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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN489+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 : n003.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 03:40:31 PM UTC 2026

% Result   : Theorem 3.55s 1.20s
% Output   : CNFRefutation 1.35s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f212ERROR: Could not build tree for root c_17825ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp3
        | hskp27
        | hskp2 )
      & ( hskp12
        | hskp13
        | hskp7 )
      & ( hskp27
        | hskp23 )
      & ( hskp0
        | hskp24 )
      & ( hskp16
        | hskp19
        | hskp6 )
      & ( hskp20
        | hskp2
        | hskp21 )
      & ( hskp1
        | hskp18
        | hskp21 )
      & ( hskp26
        | hskp21
        | hskp30 )
      & ( hskp23
        | hskp31
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c2_1(X120)
              | ~ c1_1(X120) ) ) )
      & ( hskp20
        | hskp6
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( hskp3
        | ! [X118] :
            ( ndr1_0
           => ( ~ c3_1(X118)
              | ~ c2_1(X118)
              | ~ c0_1(X118) ) )
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c1_1(X117)
              | ~ c0_1(X117) ) ) )
      & ( hskp1
        | hskp28
        | ! [X116] :
            ( ndr1_0
           => ( ~ c2_1(X116)
              | ~ c1_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp20
        | hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp10
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp18
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | c2_1(X112) ) ) )
      & ( hskp6
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c2_1(X111)
              | ~ c0_1(X111) ) )
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c1_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp25
        | hskp24
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp9
        | hskp30
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp4
        | hskp9
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | c3_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp16
        | hskp19
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp10
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | c3_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp21
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c0_1(X103)
              | c3_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c0_1(X102)
              | c3_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp7
        | hskp8
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c2_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp24
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp22
        | hskp5
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp28
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c1_1(X97)
              | ~ c0_1(X97) ) )
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp4
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp21
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) )
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp0
        | hskp18
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp3
        | hskp25
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp14
        | hskp20
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp2
        | hskp29
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp22
        | hskp30
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp2
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp29
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c2_1(X82)
              | ~ c1_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp24
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp23
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp22
        | hskp21
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp7
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | c3_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp20
        | hskp19
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp10
        | hskp18
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp14
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c1_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp0
        | hskp15
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp17
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp16
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp15
        | hskp4
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c2_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | ~ c0_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp4
        | hskp13
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp12
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp0
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | ~ c0_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c0_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp11
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp3
        | hskp28
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp10
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c3_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp1
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c3_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp9
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp8
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c2_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp7
        | hskp6
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp5
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | ~ c1_1(X25)
              | ~ c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp4
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c3_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp0
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | ~ c0_1(X21)
              | c2_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c0_1(X19)
              | c3_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp3
        | ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp2
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c0_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | ~ c1_1(X6)
              | ~ c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2597)
          & c1_1(a2597)
          & c0_1(a2597)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c2_1(a2558)
          & c1_1(a2558)
          & c0_1(a2558)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2556)
          & c2_1(a2556)
          & c1_1(a2556)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2529)
          & c2_1(a2529)
          & c0_1(a2529)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a2614)
          & ~ c2_1(a2614)
          & c1_1(a2614)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a2601)
          & c3_1(a2601)
          & c0_1(a2601)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2564)
          & ~ c1_1(a2564)
          & c0_1(a2564)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a2555)
          & c2_1(a2555)
          & c0_1(a2555)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a2553)
          & ~ c1_1(a2553)
          & c0_1(a2553)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a2552)
          & ~ c1_1(a2552)
          & c2_1(a2552)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a2551)
          & c1_1(a2551)
          & c0_1(a2551)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a2549)
          & ~ c0_1(a2549)
          & c2_1(a2549)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a2548)
          & c3_1(a2548)
          & c0_1(a2548)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c0_1(a2545)
          & c2_1(a2545)
          & c1_1(a2545)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a2541)
          & ~ c1_1(a2541)
          & c3_1(a2541)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2540)
          & ~ c2_1(a2540)
          & c0_1(a2540)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2539)
          & ~ c0_1(a2539)
          & c3_1(a2539)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c3_1(a2536)
          & ~ c1_1(a2536)
          & ~ c0_1(a2536)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a2534)
          & ~ c0_1(a2534)
          & c1_1(a2534)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2533)
          & ~ c2_1(a2533)
          & ~ c1_1(a2533)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a2531)
          & c2_1(a2531)
          & c1_1(a2531)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a2528)
          & ~ c0_1(a2528)
          & c3_1(a2528)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a2526)
          & c3_1(a2526)
          & c1_1(a2526)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a2525)
          & c2_1(a2525)
          & c0_1(a2525)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a2524)
          & c3_1(a2524)
          & c1_1(a2524)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2523)
          & c1_1(a2523)
          & c0_1(a2523)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a2522)
          & c3_1(a2522)
          & c2_1(a2522)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a2521)
          & c3_1(a2521)
          & c2_1(a2521)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2519)
          & ~ c2_1(a2519)
          & ~ c0_1(a2519)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2518)
          & ~ c0_1(a2518)
          & c1_1(a2518)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2517)
          & ~ c0_1(a2517)
          & c2_1(a2517)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a2516)
          & ~ c1_1(a2516)
          & ~ c0_1(a2516)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp3
          | hskp27
          | hskp2 )
        & ( hskp12
          | hskp13
          | hskp7 )
        & ( hskp27
          | hskp23 )
        & ( hskp0
          | hskp24 )
        & ( hskp16
          | hskp19
          | hskp6 )
        & ( hskp20
          | hskp2
          | hskp21 )
        & ( hskp1
          | hskp18
          | hskp21 )
        & ( hskp26
          | hskp21
          | hskp30 )
        & ( hskp23
          | hskp31
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c2_1(X120)
                | ~ c1_1(X120) ) ) )
        & ( hskp20
          | hskp6
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( hskp3
          | ! [X118] :
              ( ndr1_0
             => ( ~ c3_1(X118)
                | ~ c2_1(X118)
                | ~ c0_1(X118) ) )
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c1_1(X117)
                | ~ c0_1(X117) ) ) )
        & ( hskp1
          | hskp28
          | ! [X116] :
              ( ndr1_0
             => ( ~ c2_1(X116)
                | ~ c1_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp20
          | hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp10
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp18
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | c2_1(X112) ) ) )
        & ( hskp6
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c1_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp25
          | hskp24
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp9
          | hskp30
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp4
          | hskp9
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | c3_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp16
          | hskp19
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp10
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | c3_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp21
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp7
          | hskp8
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp24
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp22
          | hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp28
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp4
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp21
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp0
          | hskp18
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp3
          | hskp25
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp14
          | hskp20
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp2
          | hskp29
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp22
          | hskp30
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp2
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c2_1(X82)
                | ~ c1_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp24
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp23
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp22
          | hskp21
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp7
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c3_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp20
          | hskp19
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp10
          | hskp18
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp14
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp0
          | hskp15
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp16
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp15
          | hskp4
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | ~ c0_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp4
          | hskp13
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp12
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp0
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c0_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp11
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp3
          | hskp28
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp10
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp1
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp9
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp8
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp7
          | hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp5
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | ~ c1_1(X25)
                | ~ c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp4
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp0
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | ~ c0_1(X21)
                | c2_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp3
          | ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2597)
            & c1_1(a2597)
            & c0_1(a2597)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a2558)
            & c1_1(a2558)
            & c0_1(a2558)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2556)
            & c2_1(a2556)
            & c1_1(a2556)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2529)
            & c2_1(a2529)
            & c0_1(a2529)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a2614)
            & ~ c2_1(a2614)
            & c1_1(a2614)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2601)
            & c3_1(a2601)
            & c0_1(a2601)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2564)
            & ~ c1_1(a2564)
            & c0_1(a2564)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2555)
            & c2_1(a2555)
            & c0_1(a2555)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a2553)
            & ~ c1_1(a2553)
            & c0_1(a2553)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2552)
            & ~ c1_1(a2552)
            & c2_1(a2552)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a2551)
            & c1_1(a2551)
            & c0_1(a2551)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2549)
            & ~ c0_1(a2549)
            & c2_1(a2549)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a2548)
            & c3_1(a2548)
            & c0_1(a2548)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c0_1(a2545)
            & c2_1(a2545)
            & c1_1(a2545)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a2541)
            & ~ c1_1(a2541)
            & c3_1(a2541)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2540)
            & ~ c2_1(a2540)
            & c0_1(a2540)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2539)
            & ~ c0_1(a2539)
            & c3_1(a2539)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c3_1(a2536)
            & ~ c1_1(a2536)
            & ~ c0_1(a2536)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a2534)
            & ~ c0_1(a2534)
            & c1_1(a2534)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2533)
            & ~ c2_1(a2533)
            & ~ c1_1(a2533)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a2531)
            & c2_1(a2531)
            & c1_1(a2531)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2528)
            & ~ c0_1(a2528)
            & c3_1(a2528)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a2526)
            & c3_1(a2526)
            & c1_1(a2526)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2525)
            & c2_1(a2525)
            & c0_1(a2525)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2524)
            & c3_1(a2524)
            & c1_1(a2524)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2523)
            & c1_1(a2523)
            & c0_1(a2523)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a2522)
            & c3_1(a2522)
            & c2_1(a2522)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a2521)
            & c3_1(a2521)
            & c2_1(a2521)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2519)
            & ~ c2_1(a2519)
            & ~ c0_1(a2519)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2518)
            & ~ c0_1(a2518)
            & c1_1(a2518)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2517)
            & ~ c0_1(a2517)
            & c2_1(a2517)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a2516)
            & ~ c1_1(a2516)
            & ~ c0_1(a2516)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c2_1(X120)
            | ~ c1_1(X120) ) ) )
    & ( hskp20
      | hskp6
      | ! [X119] :
          ( ndr1_0
         => ( ~ c3_1(X119)
            | ~ c2_1(X119)
            | ~ c0_1(X119) ) ) )
    & ( hskp3
      | ! [X118] :
          ( ndr1_0
         => ( ~ c3_1(X118)
            | ~ c2_1(X118)
            | ~ c0_1(X118) ) )
      | ! [X117] :
          ( ndr1_0
         => ( ~ c2_1(X117)
            | ~ c1_1(X117)
            | ~ c0_1(X117) ) ) )
    & ( hskp1
      | hskp28
      | ! [X116] :
          ( ndr1_0
         => ( ~ c2_1(X116)
            | ~ c1_1(X116)
            | c3_1(X116) ) ) )
    & ( hskp20
      | hskp25
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) ) )
    & ( hskp10
      | hskp29
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c0_1(X114)
            | c3_1(X114) ) ) )
    & ( hskp18
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c2_1(X113)
            | ~ c1_1(X113) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c1_1(X112)
            | c2_1(X112) ) ) )
    & ( hskp6
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c2_1(X111)
            | ~ c0_1(X111) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c1_1(X110)
            | c2_1(X110) ) ) )
    & ( hskp25
