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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN485+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 : n013.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 03:40:29 PM UTC 2026

% Result   : Theorem 1.66s 11.29s
% Output   : CNFRefutation 1.66s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f206ERROR: Could not build tree for root c_18255ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp18
        | hskp25
        | hskp12 )
      & ( hskp10
        | hskp12
        | hskp24 )
      & ( hskp3
        | hskp5
        | hskp29 )
      & ( hskp18
        | hskp5
        | hskp6 )
      & ( hskp5
        | hskp24
        | hskp23 )
      & ( hskp1
        | hskp23
        | hskp17 )
      & ( hskp2
        | hskp17 )
      & ( hskp15
        | hskp23
        | hskp7 )
      & ( hskp5
        | hskp23
        | hskp27 )
      & ( hskp22
        | hskp17
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c1_1(X118)
              | ~ c0_1(X118) ) ) )
      & ( hskp4
        | hskp7
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp16
        | hskp7
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c0_1(X116)
              | c2_1(X116) ) ) )
      & ( hskp4
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c0_1(X114)
              | c2_1(X114) ) ) )
      & ( hskp22
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp20
        | hskp17
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp16
        | hskp21
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp12
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp5
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | c2_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp11
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | ~ c0_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp15
        | hskp7
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp20
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp3
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c2_1(X100)
              | c1_1(X100) ) ) )
      & ( hskp10
        | hskp11
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp5
        | hskp26
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp8
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp17
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | c3_1(X95)
              | c2_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp19
        | hskp11
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp8
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c2_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c1_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp3
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c1_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp26
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp18
        | hskp26
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | c2_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp8
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp16
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp26
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp17
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp0
        | hskp11
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( hskp29
        | hskp27
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c0_1(X75) ) ) )
      & ( hskp26
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c1_1(X74)
              | ~ c0_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp16
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp27
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c1_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp0
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp4
        | hskp28
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp15
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp11
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( c3_1(X59)
              | c2_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp13
        | hskp12
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c1_1(X56)
              | c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp10
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp11
        | ! [X51] :
            ( ndr1_0
           => ( ~ c0_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp1
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp8
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c3_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp7
        | hskp27
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp10
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c3_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp9
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c0_1(X35)
              | c2_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp9
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | ~ c0_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp2
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | ~ c0_1(X31)
              | c1_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp8
        | ! [X29] :
            ( ndr1_0
           => ( ~ c2_1(X29)
              | c3_1(X29)
              | c1_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp4
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | c2_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c3_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp7
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c1_1(X23)
              | ~ c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c3_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp29
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | ~ c0_1(X16)
              | c2_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp5
        | hskp28
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c3_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp27
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp1
        | hskp26
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2077)
          & c2_1(a2077)
          & c1_1(a2077)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2075)
          & c1_1(a2075)
          & c0_1(a2075)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a2073)
          & c1_1(a2073)
          & c0_1(a2073)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a2069)
          & c2_1(a2069)
          & c0_1(a2069)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a2172)
          & ~ c0_1(a2172)
          & c1_1(a2172)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a2160)
          & c2_1(a2160)
          & c1_1(a2160)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c1_1(a2149)
          & c3_1(a2149)
          & c0_1(a2149)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a2140)
          & c3_1(a2140)
          & c2_1(a2140)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a2136)
          & c1_1(a2136)
          & c0_1(a2136)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a2130)
          & ~ c2_1(a2130)
          & ~ c1_1(a2130)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2122)
          & ~ c0_1(a2122)
          & c2_1(a2122)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a2116)
          & ~ c2_1(a2116)
          & c1_1(a2116)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2110)
          & c2_1(a2110)
          & c0_1(a2110)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a2104)
          & ~ c0_1(a2104)
          & c3_1(a2104)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a2099)
          & ~ c2_1(a2099)
          & c0_1(a2099)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a2097)
          & ~ c1_1(a2097)
          & ~ c0_1(a2097)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c1_1(a2096)
          & ~ c0_1(a2096)
          & c2_1(a2096)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a2095)
          & ~ c0_1(a2095)
          & c1_1(a2095)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a2093)
          & ~ c1_1(a2093)
          & c0_1(a2093)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2087)
          & ~ c1_1(a2087)
          & c2_1(a2087)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2084)
          & c3_1(a2084)
          & c2_1(a2084)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c0_1(a2082)
          & c2_1(a2082)
          & c1_1(a2082)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a2079)
          & c1_1(a2079)
          & c0_1(a2079)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a2078)
          & ~ c1_1(a2078)
          & c0_1(a2078)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a2076)
          & c3_1(a2076)
          & c1_1(a2076)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a2074)
          & c3_1(a2074)
          & c1_1(a2074)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2072)
          & ~ c1_1(a2072)
          & ~ c0_1(a2072)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2071)
          & c2_1(a2071)
          & c0_1(a2071)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2070)
          & c3_1(a2070)
          & c0_1(a2070)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2068)
          & ~ c0_1(a2068)
          & c3_1(a2068)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp18
          | hskp25
          | hskp12 )
        & ( hskp10
          | hskp12
          | hskp24 )
        & ( hskp3
          | hskp5
          | hskp29 )
        & ( hskp18
          | hskp5
          | hskp6 )
        & ( hskp5
          | hskp24
          | hskp23 )
        & ( hskp1
          | hskp23
          | hskp17 )
        & ( hskp2
          | hskp17 )
        & ( hskp15
          | hskp23
          | hskp7 )
        & ( hskp5
          | hskp23
          | hskp27 )
        & ( hskp22
          | hskp17
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c1_1(X118)
                | ~ c0_1(X118) ) ) )
        & ( hskp4
          | hskp7
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp16
          | hskp7
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c0_1(X116)
                | c2_1(X116) ) ) )
        & ( hskp4
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c0_1(X114)
                | c2_1(X114) ) ) )
        & ( hskp22
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp20
          | hskp17
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp16
          | hskp21
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp12
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | c2_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp11
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp15
          | hskp7
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp20
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp3
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c2_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp10
          | hskp11
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp5
          | hskp26
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp8
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp17
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c2_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp19
          | hskp11
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp8
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c2_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp3
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c1_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp18
          | hskp26
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp8
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp16
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp26
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp17
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp0
          | hskp11
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp29
          | hskp27
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp26
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c1_1(X74)
                | ~ c0_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp16
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp27
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp0
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp4
          | hskp28
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp11
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp13
          | hskp12
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp10
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp11
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp1
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp8
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c3_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp7
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp10
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp9
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp9
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | ~ c0_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp8
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp4
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | c2_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp7
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c1_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c3_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp29
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c2_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp5
          | hskp28
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c3_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp1
          | hskp26
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2077)
            & c2_1(a2077)
            & c1_1(a2077)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2075)
            & c1_1(a2075)
            & c0_1(a2075)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2073)
            & c1_1(a2073)
            & c0_1(a2073)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a2069)
            & c2_1(a2069)
            & c0_1(a2069)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a2172)
            & ~ c0_1(a2172)
            & c1_1(a2172)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a2160)
            & c2_1(a2160)
            & c1_1(a2160)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c1_1(a2149)
            & c3_1(a2149)
            & c0_1(a2149)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a2140)
            & c3_1(a2140)
            & c2_1(a2140)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2136)
            & c1_1(a2136)
            & c0_1(a2136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a2130)
            & ~ c2_1(a2130)
            & ~ c1_1(a2130)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2122)
            & ~ c0_1(a2122)
            & c2_1(a2122)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a2116)
            & ~ c2_1(a2116)
            & c1_1(a2116)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2110)
            & c2_1(a2110)
            & c0_1(a2110)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a2104)
            & ~ c0_1(a2104)
            & c3_1(a2104)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2099)
            & ~ c2_1(a2099)
            & c0_1(a2099)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2097)
            & ~ c1_1(a2097)
            & ~ c0_1(a2097)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c1_1(a2096)
            & ~ c0_1(a2096)
            & c2_1(a2096)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a2095)
            & ~ c0_1(a2095)
            & c1_1(a2095)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2093)
            & ~ c1_1(a2093)
            & c0_1(a2093)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2087)
            & ~ c1_1(a2087)
            & c2_1(a2087)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2084)
            & c3_1(a2084)
            & c2_1(a2084)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c0_1(a2082)
            & c2_1(a2082)
            & c1_1(a2082)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a2079)
            & c1_1(a2079)
            & c0_1(a2079)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a2078)
            & ~ c1_1(a2078)
            & c0_1(a2078)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2076)
            & c3_1(a2076)
            & c1_1(a2076)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a2074)
            & c3_1(a2074)
            & c1_1(a2074)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2072)
            & ~ c1_1(a2072)
            & ~ c0_1(a2072)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2071)
            & c2_1(a2071)
            & c0_1(a2071)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2070)
            & c3_1(a2070)
            & c0_1(a2070)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2068)
            & ~ c0_1(a2068)
            & c3_1(a2068)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | ~ c1_1(X118)
            | ~ c0_1(X118) ) ) )
    & ( hskp4
      | hskp7
