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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN487+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n017.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 03:40:30 PM UTC 2026

% Result   : Theorem 4.42s 6.50s
% Output   : CNFRefutation 4.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f225ERROR: Could not build tree for root c_19841ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp22
        | hskp14
        | hskp3 )
      & ( hskp13
        | hskp22
        | hskp24 )
      & ( hskp19
        | hskp10
        | hskp8 )
      & ( hskp18
        | hskp22
        | hskp31 )
      & ( hskp14
        | hskp7
        | hskp31 )
      & ( hskp0
        | hskp12
        | hskp6 )
      & ( hskp30
        | hskp11
        | hskp6 )
      & ( hskp20
        | hskp14
        | hskp1 )
      & ( hskp16
        | hskp26
        | hskp28 )
      & ( hskp13
        | hskp0
        | hskp28 )
      & ( hskp3
        | hskp27
        | hskp29 )
      & ( hskp9
        | hskp27
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c1_1(X96) ) ) )
      & ( hskp23
        | hskp25
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | ~ c1_1(X95) ) ) )
      & ( hskp5
        | hskp8
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | ~ c1_1(X94) ) ) )
      & ( hskp18
        | hskp13
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( hskp18
        | hskp2
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp19
        | hskp7
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | c3_1(X91) ) ) )
      & ( hskp16
        | hskp30
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) ) )
      & ( hskp4
        | hskp2
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp16
        | hskp21
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp3
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp21
        | hskp30
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp19
        | hskp12
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp26
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp25
        | hskp24
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp25
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp14
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp4
        | hskp3
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp21
        | hskp24
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp4
        | hskp1
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp4
        | hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c1_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp12
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp0
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp23
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c0_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c3_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp12
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c3_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp1
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp23
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c3_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp0
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp22
        | hskp21
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) ) )
      & ( hskp20
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp19
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | hskp12
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp8
        | hskp29
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp19
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c2_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp30
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp8
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp17
        | hskp14
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp0
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | hskp29
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp18
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp17
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c3_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp17
        | hskp14
        | ! [X31] :
            ( ndr1_0
           => ( ~ c2_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp16
        | hskp15
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp14
        | hskp1
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp11
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c3_1(X28)
              | c2_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp13
        | hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp8
        | hskp28
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp12
        | hskp11
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp10
        | hskp6
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp9
        | hskp28
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp5
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c3_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp7
        | hskp8
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp7
        | hskp6
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp5
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | c3_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp1
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp4
        | hskp0
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp28
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c3_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2387)
          & c2_1(a2387)
          & c0_1(a2387)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a2315)
          & c2_1(a2315)
          & c1_1(a2315)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a2309)
          & c1_1(a2309)
          & c0_1(a2309)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2278)
          & c1_1(a2278)
          & c0_1(a2278)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a2367)
          & c2_1(a2367)
          & c1_1(a2367)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c1_1(a2345)
          & ~ c0_1(a2345)
          & c3_1(a2345)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2342)
          & c3_1(a2342)
          & c0_1(a2342)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a2337)
          & c3_1(a2337)
          & c0_1(a2337)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a2327)
          & ~ c0_1(a2327)
          & c3_1(a2327)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a2325)
          & ~ c0_1(a2325)
          & c2_1(a2325)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2324)
          & ~ c0_1(a2324)
          & c1_1(a2324)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a2323)
          & c3_1(a2323)
          & c2_1(a2323)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2316)
          & ~ c2_1(a2316)
          & c1_1(a2316)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a2308)
          & ~ c1_1(a2308)
          & c3_1(a2308)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a2306)
          & ~ c2_1(a2306)
          & ~ c1_1(a2306)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2304)
          & ~ c2_1(a2304)
          & ~ c0_1(a2304)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a2303)
          & c2_1(a2303)
          & c1_1(a2303)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a2302)
          & c3_1(a2302)
          & c2_1(a2302)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a2299)
          & ~ c1_1(a2299)
          & c2_1(a2299)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2295)
          & ~ c1_1(a2295)
          & c0_1(a2295)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a2294)
          & ~ c1_1(a2294)
          & c0_1(a2294)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2293)
          & c2_1(a2293)
          & c0_1(a2293)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a2291)
          & ~ c1_1(a2291)
          & ~ c0_1(a2291)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a2287)
          & c2_1(a2287)
          & c0_1(a2287)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a2286)
          & ~ c0_1(a2286)
          & c1_1(a2286)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2285)
          & c1_1(a2285)
          & c0_1(a2285)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a2284)
          & ~ c1_1(a2284)
          & ~ c0_1(a2284)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a2282)
          & ~ c0_1(a2282)
          & c2_1(a2282)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a2280)
          & c3_1(a2280)
          & c1_1(a2280)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2279)
          & ~ c2_1(a2279)
          & c0_1(a2279)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2277)
          & c1_1(a2277)
          & c0_1(a2277)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a2276)
          & c3_1(a2276)
          & c1_1(a2276)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp22
          | hskp14
          | hskp3 )
        & ( hskp13
          | hskp22
          | hskp24 )
        & ( hskp19
          | hskp10
          | hskp8 )
        & ( hskp18
          | hskp22
          | hskp31 )
        & ( hskp14
          | hskp7
          | hskp31 )
        & ( hskp0
          | hskp12
          | hskp6 )
        & ( hskp30
          | hskp11
          | hskp6 )
        & ( hskp20
          | hskp14
          | hskp1 )
        & ( hskp16
          | hskp26
          | hskp28 )
        & ( hskp13
          | hskp0
          | hskp28 )
        & ( hskp3
          | hskp27
          | hskp29 )
        & ( hskp9
          | hskp27
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( hskp23
          | hskp25
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) ) )
        & ( hskp5
          | hskp8
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( hskp18
          | hskp13
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( hskp18
          | hskp2
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp19
          | hskp7
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | c3_1(X91) ) ) )
        & ( hskp16
          | hskp30
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) ) )
        & ( hskp4
          | hskp2
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp16
          | hskp21
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp3
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp21
          | hskp30
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp19
          | hskp12
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp26
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp25
          | hskp24
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp25
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp14
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp4
          | hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp21
          | hskp24
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp4
          | hskp1
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp4
          | hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp12
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp0
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp23
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c0_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp12
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp1
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp23
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c3_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp0
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp22
          | hskp21
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp19
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp12
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp8
          | hskp29
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp19
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp30
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp17
          | hskp14
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp0
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | hskp29
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp18
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp17
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp17
          | hskp14
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp16
          | hskp15
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp14
          | hskp1
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp11
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp13
          | hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp8
          | hskp28
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp12
          | hskp11
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp10
          | hskp6
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp9
          | hskp28
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp5
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp7
          | hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp7
          | hskp6
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp5
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp1
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp4
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp28
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2387)
            & c2_1(a2387)
            & c0_1(a2387)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2315)
            & c2_1(a2315)
            & c1_1(a2315)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a2309)
            & c1_1(a2309)
            & c0_1(a2309)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2278)
            & c1_1(a2278)
            & c0_1(a2278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a2367)
            & c2_1(a2367)
            & c1_1(a2367)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a2345)
            & ~ c0_1(a2345)
            & c3_1(a2345)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2342)
            & c3_1(a2342)
            & c0_1(a2342)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2337)
            & c3_1(a2337)
            & c0_1(a2337)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2327)
            & ~ c0_1(a2327)
            & c3_1(a2327)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a2325)
            & ~ c0_1(a2325)
            & c2_1(a2325)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2324)
            & ~ c0_1(a2324)
            & c1_1(a2324)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2323)
            & c3_1(a2323)
            & c2_1(a2323)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2316)
            & ~ c2_1(a2316)
            & c1_1(a2316)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2308)
            & ~ c1_1(a2308)
            & c3_1(a2308)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a2306)
            & ~ c2_1(a2306)
            & ~ c1_1(a2306)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2304)
            & ~ c2_1(a2304)
            & ~ c0_1(a2304)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2303)
            & c2_1(a2303)
            & c1_1(a2303)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a2302)
            & c3_1(a2302)
            & c2_1(a2302)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2299)
            & ~ c1_1(a2299)
            & c2_1(a2299)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2295)
            & ~ c1_1(a2295)
            & c0_1(a2295)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2294)
            & ~ c1_1(a2294)
            & c0_1(a2294)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2293)
            & c2_1(a2293)
            & c0_1(a2293)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a2291)
            & ~ c1_1(a2291)
            & ~ c0_1(a2291)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a2287)
            & c2_1(a2287)
            & c0_1(a2287)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2286)
            & ~ c0_1(a2286)
            & c1_1(a2286)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2285)
            & c1_1(a2285)
            & c0_1(a2285)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2284)
            & ~ c1_1(a2284)
            & ~ c0_1(a2284)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2282)
            & ~ c0_1(a2282)
            & c2_1(a2282)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a2280)
            & c3_1(a2280)
            & c1_1(a2280)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2279)
            & ~ c2_1(a2279)
            & c0_1(a2279)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2277)
            & c1_1(a2277)
            & c0_1(a2277)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2276)
            & c3_1(a2276)
            & c1_1(a2276)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c2_1(X96)
            | ~ c1_1(X96) ) ) )
    & ( hskp23
      | hskp25