      | hskp24
      | ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | ~ c0_1(X109)
            | c2_1(X109) ) ) )
    & ( hskp9
      | hskp30
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | ~ c0_1(X108)
            | c2_1(X108) ) ) )
    & ( hskp4
      | hskp9
      | ! [X107] :
          ( ndr1_0
         => ( ~ c0_1(X107)
            | c3_1(X107)
            | c2_1(X107) ) ) )
    & ( hskp16
      | hskp19
      | ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | c3_1(X106)
            | c2_1(X106) ) ) )
    & ( hskp10
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c0_1(X104)
            | c3_1(X104)
            | c2_1(X104) ) ) )
    & ( hskp21
      | ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | ~ c0_1(X103)
            | c3_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) ) )
    & ( hskp7
      | hskp8
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | c1_1(X101) ) ) )
    & ( hskp24
      | ! [X100] :
          ( ndr1_0
         => ( ~ c0_1(X100)
            | c3_1(X100)
            | c2_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | ~ c2_1(X99)
            | c1_1(X99) ) ) )
    & ( hskp22
      | hskp5
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | c1_1(X98) ) ) )
    & ( hskp28
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c1_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) ) )
    & ( hskp4
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | c3_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) ) )
    & ( hskp21
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c0_1(X93)
            | c3_1(X93) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) ) )
    & ( hskp0
      | hskp18
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c0_1(X91)
            | c1_1(X91) ) ) )
    & ( hskp3
      | hskp25
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c0_1(X90)
            | c1_1(X90) ) ) )
    & ( hskp14
      | hskp20
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c3_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp2
      | hskp29
      | ! [X88] :
          ( ndr1_0
         => ( ~ c0_1(X88)
            | c3_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp22
      | hskp30
      | ! [X87] :
          ( ndr1_0
         => ( ~ c0_1(X87)
            | c3_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp2
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c3_1(X85)
            | c1_1(X85) ) ) )
    & ( hskp29
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | c3_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c1_1(X83) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c2_1(X82)
            | ~ c1_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c0_1(X81)
            | c3_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp24
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c3_1(X79)
            | c2_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp1
      | hskp23
      | ! [X77] :
          ( ndr1_0
         => ( ~ c0_1(X77)
            | c2_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp22
      | hskp21
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp7
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c3_1(X75)
            | c2_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c2_1(X72)
            | c1_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp20
      | hskp19
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp14
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c1_1(X69)
            | c2_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp10
      | hskp18
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | ~ c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp14
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c1_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | ~ c0_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp0
      | hskp15
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c1_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp17
      | ! [X60] :
          ( ndr1_0
         => ( ~ c1_1(X60)
            | c3_1(X60)
            | c2_1(X60) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp16
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c0_1(X58)
            | c1_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp15
      | hskp4
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c3_1(X55)
            | c1_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | c2_1(X54)
            | c1_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp14
      | ! [X50] :
          ( ndr1_0
         => ( ~ c1_1(X50)
            | ~ c0_1(X50)
            | c2_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c0_1(X48)
            | c1_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | c3_1(X47)
            | c1_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | c3_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp4
      | hskp13
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c3_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp12
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c0_1(X44)
            | c3_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c3_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp0
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c2_1(X39)
            | ~ c0_1(X39)
            | c1_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp11
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp3
      | hskp28
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp10
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | c3_1(X34)
            | c2_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c1_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp1
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c3_1(X32)
            | c2_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp9
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( hskp8
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c2_1(X28)
            | c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) ) )
    & ( hskp7
      | hskp6
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | c1_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp5
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | ~ c1_1(X25)
            | ~ c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( hskp4
      | ! [X23] :
          ( ndr1_0
         => ( ~ c0_1(X23)
            | c3_1(X23)
            | c1_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp0
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | ~ c0_1(X21)
            | c2_1(X21) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | ~ c2_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp3
      | ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c1_1(X13)
            | c0_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c1_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c0_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( hskp2
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c1_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | c3_1(X5)
            | c0_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp1
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c1_1(X2)
            | c0_1(X2) ) ) )
    & ( hskp0
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c2_1(X120)
          | ~ c1_1(X120) ) )
    & ( hskp20
      | hskp6
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c3_1(X119)
          | ~ c2_1(X119)
          | ~ c0_1(X119) ) )
    & ( hskp3
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c3_1(X118)
          | ~ c2_1(X118)
          | ~ c0_1(X118) )
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp1
      | hskp28
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c2_1(X116)
          | ~ c1_1(X116)
          | c3_1(X116) ) )
    & ( hskp20
      | hskp25
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp10
      | hskp29
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp18
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c2_1(X113)
          | ~ c1_1(X113) )
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c1_1(X112)
          | c2_1(X112) ) )
    & ( hskp6
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110) ) )
    & ( hskp25
      | hskp24
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) ) )
    & ( hskp9
      | hskp30
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | c2_1(X108) ) )
    & ( hskp4
      | hskp9
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107) ) )
    & ( hskp16
      | hskp19
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c2_1(X106) ) )
    & ( hskp10
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | c3_1(X104)
          | c2_1(X104) ) )
    & ( hskp21
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | c3_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102) ) )
    & ( hskp7
      | hskp8
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101) ) )
    & ( hskp24
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c0_1(X100)
          | c3_1(X100)
          | c2_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) ) )
    & ( hskp22
      | hskp5
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp28
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp4
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( hskp21
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92) ) )
    & ( hskp0
      | hskp18
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp3
      | hskp25
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp14
      | hskp20
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp2
      | hskp29
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c3_1(X88)
          | c1_1(X88) ) )
    & ( hskp22
      | hskp30
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c0_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp2
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( hskp29
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | ~ c1_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c3_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp24
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp1
      | hskp23
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp22
      | hskp21
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp7
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | c1_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp20
      | hskp19
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp14
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | c2_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp10
      | hskp18
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | c0_1(X67) ) )
    & ( hskp14
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | ~ c0_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp0
      | hskp15
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp17
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp16
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp15
      | hskp4
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c1_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c2_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp14
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | ~ c0_1(X50)
          | c2_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp4
      | hskp13
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp12
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp0
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp11
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp3
      | hskp28
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp10
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c3_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp1
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c3_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp9
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp8
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c0_1(X28)
          | c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp7
      | hskp6
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp5
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp4
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp0
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp3
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c1_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c1_1(X5)
          | c3_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | ~ c2_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp3
      | hskp27
      | hskp2 )
    & ( hskp12
      | hskp13
      | hskp7 )
    & ( hskp27
      | hskp23 )
    & ( hskp0
      | hskp24 )
    & ( hskp16
      | hskp19
      | hskp6 )
    & ( hskp20
      | hskp2
      | hskp21 )
    & ( hskp1
      | hskp18
      | hskp21 )
    & ( hskp26
      | hskp21
      | hskp30 )
    & ( hskp23
      | hskp31
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c2_1(X120)
          | ~ c1_1(X120) ) )
    & ( hskp20
      | hskp6
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c3_1(X119)
          | ~ c2_1(X119)
          | ~ c0_1(X119) ) )
    & ( hskp3
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c3_1(X118)
          | ~ c2_1(X118)
          | ~ c0_1(X118) )
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c2_1(X117)
          | ~ c1_1(X117)
          | ~ c0_1(X117) ) )
    & ( hskp1
      | hskp28
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c2_1(X116)
          | ~ c1_1(X116)
          | c3_1(X116) ) )
    & ( hskp20
      | hskp25
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp10
      | hskp29
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp18
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c2_1(X113)
          | ~ c1_1(X113) )
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c1_1(X112)
          | c2_1(X112) ) )
    & ( hskp6
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111) )
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c3_1(X110)
          | ~ c1_1(X110)
          | c2_1(X110) ) )
    & ( hskp25
      | hskp24
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c1_1(X109)
          | ~ c0_1(X109)
          | c2_1(X109) ) )
    & ( hskp9
      | hskp30
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | c2_1(X108) ) )
    & ( hskp4
      | hskp9
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | c3_1(X107)
          | c2_1(X107) ) )
    & ( hskp16
      | hskp19
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c2_1(X106) ) )
    & ( hskp10
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | c3_1(X104)
          | c2_1(X104) ) )
    & ( hskp21
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c1_1(X103)
          | ~ c0_1(X103)
          | c3_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102) ) )
    & ( hskp7
      | hskp8
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c2_1(X101)
          | c1_1(X101) ) )
    & ( hskp24
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c0_1(X100)
          | c3_1(X100)
          | c2_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c3_1(X99)
          | ~ c2_1(X99)
          | c1_1(X99) ) )
    & ( hskp22
      | hskp5
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c1_1(X98) ) )
    & ( hskp28
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97) )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96) ) )
    & ( hskp4
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | c3_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( hskp21
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93) )
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92) ) )
    & ( hskp0
      | hskp18
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp3
      | hskp25
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90) ) )
    & ( hskp14
      | hskp20
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c1_1(X89) ) )
    & ( hskp2
      | hskp29
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c0_1(X88)
          | c3_1(X88)
          | c1_1(X88) ) )
    & ( hskp22
      | hskp30
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c0_1(X87)
          | c3_1(X87)
          | c1_1(X87) ) )
    & ( hskp2
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c1_1(X85) ) )
    & ( hskp29
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c2_1(X82)
          | ~ c1_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c3_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp24
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c3_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp1
      | hskp23
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | c2_1(X77)
          | c1_1(X77) ) )
    & ( hskp22
      | hskp21
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp7
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | c3_1(X75)
          | c2_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c3_1(X72)
          | ~ c2_1(X72)
          | c1_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp20
      | hskp19
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp14
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | c2_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp10
      | hskp18
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c3_1(X67)
          | ~ c2_1(X67)
          | c0_1(X67) ) )
    & ( hskp14
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | ~ c0_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp0
      | hskp15
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c1_1(X61)
          | c0_1(X61) ) )
    & ( hskp17
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c1_1(X60)
          | c3_1(X60)
          | c2_1(X60) )
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59) ) )
    & ( hskp16
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | c1_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c3_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp15
      | hskp4
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c1_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | c2_1(X54)
          | c1_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp13
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c2_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp14
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c1_1(X50)
          | ~ c0_1(X50)
          | c2_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c2_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c2_1(X47)
          | c3_1(X47)
          | c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c2_1(X46)
          | c3_1(X46)
          | c0_1(X46) ) )
    & ( hskp4
      | hskp13
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c3_1(X45)
          | c0_1(X45) ) )
    & ( hskp12
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c0_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c3_1(X43)
          | c0_1(X43) ) )
    & ( hskp0
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c2_1(X39)
          | ~ c0_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c3_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp11
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( hskp3
      | hskp28
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp10
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c1_1(X34)