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | ~ c1_1(X117)
            | ~ c0_1(X117) ) ) )
    & ( hskp16
      | hskp7
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | ~ c0_1(X116)
            | c2_1(X116) ) ) )
    & ( hskp4
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) )
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c0_1(X114)
            | c2_1(X114) ) ) )
    & ( hskp22
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | ~ c0_1(X113)
            | c2_1(X113) ) ) )
    & ( hskp20
      | hskp17
      | ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | ~ c0_1(X112)
            | c2_1(X112) ) ) )
    & ( hskp16
      | hskp21
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | ~ c0_1(X111)
            | c2_1(X111) ) ) )
    & ( hskp12
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | c3_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | ~ c0_1(X109)
            | c2_1(X109) ) ) )
    & ( hskp5
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c1_1(X108)
            | c2_1(X108) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c0_1(X107)
            | c2_1(X107) ) ) )
    & ( hskp11
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c1_1(X106)
            | ~ c0_1(X106) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c3_1(X105)
            | c2_1(X105) ) ) )
    & ( hskp15
      | hskp7
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | c1_1(X104) ) ) )
    & ( hskp20
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | ~ c0_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | c1_1(X102) ) ) )
    & ( hskp3
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c0_1(X101)
            | c2_1(X101) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | ~ c2_1(X100)
            | c1_1(X100) ) ) )
    & ( hskp10
      | hskp11
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c0_1(X99)
            | c1_1(X99) ) ) )
    & ( hskp5
      | hskp26
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | c1_1(X98) ) ) )
    & ( hskp8
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) ) )
    & ( hskp17
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | c3_1(X95)
            | c2_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) ) )
    & ( hskp19
      | hskp11
      | ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) ) )
    & ( hskp8
      | hskp1
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c3_1(X92)
            | c1_1(X92) ) ) )
    & ( ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c2_1(X91)
            | ~ c0_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp3
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c1_1(X88)
            | c2_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | c3_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp26
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | c1_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c3_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp18
      | hskp26
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c2_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp8
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c2_1(X83)
            | ~ c1_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp16
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | ~ c0_1(X81)
            | c3_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp26
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp1
      | hskp17
      | ! [X77] :
          ( ndr1_0
         => ( c3_1(X77)
            | c2_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp0
      | hskp11
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp29
      | hskp27
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp26
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c1_1(X74)
            | ~ c0_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp16
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c3_1(X72)
            | c2_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp27
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | c1_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp0
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c1_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp4
      | hskp28
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c2_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c0_1(X65)
            | c1_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp15
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp11
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c1_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp14
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp13
      | hskp12
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c2_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c0_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp10
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c1_1(X53) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp11
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c2_1(X51)
            | c1_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp1
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp8
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | ~ c1_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp4
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | ~ c0_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c3_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp7
      | hskp27
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp10
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp4
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c3_1(X37)
            | c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp9
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c2_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp9
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | ~ c0_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp2
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp8
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp4
      | hskp5
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c1_1(X26)
            | c2_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp7
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c1_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c3_1(X21)
            | c2_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp6
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp29
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c2_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c1_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c2_1(X13)
            | c0_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( hskp5
      | hskp28
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp4
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | c3_1(X10)
            | c1_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( hskp27
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp3
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp1
      | hskp26
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c2_1(X2)
            | c1_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c3_1(X118)
          | ~ c1_1(X118)
          | ~ c0_1(X118) ) )
    & ( hskp4
      | hskp7
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp16
      | hskp7
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116) ) )
    & ( hskp4
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) )
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c0_1(X114)
          | c2_1(X114) ) )
    & ( hskp22
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | c2_1(X113) ) )
    & ( hskp20
      | hskp17
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | c2_1(X112) ) )
    & ( hskp16
      | hskp21
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c1_1(X111)
          | ~ c0_1(X111)
          | c2_1(X111) ) )
    & ( hskp12
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) ) )
    & ( hskp5
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c1_1(X108)
          | c2_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107) ) )
    & ( hskp11
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106) )
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c2_1(X105) ) )
    & ( hskp15
      | hskp7
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104) ) )
    & ( hskp20
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c2_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | c1_1(X102) ) )
    & ( hskp3
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | c1_1(X100) ) )
    & ( hskp10
      | hskp11
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c0_1(X99)
          | c1_1(X99) ) )
    & ( hskp5
      | hskp26
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp8
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp17
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | c3_1(X95)
          | c2_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( hskp19
      | hskp11
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c3_1(X93)
          | c1_1(X93) ) )
    & ( hskp8
      | hskp1
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c1_1(X92) ) )
    & ( ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c0_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp3
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c0_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp26
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( hskp18
      | hskp26
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | c2_1(X84)
          | c1_1(X84) ) )
    & ( hskp8
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp16
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | c3_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp26
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp1
      | hskp17
      | ! [X77] :
          ( ~ ndr1_0
          | c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp0
      | hskp11
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) ) )
    & ( hskp29
      | hskp27
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | c0_1(X75) ) )
    & ( hskp26
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73) ) )
    & ( hskp16
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c2_1(X71)
          | c0_1(X71) ) )
    & ( hskp27
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69) ) )
    & ( hskp0
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68) ) )
    & ( hskp4
      | hskp28
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67) ) )
    & ( ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp15
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp11
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | c3_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp14
      | ! [X59] :
          ( ~ ndr1_0
          | c3_1(X59)
          | c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp13
      | hskp12
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( hskp10
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( hskp11
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp1
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp8
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp4
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp7
      | hskp27
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp10
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | ~ c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c3_1(X37)
          | c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp9
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp9
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp2
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp8
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp4
      | hskp5
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp7
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp6
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp29
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c2_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp5
      | hskp28
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp4
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | c3_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp27
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp3
      | hskp2
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | hskp26
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c2_1(X2)
          | c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c1_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp18
      | hskp25
      | hskp12 )
    & ( hskp10
      | hskp12
      | hskp24 )
    & ( hskp3
      | hskp5
      | hskp29 )
    & ( hskp18
      | hskp5
      | hskp6 )
    & ( hskp5
      | hskp24
      | hskp23 )
    & ( hskp1
      | hskp23
      | hskp17 )
    & ( hskp2
      | hskp17 )
    & ( hskp15
      | hskp23
      | hskp7 )
    & ( hskp5
      | hskp23
      | hskp27 )
    & ( hskp22
      | hskp17
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c3_1(X118)
          | ~ c1_1(X118)
          | ~ c0_1(X118) ) )
    & ( hskp4
      | hskp7
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp16
      | hskp7
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c3_1(X116)
          | ~ c0_1(X116)
          | c2_1(X116) ) )
    & ( hskp4
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) )
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c0_1(X114)
          | c2_1(X114) ) )
    & ( hskp22
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | c2_1(X113) ) )
    & ( hskp20
      | hskp17
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c1_1(X112)
          | ~ c0_1(X112)
          | c2_1(X112) ) )
    & ( hskp16
      | hskp21
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c1_1(X111)
          | ~ c0_1(X111)
          | c2_1(X111) ) )
    & ( hskp12
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | c3_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) ) )
    & ( hskp5
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c1_1(X108)
          | c2_1(X108) )
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107) ) )
    & ( hskp11
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106) )
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c2_1(X105) ) )
    & ( hskp15
      | hskp7
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104) ) )
    & ( hskp20
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c2_1(X103)
          | ~ c1_1(X103)
          | ~ c0_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | c1_1(X102) ) )
    & ( hskp3
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) )
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c3_1(X100)
          | ~ c2_1(X100)
          | c1_1(X100) ) )
    & ( hskp10
      | hskp11
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c0_1(X99)
          | c1_1(X99) ) )
    & ( hskp5
      | hskp26
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp8
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp17
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c1_1(X95)
          | c3_1(X95)
          | c2_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( hskp19
      | hskp11
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c3_1(X93)
          | c1_1(X93) ) )
    & ( hskp8
      | hskp1
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c1_1(X92) ) )
    & ( ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c2_1(X91)
          | ~ c0_1(X91) )
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp3
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c1_1(X88)
          | c2_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c0_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp26
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c2_1(X86)
          | c1_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( hskp18
      | hskp26
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | c2_1(X84)
          | c1_1(X84) ) )
    & ( hskp8
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c2_1(X83)
          | ~ c1_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp16
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | ~ c0_1(X81)
          | c3_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp26
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp1
      | hskp17
      | ! [X77] :
          ( ~ ndr1_0
          | c3_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp0
      | hskp11
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c0_1(X76) ) )
    & ( hskp29
      | hskp27
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | c0_1(X75) ) )
    & ( hskp26
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c1_1(X74)
          | ~ c0_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c2_1(X73)
          | c0_1(X73) ) )
    & ( hskp16
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c2_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c2_1(X71)
          | c0_1(X71) ) )
    & ( hskp27
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c2_1(X69)
          | c0_1(X69) ) )
    & ( hskp0
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c1_1(X68)
          | c0_1(X68) ) )
    & ( hskp4
      | hskp28