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | ~ c1_1(X95) ) ) )
    & ( hskp5
      | hskp8
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | ~ c1_1(X94) ) ) )
    & ( hskp18
      | hskp13
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | ~ c1_1(X93)
            | ~ c0_1(X93) ) ) )
    & ( hskp18
      | hskp2
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | ~ c1_1(X92)
            | ~ c0_1(X92) ) ) )
    & ( hskp19
      | hskp7
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c1_1(X91)
            | c3_1(X91) ) ) )
    & ( hskp16
      | hskp30
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c0_1(X90)
            | c3_1(X90) ) ) )
    & ( hskp4
      | hskp2
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c0_1(X89)
            | c3_1(X89) ) ) )
    & ( hskp16
      | hskp21
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c0_1(X88)
            | c3_1(X88) ) ) )
    & ( hskp3
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) ) )
    & ( hskp21
      | hskp30
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c1_1(X85)
            | c2_1(X85) ) ) )
    & ( hskp19
      | hskp12
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c0_1(X84)
            | c2_1(X84) ) ) )
    & ( hskp26
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | ~ c0_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | c3_1(X82)
            | c2_1(X82) ) ) )
    & ( hskp25
      | hskp24
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c3_1(X81)
            | c2_1(X81) ) ) )
    & ( hskp25
      | ! [X80] :
          ( ndr1_0
         => ( ~ c2_1(X80)
            | ~ c0_1(X80)
            | c3_1(X80) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c2_1(X79) ) ) )
    & ( hskp14
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | ~ c0_1(X78)
            | c2_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c3_1(X77)
            | c2_1(X77) ) ) )
    & ( hskp4
      | hskp3
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp21
      | hskp24
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp4
      | hskp1
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp4
      | hskp19
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c1_1(X73) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c1_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | c2_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c0_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp12
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c0_1(X69)
            | c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp0
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c1_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c2_1(X66)
            | c3_1(X66)
            | c1_1(X66) ) ) )
    & ( hskp23
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | ~ c0_1(X65)
            | c3_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | c3_1(X64)
            | c1_1(X64) ) ) )
    & ( hskp12
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c3_1(X63)
            | c1_1(X63) ) ) )
    & ( hskp1
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | c1_1(X61) ) ) )
    & ( hskp23
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c3_1(X60)
            | c2_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c3_1(X59)
            | c1_1(X59) ) ) )
    & ( hskp0
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c0_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) ) )
    & ( hskp22
      | hskp21
      | ! [X56] :
          ( ndr1_0
         => ( c3_1(X56)
            | c2_1(X56)
            | c1_1(X56) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c0_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp20
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp19
      | hskp30
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp13
      | hskp12
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp8
      | hskp29
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp19
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c2_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp30
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp8
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c1_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp17
      | hskp14
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp0
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp8
      | hskp29
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c1_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp18
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | c0_1(X37) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c1_1(X36)
            | c3_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c0_1(X35)
            | c3_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp17
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c3_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | ~ c1_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp17
      | hskp14
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | c3_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp16
      | hskp15
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp14
      | hskp1
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | c3_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp11
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c2_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | c3_1(X27)
            | c0_1(X27) ) ) )
    & ( hskp13
      | hskp4
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp8
      | hskp28
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp12
      | hskp11
      | ! [X24] :
          ( ndr1_0
         => ( c3_1(X24)
            | c2_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp10
      | hskp6
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | c2_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp9
      | hskp28
      | ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | c2_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp5
      | ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c3_1(X21)
            | c1_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( c3_1(X20)
            | c2_1(X20)
            | c0_1(X20) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c1_1(X19)
            | c0_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c2_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp7
      | hskp8
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp7
      | hskp6
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp5
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | c1_1(X13)
            | c0_1(X13) ) ) )
    & ( hskp1
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c1_1(X10)
            | c2_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | c1_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp4
      | hskp0
      | ! [X7] :
          ( ndr1_0
         => ( c2_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp3
      | hskp2
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp28
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | c2_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c2_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp1
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | c3_1(X3)
            | c1_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c2_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | ~ c1_1(X96) ) )
    & ( hskp23
      | hskp25
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95) ) )
    & ( hskp5
      | hskp8
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94) ) )
    & ( hskp18
      | hskp13
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | ~ c1_1(X93)
          | ~ c0_1(X93) ) )
    & ( hskp18
      | hskp2
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92) ) )
    & ( hskp19
      | hskp7
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | c3_1(X91) ) )
    & ( hskp16
      | hskp30
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90) ) )
    & ( hskp4
      | hskp2
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89) ) )
    & ( hskp16
      | hskp21
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88) ) )
    & ( hskp3
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp21
      | hskp30
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | c2_1(X85) ) )
    & ( hskp19
      | hskp12
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84) ) )
    & ( hskp26
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp25
      | hskp24
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) ) )
    & ( hskp25
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c2_1(X79) ) )
    & ( hskp14
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | c2_1(X77) ) )
    & ( hskp4
      | hskp3
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp21
      | hskp24
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75) ) )
    & ( hskp4
      | hskp1
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp4
      | hskp19
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) ) )
    & ( ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) ) )
    & ( hskp12
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) ) )
    & ( hskp0
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | c3_1(X66)
          | c1_1(X66) ) )
    & ( hskp23
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | c3_1(X64)
          | c1_1(X64) ) )
    & ( hskp12
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63) ) )
    & ( hskp1
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61) ) )
    & ( hskp23
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c3_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c3_1(X59)
          | c1_1(X59) ) )
    & ( hskp0
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c0_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( hskp22
      | hskp21
      | ! [X56] :
          ( ~ ndr1_0
          | c3_1(X56)
          | c2_1(X56)
          | c1_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | c3_1(X53)
          | c2_1(X53)
          | c1_1(X53) ) )
    & ( hskp20
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp19
      | hskp30
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp13
      | hskp12
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp8
      | hskp29
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp19
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp30
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp8
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp17
      | hskp14
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp0
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | hskp29
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39) ) )
    & ( hskp18
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | c3_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34) ) )
    & ( hskp17
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c3_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | ~ c1_1(X32)
          | c0_1(X32) ) )
    & ( hskp17
      | hskp14
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c2_1(X31)
          | c3_1(X31)
          | c0_1(X31) ) )
    & ( hskp16
      | hskp15
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp14
      | hskp1
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) ) )
    & ( hskp11
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c0_1(X28)
          | c3_1(X28)
          | c2_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c0_1(X27) ) )
    & ( hskp13
      | hskp4
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp8
      | hskp28
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp12
      | hskp11
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp10
      | hskp6
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( hskp9
      | hskp28
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp5
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c0_1(X21)
          | c3_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp7
      | hskp8
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp7
      | hskp6
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp5
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp1
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c2_1(X9)
          | c1_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp4
      | hskp0
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp3
      | hskp2
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp28
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | c3_1(X3)
          | c1_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | ~ c1_1(X96) ) )
    & ( hskp23
      | hskp25
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95) ) )
    & ( hskp5
      | hskp8
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94) ) )
    & ( hskp18
      | hskp13
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | ~ c1_1(X93)
          | ~ c0_1(X93) ) )
    & ( hskp18
      | hskp2
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | ~ c1_1(X92)
          | ~ c0_1(X92) ) )
    & ( hskp19
      | hskp7
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c1_1(X91)
          | c3_1(X91) ) )
    & ( hskp16
      | hskp30
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | c3_1(X90) ) )
    & ( hskp4
      | hskp2
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89) ) )
    & ( hskp16
      | hskp21
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | c3_1(X88) ) )
    & ( hskp3
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c0_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) ) )
    & ( hskp21
      | hskp30
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | c2_1(X85) ) )
    & ( hskp19
      | hskp12
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c0_1(X84)
          | c2_1(X84) ) )
    & ( hskp26
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | ~ c1_1(X83)
          | ~ c0_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | c3_1(X82)
          | c2_1(X82) ) )
    & ( hskp25
      | hskp24
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) ) )
    & ( hskp25
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | c3_1(X80) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c2_1(X79) ) )
    & ( hskp14
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c1_1(X78)
          | ~ c0_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c3_1(X77)
          | c2_1(X77) ) )
    & ( hskp4
      | hskp3
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp21
      | hskp24
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75) ) )
    & ( hskp4
      | hskp1
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp4
      | hskp19
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c1_1(X73) ) )
    & ( ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c1_1(X71)
          | ~ c0_1(X71)
          | c2_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c0_1(X70)
          | c1_1(X70) ) )
    & ( hskp12
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68) ) )
    & ( hskp0
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c2_1(X66)
          | c3_1(X66)
          | c1_1(X66) ) )
    & ( hskp23
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | c3_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c2_1(X64)
          | c3_1(X64)
          | c1_1(X64) ) )
    & ( hskp12
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c0_1(X63)
          | c3_1(X63)
          | c1_1(X63) ) )
    & ( hskp1
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c2_1(X62)
          | ~ c1_1(X62)
          | ~ c0_1(X62) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61) ) )
    & ( hskp23
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c3_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c3_1(X59)
          | c1_1(X59) ) )
    & ( hskp0
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c0_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( hskp22
      | hskp21
      | ! [X56] :
          ( ~ ndr1_0
          | c3_1(X56)
          | c2_1(X56)
          | c1_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | c3_1(X53)
          | c2_1(X53)
          | c1_1(X53) ) )
    & ( hskp20
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp19
      | hskp30
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp13
      | hskp12
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp8
      | hskp29
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49) ) )
    & ( hskp19
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp30
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp8
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c0_1(X44)
          | c3_1(X44)
          | c1_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp17
      | hskp14
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp0
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | hskp29
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c1_1(X39)
          | c0_1(X39) ) )
    & ( hskp18
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | c3_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | c3_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | c0_1(X34) ) )