          | c3_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c1_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp1
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c3_1(X32)
          | c2_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp9
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp8
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c0_1(X28)
          | c2_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) ) )
    & ( hskp7
      | hskp6
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c3_1(X26)
          | c1_1(X26)
          | c0_1(X26) ) )
    & ( hskp5
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c2_1(X25)
          | ~ c1_1(X25)
          | ~ c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( hskp4
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | c3_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp0
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | c2_1(X21) )
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | ~ c2_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp3
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c1_1(X10)
          | c0_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( hskp2
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | ~ c0_1(X8)
          | c1_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c1_1(X5)
          | c3_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | ! [X3] :
          ( ~ ndr1_0
          | ~ c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) )
      | ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c1_1(X2)
          | c0_1(X2) ) )
    & ( hskp0
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | ~ c2_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a2597)
        & c1_1(a2597)
        & c0_1(a2597)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a2558)
        & c1_1(a2558)
        & c0_1(a2558)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2556)
        & c2_1(a2556)
        & c1_1(a2556)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2529)
        & c2_1(a2529)
        & c0_1(a2529)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a2614)
        & ~ c2_1(a2614)
        & c1_1(a2614)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2601)
        & c3_1(a2601)
        & c0_1(a2601)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2564)
        & ~ c1_1(a2564)
        & c0_1(a2564)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2555)
        & c2_1(a2555)
        & c0_1(a2555)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a2553)
        & ~ c1_1(a2553)
        & c0_1(a2553)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2552)
        & ~ c1_1(a2552)
        & c2_1(a2552)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a2551)
        & c1_1(a2551)
        & c0_1(a2551)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2549)
        & ~ c0_1(a2549)
        & c2_1(a2549)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a2548)
        & c3_1(a2548)
        & c0_1(a2548)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c0_1(a2545)
        & c2_1(a2545)
        & c1_1(a2545)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a2541)
        & ~ c1_1(a2541)
        & c3_1(a2541)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2540)
        & ~ c2_1(a2540)
        & c0_1(a2540)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2539)
        & ~ c0_1(a2539)
        & c3_1(a2539)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c3_1(a2536)
        & ~ c1_1(a2536)
        & ~ c0_1(a2536)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a2534)
        & ~ c0_1(a2534)
        & c1_1(a2534)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2533)
        & ~ c2_1(a2533)
        & ~ c1_1(a2533)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a2531)
        & c2_1(a2531)
        & c1_1(a2531)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2528)
        & ~ c0_1(a2528)
        & c3_1(a2528)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a2526)
        & c3_1(a2526)
        & c1_1(a2526)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2525)
        & c2_1(a2525)
        & c0_1(a2525)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2524)
        & c3_1(a2524)
        & c1_1(a2524)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2523)
        & c1_1(a2523)
        & c0_1(a2523)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a2522)
        & c3_1(a2522)
        & c2_1(a2522)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a2521)
        & c3_1(a2521)
        & c2_1(a2521)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2519)
        & ~ c2_1(a2519)
        & ~ c0_1(a2519)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2518)
        & ~ c0_1(a2518)
        & c1_1(a2518)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2517)
        & ~ c0_1(a2517)
        & c2_1(a2517)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a2516)
        & ~ c1_1(a2516)
        & ~ c0_1(a2516)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f8,plain,
    ( hskp27
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp0
    | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp16
    | hskp19
    | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp20
    | hskp2
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp1
    | hskp18
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp26
    | hskp21
    | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X119] :
      ( hskp20
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X119)
      | ~ c2_1(X119)
      | ~ c0_1(X119) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X115] :
      ( hskp20
      | hskp25
      | ~ ndr1_0
      | ~ c2_1(X115)
      | ~ c0_1(X115)
      | c3_1(X115) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X114] :
      ( hskp10
      | hskp29
      | ~ ndr1_0
      | ~ c1_1(X114)
      | ~ c0_1(X114)
      | c3_1(X114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X109] :
      ( hskp25
      | hskp24
      | ~ ndr1_0
      | ~ c1_1(X109)
      | ~ c0_1(X109)
      | c2_1(X109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X108] :
      ( hskp9
      | hskp30
      | ~ ndr1_0
      | ~ c1_1(X108)
      | ~ c0_1(X108)
      | c2_1(X108) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X106] :
      ( hskp16
      | hskp19
      | ~ ndr1_0
      | ~ c0_1(X106)
      | c3_1(X106)
      | c2_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X101] :
      ( hskp7
      | hskp8
      | ~ ndr1_0
      | ~ c3_1(X101)
      | ~ c2_1(X101)
      | c1_1(X101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X98] :
      ( hskp22
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X98)
      | ~ c0_1(X98)
      | c1_1(X98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X91] :
      ( hskp0
      | hskp18
      | ~ ndr1_0
      | ~ c2_1(X91)
      | ~ c0_1(X91)
      | c1_1(X91) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X77] :
      ( hskp1
      | hskp23
      | ~ ndr1_0
      | ~ c0_1(X77)
      | c2_1(X77)
      | c1_1(X77) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X76] :
      ( hskp22
      | hskp21
      | ~ ndr1_0
      | ~ c0_1(X76)
      | c2_1(X76)
      | c1_1(X76) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ! [X70] :
      ( hskp20
      | hskp19
      | ~ ndr1_0
      | c3_1(X70)
      | c2_1(X70)
      | c1_1(X70) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ! [X56] :
      ( hskp15
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | c0_1(X56) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ! [X45] :
      ( hskp4
      | hskp13
      | ~ ndr1_0
      | ~ c1_1(X45)
      | c3_1(X45)
      | c0_1(X45) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X26] :
      ( hskp7
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X26)
      | c1_1(X26)
      | c0_1(X26) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c2_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c3_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c2_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c1_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c2_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c3_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c0_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f105,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c2_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c1_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c0_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c1_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( c2_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c0_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c1_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c0_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c1_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c2_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c2_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c1_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f125,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c1_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c0_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c2_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c3_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c0_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c0_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c2_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c1_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c1_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c3_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c2_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c2_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c0_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c3_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c2_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c0_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c1_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c3_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c2_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c1_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c1_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c0_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c3_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c0_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( c3_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c1_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c3_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c2_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c0_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c3_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c1_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c1_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c0_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c0_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c3_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c2_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c1_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c3_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c2_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c3_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c0_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c1_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c3_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c0_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c2_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f206,plain,
    ( ~ c2_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f207,plain,
    ( ~ c1_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f208,plain,
    ( ~ c0_1(a2516)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a2516) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a2516) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a2516) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_54,negated_conjecture,
    ( c2_1(a2517)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2517) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2517) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_58,negated_conjecture,
    ( c1_1(a2518)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a2518) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a2518) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_66,negated_conjecture,
    ( c2_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_67,negated_conjecture,
    ( c3_1(a2521)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a2521) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_70,negated_conjecture,
    ( c2_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a2522)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a2522) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_75,negated_conjecture,
    ( c1_1(a2523)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a2523) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_78,negated_conjecture,
    ( c1_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_79,negated_conjecture,
    ( c3_1(a2524)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a2524) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_82,negated_conjecture,
    ( c0_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_83,negated_conjecture,
    ( c2_1(a2525)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a2525) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_86,negated_conjecture,
    ( c1_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_87,negated_conjecture,
    ( c3_1(a2526)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a2526) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_90,negated_conjecture,
    ( c3_1(a2528)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a2528) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a2528) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_94,negated_conjecture,
    ( c1_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_95,negated_conjecture,
    ( c2_1(a2531)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a2531) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_102,negated_conjecture,
    ( c1_1(a2534)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a2534) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a2534) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_110,negated_conjecture,
    ( c3_1(a2539)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a2539) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a2539) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_114,negated_conjecture,
    ( c0_1(a2540)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a2540) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a2540) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_118,negated_conjecture,
    ( c3_1(a2541)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a2541) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a2541) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_122,negated_conjecture,
    ( c1_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_123,negated_conjecture,
    ( c2_1(a2545)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a2545) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_126,negated_conjecture,
    ( c0_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a2548)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a2548) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_130,negated_conjecture,
    ( c2_1(a2549)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a2549) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a2549) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_133,negated_conjecture,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_135,negated_conjecture,
    ( c1_1(a2551)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a2551) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_138,negated_conjecture,
    ( c2_1(a2552)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a2552) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a2552) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a2553)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a2553) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a2553) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_146,negated_conjecture,
    ( c0_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_147,negated_conjecture,
    ( c2_1(a2555)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a2555) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a2564)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a2564) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a2564) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_153,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_155,negated_conjecture,
    ( c3_1(a2601)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a2601) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_158,negated_conjecture,
    ( c1_1(a2614)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_159,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a2614) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_160,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a2614) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_166,negated_conjecture,
    ( c1_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_167,negated_conjecture,
    ( c2_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a2556)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_171,negated_conjecture,
    ( c1_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_172,negated_conjecture,
    ( c2_1(a2558)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f60]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp21
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp0
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f247]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp9
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp24
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f250]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_239,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_240,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp20
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_243,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp6
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_245,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp21 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_246,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp1 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_247,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp2 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_248,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp6 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_249,negated_conjecture,
    ( hskp24
    | hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_250,negated_conjecture,
    ( hskp27
    | hskp23 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_263,plain,
    ( hskp7
    | hskp6
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ ndr1_0
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_188]) ).