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67) ) )
    & ( ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c0_1(X65)
          | c1_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp15
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | c2_1(X63)
          | c1_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp11
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | c3_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp14
      | ! [X59] :
          ( ~ ndr1_0
          | c3_1(X59)
          | c2_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp13
      | hskp12
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57) ) )
    & ( ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c1_1(X56)
          | c2_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c3_1(X55)
          | ~ c0_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54) ) )
    & ( hskp10
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c3_1(X53)
          | ~ c2_1(X53)
          | c1_1(X53) )
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( hskp11
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c0_1(X51)
          | c2_1(X51)
          | c1_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp1
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c2_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp8
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | ~ c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c1_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp4
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c2_1(X45)
          | ~ c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c1_1(X44)
          | c3_1(X44)
          | c0_1(X44) ) )
    & ( hskp7
      | hskp27
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp10
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | ~ c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c3_1(X37)
          | c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp9
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp9
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( hskp2
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp8
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp4
      | hskp5
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | ~ c1_1(X26)
          | c2_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp7
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c1_1(X23)
          | ~ c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c3_1(X21)
          | c2_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp6
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c3_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp29
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c1_1(X16)
          | ~ c0_1(X16)
          | c2_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | c1_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c2_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp5
      | hskp28
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp4
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | c3_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp27
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp3
      | hskp2
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp1
      | hskp26
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c2_1(X2)
          | c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c1_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2077)
        & c2_1(a2077)
        & c1_1(a2077)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2075)
        & c1_1(a2075)
        & c0_1(a2075)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2073)
        & c1_1(a2073)
        & c0_1(a2073)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a2069)
        & c2_1(a2069)
        & c0_1(a2069)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a2172)
        & ~ c0_1(a2172)
        & c1_1(a2172)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a2160)
        & c2_1(a2160)
        & c1_1(a2160)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c1_1(a2149)
        & c3_1(a2149)
        & c0_1(a2149)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a2140)
        & c3_1(a2140)
        & c2_1(a2140)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2136)
        & c1_1(a2136)
        & c0_1(a2136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a2130)
        & ~ c2_1(a2130)
        & ~ c1_1(a2130)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2122)
        & ~ c0_1(a2122)
        & c2_1(a2122)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a2116)
        & ~ c2_1(a2116)
        & c1_1(a2116)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2110)
        & c2_1(a2110)
        & c0_1(a2110)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a2104)
        & ~ c0_1(a2104)
        & c3_1(a2104)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2099)
        & ~ c2_1(a2099)
        & c0_1(a2099)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2097)
        & ~ c1_1(a2097)
        & ~ c0_1(a2097)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c1_1(a2096)
        & ~ c0_1(a2096)
        & c2_1(a2096)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a2095)
        & ~ c0_1(a2095)
        & c1_1(a2095)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2093)
        & ~ c1_1(a2093)
        & c0_1(a2093)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2087)
        & ~ c1_1(a2087)
        & c2_1(a2087)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2084)
        & c3_1(a2084)
        & c2_1(a2084)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c0_1(a2082)
        & c2_1(a2082)
        & c1_1(a2082)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a2079)
        & c1_1(a2079)
        & c0_1(a2079)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a2078)
        & ~ c1_1(a2078)
        & c0_1(a2078)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2076)
        & c3_1(a2076)
        & c1_1(a2076)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a2074)
        & c3_1(a2074)
        & c1_1(a2074)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2072)
        & ~ c1_1(a2072)
        & ~ c0_1(a2072)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2071)
        & c2_1(a2071)
        & c0_1(a2071)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2070)
        & c3_1(a2070)
        & c0_1(a2070)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2068)
        & ~ c0_1(a2068)
        & c3_1(a2068)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f7,plain,
    ( hskp10
    | hskp12
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp3
    | hskp5
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp18
    | hskp5
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp1
    | hskp23
    | hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp5
    | hskp23
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X118] :
      ( hskp22
      | hskp17
      | ~ ndr1_0
      | ~ c3_1(X118)
      | ~ c1_1(X118)
      | ~ c0_1(X118) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X117] :
      ( hskp4
      | hskp7
      | ~ ndr1_0
      | ~ c2_1(X117)
      | ~ c1_1(X117)
      | ~ c0_1(X117) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X113] :
      ( hskp22
      | ~ ndr1_0
      | ~ c1_1(X113)
      | ~ c0_1(X113)
      | c2_1(X113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X99] :
      ( hskp10
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X99)
      | ~ c0_1(X99)
      | c1_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f29,plain,
    ! [X98] :
      ( hskp5
      | hskp26
      | ~ ndr1_0
      | ~ c3_1(X98)
      | ~ c0_1(X98)
      | c1_1(X98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X92] :
      ( hskp8
      | hskp1
      | ~ ndr1_0
      | ~ c0_1(X92)
      | c3_1(X92)
      | c1_1(X92) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X84] :
      ( hskp18
      | hskp26
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c2_1(X84)
      | c1_1(X84) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X76] :
      ( hskp0
      | hskp11
      | ~ ndr1_0
      | ~ c3_1(X76)
      | ~ c2_1(X76)
      | c0_1(X76) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X68] :
      ( hskp0
      | ~ ndr1_0
      | ~ c3_1(X68)
      | ~ c1_1(X68)
      | c0_1(X68) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X57] :
      ( hskp13
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X27] :
      ( hskp4
      | hskp5
      | ~ ndr1_0
      | c3_1(X27)
      | c2_1(X27)
      | c0_1(X27) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ! [X5] :
      ( hskp1
      | hskp26
      | ~ ndr1_0
      | c2_1(X5)
      | c1_1(X5)
      | c0_1(X5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( c3_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( c2_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c1_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c1_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c3_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c2_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c0_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c2_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c1_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c0_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( c3_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c2_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c3_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c2_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c1_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c2_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c0_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c3_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c2_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c1_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c0_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c2_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c0_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c1_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c1_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c1_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c2_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c1_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c3_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c2_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c1_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c3_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c1_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c2_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c1_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c0_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c0_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c3_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c2_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c1_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ c0_1(a2072)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c2_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c0_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c2_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c0_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c3_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c3_1(a2068)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2068) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a2068) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_55,negated_conjecture,
    ( c3_1(a2070)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2070) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_61,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_62,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a2072) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_63,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a2072) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a2072) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_66,negated_conjecture,
    ( c1_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_67,negated_conjecture,
    ( c3_1(a2074)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a2074) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_69,negated_conjecture,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_70,negated_conjecture,
    ( c1_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a2076)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a2076) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a2078)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a2078) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a2078) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_78,negated_conjecture,
    ( c0_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_79,negated_conjecture,
    ( c1_1(a2079)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a2079) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_82,negated_conjecture,
    ( c1_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_83,negated_conjecture,
    ( c2_1(a2082)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a2082) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_86,negated_conjecture,
    ( c2_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_87,negated_conjecture,
    ( c3_1(a2084)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a2084) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_90,negated_conjecture,
    ( c2_1(a2087)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a2087) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2087) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_94,negated_conjecture,
    ( c0_1(a2093)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2093) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a2093) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_98,negated_conjecture,
    ( c1_1(a2095)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a2095) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a2095) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_102,negated_conjecture,
    ( c2_1(a2096)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a2096) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a2096) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a2099)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a2099) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a2099) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_118,negated_conjecture,
    ( c0_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_119,negated_conjecture,
    ( c2_1(a2110)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2110) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_122,negated_conjecture,
    ( c1_1(a2116)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a2116) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a2116) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_138,negated_conjecture,
    ( c2_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_139,negated_conjecture,
    ( c3_1(a2140)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a2140) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_143,negated_conjecture,
    ( c3_1(a2149)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a2149) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_147,negated_conjecture,
    ( c2_1(a2160)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a2160) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_155,negated_conjecture,
    ( c2_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_156,negated_conjecture,
    ( c3_1(a2069)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_158,negated_conjecture,
    ( c0_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_159,negated_conjecture,
    ( c1_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_160,negated_conjecture,
    ( c3_1(a2073)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_165,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_166,negated_conjecture,
    ( c1_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a2077)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_170,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp1
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp18
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp1
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp17
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_236,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp5 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_239,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp1 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_241,negated_conjecture,
    ( hskp18
    | hskp6
    | hskp5 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_242,negated_conjecture,
    ( hskp29
    | hskp5
    | hskp3 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_243,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_249,plain,
    ( hskp26
    | hskp1
    | c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068)
    | ~ ndr1_0 ),
    inference(instantiation,[status(thm)],[c_171]) ).