    & ( hskp17
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c3_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | ~ c1_1(X32)
          | c0_1(X32) ) )
    & ( hskp17
      | hskp14
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c2_1(X31)
          | c3_1(X31)
          | c0_1(X31) ) )
    & ( hskp16
      | hskp15
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp14
      | hskp1
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c1_1(X29)
          | c3_1(X29)
          | c0_1(X29) ) )
    & ( hskp11
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c0_1(X28)
          | c3_1(X28)
          | c2_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | c3_1(X27)
          | c0_1(X27) ) )
    & ( hskp13
      | hskp4
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp8
      | hskp28
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( hskp12
      | hskp11
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( hskp10
      | hskp6
      | ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c0_1(X23) ) )
    & ( hskp9
      | hskp28
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp5
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c0_1(X21)
          | c3_1(X21)
          | c1_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | c2_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c1_1(X19)
          | c0_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp7
      | hskp8
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp7
      | hskp6
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp5
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | c1_1(X13)
          | c0_1(X13) ) )
    & ( hskp1
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c1_1(X10)
          | c2_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c3_1(X9)
          | ~ c2_1(X9)
          | c1_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp4
      | hskp0
      | ! [X7] :
          ( ~ ndr1_0
          | c2_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp3
      | hskp2
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp28
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | ~ c1_1(X5)
          | c2_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c2_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | c3_1(X3)
          | c1_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c2_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f10,plain,
    ( hskp14
    | hskp7
    | hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp0
    | hskp12
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp30
    | hskp11
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp20
    | hskp14
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp16
    | hskp26
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X95] :
      ( hskp23
      | hskp25
      | ~ ndr1_0
      | ~ c3_1(X95)
      | ~ c2_1(X95)
      | ~ c1_1(X95) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X94] :
      ( hskp5
      | hskp8
      | ~ ndr1_0
      | ~ c3_1(X94)
      | ~ c2_1(X94)
      | ~ c1_1(X94) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X90] :
      ( hskp16
      | hskp30
      | ~ ndr1_0
      | ~ c2_1(X90)
      | ~ c0_1(X90)
      | c3_1(X90) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X89] :
      ( hskp4
      | hskp2
      | ~ ndr1_0
      | ~ c2_1(X89)
      | ~ c0_1(X89)
      | c3_1(X89) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X88] :
      ( hskp16
      | hskp21
      | ~ ndr1_0
      | ~ c1_1(X88)
      | ~ c0_1(X88)
      | c3_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X84] :
      ( hskp19
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X84)
      | ~ c0_1(X84)
      | c2_1(X84) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X74] :
      ( hskp4
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X74)
      | ~ c2_1(X74)
      | c1_1(X74) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f41,plain,
    ! [X63] :
      ( hskp12
      | ~ ndr1_0
      | ~ c0_1(X63)
      | c3_1(X63)
      | c1_1(X63) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X52] :
      ( hskp20
      | ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c2_1(X52)
      | c0_1(X52) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X50] :
      ( hskp13
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c2_1(X50)
      | c0_1(X50) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X42] :
      ( hskp17
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c0_1(X42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ! [X30] :
      ( hskp16
      | hskp15
      | ~ ndr1_0
      | ~ c1_1(X30)
      | c3_1(X30)
      | c0_1(X30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X29] :
      ( hskp14
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X29)
      | c3_1(X29)
      | c0_1(X29) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ! [X24] :
      ( hskp12
      | hskp11
      | ~ ndr1_0
      | c3_1(X24)
      | c2_1(X24)
      | c0_1(X24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ! [X23] :
      ( hskp10
      | hskp6
      | ~ ndr1_0
      | c3_1(X23)
      | c2_1(X23)
      | c0_1(X23) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ! [X22] :
      ( hskp9
      | hskp28
      | ~ ndr1_0
      | c3_1(X22)
      | c2_1(X22)
      | c0_1(X22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ! [X16] :
      ( hskp7
      | hskp8
      | ~ ndr1_0
      | ~ c3_1(X16)
      | c1_1(X16)
      | c0_1(X16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ! [X15] :
      ( hskp7
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X15)
      | c1_1(X15)
      | c0_1(X15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f77,plain,
    ! [X6] :
      ( hskp3
      | hskp2
      | ~ ndr1_0
      | c2_1(X6)
      | c1_1(X6)
      | c0_1(X6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( c3_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c2_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( c3_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( c1_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c0_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ~ c1_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c0_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c3_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ~ c2_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( c3_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c0_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f113,plain,
    ( ~ c2_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c0_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c3_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f121,plain,
    ( ~ c3_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c0_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c1_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    ( ~ c1_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( c3_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c2_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f129,plain,
    ( ~ c3_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c2_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c1_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f137,plain,
    ( ~ c3_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c1_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f141,plain,
    ( ~ c3_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c2_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c0_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f145,plain,
    ( ~ c3_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( c2_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c1_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f149,plain,
    ( ~ c0_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( c3_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c2_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f153,plain,
    ( ~ c3_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c1_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c2_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ c3_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c1_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( c0_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ~ c2_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c1_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c0_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f165,plain,
    ( ~ c3_1(a2293)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c0_1(a2293)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f169,plain,
    ( ~ c2_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c1_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c0_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f173,plain,
    ( ~ c1_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( c2_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c0_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f177,plain,
    ( ~ c2_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c0_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c1_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f181,plain,
    ( ~ c3_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( c1_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c0_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ~ c3_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c0_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c2_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ~ c2_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( c3_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( c1_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f197,plain,
    ( ~ c3_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c2_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c0_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f201,plain,
    ( ~ c2_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( c1_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( c0_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f205,plain,
    ( ~ c0_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( c3_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( c1_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c1_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_51,negated_conjecture,
    ( c3_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2276) ),
    inference(cnf_transformation,[],[f205]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_55,negated_conjecture,
    ( c1_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2277) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_58,negated_conjecture,
    ( c0_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a2279) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2279) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_62,negated_conjecture,
    ( c1_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_63,negated_conjecture,
    ( c3_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a2280) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_66,negated_conjecture,
    ( c2_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a2282) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a2282) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_75,negated_conjecture,
    ( c1_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a2285) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_77,negated_conjecture,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_78,negated_conjecture,
    ( c1_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a2286) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a2286) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_82,negated_conjecture,
    ( c0_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_83,negated_conjecture,
    ( c2_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a2287) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_86,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a2291) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a2291) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a2291) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a2293)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a2293) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_94,negated_conjecture,
    ( c0_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a2294) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a2294) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_98,negated_conjecture,
    ( c0_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a2295) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a2295) ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_102,negated_conjecture,
    ( c2_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a2299) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a2299) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_105,negated_conjecture,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_106,negated_conjecture,
    ( c2_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_107,negated_conjecture,
    ( c3_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a2302) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_110,negated_conjecture,
    ( c1_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_111,negated_conjecture,
    ( c2_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a2303) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_114,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a2304) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2304) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2304) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_118,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2306) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a2306) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a2306) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_126,negated_conjecture,
    ( c1_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a2316) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a2316) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_130,negated_conjecture,
    ( c2_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_131,negated_conjecture,
    ( c3_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2323) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_134,negated_conjecture,
    ( c1_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a2324) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a2324) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_142,negated_conjecture,
    ( c3_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a2327) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a2327) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_151,negated_conjecture,
    ( c3_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2342) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_154,negated_conjecture,
    ( c3_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a2345) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a2345) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_163,negated_conjecture,
    ( c1_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_170,negated_conjecture,
    ( c1_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_171,negated_conjecture,
    ( c2_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_172,negated_conjecture,
    ( c3_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp2
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp9
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp6
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp15
      | c0_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp12
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp16
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp2
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp16
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp5
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_239,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp23
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_243,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp16 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_244,negated_conjecture,
    ( hskp20
    | hskp14
    | hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_245,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp6 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_246,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp0 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_247,negated_conjecture,
    ( hskp31
    | hskp14
    | hskp7 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_292,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_247,c_173,c_105,c_77]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_247,c_173,c_105,c_77,c_216]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp11
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_247,c_173,c_105,c_77,c_191]) ).

