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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN501+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 : n020.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 03:40:34 PM UTC 2026

% Result   : Theorem 4.46s 1.28s
% Output   : CNFRefutation 4.46s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f216ERROR: Could not build tree for root c_9616ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp15
        | hskp8
        | hskp19 )
      & ( hskp8
        | hskp10
        | hskp16 )
      & ( hskp15
        | hskp6
        | hskp16 )
      & ( hskp15
        | hskp8
        | hskp22 )
      & ( hskp11
        | hskp0
        | hskp22 )
      & ( hskp5
        | hskp25
        | hskp26 )
      & ( hskp17
        | hskp19
        | hskp18 )
      & ( hskp20
        | hskp4
        | hskp18 )
      & ( hskp8
        | hskp18
        | hskp13 )
      & ( hskp13
        | hskp12 )
      & ( hskp2
        | hskp9
        | hskp27 )
      & ( hskp22
        | hskp4
        | hskp28 )
      & ( hskp9
        | hskp1
        | ! [X120] :
            ( ndr1_0
           => ( ~ c3_1(X120)
              | ~ c2_1(X120)
              | ~ c0_1(X120) ) ) )
      & ( hskp29
        | hskp27
        | ! [X119] :
            ( ndr1_0
           => ( ~ c2_1(X119)
              | ~ c1_1(X119)
              | ~ c0_1(X119) ) ) )
      & ( hskp25
        | hskp16
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c0_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp6
        | ! [X117] :
            ( ndr1_0
           => ( ~ c1_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp0
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp8
        | hskp18
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp0
        | hskp29
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp19
        | hskp27
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c3_1(X113) ) ) )
      & ( hskp2
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c3_1(X111)
              | ~ c1_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp11
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c0_1(X110)
              | c3_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c1_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp7
        | hskp4
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp20
        | hskp7
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( hskp2
        | hskp16
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | c3_1(X106)
              | c2_1(X106) ) ) )
      & ( hskp11
        | hskp18
        | ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | c3_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp17
        | hskp3
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) ) )
      & ( hskp19
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c0_1(X102)
              | c1_1(X102) ) ) )
      & ( hskp7
        | hskp4
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c1_1(X101) ) ) )
      & ( hskp1
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c2_1(X99)
              | ~ c0_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp24
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c2_1(X97)
              | ~ c0_1(X97)
              | c1_1(X97) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c2_1(X94)
              | ~ c0_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp17
        | hskp23
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp19
        | hskp1
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp21
        | hskp22
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) ) )
      & ( ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c1_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | c3_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp18
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c1_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | c2_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | c3_1(X84)
              | c2_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp6
        | hskp22
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp28
        | ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp21
        | hskp2
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c2_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp20
        | hskp6
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp20
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c2_1(X74)
              | ~ c0_1(X74)
              | c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c0_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp4
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp19
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp15
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | c2_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp17
        | hskp9
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c2_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp1
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp17
        | ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | c2_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c2_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp0
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c3_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp16
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c0_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | ~ c1_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp15
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | hskp1
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp11
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | ~ c0_1(X49)
              | c3_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp5
        | hskp13
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp10
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c0_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | ~ c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp10
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp12
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | hskp5
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp10
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | ~ c0_1(X31)
              | c2_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c2_1(X30)
              | c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c0_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | hskp9
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp8
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c2_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp7
        | hskp6
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp5
        | hskp4
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp1
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c3_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp27
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp3
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c1_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c2_1(X14)
              | ~ c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c3_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | ~ c0_1(X11)
              | c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c0_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c3_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c2_1(X4)
              | c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c3_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a166)
          & c2_1(a166)
          & c0_1(a166)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a137)
          & c1_1(a137)