tcf(c_268,plain,
    ( hskp4
    | c1_1(a2068)
    | c0_1(a2068)
    | c3_1(a2068)
    | ~ ndr1_0
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_174]) ).

tcf(c_270,plain,
    ( hskp4
    | c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068)
    | ~ ndr1_0
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_188]) ).

tcf(c_271,plain,
    ( hskp1
    | c0_1(a2068)
    | c3_1(a2068)
    | ~ ndr1_0
    | ~ c1_1(a2068)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_193]) ).

tcf(c_274,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_165,c_242,c_165,c_69,c_61]) ).

tcf(c_337,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_242,c_165,c_69,c_61,c_182]) ).

tcf(c_339,plain,
    ( hskp5
    | hskp4
    | c2_1(a2068)
    | c0_1(a2068)
    | c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_337]) ).

tcf(c_346,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp1
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_242,c_165,c_69,c_61,c_171]) ).

tcf(c_348,plain,
    ( hskp26
    | hskp1
    | c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068) ),
    inference(instantiation,[status(thm)],[c_346]) ).

tcf(c_349,plain,
    ! [X0: $i] :
      ( hskp22
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_242,c_165,c_69,c_61,c_231]) ).

tcf(c_350,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_349]) ).

tcf(c_355,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp1
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_242,c_165,c_69,c_61,c_217]) ).

tcf(c_358,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp18
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_242,c_165,c_69,c_61,c_213]) ).

tcf(c_361,plain,
    ! [X0: $i] :
      ( hskp0
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_242,c_165,c_69,c_61,c_203]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_361]) ).

tcf(c_364,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_242,c_165,c_69,c_61,c_197]) ).

tcf(c_382,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_242,c_165,c_69,c_61,c_222]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp10
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_382]) ).

tcf(c_385,plain,
    ! [X0: $i] :
      ( hskp26
      | hskp5
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_242,c_165,c_69,c_61,c_221]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp26
      | hskp5
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_385]) ).

tcf(c_388,plain,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_242,c_165,c_69,c_61,c_208]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp11
      | hskp0
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_388]) ).

tcf(c_397,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp17
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_242,c_165,c_69,c_61,c_235]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp17
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_397]) ).

tcf(c_400,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_242,c_165,c_69,c_61,c_234]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_242,c_165,c_69,c_61,c_174]) ).

tcf(c_405,plain,
    ( hskp4
    | c1_1(a2068)
    | c0_1(a2068)
    | c3_1(a2068)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_403]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_242,c_165,c_69,c_61,c_173]) ).

tcf(c_408,plain,
    ( hskp27
    | c1_1(a2068)
    | c0_1(a2068)
    | c3_1(a2068)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_406]) ).

tcf(c_413,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_242,c_165,c_69,c_61,c_188]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_413]) ).

tcf(c_415,plain,
    ( hskp4
    | c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_414]) ).

tcf(c_416,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_242,c_165,c_69,c_61,c_183]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_416]) ).

tcf(c_422,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_242,c_165,c_69,c_61,c_215]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

tcf(c_424,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_242,c_165,c_69,c_61,c_214]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_424]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_242,c_165,c_69,c_61,c_200]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_430]) ).

tcf(c_432,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_242,c_165,c_69,c_61,c_199]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_432]) ).

tcf(c_436,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_242,c_165,c_69,c_61,c_193]) ).

tcf(c_437,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_436]) ).

tcf(c_438,plain,
    ( hskp1
    | c0_1(a2068)
    | c3_1(a2068)
    | ~ c1_1(a2068)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_437]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_242,c_165,c_69,c_61,c_186]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_242,c_165,c_69,c_61,c_177]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c1_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_170,c_242,c_165,c_69,c_61,c_170]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | 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_232,c_242,c_165,c_69,c_61,c_232]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | 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] :
      ( hskp12
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_242,c_165,c_69,c_61,c_228]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_242,c_165,c_69,c_61,c_227]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_460,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_242,c_165,c_69,c_61,c_223]) ).

tcf(c_461,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_460]) ).

tcf(c_462,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_242,c_165,c_69,c_61,c_212]) ).

tcf(c_463,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_462]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_242,c_165,c_69,c_61,c_204]) ).

tcf(c_467,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp27
      | c1_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_466]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_242,c_165,c_69,c_61,c_191]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c0_1(X1)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_473,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_242,c_165,c_69,c_61,c_189]) ).

tcf(c_474,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X0)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_473]) ).

tcf(c_475,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_242,c_165,c_69,c_61,c_180]) ).

tcf(c_476,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_475]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_242,c_165,c_69,c_61,c_206]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp26
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_242,c_165,c_69,c_61,c_169]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_242,c_165,c_69,c_61,c_187]) ).

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

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_242,c_165,c_69,c_61,c_181]) ).

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

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c2_1(X2)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_242,c_165,c_69,c_61,c_179]) ).

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

tcf(c_489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_242,c_165,c_69,c_61,c_196]) ).

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

tcf(c_491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_176,c_274]) ).

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

tcf(c_493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c0_1(X0)
      | ~ 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_201,c_242,c_165,c_69,c_61,c_201]) ).

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

tcf(c_495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_242,c_165,c_69,c_61,c_216]) ).

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

tcf(c_2022,plain,
    ( hskp12
    | hskp10
    | ~ c3_1(a2160) ),
    inference(resolution,[status(thm)],[c_243,c_148]) ).

tcf(c_2032,plain,
    ( hskp12
    | hskp10
    | c2_1(a2160) ),
    inference(resolution,[status(thm)],[c_243,c_147]) ).

tcf(c_2042,plain,
    ( hskp12
    | hskp10
    | c1_1(a2160) ),
    inference(resolution,[status(thm)],[c_243,c_146]) ).

tcf(c_2373,plain,
    ( hskp18
    | hskp5
    | ~ c2_1(a2078) ),
    inference(resolution,[status(thm)],[c_241,c_76]) ).

tcf(c_2383,plain,
    ( hskp18
    | hskp5
    | ~ c1_1(a2078) ),
    inference(resolution,[status(thm)],[c_241,c_75]) ).

tcf(c_2393,plain,
    ( hskp18
    | hskp5
    | c0_1(a2078) ),
    inference(resolution,[status(thm)],[c_241,c_74]) ).

tcf(c_2748,plain,
    ( hskp17
    | hskp1
    | ~ c1_1(a2149) ),
    inference(resolution,[status(thm)],[c_239,c_144]) ).

tcf(c_2758,plain,
    ( hskp17
    | hskp1
    | c3_1(a2149) ),
    inference(resolution,[status(thm)],[c_239,c_143]) ).

tcf(c_2768,plain,
    ( hskp17
    | hskp1
    | c0_1(a2149) ),
    inference(resolution,[status(thm)],[c_239,c_142]) ).

tcf(c_2808,plain,
    ( hskp27
    | hskp5
    | ~ c1_1(a2149) ),
    inference(resolution,[status(thm)],[c_236,c_144]) ).

tcf(c_2818,plain,
    ( hskp27
    | hskp5
    | c3_1(a2149) ),
    inference(resolution,[status(thm)],[c_236,c_143]) ).

tcf(c_2828,plain,
    ( hskp27
    | hskp5
    | c0_1(a2149) ),
    inference(resolution,[status(thm)],[c_236,c_142]) ).

tcf(c_3537,plain,
    ( hskp5
    | hskp3
    | c3_1(a2077) ),
    inference(resolution,[status(thm)],[c_242,c_168]) ).

tcf(c_3547,plain,
    ( hskp5
    | hskp3
    | c2_1(a2077) ),
    inference(resolution,[status(thm)],[c_242,c_167]) ).

tcf(c_3557,plain,
    ( hskp5
    | hskp3
    | c1_1(a2077) ),
    inference(resolution,[status(thm)],[c_242,c_166]) ).

tcf(c_3678,plain,
    ! [X0: $i] :
      ( hskp11
      | c0_1(X0)
      | ~ c2_1(a2068)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_389,c_52]) ).

tcf(c_3679,plain,
    ( hskp11
    | c0_1(a2068)
    | ~ c2_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_3678]) ).

tcf(c_3727,plain,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ c2_1(a2068)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_362,c_52]) ).

tcf(c_3728,plain,
    ( c0_1(a2068)
    | ~ c1_1(a2068)
    | ~ c2_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_3727]) ).

tcf(c_3905,plain,
    ! [X0: $i] :
      ( hskp26
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(a2116)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_358,c_124]) ).

tcf(c_3906,plain,
    ( hskp26
    | c1_1(a2068)
    | c2_1(a2068)
    | ~ c3_1(a2116)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_3905]) ).

tcf(c_3922,plain,
    ! [X0: $i] :
      ( hskp26
      | c1_1(X0)
      | c2_1(X0)
      | ~ c2_1(a2116)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_358,c_123]) ).

tcf(c_3923,plain,
    ( hskp26
    | c1_1(a2068)
    | c2_1(a2068)
    | ~ c2_1(a2116)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_3922]) ).

tcf(c_3939,plain,
    ! [X0: $i] :
      ( hskp26
      | c1_1(a2116)
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_358,c_122]) ).

tcf(c_3940,plain,
    ( hskp26
    | c1_1(a2116)
    | c1_1(a2068)
    | c2_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_3939]) ).

tcf(c_4220,plain,
    ( hskp29
    | hskp5
    | ~ c3_1(a2072) ),
    inference(resolution,[status(thm)],[c_242,c_64]) ).

tcf(c_4230,plain,
    ( hskp29
    | hskp5
    | ~ c1_1(a2072) ),
    inference(resolution,[status(thm)],[c_242,c_63]) ).