tcf(c_282,plain,
    ( hskp11
    | c2_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ ndr1_0
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_194]) ).

tcf(c_286,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_245,c_169,c_153,c_133]) ).

tcf(c_350,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_245,c_169,c_153,c_133,c_211]) ).

tcf(c_356,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp16
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_245,c_169,c_153,c_133,c_233]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_245,c_169,c_153,c_133,c_215]) ).

tcf(c_371,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp21
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_245,c_169,c_153,c_133,c_214]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_245,c_169,c_153,c_133,c_198]) ).

tcf(c_386,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp20
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_240,c_245,c_169,c_153,c_133,c_240]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp20
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_386]) ).

tcf(c_389,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_245,c_169,c_153,c_133,c_239]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp10
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_389]) ).

tcf(c_392,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp24
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_245,c_169,c_153,c_133,c_236]) ).

tcf(c_393,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp24
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_392]) ).

tcf(c_395,plain,
    ! [X0: $i] :
      ( hskp30
      | hskp9
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_245,c_169,c_153,c_133,c_235]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i] :
      ( hskp30
      | hskp9
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_395]) ).

tcf(c_398,plain,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_245,c_169,c_153,c_133,c_230]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp7
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_398]) ).

tcf(c_401,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp5
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_245,c_169,c_153,c_133,c_228]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp5
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_401]) ).

tcf(c_404,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp0
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_245,c_169,c_153,c_133,c_224]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp0
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_404]) ).

tcf(c_416,plain,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_245,c_169,c_153,c_133,c_203]) ).

tcf(c_417,negated_conjecture,
    ! [X0: $i] :
      ( hskp15
      | hskp4
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_416]) ).

tcf(c_422,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp6
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_243,c_245,c_169,c_153,c_133,c_243]) ).

tcf(c_423,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp6
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_422]) ).

tcf(c_425,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_245,c_169,c_153,c_133,c_191]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_245,c_169,c_153,c_133,c_190]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_245,c_169,c_153,c_133,c_189]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | c1_1(X1)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_245,c_169,c_153,c_133,c_216,c_229]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_441,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_245,c_169,c_153,c_133,c_213]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_441]) ).

tcf(c_445,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_245,c_169,c_153,c_133,c_194]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_445]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_245,c_169,c_153,c_133,c_180]) ).

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

tcf(c_457,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_245,c_169,c_153,c_133,c_231]) ).

tcf(c_458,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_457]) ).

tcf(c_460,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_440]) ).

tcf(c_461,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_460]) ).

tcf(c_462,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_245,c_169,c_153,c_133,c_218]) ).

tcf(c_463,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_462]) ).

tcf(c_464,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_245,c_169,c_153,c_133,c_205]) ).

tcf(c_465,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_464]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_245,c_169,c_153,c_133,c_201]) ).

tcf(c_467,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_466]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_245,c_169,c_153,c_133,c_185]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_245,c_169,c_153,c_133,c_232]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c3_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_245,c_169,c_153,c_133,c_226]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_245,c_169,c_153,c_133,c_225]) ).

tcf(c_483,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_482]) ).

tcf(c_484,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_245,c_169,c_153,c_133,c_204]) ).

tcf(c_485,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_484]) ).

tcf(c_488,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_245,c_169,c_153,c_133,c_238]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_490,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_245,c_169,c_153,c_133,c_237]) ).

tcf(c_491,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_490]) ).

tcf(c_503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_179,c_286]) ).

tcf(c_504,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_503]) ).

tcf(c_505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_245,c_169,c_153,c_133,c_212]) ).

tcf(c_506,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_505]) ).

tcf(c_507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_245,c_169,c_153,c_133,c_184]) ).

tcf(c_508,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_507]) ).

tcf(c_509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_245,c_169,c_153,c_133,c_183]) ).

tcf(c_510,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_509]) ).

tcf(c_511,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_245,c_169,c_153,c_133,c_181]) ).