tcf(c_365,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp6
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_247,c_173,c_105,c_77,c_190]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp9
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_247,c_173,c_105,c_77,c_189]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp2
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_247,c_173,c_105,c_77,c_180]) ).

tcf(c_380,plain,
    ! [X0: $i] :
      ( hskp20
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_247,c_173,c_105,c_77,c_210]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_380]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp15
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_247,c_173,c_105,c_77,c_196]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp1
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_247,c_173,c_105,c_77,c_195]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_247,c_173,c_105,c_77,c_186]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_247,c_173,c_105,c_77,c_185]) ).

tcf(c_407,plain,
    ! [X0: $i] :
      ( hskp30
      | hskp16
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_247,c_173,c_105,c_77,c_234]) ).

tcf(c_408,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp16
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_407]) ).

tcf(c_410,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp2
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_247,c_173,c_105,c_77,c_233]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp2
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_413,plain,
    ! [X0: $i] :
      ( hskp21
      | hskp16
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_247,c_173,c_105,c_77,c_232]) ).

tcf(c_414,negated_conjecture,
    ! [X0: $i] :
      ( hskp21
      | hskp16
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_413]) ).

tcf(c_419,plain,
    ! [X0: $i] :
      ( hskp19
      | hskp12
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_247,c_173,c_105,c_77,c_229]) ).

tcf(c_420,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp12
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_419]) ).

tcf(c_428,plain,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_247,c_173,c_105,c_77,c_222]) ).

tcf(c_429,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp1
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_428]) ).

tcf(c_437,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_247,c_173,c_105,c_77,c_208]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_443,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_247,c_173,c_105,c_77,c_203]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp14
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_443]) ).

tcf(c_452,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp23
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_247,c_173,c_105,c_77,c_239]) ).

tcf(c_453,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp23
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_452]) ).

tcf(c_455,plain,
    ! [X0: $i] :
      ( hskp8
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_247,c_173,c_105,c_77,c_238]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp5
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_247,c_173,c_105,c_77,c_178]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_247,c_173,c_105,c_77,c_177]) ).

tcf(c_471,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_247,c_173,c_105,c_77,c_214]) ).

tcf(c_472,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_471]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_247,c_173,c_105,c_77,c_194]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_247,c_173,c_105,c_77,c_179]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_247,c_173,c_105,c_77,c_225]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_247,c_173,c_105,c_77,c_217]) ).

tcf(c_484,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_483]) ).

tcf(c_493,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_247,c_173,c_105,c_77,c_184]) ).

tcf(c_494,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c0_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_493]) ).

tcf(c_495,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_247,c_173,c_105,c_77,c_183]) ).

tcf(c_496,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c0_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_495]) ).

tcf(c_501,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_247,c_173,c_105,c_77,c_218]) ).

tcf(c_502,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_501]) ).

tcf(c_503,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_247,c_173,c_105,c_77,c_215]) ).

tcf(c_504,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_503]) ).

tcf(c_507,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_247,c_173,c_105,c_77,c_202]) ).

tcf(c_508,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_507]) ).

tcf(c_510,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_247,c_173,c_105,c_77,c_231]) ).

tcf(c_511,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_510]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_247,c_173,c_105,c_77,c_200]) ).

tcf(c_513,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_512]) ).

tcf(c_514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_247,c_173,c_105,c_77,c_187]) ).

tcf(c_515,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c3_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_514]) ).

tcf(c_516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_211,c_292]) ).

tcf(c_517,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c3_1(X2)
      | c1_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_516]) ).

tcf(c_518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_247,c_173,c_105,c_77,c_182]) ).

tcf(c_519,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_518]) ).

tcf(c_520,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_247,c_173,c_105,c_77,c_199]) ).