tcf(c_4240,plain,
    ( hskp29
    | hskp5
    | ~ c0_1(a2072) ),
    inference(resolution,[status(thm)],[c_242,c_62]) ).

tcf(c_5210,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c2_1(a2070)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_437,c_56]) ).

tcf(c_5211,plain,
    ( c0_1(a2068)
    | c3_1(a2068)
    | ~ c1_1(a2068)
    | ~ c2_1(a2070)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_5210]) ).

tcf(c_5233,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(a2070)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_437,c_55]) ).

tcf(c_5234,plain,
    ( c0_1(a2068)
    | c3_1(a2070)
    | c3_1(a2068)
    | ~ c1_1(a2068)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_5233]) ).

tcf(c_5256,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(a2070)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(resolution,[status(thm)],[c_437,c_54]) ).

tcf(c_5257,plain,
    ( c0_1(a2070)
    | c0_1(a2068)
    | c3_1(a2068)
    | ~ c1_1(a2068)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_5256]) ).

tcf(c_5888,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(a2073)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_467,c_160]) ).

tcf(c_5889,plain,
    ( c1_1(a2068)
    | c0_1(a2068)
    | c3_1(a2073)
    | ~ c2_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_5888]) ).

tcf(c_5911,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(a2073)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_467,c_159]) ).

tcf(c_5912,plain,
    ( c1_1(a2073)
    | c1_1(a2068)
    | c0_1(a2068)
    | ~ c2_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_5911]) ).

tcf(c_5934,plain,
    ! [X0: $i,X1: $i] :
      ( c0_1(a2073)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_467,c_158]) ).

tcf(c_5935,plain,
    ( c1_1(a2068)
    | c0_1(a2073)
    | c0_1(a2068)
    | ~ c2_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_5934]) ).

tcf(c_8246,plain,
    ! [X0: $i] :
      ( hskp1
      | c3_1(a2069)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(resolution,[status(thm)],[c_346,c_156]) ).

tcf(c_8247,plain,
    ( hskp1
    | c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068)
    | c3_1(a2069) ),
    inference(instantiation,[status(thm)],[c_8246]) ).

tcf(c_8263,plain,
    ! [X0: $i] :
      ( hskp1
      | c2_1(a2069)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(resolution,[status(thm)],[c_346,c_155]) ).

tcf(c_8264,plain,
    ( hskp1
    | c1_1(a2068)
    | c2_1(a2069)
    | c2_1(a2068)
    | c0_1(a2068) ),
    inference(instantiation,[status(thm)],[c_8263]) ).

tcf(c_8280,plain,
    ! [X0: $i] :
      ( hskp1
      | c0_1(a2069)
      | c1_1(X0)
      | c2_1(X0)
      | c0_1(X0) ),
    inference(resolution,[status(thm)],[c_346,c_154]) ).

tcf(c_8281,plain,
    ( hskp1
    | c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2069)
    | c0_1(a2068) ),
    inference(instantiation,[status(thm)],[c_8280]) ).

tcf(c_8537,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(a2074)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_414,c_68]) ).

tcf(c_8538,plain,
    ( c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068)
    | ~ c2_1(a2074)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_8537]) ).

tcf(c_8560,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(a2074)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_414,c_67]) ).

tcf(c_8561,plain,
    ( c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068)
    | c3_1(a2074)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_8560]) ).

tcf(c_8583,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(a2074)
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_414,c_66]) ).

tcf(c_8584,plain,
    ( c1_1(a2074)
    | c1_1(a2068)
    | c2_1(a2068)
    | c0_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_8583]) ).

tcf(c_8777,plain,
    ! [X0: $i] :
      ( hskp5
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(a2074) ),
    inference(resolution,[status(thm)],[c_337,c_68]) ).

tcf(c_8778,plain,
    ( hskp5
    | c2_1(a2068)
    | c0_1(a2068)
    | c3_1(a2068)
    | ~ c2_1(a2074) ),
    inference(instantiation,[status(thm)],[c_8777]) ).

tcf(c_8811,plain,
    ! [X0: $i] :
      ( hskp5
      | c1_1(a2074)
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(resolution,[status(thm)],[c_337,c_66]) ).

tcf(c_8812,plain,
    ( hskp5
    | c1_1(a2074)
    | c2_1(a2068)
    | c0_1(a2068)
    | c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_8811]) ).

tcf(c_17230,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_496]) ).

tcf(c_17231,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_496]) ).

tcf(c_17232,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_496]) ).

tcf(c_17233,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_17234,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_494]) ).

tcf(c_17235,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_494]) ).

tcf(c_17236,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_494]) ).

tcf(c_17237,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

tcf(c_17239,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_492]) ).

tcf(c_17240,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_492]) ).

tcf(c_17242,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_490]) ).

tcf(c_17243,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_490]) ).

tcf(c_17244,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_490]) ).

tcf(c_17245,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

tcf(c_17246,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_488]) ).

tcf(c_17247,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_488]) ).

tcf(c_17248,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_488]) ).

tcf(c_17249,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_17250,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_486]) ).

tcf(c_17251,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c3_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_486]) ).

tcf(c_17252,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_17253,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_484]) ).

tcf(c_17254,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_484]) ).

tcf(c_17256,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_481]) ).

tcf(c_17257,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_481]) ).

tcf(c_17258,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_481]) ).

tcf(c_17259,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_17260,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_480]) ).

tcf(c_17261,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

tcf(c_17263,negated_conjecture,
    ( iPr_def_24
    | iPr_def_12
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

tcf(c_17264,negated_conjecture,
    ( iPr_def_28
    | iPr_def_10
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

tcf(c_17265,negated_conjecture,
    ( iPr_def_27
    | iPr_def_10
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_17268,negated_conjecture,
    ( iPr_def_23
    | iPr_def_18
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

tcf(c_17271,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_463]) ).

tcf(c_17273,negated_conjecture,
    ( iPr_def_23
    | iPr_def_21
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

tcf(c_17276,negated_conjecture,
    ( iPr_def_20
    | iPr_def_13
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_17277,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_454]) ).

tcf(c_17278,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_17279,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_452]) ).

tcf(c_17280,negated_conjecture,
    ( iPr_def_38
    | iPr_def_21
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_17281,negated_conjecture,
    ( iPr_def_30
    | iPr_def_10
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_17282,negated_conjecture,
    ( iPr_def_17
    | iPr_def_13
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_17286,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

tcf(c_17287,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_437]) ).

tcf(c_17288,negated_conjecture,
    ( iPr_def_39
    | iPr_def_19
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_437]) ).

tcf(c_17290,negated_conjecture,
    ( iPr_def_39
    | iPr_def_26
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

tcf(c_17291,negated_conjecture,
    ( iPr_def_35
    | iPr_def_15
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_17294,negated_conjecture,
    ( iPr_def_23
    | iPr_def_11
    | hskp26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

tcf(c_17295,negated_conjecture,
    ( iPr_def_20
    | iPr_def_11
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

tcf(c_17298,negated_conjecture,
    ( iPr_def_31
    | iPr_def_26
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_17299,negated_conjecture,
    ( iPr_def_35
    | iPr_def_28
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_17302,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c3_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_406]) ).

tcf(c_17303,negated_conjecture,
    ( iPr_def_40
    | iPr_def_17
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_406]) ).

tcf(c_17304,negated_conjecture,
    ( iPr_def_40
    | iPr_def_26
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_403]) ).

tcf(c_17305,negated_conjecture,
    ( iPr_def_32
    | hskp7
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_17306,negated_conjecture,
    ( iPr_def_12
    | hskp22
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

tcf(c_17309,negated_conjecture,
    ( iPr_def_18
    | hskp11
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_17310,negated_conjecture,
    ( iPr_def_14
    | hskp26
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

tcf(c_17311,negated_conjecture,
    ( iPr_def_14
    | hskp11
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

tcf(c_17317,negated_conjecture,
    ( iPr_def_19
    | hskp13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

tcf(c_17319,negated_conjecture,
    ( iPr_def_11
    | hskp8
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_355]) ).

tcf(c_17324,negated_conjecture,
    ( iPr_def_25
    | hskp5
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_337]) ).

tcf(c_17329,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_17233]) ).

tcf(c_17333,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_17237]) ).

tcf(c_17341,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_17245]) ).

tcf(c_17345,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(demodulation,[status(thm)],[c_17249]) ).

tcf(c_17349,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_17252]) ).

tcf(c_17357,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_29 ),
    inference(demodulation,[status(thm)],[c_17259]) ).

tcf(c_17361,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp26 ),
    inference(demodulation,[status(thm)],[c_17261]) ).

tcf(c_17367,negated_conjecture,
    ( iPr_def_24
    | iPr_def_12
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_17263]) ).

tcf(c_17370,negated_conjecture,
    ( iPr_def_28
    | iPr_def_10
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_17264]) ).

tcf(c_17373,negated_conjecture,
    ( iPr_def_27
    | iPr_def_10
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17265]) ).

tcf(c_17378,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_27
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17253]) ).