tcf(c_512,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_511]) ).

tcf(c_513,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_245,c_169,c_153,c_133,c_217]) ).

tcf(c_514,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_513]) ).

tcf(c_515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_245,c_169,c_153,c_133,c_195]) ).

tcf(c_516,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_515]) ).

tcf(c_517,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_245,c_169,c_153,c_133,c_207]) ).

tcf(c_518,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_517]) ).

tcf(c_1825,plain,
    ( hskp30
    | hskp21
    | ~ c2_1(a2601) ),
    inference(resolution,[status(thm)],[c_245,c_156]) ).

tcf(c_1835,plain,
    ( hskp30
    | hskp21
    | c3_1(a2601) ),
    inference(resolution,[status(thm)],[c_245,c_155]) ).

tcf(c_1845,plain,
    ( hskp30
    | hskp21
    | c0_1(a2601) ),
    inference(resolution,[status(thm)],[c_245,c_154]) ).

tcf(c_1894,plain,
    ( hskp23
    | ~ c3_1(a2614) ),
    inference(resolution,[status(thm)],[c_250,c_160]) ).

tcf(c_1901,plain,
    ( hskp23
    | ~ c2_1(a2614) ),
    inference(resolution,[status(thm)],[c_250,c_159]) ).

tcf(c_1908,plain,
    ( hskp23
    | c1_1(a2614) ),
    inference(resolution,[status(thm)],[c_250,c_158]) ).

tcf(c_1996,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(a2531)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_446,c_96]) ).

tcf(c_1997,plain,
    ( c2_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ c3_1(a2531)
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_1996]) ).

tcf(c_2019,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(a2531)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_446,c_95]) ).

tcf(c_2020,plain,
    ( c2_1(a2531)
    | c2_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_2019]) ).

tcf(c_2042,plain,
    ! [X0: $i,X1: $i] :
      ( c1_1(a2531)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(resolution,[status(thm)],[c_446,c_94]) ).

tcf(c_2043,plain,
    ( c2_1(a2516)
    | c1_1(a2531)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_2042]) ).

tcf(c_2947,plain,
    ! [X0: $i] :
      ( hskp20
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(a2548) ),
    inference(resolution,[status(thm)],[c_350,c_128]) ).

tcf(c_2948,plain,
    ( hskp20
    | c3_1(a2516)
    | c2_1(a2516)
    | c1_1(a2516)
    | ~ c1_1(a2548) ),
    inference(instantiation,[status(thm)],[c_2947]) ).

tcf(c_2964,plain,
    ! [X0: $i] :
      ( hskp20
      | c3_1(a2548)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_350,c_127]) ).

tcf(c_2965,plain,
    ( hskp20
    | c3_1(a2548)
    | c3_1(a2516)
    | c2_1(a2516)
    | c1_1(a2516) ),
    inference(instantiation,[status(thm)],[c_2964]) ).

tcf(c_2981,plain,
    ! [X0: $i] :
      ( hskp20
      | c0_1(a2548)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_350,c_126]) ).

tcf(c_2982,plain,
    ( hskp20
    | c3_1(a2516)
    | c2_1(a2516)
    | c1_1(a2516)
    | c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_2981]) ).

tcf(c_2998,plain,
    ( hskp16
    | hskp6
    | ~ c1_1(a2548) ),
    inference(resolution,[status(thm)],[c_248,c_128]) ).

tcf(c_3008,plain,
    ( hskp16
    | hskp6
    | c3_1(a2548) ),
    inference(resolution,[status(thm)],[c_248,c_127]) ).

tcf(c_3018,plain,
    ( hskp16
    | hskp6
    | c0_1(a2548) ),
    inference(resolution,[status(thm)],[c_248,c_126]) ).

tcf(c_3544,plain,
    ( hskp19
    | hskp6
    | ~ c3_1(a2540) ),
    inference(resolution,[status(thm)],[c_248,c_116]) ).

tcf(c_3554,plain,
    ( hskp19
    | hskp6
    | ~ c2_1(a2540) ),
    inference(resolution,[status(thm)],[c_248,c_115]) ).

tcf(c_3564,plain,
    ( hskp19
    | hskp6
    | c0_1(a2540) ),
    inference(resolution,[status(thm)],[c_248,c_114]) ).

tcf(c_5608,plain,
    ( hskp21
    | hskp1
    | ~ c0_1(a2545) ),
    inference(resolution,[status(thm)],[c_246,c_124]) ).

tcf(c_5618,plain,
    ( hskp21
    | hskp1
    | c2_1(a2545) ),
    inference(resolution,[status(thm)],[c_246,c_123]) ).

tcf(c_5628,plain,
    ( hskp21
    | hskp1
    | c1_1(a2545) ),
    inference(resolution,[status(thm)],[c_246,c_122]) ).

tcf(c_5851,plain,
    ! [X0: $i] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c1_1(a2549) ),
    inference(resolution,[status(thm)],[c_350,c_132]) ).

tcf(c_5852,plain,
    ( hskp19
    | c3_1(a2516)
    | c2_1(a2516)
    | c1_1(a2516)
    | ~ c1_1(a2549) ),
    inference(instantiation,[status(thm)],[c_5851]) ).

tcf(c_5868,plain,
    ! [X0: $i] :
      ( hskp19
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(a2549) ),
    inference(resolution,[status(thm)],[c_350,c_131]) ).

tcf(c_5869,plain,
    ( hskp19
    | c3_1(a2516)
    | c2_1(a2516)
    | c1_1(a2516)
    | ~ c0_1(a2549) ),
    inference(instantiation,[status(thm)],[c_5868]) ).

tcf(c_5885,plain,
    ! [X0: $i] :
      ( hskp19
      | c2_1(a2549)
      | c3_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(resolution,[status(thm)],[c_350,c_130]) ).

tcf(c_5886,plain,
    ( hskp19
    | c3_1(a2516)
    | c2_1(a2549)
    | c2_1(a2516)
    | c1_1(a2516) ),
    inference(instantiation,[status(thm)],[c_5885]) ).

tcf(c_6526,plain,
    ( hskp21
    | hskp20
    | ~ c3_1(a2518) ),
    inference(resolution,[status(thm)],[c_247,c_60]) ).

tcf(c_6546,plain,
    ( hskp21
    | hskp20
    | c1_1(a2518) ),
    inference(resolution,[status(thm)],[c_247,c_58]) ).

tcf(c_8326,plain,
    ( hskp24
    | ~ c2_1(a2516) ),
    inference(resolution,[status(thm)],[c_249,c_52]) ).

tcf(c_8333,plain,
    ( hskp24
    | ~ c1_1(a2516) ),
    inference(resolution,[status(thm)],[c_249,c_51]) ).

tcf(c_8340,plain,
    ( hskp24
    | ~ c0_1(a2516) ),
    inference(resolution,[status(thm)],[c_249,c_50]) ).

tcf(c_17037,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_518]) ).

tcf(c_17038,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_518]) ).

tcf(c_17039,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_518]) ).

tcf(c_17040,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

tcf(c_17041,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_516]) ).

tcf(c_17042,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_516]) ).

tcf(c_17043,negated_conjecture,
    ( iPr_def_14
    | iPr_def_13
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_516]) ).

tcf(c_17044,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_514]) ).

tcf(c_17045,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_514]) ).

tcf(c_17046,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_514]) ).

tcf(c_17047,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_514]) ).

tcf(c_17048,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_512]) ).

tcf(c_17049,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_512]) ).

tcf(c_17050,negated_conjecture,
    ( iPr_def_19
    | iPr_def_18
    | iPr_def_14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_512]) ).

tcf(c_17051,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_510]) ).

tcf(c_17052,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).

tcf(c_17053,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_508]) ).

tcf(c_17054,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

tcf(c_17055,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_506]) ).

tcf(c_17056,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_506]) ).

tcf(c_17057,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_506]) ).

tcf(c_17058,negated_conjecture,
    ( iPr_def_24
    | iPr_def_23
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).

tcf(c_17059,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_504]) ).

tcf(c_17060,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_504]) ).

tcf(c_17061,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_504]) ).

tcf(c_17062,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_25 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_504]) ).

tcf(c_17071,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_491]) ).

tcf(c_17072,negated_conjecture,
    ( iPr_def_31
    | iPr_def_10
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

tcf(c_17073,negated_conjecture,
    ( iPr_def_31
    | iPr_def_15
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

tcf(c_17076,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_485]) ).

tcf(c_17077,negated_conjecture,
    ( iPr_def_33
    | iPr_def_14
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

tcf(c_17078,negated_conjecture,
    ( iPr_def_21
    | iPr_def_17
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

tcf(c_17079,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_481]) ).