tcf(c_521,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_520]) ).

tcf(c_522,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_247,c_173,c_105,c_77,c_220]) ).

tcf(c_523,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_522]) ).

tcf(c_1888,plain,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ c1_1(a2323)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_381,c_132]) ).

tcf(c_1889,plain,
    ( c0_1(a2276)
    | ~ c2_1(a2276)
    | ~ c3_1(a2276)
    | ~ c1_1(a2323) ),
    inference(instantiation,[status(thm)],[c_1888]) ).

tcf(c_1902,plain,
    ! [X0: $i] :
      ( c3_1(a2323)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_381,c_131]) ).

tcf(c_1903,plain,
    ( c0_1(a2276)
    | c3_1(a2323)
    | ~ c2_1(a2276)
    | ~ c3_1(a2276) ),
    inference(instantiation,[status(thm)],[c_1902]) ).

tcf(c_1916,plain,
    ! [X0: $i] :
      ( c2_1(a2323)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_381,c_130]) ).

tcf(c_1917,plain,
    ( c2_1(a2323)
    | c0_1(a2276)
    | ~ c2_1(a2276)
    | ~ c3_1(a2276) ),
    inference(instantiation,[status(thm)],[c_1916]) ).

tcf(c_1930,plain,
    ( hskp14
    | hskp1
    | ~ c1_1(a2323) ),
    inference(resolution,[status(thm)],[c_244,c_132]) ).

tcf(c_1940,plain,
    ( hskp14
    | hskp1
    | c3_1(a2323) ),
    inference(resolution,[status(thm)],[c_244,c_131]) ).

tcf(c_1950,plain,
    ( hskp14
    | hskp1
    | c2_1(a2323) ),
    inference(resolution,[status(thm)],[c_244,c_130]) ).

tcf(c_2389,plain,
    ( hskp28
    | hskp16
    | ~ c1_1(a2345) ),
    inference(resolution,[status(thm)],[c_243,c_156]) ).

tcf(c_2399,plain,
    ( hskp28
    | hskp16
    | ~ c0_1(a2345) ),
    inference(resolution,[status(thm)],[c_243,c_155]) ).

tcf(c_2409,plain,
    ( hskp28
    | hskp16
    | c3_1(a2345) ),
    inference(resolution,[status(thm)],[c_243,c_154]) ).

tcf(c_3496,plain,
    ( hskp30
    | hskp11
    | ~ c3_1(a2285) ),
    inference(resolution,[status(thm)],[c_245,c_76]) ).

tcf(c_3506,plain,
    ( hskp30
    | hskp11
    | c1_1(a2285) ),
    inference(resolution,[status(thm)],[c_245,c_75]) ).

tcf(c_3516,plain,
    ( hskp30
    | hskp11
    | c0_1(a2285) ),
    inference(resolution,[status(thm)],[c_245,c_74]) ).

tcf(c_3640,plain,
    ! [X0: $i] :
      ( hskp14
      | c0_1(X0)
      | ~ c3_1(a2306)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_444,c_120]) ).

tcf(c_3641,plain,
    ( hskp14
    | c0_1(a2276)
    | ~ c3_1(a2306)
    | ~ c3_1(a2276)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3640]) ).

tcf(c_3657,plain,
    ! [X0: $i] :
      ( hskp14
      | c0_1(X0)
      | ~ c2_1(a2306)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_444,c_119]) ).

tcf(c_3658,plain,
    ( hskp14
    | c0_1(a2276)
    | ~ c2_1(a2306)
    | ~ c3_1(a2276)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3657]) ).

tcf(c_3674,plain,
    ! [X0: $i] :
      ( hskp14
      | c0_1(X0)
      | ~ c1_1(a2306)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_444,c_118]) ).

tcf(c_3675,plain,
    ( hskp14
    | c0_1(a2276)
    | ~ c3_1(a2276)
    | ~ c1_1(a2306)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3674]) ).

tcf(c_3859,plain,
    ! [X0: $i] :
      ( hskp23
      | ~ c2_1(a2342)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_453,c_152]) ).

tcf(c_3860,plain,
    ( hskp23
    | ~ c2_1(a2342)
    | ~ c2_1(a2276)
    | ~ c3_1(a2276)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3859]) ).

tcf(c_3876,plain,
    ! [X0: $i] :
      ( hskp23
      | c3_1(a2342)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_453,c_151]) ).

tcf(c_3877,plain,
    ( hskp23
    | c3_1(a2342)
    | ~ c2_1(a2276)
    | ~ c3_1(a2276)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3876]) ).

tcf(c_3893,plain,
    ! [X0: $i] :
      ( hskp23
      | c0_1(a2342)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(resolution,[status(thm)],[c_453,c_150]) ).

tcf(c_3894,plain,
    ( hskp23
    | c0_1(a2342)
    | ~ c2_1(a2276)
    | ~ c3_1(a2276)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_3893]) ).

tcf(c_9470,plain,
    ( hskp12
    | hskp6
    | c3_1(a2276) ),
    inference(resolution,[status(thm)],[c_246,c_51]) ).

tcf(c_9480,plain,
    ( hskp12
    | hskp6
    | c1_1(a2276) ),
    inference(resolution,[status(thm)],[c_246,c_50]) ).

tcf(c_18529,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_523]) ).

tcf(c_18530,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_523]) ).

tcf(c_18531,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_523]) ).

tcf(c_18532,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_523]) ).

tcf(c_18533,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_521]) ).

tcf(c_18534,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_521]) ).

tcf(c_18535,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_521]) ).

tcf(c_18536,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_521]) ).

tcf(c_18537,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_519]) ).

tcf(c_18538,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_519]) ).

tcf(c_18539,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_519]) ).

tcf(c_18540,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_519]) ).

tcf(c_18541,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_517]) ).

tcf(c_18542,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_517]) ).

tcf(c_18543,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_517]) ).

tcf(c_18544,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_517]) ).

tcf(c_18545,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_515]) ).

tcf(c_18546,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_515]) ).

tcf(c_18547,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_515]) ).

tcf(c_18548,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_513]) ).

tcf(c_18550,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_511]) ).

tcf(c_18551,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_511]) ).

tcf(c_18552,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_508]) ).

tcf(c_18557,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_504]) ).

tcf(c_18558,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

tcf(c_18559,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_502]) ).

tcf(c_18560,negated_conjecture,
    ( iPr_def_30
    | iPr_def_10
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_18565,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_18566,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c1_1(X0)
      | ~ c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_494]) ).

tcf(c_18572,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_18573,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c3_1(X0)
      | ~ c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_481]) ).

tcf(c_18574,negated_conjecture,
    ( iPr_def_34
    | iPr_def_12
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_18576,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c1_1(X0)
      | c0_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_477]) ).

tcf(c_18577,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_18578,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c1_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_475]) ).

tcf(c_18580,negated_conjecture,
    ( iPr_def_34
    | iPr_def_29
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_472]) ).

tcf(c_18581,negated_conjecture,
    ( iPr_def_35
    | iPr_def_33
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_18582,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_18586,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_456]) ).

tcf(c_18588,negated_conjecture,
    ( iPr_def_37
    | hskp25
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_453]) ).

tcf(c_18593,negated_conjecture,
    ( iPr_def_26
    | hskp13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_18596,negated_conjecture,
    ( iPr_def_16
    | hskp4
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_429]) ).

tcf(c_18599,negated_conjecture,
    ( iPr_def_19
    | hskp19
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_420]) ).

tcf(c_18601,negated_conjecture,
    ( iPr_def_25
    | hskp21
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_414]) ).

tcf(c_18602,negated_conjecture,
    ( iPr_def_14
    | hskp4
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_18603,negated_conjecture,
    ( iPr_def_14
    | hskp30
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_408]) ).