tcf(c_17379,negated_conjecture,
    ( iPr_def_23
    | iPr_def_18
    | hskp27 ),
    inference(demodulation,[status(thm)],[c_17268]) ).

tcf(c_17388,negated_conjecture,
    ( iPr_def_23
    | iPr_def_21
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_17273]) ).

tcf(c_17394,negated_conjecture,
    ( iPr_def_20
    | iPr_def_13
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_17276]) ).

tcf(c_17397,negated_conjecture,
    ( iPr_def_37
    | iPr_def_13
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_17278]) ).

tcf(c_17399,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_37
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17277]) ).

tcf(c_17400,negated_conjecture,
    ( iPr_def_38
    | iPr_def_21
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17280]) ).

tcf(c_17403,negated_conjecture,
    ( iPr_def_30
    | iPr_def_10
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_17281]) ).

tcf(c_17404,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17230]) ).

tcf(c_17406,negated_conjecture,
    ( iPr_def_17
    | iPr_def_13
    | hskp29 ),
    inference(demodulation,[status(thm)],[c_17282]) ).

tcf(c_17410,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_24
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17248]) ).

tcf(c_17418,negated_conjecture,
    ( iPr_def_31
    | iPr_def_21
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_17286]) ).

tcf(c_17421,negated_conjecture,
    ( iPr_def_39
    | iPr_def_19
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_17288]) ).

tcf(c_17427,negated_conjecture,
    ( iPr_def_39
    | iPr_def_26
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_17290]) ).

tcf(c_17430,negated_conjecture,
    ( iPr_def_35
    | iPr_def_15
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_17291]) ).

tcf(c_17438,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_38
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17279]) ).

tcf(c_17439,negated_conjecture,
    ( iPr_def_23
    | iPr_def_11
    | hskp26 ),
    inference(demodulation,[status(thm)],[c_17294]) ).

tcf(c_17442,negated_conjecture,
    ( iPr_def_20
    | iPr_def_11
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_17295]) ).

tcf(c_17443,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_20
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17243]) ).

tcf(c_17450,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_22
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17246]) ).

tcf(c_17451,negated_conjecture,
    ( iPr_def_31
    | iPr_def_26
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_17298]) ).

tcf(c_17453,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_31
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_17258]) ).

tcf(c_17454,negated_conjecture,
    ( iPr_def_35
    | iPr_def_28
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17299]) ).

tcf(c_17461,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_39
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17287]) ).

tcf(c_17463,negated_conjecture,
    ( iPr_def_40
    | iPr_def_17
    | hskp27 ),
    inference(demodulation,[status(thm)],[c_17303]) ).

tcf(c_17464,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_17
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17239]) ).

tcf(c_17466,negated_conjecture,
    ( iPr_def_40
    | iPr_def_26
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17304]) ).

tcf(c_17467,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_26
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17251]) ).

tcf(c_17469,negated_conjecture,
    ( iPr_def_32
    | hskp7
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17305]) ).

tcf(c_17470,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17260]) ).

tcf(c_17471,negated_conjecture,
    ( iPr_def_12
    | hskp22
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_17306]) ).

tcf(c_17472,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17232]) ).

tcf(c_17474,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17236]) ).

tcf(c_17477,negated_conjecture,
    ( iPr_def_18
    | hskp11
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_17309]) ).

tcf(c_17478,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17240]) ).

tcf(c_17479,negated_conjecture,
    ( iPr_def_14
    | hskp26
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_17310]) ).

tcf(c_17481,negated_conjecture,
    ( iPr_def_14
    | hskp11
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_17311]) ).

tcf(c_17482,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17235]) ).

tcf(c_17484,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_23
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17247]) ).

tcf(c_17488,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17234]) ).

tcf(c_17490,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_21
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17244]) ).

tcf(c_17492,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_28
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17254]) ).

tcf(c_17493,negated_conjecture,
    ( iPr_def_19
    | hskp13
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_17317]) ).

tcf(c_17494,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_19
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_17242]) ).

tcf(c_17495,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_362]) ).

tcf(c_17497,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ iPr_def_35
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_17271]) ).

tcf(c_17498,negated_conjecture,
    ( iPr_def_11
    | hskp8
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_17319]) ).

tcf(c_17501,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_11
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_17231]) ).

tcf(c_17502,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_350]) ).

tcf(c_17506,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_30 ),
    inference(demodulation,[status(thm)],[c_17257]) ).

tcf(c_17508,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_40 ),
    inference(demodulation,[status(thm)],[c_17302]) ).

tcf(c_17509,negated_conjecture,
    ( iPr_def_25
    | hskp5
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_17324]) ).

tcf(c_17510,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_25 ),
    inference(demodulation,[status(thm)],[c_17250]) ).

tcf(c_17512,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_29 ),
    inference(demodulation,[status(thm)],[c_17256]) ).

tcf(c_17614,plain,
    ( c0_1(a2068)
    | c3_1(a2068)
    | ~ iPr_def_19
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17494]) ).

tcf(c_17615,plain,
    ( c1_1(a2068)
    | c0_1(a2068)
    | ~ iPr_def_24
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17410]) ).

tcf(c_17617,plain,
    ( c1_1(a2068)
    | c3_1(a2068)
    | ~ iPr_def_26
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17467]) ).

tcf(c_17618,plain,
    ( c2_1(a2068)
    | c0_1(a2068)
    | ~ iPr_def_28
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17492]) ).

tcf(c_17619,plain,
    ( c0_1(a2068)
    | c3_1(a2068)
    | ~ iPr_def_27
    | ~ c1_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17378]) ).

tcf(c_17620,plain,
    ( c2_1(a2068)
    | c0_1(a2068)
    | ~ iPr_def_31
    | ~ c1_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17453]) ).

tcf(c_17622,plain,
    ( c1_1(a2068)
    | c2_1(a2068)
    | ~ iPr_def_35
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17497]) ).

tcf(c_17630,plain,
    ( c2_1(a2068)
    | ~ iPr_def_20
    | ~ c1_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17443]) ).

tcf(c_17631,plain,
    ( c1_1(a2068)
    | ~ iPr_def_23
    | ~ c2_1(a2068)
    | ~ c3_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17484]) ).

tcf(c_17632,plain,
    ( c3_1(a2068)
    | ~ iPr_def_37
    | ~ c1_1(a2068)
    | ~ c2_1(a2068) ),
    inference(instantiation,[status(thm)],[c_17399]) ).

tcf(c_17652,plain,
    ( ~ iPr_def_10
    | ~ c2_1(a2110)
    | ~ c0_1(a2110)
    | ~ c3_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17404]) ).

tcf(c_17654,plain,
    ( ~ iPr_def_10
    | ~ c2_1(a2069)
    | ~ c0_1(a2069)
    | ~ c3_1(a2069) ),
    inference(instantiation,[status(thm)],[c_17404]) ).

tcf(c_17655,plain,
    ( c2_1(a2074)
    | ~ iPr_def_20
    | ~ c1_1(a2074)
    | ~ c3_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17443]) ).

tcf(c_17661,plain,
    ( c2_1(a2073)
    | ~ iPr_def_20
    | ~ c1_1(a2073)
    | ~ c3_1(a2073) ),
    inference(instantiation,[status(thm)],[c_17443]) ).

tcf(c_17664,plain,
    ( c2_1(a2079)
    | c3_1(a2079)
    | ~ iPr_def_22
    | ~ c1_1(a2079) ),
    inference(instantiation,[status(thm)],[c_17450]) ).

tcf(c_17669,plain,
    ( c2_1(a2074)
    | ~ iPr_def_13
    | ~ c1_1(a2074)
    | ~ c0_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17488]) ).

tcf(c_17671,plain,
    ( c2_1(a2079)
    | ~ iPr_def_13
    | ~ c1_1(a2079)
    | ~ c0_1(a2079) ),
    inference(instantiation,[status(thm)],[c_17488]) ).

tcf(c_17675,plain,
    ( c2_1(a2073)
    | ~ iPr_def_13
    | ~ c1_1(a2073)
    | ~ c0_1(a2073) ),
    inference(instantiation,[status(thm)],[c_17488]) ).

tcf(c_17676,plain,
    ( hskp0
    | c0_1(a2074)
    | ~ c1_1(a2074)
    | ~ c3_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17495]) ).

tcf(c_17677,plain,
    ( hskp0
    | c0_1(a2076)
    | ~ c1_1(a2076)
    | ~ c3_1(a2076) ),
    inference(instantiation,[status(thm)],[c_17495]) ).

tcf(c_17679,plain,
    ( hskp0
    | c0_1(a2082)
    | ~ c1_1(a2082)
    | ~ c3_1(a2082) ),
    inference(instantiation,[status(thm)],[c_17495]) ).

tcf(c_17683,plain,
    ( hskp22
    | c2_1(a2074)
    | ~ c1_1(a2074)
    | ~ c0_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17502]) ).

tcf(c_17685,plain,
    ( hskp22
    | c2_1(a2079)
    | ~ c1_1(a2079)
    | ~ c0_1(a2079) ),
    inference(instantiation,[status(thm)],[c_17502]) ).