          & c0_1(a137)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a101)
          & c1_1(a101)
          & c0_1(a101)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c1_1(a195)
          & c3_1(a195)
          & c0_1(a195)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a173)
          & ~ c0_1(a173)
          & c1_1(a173)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a147)
          & ~ c1_1(a147)
          & ~ c0_1(a147)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a145)
          & c3_1(a145)
          & c1_1(a145)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a138)
          & c3_1(a138)
          & c0_1(a138)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a136)
          & ~ c1_1(a136)
          & c3_1(a136)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a132)
          & ~ c2_1(a132)
          & ~ c1_1(a132)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c2_1(a130)
          & c3_1(a130)
          & c1_1(a130)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a129)
          & c2_1(a129)
          & c0_1(a129)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a124)
          & ~ c1_1(a124)
          & c2_1(a124)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a122)
          & ~ c1_1(a122)
          & c0_1(a122)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a121)
          & ~ c2_1(a121)
          & ~ c0_1(a121)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a120)
          & ~ c1_1(a120)
          & ~ c0_1(a120)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a116)
          & c1_1(a116)
          & c0_1(a116)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a113)
          & c1_1(a113)
          & c0_1(a113)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a112)
          & ~ c0_1(a112)
          & c3_1(a112)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a110)
          & ~ c2_1(a110)
          & c1_1(a110)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a108)
          & c2_1(a108)
          & c1_1(a108)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a107)
          & ~ c0_1(a107)
          & c3_1(a107)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a106)
          & c3_1(a106)
          & c2_1(a106)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a105)
          & c2_1(a105)
          & c1_1(a105)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a104)
          & ~ c0_1(a104)
          & c2_1(a104)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a103)
          & c2_1(a103)
          & c0_1(a103)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a100)
          & c3_1(a100)
          & c2_1(a100)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a99)
          & ~ c0_1(a99)
          & c2_1(a99)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a98)
          & ~ c1_1(a98)
          & c0_1(a98)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a97)
          & ~ c2_1(a97)
          & c0_1(a97)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp15
          | hskp8
          | hskp19 )
        & ( hskp8
          | hskp10
          | hskp16 )
        & ( hskp15
          | hskp6
          | hskp16 )
        & ( hskp15
          | hskp8
          | hskp22 )
        & ( hskp11
          | hskp0
          | hskp22 )
        & ( hskp5
          | hskp25
          | hskp26 )
        & ( hskp17
          | hskp19
          | hskp18 )
        & ( hskp20
          | hskp4
          | hskp18 )
        & ( hskp8
          | hskp18
          | hskp13 )
        & ( hskp13
          | hskp12 )
        & ( hskp2
          | hskp9
          | hskp27 )
        & ( hskp22
          | hskp4
          | hskp28 )
        & ( hskp9
          | hskp1
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c2_1(X120)
                | ~ c0_1(X120) ) ) )
        & ( hskp29
          | hskp27
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | ~ c1_1(X119)
                | ~ c0_1(X119) ) ) )
        & ( hskp25
          | hskp16
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c0_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp6
          | ! [X117] :
              ( ndr1_0
             => ( ~ c1_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp8
          | hskp18
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp0
          | hskp29
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp19
          | hskp27
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c3_1(X113) ) ) )
        & ( hskp2
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c1_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp11
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c3_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c1_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp7
          | hskp4
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp20
          | hskp7
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( hskp2
          | hskp16
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | c3_1(X106)
                | c2_1(X106) ) ) )
        & ( hskp11
          | hskp18
          | ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | c3_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp17
          | hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) ) )
        & ( hskp19
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c0_1(X102)
                | c1_1(X102) ) ) )
        & ( hskp7
          | hskp4
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c1_1(X101) ) ) )
        & ( hskp1
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | ~ c0_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp24
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | ~ c0_1(X97)
                | c1_1(X97) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp17
          | hskp23
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp19
          | hskp1
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp21
          | hskp22
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c1_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp18
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | c2_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c3_1(X84)
                | c2_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp6
          | hskp22
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp28
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp21
          | hskp2
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c2_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp20
          | hskp6
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp20
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp4
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp19
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | c2_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp17
          | hskp9
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp1
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp17
          | ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp0
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c3_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp16
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | hskp1
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp11
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp5
          | hskp13
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp10
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | ~ c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp10
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp12
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | hskp5
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp10
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c2_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | hskp9