tcf(c_18605,negated_conjecture,
    ( iPr_def_33
    | hskp7
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_18606,negated_conjecture,
    ( iPr_def_33
    | hskp8
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

tcf(c_18610,negated_conjecture,
    ( iPr_def_36
    | hskp14
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_18611,negated_conjecture,
    ( iPr_def_36
    | hskp16
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

tcf(c_18615,negated_conjecture,
    ( iPr_def_35
    | hskp3
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

tcf(c_18617,negated_conjecture,
    ( iPr_def_23
    | hskp28
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

tcf(c_18618,negated_conjecture,
    ( iPr_def_23
    | hskp10
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_365]) ).

tcf(c_18619,negated_conjecture,
    ( iPr_def_23
    | hskp12
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_18621,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_18532]) ).

tcf(c_18625,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_18536]) ).

tcf(c_18629,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_18540]) ).

tcf(c_18633,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_18544]) ).

tcf(c_18637,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_15 ),
    inference(demodulation,[status(thm)],[c_18547]) ).

tcf(c_18644,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_18551]) ).

tcf(c_18651,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18548]) ).

tcf(c_18653,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18558]) ).

tcf(c_18656,negated_conjecture,
    ( iPr_def_30
    | iPr_def_10
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18560]) ).

tcf(c_18664,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18529]) ).

tcf(c_18665,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18565]) ).

tcf(c_18667,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_17
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18538]) ).

tcf(c_18683,negated_conjecture,
    ( iPr_def_30
    | iPr_def_25
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_18572]) ).

tcf(c_18686,negated_conjecture,
    ( iPr_def_34
    | iPr_def_12
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_18574]) ).

tcf(c_18687,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18531]) ).

tcf(c_18692,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_18577]) ).

tcf(c_18698,negated_conjecture,
    ( iPr_def_34
    | iPr_def_29
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_18580]) ).

tcf(c_18701,negated_conjecture,
    ( iPr_def_35
    | iPr_def_33
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_18581]) ).

tcf(c_18704,negated_conjecture,
    ( iPr_def_35
    | iPr_def_30
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18582]) ).

tcf(c_18705,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_30
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_18559]) ).

tcf(c_18708,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_29
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18557]) ).

tcf(c_18713,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18543]) ).

tcf(c_18716,negated_conjecture,
    ( iPr_def_37
    | hskp25
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_18588]) ).

tcf(c_18719,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18586]) ).

tcf(c_18721,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_15
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18535]) ).

tcf(c_18726,negated_conjecture,
    ( iPr_def_26
    | hskp13
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18593]) ).

tcf(c_18729,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_26
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18552]) ).

tcf(c_18731,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_11
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18530]) ).

tcf(c_18732,negated_conjecture,
    ( iPr_def_16
    | hskp4
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18596]) ).

tcf(c_18737,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_16
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18537]) ).

tcf(c_18738,negated_conjecture,
    ( iPr_def_19
    | hskp19
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_18599]) ).

tcf(c_18739,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_19
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18541]) ).

tcf(c_18741,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_18
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18539]) ).

tcf(c_18742,negated_conjecture,
    ( iPr_def_25
    | hskp21
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_18601]) ).

tcf(c_18743,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_25
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18550]) ).

tcf(c_18744,negated_conjecture,
    ( iPr_def_14
    | hskp4
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18602]) ).

tcf(c_18746,negated_conjecture,
    ( iPr_def_14
    | hskp30
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_18603]) ).

tcf(c_18747,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_14
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18534]) ).

tcf(c_18749,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_13
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18533]) ).

tcf(c_18750,negated_conjecture,
    ( iPr_def_33
    | hskp7
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18605]) ).

tcf(c_18752,negated_conjecture,
    ( iPr_def_33
    | hskp8
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_18606]) ).

tcf(c_18753,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_33
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18566]) ).

tcf(c_18757,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_22
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_18545]) ).

tcf(c_18758,negated_conjecture,
    ( iPr_def_36
    | hskp14
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_18610]) ).

tcf(c_18760,negated_conjecture,
    ( iPr_def_36
    | hskp16
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_18611]) ).

tcf(c_18761,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_36
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_18578]) ).

tcf(c_18764,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_381]) ).

tcf(c_18766,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_34
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_18573]) ).

tcf(c_18767,negated_conjecture,
    ( iPr_def_35
    | hskp3
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_18615]) ).

tcf(c_18770,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | c1_1(X0)
      | ~ iPr_def_35 ),
    inference(demodulation,[status(thm)],[c_18576]) ).

tcf(c_18771,negated_conjecture,
    ( iPr_def_23
    | hskp28
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_18617]) ).

tcf(c_18773,negated_conjecture,
    ( iPr_def_23
    | hskp10
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_18618]) ).

tcf(c_18775,negated_conjecture,
    ( iPr_def_23
    | hskp12
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_18619]) ).

tcf(c_18776,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | c3_1(X0)
      | ~ iPr_def_23 ),
    inference(demodulation,[status(thm)],[c_18546]) ).

tcf(c_18778,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_18542]) ).

tcf(c_18779,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_356]) ).

tcf(c_18891,plain,
    ( c2_1(a2276)
    | c0_1(a2276)
    | ~ iPr_def_22
    | ~ c3_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18757]) ).

tcf(c_18903,plain,
    ( c0_1(a2276)
    | ~ iPr_def_15
    | ~ c2_1(a2276)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18721]) ).

tcf(c_18906,plain,
    ( c2_1(a2276)
    | ~ iPr_def_18
    | ~ c3_1(a2276)
    | ~ c1_1(a2276) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_18917,plain,
    ( c2_1(a2277)
    | ~ iPr_def_12
    | ~ c0_1(a2277)
    | ~ c1_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18687]) ).

tcf(c_18923,plain,
    ( c2_1(a2278)
    | ~ iPr_def_12
    | ~ c0_1(a2278)
    | ~ c1_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18687]) ).

tcf(c_18924,plain,
    ( c0_1(a2282)
    | ~ iPr_def_15
    | ~ c2_1(a2282)
    | ~ c1_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18721]) ).

tcf(c_18929,plain,
    ( c0_1(a2315)
    | ~ iPr_def_15
    | ~ c2_1(a2315)
    | ~ c1_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18721]) ).

tcf(c_18933,plain,
    ( c1_1(a2323)
    | ~ iPr_def_16
    | ~ c2_1(a2323)
    | ~ c3_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18737]) ).

tcf(c_18936,plain,
    ( c2_1(a2277)
    | ~ iPr_def_19
    | ~ c0_1(a2277)
    | ~ c3_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18739]) ).

tcf(c_18939,plain,
    ( c2_1(a2294)
    | ~ iPr_def_19
    | ~ c0_1(a2294)
    | ~ c3_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18739]) ).

tcf(c_18941,plain,
    ( c2_1(a2342)
    | ~ iPr_def_19
    | ~ c0_1(a2342)
    | ~ c3_1(a2342) ),
    inference(instantiation,[status(thm)],[c_18739]) ).

tcf(c_18946,plain,
    ( c1_1(a2294)
    | ~ iPr_def_11
    | ~ c0_1(a2294)
    | ~ c3_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18731]) ).

tcf(c_18948,plain,
    ( c1_1(a2342)
    | ~ iPr_def_11
    | ~ c0_1(a2342)
    | ~ c3_1(a2342) ),
    inference(instantiation,[status(thm)],[c_18731]) ).