tcf(c_17691,plain,
    ( c1_1(a2072)
    | c2_1(a2072)
    | c3_1(a2072)
    | ~ iPr_def_29 ),
    inference(instantiation,[status(thm)],[c_17512]) ).

tcf(c_17716,plain,
    ( c1_1(a2078)
    | c3_1(a2078)
    | ~ iPr_def_11
    | ~ c0_1(a2078) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

tcf(c_17718,plain,
    ( c1_1(a2093)
    | c3_1(a2093)
    | ~ iPr_def_11
    | ~ c0_1(a2093) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

tcf(c_17719,plain,
    ( c1_1(a2099)
    | c3_1(a2099)
    | ~ iPr_def_11
    | ~ c0_1(a2099) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

tcf(c_17720,plain,
    ( c1_1(a2110)
    | c3_1(a2110)
    | ~ iPr_def_11
    | ~ c0_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

tcf(c_17724,plain,
    ( c1_1(a2072)
    | c2_1(a2072)
    | c0_1(a2072)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_17506]) ).

tcf(c_17739,plain,
    ( c2_1(a2099)
    | c3_1(a2099)
    | ~ iPr_def_22
    | ~ c1_1(a2099) ),
    inference(instantiation,[status(thm)],[c_17450]) ).

tcf(c_17744,plain,
    ( c1_1(a2070)
    | ~ iPr_def_14
    | ~ c0_1(a2070)
    | ~ c3_1(a2070) ),
    inference(instantiation,[status(thm)],[c_17482]) ).

tcf(c_17750,plain,
    ( c1_1(a2110)
    | ~ iPr_def_14
    | ~ c0_1(a2110)
    | ~ c3_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17482]) ).

tcf(c_17751,plain,
    ( c1_1(a2149)
    | ~ iPr_def_14
    | ~ c0_1(a2149)
    | ~ c3_1(a2149) ),
    inference(instantiation,[status(thm)],[c_17482]) ).

tcf(c_17755,plain,
    ( c0_1(a2082)
    | c3_1(a2082)
    | ~ iPr_def_19
    | ~ c2_1(a2082) ),
    inference(instantiation,[status(thm)],[c_17494]) ).

tcf(c_17757,plain,
    ( c0_1(a2087)
    | c3_1(a2087)
    | ~ iPr_def_19
    | ~ c2_1(a2087) ),
    inference(instantiation,[status(thm)],[c_17494]) ).

tcf(c_17760,plain,
    ( c0_1(a2160)
    | c3_1(a2160)
    | ~ iPr_def_19
    | ~ c2_1(a2160) ),
    inference(instantiation,[status(thm)],[c_17494]) ).

tcf(c_17763,plain,
    ( c1_1(a2140)
    | c0_1(a2140)
    | ~ iPr_def_17
    | ~ c2_1(a2140) ),
    inference(instantiation,[status(thm)],[c_17464]) ).

tcf(c_17767,plain,
    ( c2_1(a2072)
    | c0_1(a2072)
    | c3_1(a2072)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_17510]) ).

tcf(c_17777,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2070)
    | ~ c0_1(a2070)
    | ~ c3_1(a2070) ),
    inference(instantiation,[status(thm)],[c_17472]) ).

tcf(c_17785,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2069)
    | ~ c0_1(a2069)
    | ~ c3_1(a2069) ),
    inference(instantiation,[status(thm)],[c_17472]) ).

tcf(c_17786,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2073)
    | ~ c0_1(a2073)
    | ~ c3_1(a2073) ),
    inference(instantiation,[status(thm)],[c_17472]) ).

tcf(c_17801,plain,
    ( c2_1(a2070)
    | ~ iPr_def_13
    | ~ c1_1(a2070)
    | ~ c0_1(a2070) ),
    inference(instantiation,[status(thm)],[c_17488]) ).

tcf(c_17811,plain,
    ( c2_1(a2070)
    | ~ iPr_def_21
    | ~ c0_1(a2070)
    | ~ c3_1(a2070) ),
    inference(instantiation,[status(thm)],[c_17490]) ).

tcf(c_17813,plain,
    ( c2_1(a2078)
    | ~ iPr_def_21
    | ~ c0_1(a2078)
    | ~ c3_1(a2078) ),
    inference(instantiation,[status(thm)],[c_17490]) ).

tcf(c_17820,plain,
    ( c2_1(a2073)
    | ~ iPr_def_21
    | ~ c0_1(a2073)
    | ~ c3_1(a2073) ),
    inference(instantiation,[status(thm)],[c_17490]) ).

tcf(c_17822,plain,
    ( c0_1(a2072)
    | c3_1(a2072)
    | ~ iPr_def_19
    | ~ c2_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17494]) ).

tcf(c_17823,plain,
    ( c1_1(a2072)
    | c0_1(a2072)
    | ~ iPr_def_17
    | ~ c2_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17464]) ).

tcf(c_17834,plain,
    ( ~ iPr_def_10
    | ~ c2_1(a2073)
    | ~ c0_1(a2073)
    | ~ c3_1(a2073) ),
    inference(instantiation,[status(thm)],[c_17404]) ).

tcf(c_17841,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ iPr_def_11
    | ~ c0_1(a2087) ),
    inference(instantiation,[status(thm)],[c_17501]) ).

tcf(c_17875,plain,
    ( c0_1(a2140)
    | ~ iPr_def_18
    | ~ c2_1(a2140)
    | ~ c3_1(a2140) ),
    inference(instantiation,[status(thm)],[c_17478]) ).

tcf(c_17883,plain,
    ( c1_1(a2110)
    | ~ iPr_def_23
    | ~ c2_1(a2110)
    | ~ c3_1(a2110) ),
    inference(instantiation,[status(thm)],[c_17484]) ).

tcf(c_17884,plain,
    ( c1_1(a2140)
    | ~ iPr_def_23
    | ~ c2_1(a2140)
    | ~ c3_1(a2140) ),
    inference(instantiation,[status(thm)],[c_17484]) ).

tcf(c_17886,plain,
    ( c1_1(a2069)
    | ~ iPr_def_23
    | ~ c2_1(a2069)
    | ~ c3_1(a2069) ),
    inference(instantiation,[status(thm)],[c_17484]) ).

tcf(c_17889,plain,
    ( c1_1(a2070)
    | c2_1(a2070)
    | ~ iPr_def_35
    | ~ c3_1(a2070) ),
    inference(instantiation,[status(thm)],[c_17497]) ).

tcf(c_17931,plain,
    ( c0_1(a2076)
    | ~ iPr_def_39
    | ~ c1_1(a2076)
    | ~ c2_1(a2076) ),
    inference(instantiation,[status(thm)],[c_17461]) ).

tcf(c_17933,plain,
    ( c0_1(a2082)
    | ~ iPr_def_39
    | ~ c1_1(a2082)
    | ~ c2_1(a2082) ),
    inference(instantiation,[status(thm)],[c_17461]) ).

tcf(c_17943,plain,
    ( c0_1(a2077)
    | ~ iPr_def_39
    | ~ c1_1(a2077)
    | ~ c2_1(a2077) ),
    inference(instantiation,[status(thm)],[c_17461]) ).

tcf(c_17946,plain,
    ( hskp0
    | c0_1(a2077)
    | ~ c1_1(a2077)
    | ~ c3_1(a2077) ),
    inference(instantiation,[status(thm)],[c_17495]) ).

tcf(c_17953,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2074)
    | ~ c0_1(a2074)
    | ~ c3_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17472]) ).

tcf(c_17960,plain,
    ( ~ iPr_def_12
    | ~ c1_1(a2077)
    | ~ c0_1(a2077)
    | ~ c3_1(a2077) ),
    inference(instantiation,[status(thm)],[c_17472]) ).

tcf(c_17982,plain,
    ( c1_1(a2096)
    | c0_1(a2096)
    | c3_1(a2096)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17508]) ).

tcf(c_18002,plain,
    ( c0_1(a2140)
    | ~ iPr_def_39
    | ~ c1_1(a2140)
    | ~ c2_1(a2140) ),
    inference(instantiation,[status(thm)],[c_17461]) ).

tcf(c_18061,plain,
    ( c2_1(a2074)
    | c0_1(a2074)
    | ~ iPr_def_31
    | ~ c1_1(a2074) ),
    inference(instantiation,[status(thm)],[c_17453]) ).

tcf(c_18062,plain,
    ( c2_1(a2076)
    | c0_1(a2076)
    | ~ iPr_def_31
    | ~ c1_1(a2076) ),
    inference(instantiation,[status(thm)],[c_17453]) ).

tcf(c_18065,plain,
    ( c2_1(a2095)
    | c0_1(a2095)
    | ~ iPr_def_31
    | ~ c1_1(a2095) ),
    inference(instantiation,[status(thm)],[c_17453]) ).

tcf(c_18071,plain,
    ( c0_1(a2076)
    | ~ iPr_def_15
    | ~ c1_1(a2076)
    | ~ c3_1(a2076) ),
    inference(instantiation,[status(thm)],[c_17474]) ).