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp8
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c2_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp7
          | hskp6
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp5
          | hskp4
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp1
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c3_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp27
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | ~ c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c3_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c2_1(X4)
                | c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c3_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a166)
            & c2_1(a166)
            & c0_1(a166)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a137)
            & c1_1(a137)
            & c0_1(a137)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a101)
            & c1_1(a101)
            & c0_1(a101)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a195)
            & c3_1(a195)
            & c0_1(a195)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a173)
            & ~ c0_1(a173)
            & c1_1(a173)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a147)
            & ~ c1_1(a147)
            & ~ c0_1(a147)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a145)
            & c3_1(a145)
            & c1_1(a145)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a138)
            & c3_1(a138)
            & c0_1(a138)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a136)
            & ~ c1_1(a136)
            & c3_1(a136)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a132)
            & ~ c2_1(a132)
            & ~ c1_1(a132)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c2_1(a130)
            & c3_1(a130)
            & c1_1(a130)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a129)
            & c2_1(a129)
            & c0_1(a129)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a124)
            & ~ c1_1(a124)
            & c2_1(a124)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a122)
            & ~ c1_1(a122)
            & c0_1(a122)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a121)
            & ~ c2_1(a121)
            & ~ c0_1(a121)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a120)
            & ~ c1_1(a120)
            & ~ c0_1(a120)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a116)
            & c1_1(a116)
            & c0_1(a116)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a113)
            & c1_1(a113)
            & c0_1(a113)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a112)
            & ~ c0_1(a112)
            & c3_1(a112)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a110)
            & ~ c2_1(a110)
            & c1_1(a110)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a108)
            & c2_1(a108)
            & c1_1(a108)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a107)
            & ~ c0_1(a107)
            & c3_1(a107)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a106)
            & c3_1(a106)
            & c2_1(a106)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a105)
            & c2_1(a105)
            & c1_1(a105)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a104)
            & ~ c0_1(a104)
            & c2_1(a104)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a103)
            & c2_1(a103)
            & c0_1(a103)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a100)
            & c3_1(a100)
            & c2_1(a100)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a99)
            & ~ c0_1(a99)
            & c2_1(a99)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a98)
            & ~ c1_1(a98)
            & c0_1(a98)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a97)
            & ~ c2_1(a97)
            & c0_1(a97)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp15
      | hskp8
      | hskp19 )
    & ( hskp8
      | hskp10
      | hskp16 )
    & ( hskp15
      | hskp6
      | hskp16 )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp5
      | hskp25
      | hskp26 )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp18 )
    & ( hskp8
      | hskp18
      | hskp13 )
    & ( hskp13
      | hskp12 )
    & ( hskp2
      | hskp9
      | hskp27 )
    & ( hskp22
      | hskp4
      | hskp28 )
    & ( hskp9
      | hskp1
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c2_1(X120)
            | ~ c0_1(X120) ) ) )
    & ( hskp29
      | hskp27
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | ~ c1_1(X119)
            | ~ c0_1(X119) ) ) )
    & ( hskp25
      | hskp16
      | ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | ~ c0_1(X118)
            | c3_1(X118) ) ) )
    & ( hskp6
      | ! [X117] :
          ( ndr1_0
         => ( ~ c1_1(X117)
            | ~ c0_1(X117)
            | c3_1(X117) ) ) )
    & ( hskp0
      | ! [X116] :
          ( ndr1_0
         => ( ~ c1_1(X116)
            | ~ c0_1(X116)
            | c3_1(X116) ) ) )
    & ( hskp8
      | hskp18
      | ! [X115] :
          ( ndr1_0
         => ( ~ c1_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) ) )
    & ( hskp0
      | hskp29
      | ! [X114] :
          ( ndr1_0
         => ( ~ c1_1(X114)
            | ~ c0_1(X114)
            | c3_1(X114) ) ) )
    & ( hskp19
      | hskp27
      | ! [X113] :
          ( ndr1_0
         => ( ~ c1_1(X113)
            | ~ c0_1(X113)
            | c3_1(X113) ) ) )
    & ( hskp2
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c1_1(X111)
            | c2_1(X111) ) ) )
    & ( hskp11
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c0_1(X110)
            | c3_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c1_1(X109)
            | c2_1(X109) ) ) )
    & ( hskp7
      | hskp4
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c0_1(X108)
            | c2_1(X108) ) ) )
    & ( hskp20
      | hskp7
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | ~ c0_1(X107)
            | c2_1(X107) ) ) )
    & ( hskp2
      | hskp16
      | ! [X106] :
          ( ndr1_0
         => ( ~ c0_1(X106)
            | c3_1(X106)
            | c2_1(X106) ) ) )
    & ( hskp11
      | hskp18
      | ! [X105] :
          ( ndr1_0
         => ( ~ c0_1(X105)
            | c3_1(X105)
            | c2_1(X105) ) ) )
    & ( hskp17
      | hskp3
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c2_1(X104)
            | c1_1(X104) ) ) )
    & ( hskp19
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | c2_1(X103) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c0_1(X102)
            | c1_1(X102) ) ) )
    & ( hskp7
      | hskp4
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | ~ c0_1(X101)
            | c1_1(X101) ) ) )
    & ( hskp1
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c3_1(X100) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | ~ c0_1(X99)
            | c1_1(X99) ) ) )
    & ( hskp24
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c0_1(X98)
            | c2_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | ~ c0_1(X97)
            | c1_1(X97) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c2_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | c1_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) ) )
    & ( hskp17
      | hskp23
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) ) )
    & ( hskp19
      | hskp1
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | c1_1(X92) ) ) )
    & ( hskp21
      | hskp22
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | c3_1(X91)