tcf(c_18950,plain,
    ( c2_1(a2277)
    | c3_1(a2277)
    | ~ iPr_def_34
    | ~ c0_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_18953,plain,
    ( c2_1(a2294)
    | c3_1(a2294)
    | ~ iPr_def_34
    | ~ c0_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_18954,plain,
    ( c2_1(a2295)
    | c3_1(a2295)
    | ~ iPr_def_34
    | ~ c0_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_18957,plain,
    ( c3_1(a2282)
    | ~ iPr_def_13
    | ~ c2_1(a2282)
    | ~ c1_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18749]) ).

tcf(c_18973,plain,
    ( c2_1(a2327)
    | c0_1(a2327)
    | ~ iPr_def_22
    | ~ c3_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18757]) ).

tcf(c_18986,plain,
    ( c0_1(a2323)
    | c1_1(a2323)
    | ~ iPr_def_17
    | ~ c2_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18667]) ).

tcf(c_18989,plain,
    ( c0_1(a2345)
    | c1_1(a2345)
    | ~ iPr_def_17
    | ~ c2_1(a2345) ),
    inference(instantiation,[status(thm)],[c_18667]) ).

tcf(c_18991,plain,
    ( c0_1(a2282)
    | c1_1(a2282)
    | ~ iPr_def_17
    | ~ c2_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18667]) ).

tcf(c_18997,plain,
    ( c2_1(a2306)
    | c3_1(a2306)
    | c1_1(a2306)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_18778]) ).

tcf(c_19015,plain,
    ( ~ iPr_def_21
    | ~ c2_1(a2278)
    | ~ c0_1(a2278)
    | ~ c1_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18713]) ).

tcf(c_19016,plain,
    ( c2_1(a2277)
    | ~ iPr_def_18
    | ~ c3_1(a2277)
    | ~ c1_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_19017,plain,
    ( c2_1(a2280)
    | ~ iPr_def_18
    | ~ c3_1(a2280)
    | ~ c1_1(a2280) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_19018,plain,
    ( c2_1(a2286)
    | ~ iPr_def_18
    | ~ c3_1(a2286)
    | ~ c1_1(a2286) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_19025,plain,
    ( c2_1(a2327)
    | ~ iPr_def_18
    | ~ c3_1(a2327)
    | ~ c1_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_19026,plain,
    ( c2_1(a2342)
    | ~ iPr_def_18
    | ~ c3_1(a2342)
    | ~ c1_1(a2342) ),
    inference(instantiation,[status(thm)],[c_18741]) ).

tcf(c_19027,plain,
    ( c0_1(a2282)
    | c3_1(a2282)
    | ~ iPr_def_36
    | ~ c1_1(a2282) ),
    inference(instantiation,[status(thm)],[c_18761]) ).

tcf(c_19033,plain,
    ( c0_1(a2316)
    | c3_1(a2316)
    | ~ iPr_def_36
    | ~ c1_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18761]) ).

tcf(c_19039,plain,
    ( c2_1(a2291)
    | c0_1(a2291)
    | c1_1(a2291)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_18770]) ).

tcf(c_19045,plain,
    ( c2_1(a2327)
    | c0_1(a2327)
    | c1_1(a2327)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_18770]) ).

tcf(c_19062,plain,
    ( c2_1(a2286)
    | c0_1(a2286)
    | c3_1(a2286)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19065,plain,
    ( c2_1(a2304)
    | c0_1(a2304)
    | c3_1(a2304)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19068,plain,
    ( c2_1(a2316)
    | c0_1(a2316)
    | c3_1(a2316)
    | ~ iPr_def_23 ),
    inference(instantiation,[status(thm)],[c_18776]) ).

tcf(c_19099,plain,
    ( c2_1(a2279)
    | c3_1(a2279)
    | ~ iPr_def_34
    | ~ c0_1(a2279) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_19103,plain,
    ( c3_1(a2277)
    | ~ iPr_def_25
    | ~ c0_1(a2277)
    | ~ c1_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18743]) ).

tcf(c_19106,plain,
    ( c3_1(a2293)
    | ~ iPr_def_25
    | ~ c0_1(a2293)
    | ~ c1_1(a2293) ),
    inference(instantiation,[status(thm)],[c_18743]) ).

tcf(c_19130,plain,
    ( c3_1(a2294)
    | c1_1(a2294)
    | ~ iPr_def_29
    | ~ c0_1(a2294) ),
    inference(instantiation,[status(thm)],[c_18708]) ).

tcf(c_19131,plain,
    ( c3_1(a2295)
    | c1_1(a2295)
    | ~ iPr_def_29
    | ~ c0_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18708]) ).

tcf(c_19139,plain,
    ( c3_1(a2295)
    | c1_1(a2295)
    | ~ iPr_def_30
    | ~ c2_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

tcf(c_19145,plain,
    ( c3_1(a2287)
    | c1_1(a2287)
    | ~ iPr_def_30
    | ~ c2_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

tcf(c_19156,plain,
    ( c3_1(a2316)
    | ~ iPr_def_25
    | ~ c0_1(a2316)
    | ~ c1_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18743]) ).

tcf(c_19158,plain,
    ( c2_1(a2316)
    | c3_1(a2316)
    | ~ iPr_def_34
    | ~ c0_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_19161,plain,
    ( c2_1(a2316)
    | ~ iPr_def_12
    | ~ c0_1(a2316)
    | ~ c1_1(a2316) ),
    inference(instantiation,[status(thm)],[c_18687]) ).

tcf(c_19176,plain,
    ( c3_1(a2285)
    | ~ iPr_def_25
    | ~ c0_1(a2285)
    | ~ c1_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18743]) ).

tcf(c_19177,plain,
    ( ~ iPr_def_21
    | ~ c2_1(a2285)
    | ~ c0_1(a2285)
    | ~ c1_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18713]) ).

tcf(c_19178,plain,
    ( c2_1(a2285)
    | c3_1(a2285)
    | ~ iPr_def_34
    | ~ c0_1(a2285) ),
    inference(instantiation,[status(thm)],[c_18766]) ).

tcf(c_19198,plain,
    ( c0_1(a2302)
    | ~ iPr_def_26
    | ~ c2_1(a2302)
    | ~ c3_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18729]) ).

tcf(c_19208,plain,
    ( hskp20
    | c0_1(a2302)
    | ~ c2_1(a2302)
    | ~ c3_1(a2302) ),
    inference(instantiation,[status(thm)],[c_18764]) ).

tcf(c_19212,plain,
    ( hskp20
    | c0_1(a2315)
    | ~ c2_1(a2315)
    | ~ c3_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18764]) ).

tcf(c_19223,plain,
    ( c3_1(a2287)
    | ~ iPr_def_14
    | ~ c2_1(a2287)
    | ~ c0_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18747]) ).

tcf(c_19225,plain,
    ( c3_1(a2295)
    | ~ iPr_def_14
    | ~ c2_1(a2295)
    | ~ c0_1(a2295) ),
    inference(instantiation,[status(thm)],[c_18747]) ).

tcf(c_19233,plain,
    ( ~ iPr_def_37
    | ~ c2_1(a2315)
    | ~ c3_1(a2315)
    | ~ c1_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18719]) ).

tcf(c_19234,plain,
    ( c3_1(a2303)
    | ~ iPr_def_13
    | ~ c2_1(a2303)
    | ~ c1_1(a2303) ),
    inference(instantiation,[status(thm)],[c_18749]) ).

tcf(c_19280,plain,
    ( ~ iPr_def_24
    | ~ c2_1(a2287)
    | ~ c0_1(a2287)
    | ~ c3_1(a2287) ),
    inference(instantiation,[status(thm)],[c_18651]) ).

tcf(c_19284,plain,
    ( ~ iPr_def_24
    | ~ c2_1(a2278)
    | ~ c0_1(a2278)
    | ~ c3_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18651]) ).

tcf(c_19287,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a2277)
    | ~ c3_1(a2277)
    | ~ c1_1(a2277) ),
    inference(instantiation,[status(thm)],[c_18664]) ).