tcf(c_18092,plain,
    ( ~ iPr_def_32
    | ~ c1_1(a2079)
    | ~ c2_1(a2079)
    | ~ c0_1(a2079) ),
    inference(instantiation,[status(thm)],[c_17470]) ).

tcf(c_18096,plain,
    ( ~ iPr_def_32
    | ~ c1_1(a2160)
    | ~ c2_1(a2160)
    | ~ c0_1(a2160) ),
    inference(instantiation,[status(thm)],[c_17470]) ).

tcf(c_18098,plain,
    ( ~ iPr_def_32
    | ~ c1_1(a2077)
    | ~ c2_1(a2077)
    | ~ c0_1(a2077) ),
    inference(instantiation,[status(thm)],[c_17470]) ).

tcf(c_18102,plain,
    ( c2_1(a2116)
    | c0_1(a2116)
    | ~ iPr_def_31
    | ~ c1_1(a2116) ),
    inference(instantiation,[status(thm)],[c_17453]) ).

tcf(c_18105,plain,
    ( c0_1(a2116)
    | c3_1(a2116)
    | ~ iPr_def_27
    | ~ c1_1(a2116) ),
    inference(instantiation,[status(thm)],[c_17378]) ).

tcf(c_18106,plain,
    ( hskp22
    | c2_1(a2116)
    | ~ c1_1(a2116)
    | ~ c0_1(a2116) ),
    inference(instantiation,[status(thm)],[c_17502]) ).

tcf(c_18107,plain,
    ( hskp0
    | c0_1(a2116)
    | ~ c1_1(a2116)
    | ~ c3_1(a2116) ),
    inference(instantiation,[status(thm)],[c_17495]) ).

tcf(c_18108,plain,
    ( c2_1(a2116)
    | c3_1(a2116)
    | ~ iPr_def_22
    | ~ c1_1(a2116) ),
    inference(instantiation,[status(thm)],[c_17450]) ).

tcf(c_18110,plain,
    ( c1_1(a2072)
    | c3_1(a2072)
    | ~ iPr_def_26
    | ~ c2_1(a2072) ),
    inference(instantiation,[status(thm)],[c_17467]) ).

tcf(c_18112,plain,
    ( c1_1(a2087)
    | c3_1(a2087)
    | ~ iPr_def_26
    | ~ c2_1(a2087) ),
    inference(instantiation,[status(thm)],[c_17467]) ).

tcf(c_18162,plain,
    ( c1_1(a2084)
    | ~ iPr_def_23
    | ~ c2_1(a2084)
    | ~ c3_1(a2084) ),
    inference(instantiation,[status(thm)],[c_17484]) ).

tcf(c_18197,plain,
    ( c1_1(a2072)
    | c0_1(a2072)
    | c3_1(a2072)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_17508]) ).

tcf(c_18202,plain,
    ( c3_1(a2079)
    | ~ iPr_def_38
    | ~ c2_1(a2079)
    | ~ c0_1(a2079) ),
    inference(instantiation,[status(thm)],[c_17438]) ).

tcf(c_18210,plain,
    ( c0_1(a2096)
    | ~ iPr_def_18
    | ~ c2_1(a2096)
    | ~ c3_1(a2096) ),
    inference(instantiation,[status(thm)],[c_17478]) ).

tcf(c_18255,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18210,c_18202,c_18197,c_18162,c_18112,c_18110,c_18102,c_18105,c_18106,c_18107,c_18108,c_18098,c_18096,c_18092,c_18071,c_18065,c_18062,c_18061,c_18002,c_17982,c_17960,c_17953,c_17943,c_17946,c_17933,c_17931,c_17889,c_17886,c_17884,c_17883,c_17875,c_17841,c_17834,c_17822,c_17823,c_17820,c_17813,c_17811,c_17801,c_17786,c_17785,c_17777,c_17767,c_17763,c_17760,c_17757,c_17755,c_17751,c_17750,c_17744,c_17739,c_17724,c_17720,c_17719,c_17718,c_17716,c_17691,c_17685,c_17683,c_17679,c_17677,c_17676,c_17675,c_17671,c_17669,c_17664,c_17661,c_17655,c_17654,c_17652,c_17632,c_17631,c_17630,c_17622,c_17620,c_17619,c_17618,c_17617,c_17615,c_17614,c_17509,c_17498,c_17493,c_17481,c_17479,c_17477,c_17471,c_17469,c_17466,c_17463,c_17454,c_17451,c_17442,c_17439,c_17430,c_17427,c_17421,c_17418,c_17406,c_17403,c_17400,c_17397,c_17394,c_17388,c_17379,c_17373,c_17370,c_17367,c_17361,c_17357,c_17349,c_17345,c_17341,c_17333,c_17329,c_8812,c_8778,c_8584,c_8561,c_8538,c_8281,c_8264,c_8247,c_5935,c_5912,c_5889,c_5257,c_5234,c_5211,c_4240,c_4230,c_4220,c_3940,c_3923,c_3906,c_3728,c_3679,c_3557,c_3547,c_3537,c_2828,c_2818,c_2808,c_2768,c_2758,c_2748,c_2393,c_2383,c_2373,c_2042,c_2032,c_2022,c_438,c_415,c_408,c_405,c_348,c_339,c_274,c_271,c_270,c_268,c_249,c_51,c_52,c_56,c_62,c_63,c_64,c_68,c_72,c_80,c_84,c_88,c_91,c_92,c_95,c_96,c_99,c_100,c_103,c_104,c_111,c_112,c_120,c_140,c_50,c_54,c_55,c_66,c_67,c_70,c_71,c_78,c_79,c_82,c_83,c_86,c_87,c_90,c_94,c_98,c_102,c_110,c_118,c_119,c_122,c_138,c_139,c_154,c_155,c_156,c_158,c_159,c_160,c_166,c_167,c_168]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN485+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/10.37  % Computer : n013.cluster.edu
% 0.10/10.37  % Model    : x86_64 x86_64
% 0.10/10.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37  % Memory   : 8046.5625MB
% 0.10/10.37  % OS       : Linux 6.8.0-71-generic
% 0.10/10.37  % CPULimit : 300
% 0.10/10.37  % WCLimit  : 300
% 0.10/10.37  % DateTime : Fri Sep 25 01:29:03 UTC 2026
% 0.10/10.38  % CPUTime  : 
% 0.10/10.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/10.41  Running first-order theorem proving
% 0.13/10.41  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
% 0.13/10.43  
% 0.13/10.43  % ======== iProver multi-core TPTP/SMT =========
% 0.13/10.43  
% 0.13/10.43  % Detected problem language: tptp
% 0.13/10.44  % Proving...
% 1.66/11.29  % SZS status Started for theBenchmark.p
% 1.66/11.29  % SZS status Theorem for theBenchmark.p
% 1.66/11.29  
% 1.66/11.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.66/11.29  
% 1.66/11.29  % ------  iProver source info
% 1.66/11.29  
% 1.66/11.29  % git: date: 2026-07-19 20:42:38 +0200
% 1.66/11.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.66/11.29  % git: non_committed_changes: false
% 1.66/11.29  
% 1.66/11.29  % ------ Parsing...
% 1.66/11.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.66/11.29  % 
% 1.66/11.29  
% 1.66/11.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.66/11.29  
% 1.66/11.29  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.66/11.29   gs_s  sp: 117 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.66/11.29  % ------ Proving...
% 1.66/11.29  % ------ Problem Properties 
% 1.66/11.29  
% 1.66/11.29  % 
% 1.66/11.29  % clauses                               196
% 1.66/11.29  % conjectures                           193
% 1.66/11.29  % EPR                                   196
% 1.66/11.29  % Horn                                  102
% 1.66/11.29  % unary                                 0
% 1.66/11.29  % binary                                88
% 1.66/11.29  % lits                                  533
% 1.66/11.29  % lits eq                               0
% 1.66/11.29  % fd_pure                               0
% 1.66/11.29  % fd_pseudo                             0
% 1.66/11.29  % fd_cond                               0
% 1.66/11.29  % fd_pseudo_cond                        0
% 1.66/11.29  % AC symbols                            0
% 1.66/11.29  
% 1.66/11.29  % ------ Schedule EPR non Horn non eq is on
% 1.66/11.29  
% 1.66/11.29  % ------ no equalities: superposition off 
% 1.66/11.29  
% 1.66/11.29  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.66/11.29  
% 1.66/11.29  
% 1.66/11.29  % ------ 
% 1.66/11.29  % Current options:
% 1.66/11.29  % ------ 
% 1.66/11.29  
% 1.66/11.29  
% 1.66/11.29  % 
% 1.66/11.29  
% 1.66/11.29  % ------ Proving...
% 1.66/11.29  % 
% 1.66/11.29  
% 1.66/11.29  % SZS status Theorem for theBenchmark.p
% 1.66/11.29  
% 1.66/11.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.66/11.29  
% 1.66/11.29  
%------------------------------------------------------------------------------