            | c1_1(X91) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c1_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c0_1(X89)
            | c1_1(X89) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c3_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp18
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | ~ c0_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c3_1(X86)
            | c1_1(X86) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c1_1(X85)
            | c2_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c3_1(X84)
            | c2_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp6
      | hskp22
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp28
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp21
      | hskp2
      | ! [X79] :
          ( ndr1_0
         => ( ~ c0_1(X79)
            | c2_1(X79)
            | c1_1(X79) ) ) )
    & ( hskp20
      | hskp6
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp20
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c0_1(X75)
            | c3_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c1_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c2_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp4
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | c3_1(X72)
            | c1_1(X72) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp19
      | hskp18
      | ! [X70] :
          ( ndr1_0
         => ( c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp15
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c0_1(X69)
            | c3_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c3_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c2_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( c3_1(X65)
            | c2_1(X65)
            | c1_1(X65) ) ) )
    & ( hskp17
      | hskp9
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp1
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp17
      | ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp0
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | c3_1(X59)
            | c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp16
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c0_1(X57)
            | c3_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | ~ c0_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c1_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp15
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp14
      | hskp1
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp11
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp5
      | hskp13
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | c2_1(X47)
            | c0_1(X47) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp10
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c2_1(X42)
            | c0_1(X42) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | ~ c1_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp10
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | c0_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c1_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( hskp12
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c1_1(X36)
            | c0_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c1_1(X35)
            | c2_1(X35)
            | c0_1(X35) ) ) )
    & ( hskp11
      | hskp5
      | ! [X34] :
          ( ndr1_0
         => ( c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( hskp10
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( c3_1(X32)
            | c2_1(X32)
            | c0_1(X32) ) ) )
    & ( ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c2_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | c0_1(X30) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c2_1(X29)
            | c0_1(X29) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c2_1(X27)
            | c0_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( c3_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp6
      | hskp9
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | c1_1(X25)
            | c0_1(X25) ) ) )
    & ( hskp8
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c2_1(X24)
            | c1_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | c1_1(X23)
            | c0_1(X23) ) ) )
    & ( hskp7
      | hskp6
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | c1_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp5
      | hskp4
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp1
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c3_1(X20)
            | c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp27
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c2_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c1_1(X16)
            | c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c2_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | ~ c1_1(X14) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c0_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | c1_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c3_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | c3_1(X8)
            | c0_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c3_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( hskp2
      | hskp1
      | ! [X5] :
          ( ndr1_0
         => ( c2_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | c2_1(X4)
            | c0_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | c3_1(X2)
            | c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a166)
        & c2_1(a166)
        & c0_1(a166)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a137)
        & c1_1(a137)
        & c0_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a101)
        & c1_1(a101)
        & c0_1(a101)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a195)
        & c3_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & ~ c0_1(a147)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a145)
        & c3_1(a145)
        & c1_1(a145)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a138)
        & c3_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a136)
        & ~ c1_1(a136)
        & c3_1(a136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a132)
        & ~ c2_1(a132)
        & ~ c1_1(a132)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a129)
        & c2_1(a129)
        & c0_1(a129)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & c2_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a122)
        & ~ c1_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a121)
        & ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a120)
        & ~ c1_1(a120)
        & ~ c0_1(a120)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & c1_1(a113)
        & c0_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a112)
        & ~ c0_1(a112)
        & c3_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a110)
        & ~ c2_1(a110)
        & c1_1(a110)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a108)
        & c2_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a107)
        & ~ c0_1(a107)
        & c3_1(a107)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a106)
        & c3_1(a106)
        & c2_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a105)
        & c2_1(a105)
        & c1_1(a105)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a104)
        & ~ c0_1(a104)
        & c2_1(a104)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a103)
        & c2_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a98)
        & ~ c1_1(a98)
        & c0_1(a98)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a97)
        & ~ c2_1(a97)
        & c0_1(a97)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp15