tcf(c_19293,plain,
    ( ~ iPr_def_10
    | ~ c0_1(a2278)
    | ~ c3_1(a2278)
    | ~ c1_1(a2278) ),
    inference(instantiation,[status(thm)],[c_18664]) ).

tcf(c_19337,plain,
    ( c0_1(a2345)
    | c1_1(a2345)
    | ~ iPr_def_33
    | ~ c3_1(a2345) ),
    inference(instantiation,[status(thm)],[c_18753]) ).

tcf(c_19351,plain,
    ( c0_1(a2324)
    | c3_1(a2324)
    | ~ iPr_def_36
    | ~ c1_1(a2324) ),
    inference(instantiation,[status(thm)],[c_18761]) ).

tcf(c_19357,plain,
    ( c0_1(a2327)
    | c1_1(a2327)
    | ~ iPr_def_33
    | ~ c3_1(a2327) ),
    inference(instantiation,[status(thm)],[c_18753]) ).

tcf(c_19436,plain,
    ( c0_1(a2299)
    | c1_1(a2299)
    | ~ iPr_def_17
    | ~ c2_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18667]) ).

tcf(c_19510,plain,
    ( c1_1(a2323)
    | ~ iPr_def_11
    | ~ c0_1(a2323)
    | ~ c3_1(a2323) ),
    inference(instantiation,[status(thm)],[c_18731]) ).

tcf(c_19535,plain,
    ( c2_1(a2345)
    | c0_1(a2345)
    | c1_1(a2345)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_18770]) ).

tcf(c_19590,plain,
    ( c3_1(a2299)
    | c1_1(a2299)
    | ~ iPr_def_29
    | ~ c0_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18708]) ).

tcf(c_19610,plain,
    ( c3_1(a2299)
    | c1_1(a2299)
    | ~ iPr_def_30
    | ~ c2_1(a2299) ),
    inference(instantiation,[status(thm)],[c_18705]) ).

tcf(c_19722,plain,
    ( hskp12
    | c3_1(a2293)
    | c1_1(a2293)
    | ~ c0_1(a2293) ),
    inference(instantiation,[status(thm)],[c_18779]) ).

tcf(c_19748,plain,
    ( ~ iPr_def_21
    | ~ c2_1(a2315)
    | ~ c0_1(a2315)
    | ~ c1_1(a2315) ),
    inference(instantiation,[status(thm)],[c_18713]) ).

tcf(c_19841,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_19748,c_19722,c_19610,c_19590,c_19535,c_19510,c_19436,c_19357,c_19351,c_19337,c_19293,c_19287,c_19284,c_19280,c_19234,c_19233,c_19225,c_19223,c_19212,c_19208,c_19198,c_19176,c_19177,c_19178,c_19156,c_19158,c_19161,c_19145,c_19139,c_19131,c_19130,c_19106,c_19103,c_19099,c_19068,c_19065,c_19062,c_19045,c_19039,c_19033,c_19027,c_19026,c_19025,c_19018,c_19017,c_19016,c_19015,c_18997,c_18991,c_18989,c_18986,c_18973,c_18957,c_18954,c_18953,c_18950,c_18948,c_18946,c_18941,c_18939,c_18936,c_18933,c_18929,c_18924,c_18923,c_18917,c_18906,c_18903,c_18891,c_18775,c_18773,c_18771,c_18767,c_18760,c_18758,c_18752,c_18750,c_18746,c_18744,c_18742,c_18738,c_18732,c_18726,c_18716,c_18704,c_18701,c_18698,c_18692,c_18686,c_18683,c_18665,c_18656,c_18653,c_18644,c_18637,c_18633,c_18629,c_18625,c_18621,c_9480,c_9470,c_3894,c_3877,c_3860,c_3675,c_3658,c_3641,c_3516,c_3506,c_3496,c_2409,c_2399,c_2389,c_1950,c_1940,c_1930,c_1917,c_1903,c_1889,c_52,c_56,c_59,c_60,c_64,c_67,c_68,c_76,c_79,c_80,c_84,c_86,c_87,c_88,c_92,c_95,c_96,c_99,c_100,c_103,c_104,c_108,c_112,c_114,c_115,c_116,c_127,c_128,c_132,c_135,c_136,c_143,c_144,c_152,c_50,c_51,c_54,c_55,c_58,c_62,c_63,c_66,c_74,c_75,c_78,c_82,c_83,c_90,c_94,c_98,c_102,c_106,c_107,c_110,c_111,c_126,c_130,c_131,c_134,c_142,c_150,c_151,c_162,c_163,c_164,c_170,c_171,c_172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN487+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.59  % Computer : n017.cluster.edu
% 0.10/5.59  % Model    : x86_64 x86_64
% 0.10/5.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.59  % Memory   : 8046.5625MB
% 0.10/5.59  % OS       : Linux 6.8.0-71-generic
% 0.10/5.59  % CPULimit : 300
% 0.10/5.59  % WCLimit  : 300
% 0.10/5.59  % DateTime : Fri Sep 25 01:26:09 UTC 2026
% 0.10/5.59  % CPUTime  : 
% 0.10/5.59  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.62  Running first-order theorem proving
% 0.14/5.62  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.63  
% 0.14/5.63  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.63  
% 0.14/5.63  % Detected problem language: tptp
% 0.14/5.65  % Proving...
% 4.42/6.50  % SZS status Started for theBenchmark.p
% 4.42/6.50  % SZS status Theorem for theBenchmark.p
% 4.42/6.50  
% 4.42/6.50  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.42/6.50  
% 4.42/6.50  % ------  iProver source info
% 4.42/6.50  
% 4.42/6.50  % git: date: 2026-07-19 20:42:38 +0200
% 4.42/6.50  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.42/6.50  % git: non_committed_changes: false
% 4.42/6.50  
% 4.42/6.50  % ------ Parsing...
% 4.42/6.50  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.42/6.50  % 
% 4.42/6.50  
% 4.42/6.50  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.42/6.50  
% 4.42/6.50  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.42/6.50   gs_s  sp: 95 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.42/6.50  % ------ Proving...
% 4.42/6.50  % ------ Problem Properties 
% 4.42/6.50  
% 4.42/6.50  % 
% 4.42/6.50  % clauses                               201
% 4.42/6.50  % conjectures                           201
% 4.42/6.50  % EPR                                   201
% 4.42/6.50  % Horn                                  112
% 4.42/6.50  % unary                                 0
% 4.42/6.50  % binary                                96
% 4.42/6.50  % lits                                  539
% 4.42/6.50  % lits eq                               0
% 4.42/6.50  % fd_pure                               0
% 4.42/6.50  % fd_pseudo                             0
% 4.42/6.50  % fd_cond                               0
% 4.42/6.50  % fd_pseudo_cond                        0
% 4.42/6.50  % AC symbols                            0
% 4.42/6.50  
% 4.42/6.50  % ------ Schedule EPR non Horn non eq is on
% 4.42/6.50  
% 4.42/6.50  % ------ no equalities: superposition off 
% 4.42/6.50  
% 4.42/6.50  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.42/6.50  
% 4.42/6.50  
% 4.42/6.50  % ------ 
% 4.42/6.50  % Current options:
% 4.42/6.50  % ------ 
% 4.42/6.50  
% 4.42/6.50  
% 4.42/6.50  % 
% 4.42/6.50  
% 4.42/6.50  % ------ Proving...
% 4.42/6.50  % 
% 4.42/6.50  
% 4.42/6.50  % SZS status Theorem for theBenchmark.p
% 4.42/6.50  
% 4.42/6.50  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.42/6.51  
% 4.42/6.51  
%------------------------------------------------------------------------------