tcf(c_17080,negated_conjecture,
    ( iPr_def_34
    | iPr_def_21
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_17081,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_479]) ).

tcf(c_17082,negated_conjecture,
    ( iPr_def_35
    | iPr_def_12
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

tcf(c_17084,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_475]) ).

tcf(c_17089,negated_conjecture,
    ( iPr_def_24
    | iPr_def_18
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

tcf(c_17090,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_465]) ).

tcf(c_17091,negated_conjecture,
    ( iPr_def_37
    | iPr_def_33
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_465]) ).

tcf(c_17092,negated_conjecture,
    ( iPr_def_34
    | iPr_def_16
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_463]) ).

tcf(c_17093,negated_conjecture,
    ( iPr_def_35
    | iPr_def_17
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

tcf(c_17096,negated_conjecture,
    ( iPr_def_26
    | iPr_def_14
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_17100,negated_conjecture,
    ( iPr_def_16
    | iPr_def_13
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

tcf(c_17103,negated_conjecture,
    ( iPr_def_37
    | iPr_def_24
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

tcf(c_17104,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_461]) ).

tcf(c_17105,negated_conjecture,
    ( iPr_def_41
    | iPr_def_35
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_461]) ).

tcf(c_17108,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_42
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_42])],[c_431]) ).

tcf(c_17109,negated_conjecture,
    ( iPr_def_42
    | iPr_def_24
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_17110,negated_conjecture,
    ( iPr_def_42
    | iPr_def_37
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

tcf(c_17111,negated_conjecture,
    ( iPr_def_42
    | iPr_def_37
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_425]) ).

tcf(c_17112,negated_conjecture,
    ( iPr_def_10
    | hskp20
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_423]) ).

tcf(c_17114,negated_conjecture,
    ( iPr_def_18
    | hskp15
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_417]) ).

tcf(c_17118,negated_conjecture,
    ( iPr_def_14
    | hskp18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_405]) ).

tcf(c_17119,negated_conjecture,
    ( iPr_def_21
    | hskp22
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

tcf(c_17120,negated_conjecture,
    ( iPr_def_22
    | hskp8
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

tcf(c_17121,negated_conjecture,
    ( iPr_def_36
    | hskp30
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_396]) ).

tcf(c_17122,negated_conjecture,
    ( iPr_def_36
    | hskp25
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_393]) ).

tcf(c_17123,negated_conjecture,
    ( iPr_def_17
    | hskp29
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_390]) ).

tcf(c_17124,negated_conjecture,
    ( iPr_def_20
    | hskp25
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

tcf(c_17128,negated_conjecture,
    ( iPr_def_25
    | hskp13
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

tcf(c_17129,negated_conjecture,
    ( iPr_def_24
    | hskp22
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_371]) ).

tcf(c_17130,negated_conjecture,
    ( iPr_def_24
    | hskp23
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_368]) ).

tcf(c_17134,negated_conjecture,
    ( iPr_def_35
    | hskp19
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

tcf(c_17137,plain,
    ( c1_1(a2516)
    | ~ iPr_def_41
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17104]) ).

tcf(c_17138,plain,
    ( c3_1(a2516)
    | c1_1(a2516)
    | c0_1(a2516)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17060]) ).

tcf(c_17141,plain,
    ( c3_1(a2516)
    | c2_1(a2516)
    | c0_1(a2516)
    | ~ iPr_def_42 ),
    inference(instantiation,[status(thm)],[c_17108]) ).

tcf(c_17142,plain,
    ( c2_1(a2516)
    | c0_1(a2516)
    | ~ iPr_def_13
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17041]) ).

tcf(c_17143,plain,
    ( c2_1(a2516)
    | c1_1(a2516)
    | ~ iPr_def_16
    | ~ c3_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17045]) ).

tcf(c_17152,plain,
    ( c3_1(a2516)
    | c2_1(a2516)
    | ~ iPr_def_37
    | ~ c1_1(a2516) ),
    inference(instantiation,[status(thm)],[c_17090]) ).

tcf(c_17171,plain,
    ( c0_1(a2522)
    | ~ iPr_def_11
    | ~ c3_1(a2522)
    | ~ c2_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17038]) ).

tcf(c_17174,plain,
    ( c1_1(a2525)
    | ~ iPr_def_14
    | ~ c2_1(a2525)
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17042]) ).

tcf(c_17175,plain,
    ( c0_1(a2526)
    | ~ iPr_def_11
    | ~ c3_1(a2526)
    | ~ c2_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17038]) ).

tcf(c_17176,plain,
    ( c0_1(a2528)
    | ~ iPr_def_11
    | ~ c3_1(a2528)
    | ~ c2_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17038]) ).

tcf(c_17180,plain,
    ( c3_1(a2518)
    | c0_1(a2518)
    | ~ iPr_def_25
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17059]) ).

tcf(c_17186,plain,
    ( c1_1(a2548)
    | ~ iPr_def_21
    | ~ c3_1(a2548)
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17053]) ).

tcf(c_17187,plain,
    ( c1_1(a2548)
    | ~ iPr_def_14
    | ~ c2_1(a2548)
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17042]) ).

tcf(c_17193,plain,
    ( c1_1(a2553)
    | ~ iPr_def_14
    | ~ c2_1(a2553)
    | ~ c0_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17042]) ).

tcf(c_17194,plain,
    ( c1_1(a2555)
    | ~ iPr_def_21
    | ~ c3_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17053]) ).

tcf(c_17195,plain,
    ( c1_1(a2555)
    | ~ iPr_def_14
    | ~ c2_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17042]) ).

tcf(c_17196,plain,
    ( c1_1(a2564)
    | ~ iPr_def_21
    | ~ c3_1(a2564)
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17053]) ).

tcf(c_17198,plain,
    ( c3_1(a2614)
    | c0_1(a2614)
    | ~ iPr_def_25
    | ~ c1_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17059]) ).

tcf(c_17206,plain,
    ( c2_1(a2528)
    | c1_1(a2528)
    | ~ iPr_def_16
    | ~ c3_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17045]) ).

tcf(c_17207,plain,
    ( c2_1(a2541)
    | c1_1(a2541)
    | ~ iPr_def_16
    | ~ c3_1(a2541) ),
    inference(instantiation,[status(thm)],[c_17045]) ).

tcf(c_17210,plain,
    ( c1_1(a2521)
    | ~ iPr_def_22
    | ~ c3_1(a2521)
    | ~ c2_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17055]) ).

tcf(c_17214,plain,
    ( c1_1(a2555)
    | ~ iPr_def_22
    | ~ c3_1(a2555)
    | ~ c2_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17055]) ).

tcf(c_17216,plain,
    ( c3_1(a2517)
    | ~ iPr_def_34
    | ~ c2_1(a2517)
    | ~ c1_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17079]) ).

tcf(c_17219,plain,
    ( c3_1(a2525)
    | ~ iPr_def_34
    | ~ c2_1(a2525)
    | ~ c1_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17079]) ).

tcf(c_17220,plain,
    ( c3_1(a2545)
    | ~ iPr_def_34
    | ~ c2_1(a2545)
    | ~ c1_1(a2545) ),
    inference(instantiation,[status(thm)],[c_17079]) ).

tcf(c_17226,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a2551)
    | ~ c1_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17039]) ).

tcf(c_17230,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a2558)
    | ~ c1_1(a2558)
    | ~ c0_1(a2558) ),
    inference(instantiation,[status(thm)],[c_17039]) ).

tcf(c_17233,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a2522)
    | ~ c2_1(a2522)
    | ~ c1_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17044]) ).

tcf(c_17235,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a2545)
    | ~ c2_1(a2545)
    | ~ c1_1(a2545) ),
    inference(instantiation,[status(thm)],[c_17044]) ).

tcf(c_17240,plain,
    ( c2_1(a2548)
    | ~ iPr_def_23
    | ~ c3_1(a2548)
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17056]) ).

tcf(c_17241,plain,
    ( c2_1(a2551)
    | ~ iPr_def_23
    | ~ c3_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17056]) ).

tcf(c_17246,plain,
    ( c0_1(a2517)
    | ~ iPr_def_18
    | ~ c2_1(a2517)
    | ~ c1_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17048]) ).

tcf(c_17250,plain,
    ( c0_1(a2545)
    | ~ iPr_def_18
    | ~ c2_1(a2545)
    | ~ c1_1(a2545) ),
    inference(instantiation,[status(thm)],[c_17048]) ).

tcf(c_17253,plain,
    ( c1_1(a2517)
    | c0_1(a2517)
    | ~ iPr_def_19
    | ~ c2_1(a2517) ),
    inference(instantiation,[status(thm)],[c_17049]) ).

tcf(c_17254,plain,
    ( c1_1(a2521)
    | c0_1(a2521)
    | ~ iPr_def_19
    | ~ c2_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17049]) ).