      | hskp8
      | hskp19 )
    & ( hskp8
      | hskp10
      | hskp16 )
    & ( hskp15
      | hskp6
      | hskp16 )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp5
      | hskp25
      | hskp26 )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp18 )
    & ( hskp8
      | hskp18
      | hskp13 )
    & ( hskp13
      | hskp12 )
    & ( hskp2
      | hskp9
      | hskp27 )
    & ( hskp22
      | hskp4
      | hskp28 )
    & ( hskp9
      | hskp1
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c2_1(X120)
          | ~ c0_1(X120) ) )
    & ( hskp29
      | hskp27
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c1_1(X119)
          | ~ c0_1(X119) ) )
    & ( hskp25
      | hskp16
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) ) )
    & ( hskp6
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c1_1(X117)
          | ~ c0_1(X117)
          | c3_1(X117) ) )
    & ( hskp0
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | c3_1(X116) ) )
    & ( hskp8
      | hskp18
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp0
      | hskp29
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp19
      | hskp27
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | c3_1(X113) ) )
    & ( hskp2
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c1_1(X111)
          | c2_1(X111) ) )
    & ( hskp11
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c0_1(X110)
          | c3_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | ~ c1_1(X109)
          | c2_1(X109) ) )
    & ( hskp7
      | hskp4
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c0_1(X108)
          | c2_1(X108) ) )
    & ( hskp20
      | hskp7
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107) ) )
    & ( hskp2
      | hskp16
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c2_1(X106) ) )
    & ( hskp11
      | hskp18
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c2_1(X105) ) )
    & ( hskp17
      | hskp3
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104) ) )
    & ( hskp19
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c0_1(X102)
          | c1_1(X102) ) )
    & ( hskp7
      | hskp4
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | c1_1(X101) ) )
    & ( hskp1
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c0_1(X99)
          | c1_1(X99) ) )
    & ( hskp24
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97) ) )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | ~ c0_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | c1_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( hskp17
      | hskp23
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93) ) )
    & ( hskp19
      | hskp1
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | c3_1(X92)
          | c1_1(X92) ) )
    & ( hskp21
      | hskp22
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | c3_1(X91)
          | c1_1(X91) ) )
    & ( ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c1_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | c3_1(X88)
          | c1_1(X88) ) )
    & ( hskp18
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c1_1(X86) ) )
    & ( ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | c2_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | c3_1(X84)
          | c2_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp6
      | hskp22
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp28
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp21
      | hskp2
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp20
      | hskp6
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp20
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c0_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp4
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | c3_1(X72)
          | c1_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp19
      | hskp18
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp15
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c1_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | c3_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp17
      | hskp9
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( hskp1
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp17
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60) ) )
    & ( hskp0
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c3_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp16
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp15
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp14
      | hskp1
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp11
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp5
      | hskp13
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( hskp10
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp10
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp12
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | c0_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp11
      | hskp5
      | ! [X34] :
          ( ~ ndr1_0
          | c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp6
      | hskp9
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c1_1(X25)
          | c0_1(X25) ) )
    & ( hskp8
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c2_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp7
      | hskp6
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp5
      | hskp4
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c2_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp1
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c3_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp27
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c2_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp3
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c1_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c3_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c0_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c1_1(X8)
          | c3_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | hskp1
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c2_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | c3_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a166)
        & c2_1(a166)
        & c0_1(a166)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a137)
        & c1_1(a137)
        & c0_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a101)
        & c1_1(a101)
        & c0_1(a101)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a195)
        & c3_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & ~ c0_1(a147)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a145)
        & c3_1(a145)
        & c1_1(a145)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a138)
        & c3_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a136)
        & ~ c1_1(a136)
        & c3_1(a136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a132)
        & ~ c2_1(a132)
        & ~ c1_1(a132)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a129)
        & c2_1(a129)
        & c0_1(a129)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & c2_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a122)
        & ~ c1_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a121)
        & ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a120)
        & ~ c1_1(a120)
        & ~ c0_1(a120)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & c1_1(a113)
        & c0_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a112)
        & ~ c0_1(a112)
        & c3_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a110)
        & ~ c2_1(a110)
        & c1_1(a110)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a108)
        & c2_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a107)
        & ~ c0_1(a107)
        & c3_1(a107)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a106)
        & c3_1(a106)
        & c2_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a105)
        & c2_1(a105)
        & c1_1(a105)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a104)
        & ~ c0_1(a104)
        & c2_1(a104)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a103)
        & c2_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a98)
        & ~ c1_1(a98)
        & c0_1(a98)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a97)
        & ~ c2_1(a97)
        & c0_1(a97)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp15
      | hskp8
      | hskp19 )
    & ( hskp8
      | hskp10
      | hskp16 )
    & ( hskp15
      | hskp6
      | hskp16 )
    & ( hskp15
      | hskp8
      | hskp22 )
    & ( hskp11
      | hskp0
      | hskp22 )
    & ( hskp5
      | hskp25
      | hskp26 )
    & ( hskp17
      | hskp19
      | hskp18 )
    & ( hskp20
      | hskp4
      | hskp18 )
    & ( hskp8
      | hskp18
      | hskp13 )
    & ( hskp13
      | hskp12 )
    & ( hskp2
      | hskp9
      | hskp27 )
    & ( hskp22
      | hskp4
      | hskp28 )
    & ( hskp9
      | hskp1
      | ! [X120] :
          ( ~ ndr1_0
          | ~ c3_1(X120)
          | ~ c2_1(X120)
          | ~ c0_1(X120) ) )
    & ( hskp29
      | hskp27
      | ! [X119] :
          ( ~ ndr1_0
          | ~ c2_1(X119)
          | ~ c1_1(X119)
          | ~ c0_1(X119) ) )
    & ( hskp25
      | hskp16
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c2_1(X118)
          | ~ c0_1(X118)
          | c3_1(X118) ) )
    & ( hskp6
      | ! [X117] :
          ( ~ ndr1_0
          | ~ c1_1(X117)
          | ~ c0_1(X117)
          | c3_1(X117) ) )
    & ( hskp0
      | ! [X116] :
          ( ~ ndr1_0
          | ~ c1_1(X116)
          | ~ c0_1(X116)
          | c3_1(X116) ) )
    & ( hskp8
      | hskp18
      | ! [X115] :
          ( ~ ndr1_0
          | ~ c1_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115) ) )
    & ( hskp0
      | hskp29
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | ~ c0_1(X114)
          | c3_1(X114) ) )
    & ( hskp19
      | hskp27
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c1_1(X113)
          | ~ c0_1(X113)
          | c3_1(X113) ) )
    & ( hskp2
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c3_1(X111)
          | ~ c1_1(X111)
          | c2_1(X111) ) )
    & ( hskp11
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c0_1(X110)
          | c3_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c3_1(X109)
          | ~ c1_1(X109)
          | c2_1(X109) ) )
    & ( hskp7
      | hskp4
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c0_1(X108)
          | c2_1(X108) ) )
    & ( hskp20
      | hskp7
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c1_1(X107)
          | ~ c0_1(X107)
          | c2_1(X107) ) )
    & ( hskp2
      | hskp16
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | c3_1(X106)
          | c2_1(X106) ) )
    & ( hskp11
      | hskp18
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | c3_1(X105)
          | c2_1(X105) ) )
    & ( hskp17
      | hskp3
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c2_1(X104)
          | c1_1(X104) ) )
    & ( hskp19
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) )
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c0_1(X102)
          | c1_1(X102) ) )
    & ( hskp7
      | hskp4
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c2_1(X101)
          | ~ c0_1(X101)
          | c1_1(X101) ) )
    & ( hskp1
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c3_1(X100) )
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c2_1(X99)
          | ~ c0_1(X99)
          | c1_1(X99) ) )
    & ( hskp24
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c2_1(X97)
          | ~ c0_1(X97)
          | c1_1(X97) ) )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | ~ c0_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | c1_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94) ) )
    & ( hskp17
      | hskp23
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93) ) )
    & ( hskp19
      | hskp1
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c2_1(X92)
          | c3_1(X92)
          | c1_1(X92) ) )
    & ( hskp21
      | hskp22
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c2_1(X91)
          | c3_1(X91)
          | c1_1(X91) ) )
    & ( ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c1_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) )
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c2_1(X88)
          | c3_1(X88)
          | c1_1(X88) ) )
    & ( hskp18
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c1_1(X87)
          | ~ c0_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c1_1(X86) ) )
    & ( ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | c2_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | c3_1(X84)
          | c2_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp6
      | hskp22
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | c2_1(X82)
          | c1_1(X82) ) )
    & ( hskp28
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c1_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80) ) )
    & ( hskp21
      | hskp2
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c0_1(X79)
          | c2_1(X79)
          | c1_1(X79) ) )
    & ( hskp20
      | hskp6
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp20
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | ~ c0_1(X75)
          | c3_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c2_1(X74)
          | ~ c0_1(X74)
          | c1_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c0_1(X73)
          | c2_1(X73)
          | c1_1(X73) ) )
    & ( hskp4
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c2_1(X72)
          | c3_1(X72)
          | c1_1(X72) )
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp19
      | hskp18
      | ! [X70] :
          ( ~ ndr1_0
          | c3_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp15
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c0_1(X69)
          | c3_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c1_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | c3_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | c3_1(X65)
          | c2_1(X65)
          | c1_1(X65) ) )
    & ( hskp17
      | hskp9
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c2_1(X64)
          | c0_1(X64) ) )
    & ( hskp1
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c2_1(X62)
          | c0_1(X62) ) )
    & ( hskp17
      | ! [X61] :
          ( ~ ndr1_0
          | c3_1(X61)
          | c2_1(X61)
          | c1_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60) ) )
    & ( hskp0
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c0_1(X59)
          | c3_1(X59)
          | c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp16
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | ~ c0_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | ~ c1_1(X53)
          | c0_1(X53) ) )
    & ( hskp15
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51) ) )
    & ( hskp14
      | hskp1
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c0_1(X50) ) )
    & ( hskp11
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp5
      | hskp13
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) ) )
    & ( hskp10
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c1_1(X42)
          | c2_1(X42)
          | c0_1(X42) ) )
    & ( ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | ~ c2_1(X41)