tcf(c_17255,plain,
    ( c1_1(a2522)
    | c0_1(a2522)
    | ~ iPr_def_19
    | ~ c2_1(a2522) ),
    inference(instantiation,[status(thm)],[c_17049]) ).

tcf(c_17260,plain,
    ( c3_1(a2517)
    | c1_1(a2517)
    | c0_1(a2517)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_17060]) ).

tcf(c_17276,plain,
    ( c0_1(a2531)
    | ~ iPr_def_18
    | ~ c2_1(a2531)
    | ~ c1_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17048]) ).

tcf(c_17278,plain,
    ( c3_1(a2531)
    | ~ iPr_def_34
    | ~ c2_1(a2531)
    | ~ c1_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17079]) ).

tcf(c_17281,plain,
    ( c1_1(a2549)
    | c0_1(a2549)
    | ~ iPr_def_19
    | ~ c2_1(a2549) ),
    inference(instantiation,[status(thm)],[c_17049]) ).

tcf(c_17301,plain,
    ( c3_1(a2523)
    | ~ iPr_def_17
    | ~ c1_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17046]) ).

tcf(c_17302,plain,
    ( c3_1(a2525)
    | ~ iPr_def_17
    | ~ c1_1(a2525)
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17046]) ).

tcf(c_17303,plain,
    ( c3_1(a2540)
    | ~ iPr_def_17
    | ~ c1_1(a2540)
    | ~ c0_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17046]) ).

tcf(c_17305,plain,
    ( c3_1(a2551)
    | ~ iPr_def_17
    | ~ c1_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17046]) ).

tcf(c_17309,plain,
    ( c3_1(a2558)
    | ~ iPr_def_17
    | ~ c1_1(a2558)
    | ~ c0_1(a2558) ),
    inference(instantiation,[status(thm)],[c_17046]) ).

tcf(c_17314,plain,
    ( c3_1(a2525)
    | ~ iPr_def_20
    | ~ c2_1(a2525)
    | ~ c0_1(a2525) ),
    inference(instantiation,[status(thm)],[c_17051]) ).

tcf(c_17315,plain,
    ( c3_1(a2531)
    | ~ iPr_def_20
    | ~ c2_1(a2531)
    | ~ c0_1(a2531) ),
    inference(instantiation,[status(thm)],[c_17051]) ).

tcf(c_17317,plain,
    ( c3_1(a2555)
    | ~ iPr_def_20
    | ~ c2_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17051]) ).

tcf(c_17327,plain,
    ( c2_1(a2524)
    | ~ iPr_def_31
    | ~ c3_1(a2524)
    | ~ c1_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17071]) ).

tcf(c_17333,plain,
    ( c3_1(a2552)
    | ~ iPr_def_20
    | ~ c2_1(a2552)
    | ~ c0_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17051]) ).

tcf(c_17334,plain,
    ( c1_1(a2552)
    | c0_1(a2552)
    | ~ iPr_def_19
    | ~ c2_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17049]) ).

tcf(c_17341,plain,
    ( c2_1(a2524)
    | c0_1(a2524)
    | ~ iPr_def_13
    | ~ c3_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17041]) ).

tcf(c_17342,plain,
    ( c2_1(a2526)
    | c0_1(a2526)
    | ~ iPr_def_13
    | ~ c3_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17041]) ).

tcf(c_17343,plain,
    ( c2_1(a2528)
    | c0_1(a2528)
    | ~ iPr_def_13
    | ~ c3_1(a2528) ),
    inference(instantiation,[status(thm)],[c_17041]) ).

tcf(c_17354,plain,
    ( c2_1(a2601)
    | ~ iPr_def_23
    | ~ c3_1(a2601)
    | ~ c0_1(a2601) ),
    inference(instantiation,[status(thm)],[c_17056]) ).

tcf(c_17355,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a2601)
    | ~ c1_1(a2601)
    | ~ c0_1(a2601) ),
    inference(instantiation,[status(thm)],[c_17039]) ).

tcf(c_17356,plain,
    ( c1_1(a2601)
    | ~ iPr_def_21
    | ~ c3_1(a2601)
    | ~ c0_1(a2601) ),
    inference(instantiation,[status(thm)],[c_17053]) ).

tcf(c_17368,plain,
    ( c0_1(a2526)
    | ~ iPr_def_18
    | ~ c2_1(a2526)
    | ~ c1_1(a2526) ),
    inference(instantiation,[status(thm)],[c_17048]) ).

tcf(c_17386,plain,
    ( c2_1(a2540)
    | c1_1(a2540)
    | ~ iPr_def_24
    | ~ c0_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17057]) ).

tcf(c_17387,plain,
    ( c2_1(a2548)
    | c1_1(a2548)
    | ~ iPr_def_24
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17057]) ).

tcf(c_17391,plain,
    ( c2_1(a2564)
    | c1_1(a2564)
    | ~ iPr_def_24
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17057]) ).

tcf(c_17393,plain,
    ( c3_1(a2540)
    | c2_1(a2540)
    | ~ iPr_def_35
    | ~ c0_1(a2540) ),
    inference(instantiation,[status(thm)],[c_17081]) ).

tcf(c_17395,plain,
    ( c3_1(a2551)
    | c2_1(a2551)
    | ~ iPr_def_35
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17081]) ).

tcf(c_17396,plain,
    ( c3_1(a2553)
    | c2_1(a2553)
    | ~ iPr_def_35
    | ~ c0_1(a2553) ),
    inference(instantiation,[status(thm)],[c_17081]) ).

tcf(c_17398,plain,
    ( c3_1(a2564)
    | c2_1(a2564)
    | ~ iPr_def_35
    | ~ c0_1(a2564) ),
    inference(instantiation,[status(thm)],[c_17081]) ).

tcf(c_17400,plain,
    ( c3_1(a2518)
    | c2_1(a2518)
    | ~ iPr_def_37
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17090]) ).

tcf(c_17401,plain,
    ( c3_1(a2523)
    | c2_1(a2523)
    | ~ iPr_def_37
    | ~ c1_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17090]) ).

tcf(c_17405,plain,
    ( c3_1(a2534)
    | c2_1(a2534)
    | ~ iPr_def_37
    | ~ c1_1(a2534) ),
    inference(instantiation,[status(thm)],[c_17090]) ).

tcf(c_17407,plain,
    ( c3_1(a2614)
    | c2_1(a2614)
    | ~ iPr_def_37
    | ~ c1_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17090]) ).

tcf(c_17416,plain,
    ( c2_1(a2539)
    | c0_1(a2539)
    | ~ iPr_def_13
    | ~ c3_1(a2539) ),
    inference(instantiation,[status(thm)],[c_17041]) ).

tcf(c_17451,plain,
    ( c2_1(a2524)
    | ~ iPr_def_23
    | ~ c3_1(a2524)
    | ~ c0_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17056]) ).

tcf(c_17452,plain,
    ( ~ iPr_def_12
    | ~ c3_1(a2524)
    | ~ c1_1(a2524)
    | ~ c0_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17039]) ).

tcf(c_17483,plain,
    ( c1_1(a2552)
    | ~ iPr_def_14
    | ~ c2_1(a2552)
    | ~ c0_1(a2552) ),
    inference(instantiation,[status(thm)],[c_17042]) ).

tcf(c_17506,plain,
    ( c2_1(a2523)
    | ~ iPr_def_36
    | ~ c1_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17084]) ).

tcf(c_17508,plain,
    ( c2_1(a2614)
    | ~ iPr_def_36
    | ~ c1_1(a2614)
    | ~ c0_1(a2614) ),
    inference(instantiation,[status(thm)],[c_17084]) ).

tcf(c_17523,plain,
    ( c1_1(a2521)
    | ~ iPr_def_14
    | ~ c2_1(a2521)
    | ~ c0_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17042]) ).

tcf(c_17524,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a2548)
    | ~ c2_1(a2548)
    | ~ c0_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17037]) ).

tcf(c_17530,plain,
    ( c2_1(a2551)
    | ~ iPr_def_36
    | ~ c1_1(a2551)
    | ~ c0_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17084]) ).

tcf(c_17531,plain,
    ( c3_1(a2551)
    | c2_1(a2551)
    | ~ iPr_def_37
    | ~ c1_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17090]) ).

tcf(c_17552,plain,
    ( c2_1(a2551)
    | ~ iPr_def_31
    | ~ c3_1(a2551)
    | ~ c1_1(a2551) ),
    inference(instantiation,[status(thm)],[c_17071]) ).

tcf(c_17560,plain,
    ( c1_1(a2548)
    | ~ iPr_def_22
    | ~ c3_1(a2548)
    | ~ c2_1(a2548) ),
    inference(instantiation,[status(thm)],[c_17055]) ).