          | ~ c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c1_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp10
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c1_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( hskp12
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | c0_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c1_1(X35)
          | c2_1(X35)
          | c0_1(X35) ) )
    & ( hskp11
      | hskp5
      | ! [X34] :
          ( ~ ndr1_0
          | c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( hskp10
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | c3_1(X32)
          | c2_1(X32)
          | c0_1(X32) ) )
    & ( ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | ~ c0_1(X31)
          | c2_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | ~ c2_1(X30)
          | c0_1(X30) )
      | ! [X29] :
          ( ~ ndr1_0
          | c3_1(X29)
          | c2_1(X29)
          | c0_1(X29) ) )
    & ( ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c2_1(X27)
          | c0_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | c3_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp6
      | hskp9
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c1_1(X25)
          | c0_1(X25) ) )
    & ( hskp8
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c2_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | c1_1(X23)
          | c0_1(X23) ) )
    & ( hskp7
      | hskp6
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c2_1(X22)
          | c1_1(X22)
          | c0_1(X22) ) )
    & ( hskp5
      | hskp4
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c2_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp1
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c3_1(X20)
          | c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp27
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | c2_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( hskp3
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | ~ c1_1(X16)
          | c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c2_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c1_1(X14) )
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c1_1(X13)
          | c3_1(X13)
          | c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c0_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c3_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c1_1(X8)
          | c3_1(X8)
          | c0_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c3_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( hskp2
      | hskp1
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c2_1(X4)
          | c0_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c2_1(X2)
          | c3_1(X2)
          | c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a166)
        & c2_1(a166)
        & c0_1(a166)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a137)
        & c1_1(a137)
        & c0_1(a137)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a101)
        & c1_1(a101)
        & c0_1(a101)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a195)
        & c3_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a173)
        & ~ c0_1(a173)
        & c1_1(a173)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a147)
        & ~ c1_1(a147)
        & ~ c0_1(a147)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a145)
        & c3_1(a145)
        & c1_1(a145)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a138)
        & c3_1(a138)
        & c0_1(a138)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a136)
        & ~ c1_1(a136)
        & c3_1(a136)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a132)
        & ~ c2_1(a132)
        & ~ c1_1(a132)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c2_1(a130)
        & c3_1(a130)
        & c1_1(a130)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a129)
        & c2_1(a129)
        & c0_1(a129)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a124)
        & ~ c1_1(a124)
        & c2_1(a124)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a122)
        & ~ c1_1(a122)
        & c0_1(a122)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a121)
        & ~ c2_1(a121)
        & ~ c0_1(a121)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a120)
        & ~ c1_1(a120)
        & ~ c0_1(a120)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a116)
        & c1_1(a116)
        & c0_1(a116)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a113)
        & c1_1(a113)
        & c0_1(a113)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a112)
        & ~ c0_1(a112)
        & c3_1(a112)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a110)
        & ~ c2_1(a110)
        & c1_1(a110)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a108)
        & c2_1(a108)
        & c1_1(a108)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a107)
        & ~ c0_1(a107)
        & c3_1(a107)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a106)
        & c3_1(a106)
        & c2_1(a106)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a105)
        & c2_1(a105)
        & c1_1(a105)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a104)
        & ~ c0_1(a104)
        & c2_1(a104)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a103)
        & c2_1(a103)
        & c0_1(a103)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a100)
        & c3_1(a100)
        & c2_1(a100)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a98)
        & ~ c1_1(a98)
        & c0_1(a98)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a97)
        & ~ c2_1(a97)
        & c0_1(a97)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp15
    | hskp8
    | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp11
    | hskp0
    | hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp17
    | hskp19
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp20
    | hskp4
    | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ( hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ( hskp22
    | hskp4
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X118] :
      ( hskp25
      | hskp16
      | ~ ndr1_0
      | ~ c2_1(X118)
      | ~ c0_1(X118)
      | c3_1(X118) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X116] :
      ( hskp0
      | ~ ndr1_0
      | ~ c1_1(X116)
      | ~ c0_1(X116)
      | c3_1(X116) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X115] :
      ( hskp8
      | hskp18
      | ~ ndr1_0
      | ~ c1_1(X115)
      | ~ c0_1(X115)
      | c3_1(X115) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X114] :
      ( hskp0
      | hskp29
      | ~ ndr1_0
      | ~ c1_1(X114)
      | ~ c0_1(X114)
      | c3_1(X114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X108] :
      ( hskp7
      | hskp4
      | ~ ndr1_0
      | ~ c3_1(X108)
      | ~ c0_1(X108)
      | c2_1(X108) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X106] :
      ( hskp2
      | hskp16
      | ~ ndr1_0
      | ~ c0_1(X106)
      | c3_1(X106)
      | c2_1(X106) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X105] :
      ( hskp11
      | hskp18
      | ~ ndr1_0
      | ~ c0_1(X105)
      | c3_1(X105)
      | c2_1(X105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X104] :
      ( hskp17
      | hskp3
      | ~ ndr1_0
      | ~ c3_1(X104)
      | ~ c2_1(X104)
      | c1_1(X104) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X101] :
      ( hskp7
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X101)
      | ~ c0_1(X101)
      | c1_1(X101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ! [X64] :
      ( hskp17
      | hskp9
      | ~ ndr1_0
      | ~ c3_1(X64)