tcf(c_17609,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a2555)
    | ~ c2_1(a2555)
    | ~ c0_1(a2555) ),
    inference(instantiation,[status(thm)],[c_17037]) ).

tcf(c_17624,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a2521)
    | ~ c2_1(a2521)
    | ~ c0_1(a2521) ),
    inference(instantiation,[status(thm)],[c_17037]) ).

tcf(c_17640,plain,
    ( c0_1(a2524)
    | ~ iPr_def_33
    | ~ c3_1(a2524)
    | ~ c1_1(a2524) ),
    inference(instantiation,[status(thm)],[c_17076]) ).

tcf(c_17647,plain,
    ( c3_1(a2523)
    | c2_1(a2523)
    | ~ iPr_def_35
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17081]) ).

tcf(c_17703,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a2556)
    | ~ c1_1(a2556)
    | ~ c0_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17061]) ).

tcf(c_17706,plain,
    ( c0_1(a2556)
    | ~ iPr_def_18
    | ~ c2_1(a2556)
    | ~ c1_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17048]) ).

tcf(c_17707,plain,
    ( ~ iPr_def_15
    | ~ c3_1(a2556)
    | ~ c2_1(a2556)
    | ~ c1_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17044]) ).

tcf(c_17710,plain,
    ( c0_1(a2556)
    | ~ iPr_def_33
    | ~ c3_1(a2556)
    | ~ c1_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17076]) ).

tcf(c_17711,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a2556)
    | ~ c2_1(a2556)
    | ~ c0_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17037]) ).

tcf(c_17712,plain,
    ( c0_1(a2556)
    | ~ iPr_def_11
    | ~ c3_1(a2556)
    | ~ c2_1(a2556) ),
    inference(instantiation,[status(thm)],[c_17038]) ).

tcf(c_17762,plain,
    ( c0_1(a2518)
    | ~ iPr_def_18
    | ~ c2_1(a2518)
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17048]) ).

tcf(c_17764,plain,
    ( c3_1(a2518)
    | ~ iPr_def_34
    | ~ c2_1(a2518)
    | ~ c1_1(a2518) ),
    inference(instantiation,[status(thm)],[c_17079]) ).

tcf(c_17767,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a2523)
    | ~ c1_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17061]) ).

tcf(c_17768,plain,
    ( c3_1(a2523)
    | ~ iPr_def_20
    | ~ c2_1(a2523)
    | ~ c0_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17051]) ).

tcf(c_17772,plain,
    ( c3_1(a2523)
    | ~ iPr_def_34
    | ~ c2_1(a2523)
    | ~ c1_1(a2523) ),
    inference(instantiation,[status(thm)],[c_17079]) ).

tcf(c_17795,plain,
    ( c0_1(a2534)
    | ~ iPr_def_33
    | ~ c3_1(a2534)
    | ~ c1_1(a2534) ),
    inference(instantiation,[status(thm)],[c_17076]) ).

tcf(c_17800,plain,
    ( c2_1(a2534)
    | c0_1(a2534)
    | ~ iPr_def_13
    | ~ c3_1(a2534) ),
    inference(instantiation,[status(thm)],[c_17041]) ).

tcf(c_17811,plain,
    ( ~ iPr_def_27
    | ~ c2_1(a2558)
    | ~ c1_1(a2558)
    | ~ c0_1(a2558) ),
    inference(instantiation,[status(thm)],[c_17061]) ).

tcf(c_17825,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17811,c_17795,c_17800,c_17767,c_17768,c_17772,c_17762,c_17764,c_17710,c_17711,c_17712,c_17703,c_17706,c_17707,c_17647,c_17640,c_17624,c_17609,c_17560,c_17552,c_17530,c_17531,c_17524,c_17523,c_17508,c_17506,c_17483,c_17451,c_17452,c_17416,c_17407,c_17405,c_17401,c_17400,c_17398,c_17396,c_17395,c_17393,c_17391,c_17387,c_17386,c_17368,c_17354,c_17355,c_17356,c_17343,c_17342,c_17341,c_17333,c_17334,c_17327,c_17317,c_17315,c_17314,c_17309,c_17305,c_17303,c_17302,c_17301,c_17281,c_17276,c_17278,c_17260,c_17255,c_17254,c_17253,c_17250,c_17246,c_17241,c_17240,c_17235,c_17233,c_17230,c_17226,c_17220,c_17219,c_17216,c_17214,c_17210,c_17207,c_17206,c_17198,c_17196,c_17194,c_17195,c_17193,c_17186,c_17187,c_17180,c_17176,c_17175,c_17174,c_17171,c_17152,c_17143,c_17142,c_17141,c_17138,c_17137,c_17134,c_17130,c_17129,c_17128,c_17124,c_17123,c_17122,c_17121,c_17120,c_17119,c_17118,c_17114,c_17112,c_17111,c_17110,c_17109,c_17105,c_17103,c_17100,c_17096,c_17093,c_17092,c_17091,c_17089,c_17082,c_17080,c_17078,c_17077,c_17073,c_17072,c_17062,c_17058,c_17054,c_17052,c_17050,c_17047,c_17043,c_17040,c_8340,c_8333,c_8326,c_6546,c_6526,c_5886,c_5869,c_5852,c_5628,c_5618,c_5608,c_3564,c_3554,c_3544,c_3018,c_3008,c_2998,c_2982,c_2965,c_2948,c_2043,c_2020,c_1997,c_1908,c_1901,c_1894,c_1845,c_1835,c_1825,c_286,c_282,c_263,c_50,c_51,c_52,c_55,c_56,c_59,c_60,c_68,c_72,c_76,c_80,c_84,c_88,c_91,c_92,c_96,c_103,c_104,c_111,c_112,c_115,c_116,c_119,c_120,c_124,c_128,c_131,c_132,c_136,c_139,c_140,c_143,c_144,c_148,c_151,c_152,c_54,c_58,c_66,c_67,c_70,c_71,c_74,c_75,c_78,c_79,c_82,c_83,c_86,c_87,c_90,c_94,c_95,c_102,c_110,c_114,c_118,c_122,c_123,c_126,c_127,c_130,c_134,c_135,c_138,c_142,c_146,c_147,c_150,c_166,c_167,c_168,c_170,c_171,c_172,c_247,c_249]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN489+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37  % Computer : n003.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Fri Sep 25 01:32:51 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  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
% 0.09/0.43  
% 0.09/0.43  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43  
% 0.09/0.43  % Detected problem language: tptp
% 0.09/0.44  % Proving...
% 3.55/1.20  % SZS status Started for theBenchmark.p
% 3.55/1.20  % SZS status Theorem for theBenchmark.p
% 3.55/1.20  
% 3.55/1.20  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.55/1.20  
% 3.55/1.20  % ------  iProver source info
% 3.55/1.20  
% 3.55/1.20  % git: date: 2026-07-19 20:42:38 +0200
% 3.55/1.20  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.55/1.20  % git: non_committed_changes: false
% 3.55/1.20  
% 3.55/1.20  % ------ Parsing...
% 3.55/1.20  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.55/1.20  
% 3.55/1.20  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.55/1.20  
% 3.55/1.20  % ------ Preprocessing... gs_s  sp: 119 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.55/1.20  % ------ Proving...
% 3.55/1.20  % ------ Problem Properties 
% 3.55/1.20  
% 3.55/1.20  % 
% 3.55/1.20  % clauses                               203
% 3.55/1.20  % conjectures                           200
% 3.55/1.20  % EPR                                   203
% 3.55/1.20  % Horn                                  110
% 3.55/1.20  % unary                                 0
% 3.55/1.20  % binary                                95
% 3.55/1.20  % lits                                  546
% 3.55/1.20  % lits eq                               0
% 3.55/1.20  % fd_pure                               0
% 3.55/1.20  % fd_pseudo                             0
% 3.55/1.20  % fd_cond                               0
% 3.55/1.20  % fd_pseudo_cond                        0
% 3.55/1.20  % AC symbols                            0
% 3.55/1.20  
% 3.55/1.20  % ------ Input Options Time Limit: Unbounded
% 3.55/1.20  
% 3.55/1.20  
% 3.55/1.20  % ------ 
% 3.55/1.20  % Current options:
% 3.55/1.20  % ------ 
% 3.55/1.20  
% 3.55/1.20  
% 3.55/1.20  % 
% 3.55/1.20  
% 3.55/1.20  % ------ Proving...
% 3.55/1.20  % 
% 3.55/1.20  
% 3.55/1.20  % SZS status Theorem for theBenchmark.p
% 3.55/1.20  
% 3.55/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.35/1.21  
% 1.35/1.21  
%------------------------------------------------------------------------------