      | ~ c2_1(X64)
      | c0_1(X64) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f73,plain,
    ! [X25] :
      ( hskp6
      | hskp9
      | ~ ndr1_0
      | ~ c3_1(X25)
      | c1_1(X25)
      | c0_1(X25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X21] :
      ( hskp5
      | hskp4
      | ~ ndr1_0
      | ~ c2_1(X21)
      | c1_1(X21)
      | c0_1(X21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f93,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c0_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c2_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c3_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c0_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f117,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c2_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ c1_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c2_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c3_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c1_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c2_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c0_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c1_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c2_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c1_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c0_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c2_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ c0_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c3_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( c1_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c0_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( c1_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c0_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c3_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c2_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c1_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a107)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c0_1(a107)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c3_1(a107)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c0_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c3_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c3_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( c2_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c1_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c3_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( ~ c0_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c2_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( c2_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c0_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f189,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c1_1(a100)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c3_1(a100)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c2_1(a100)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c1_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c0_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c2_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c3_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( ~ c1_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c0_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c3_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c2_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c0_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a97) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a97) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_55,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a98) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a98) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_58,negated_conjecture,
    ( c2_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a99) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a99) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_62,negated_conjecture,
    ( c2_1(a100)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_63,negated_conjecture,
    ( c3_1(a100)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a100) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_65,negated_conjecture,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_66,negated_conjecture,
    ( c0_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_67,negated_conjecture,
    ( c2_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a103) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_70,negated_conjecture,
    ( c2_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a104) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a104) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_74,negated_conjecture,
    ( c1_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_75,negated_conjecture,
    ( c2_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a105) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_78,negated_conjecture,
    ( c2_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_79,negated_conjecture,
    ( c3_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a106) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_82,negated_conjecture,
    ( c3_1(a107)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a107) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a107) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_86,negated_conjecture,
    ( c1_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_87,negated_conjecture,
    ( c2_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a108) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_94,negated_conjecture,
    ( c3_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a112) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a112) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_98,negated_conjecture,
    ( c0_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_99,negated_conjecture,
    ( c1_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a113) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    ( c0_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_103,negated_conjecture,
    ( c1_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a116) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_110,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a121) ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a121) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a121) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_114,negated_conjecture,
    ( c0_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a122) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a122) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_118,negated_conjecture,
    ( c2_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a124) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a124) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_122,negated_conjecture,
    ( c0_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_123,negated_conjecture,
    ( c2_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a129) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_126,negated_conjecture,
    ( c1_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_127,negated_conjecture,
    ( c3_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a130) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_130,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a132) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a132) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a132) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_137,negated_conjecture,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_138,negated_conjecture,
    ( c0_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_139,negated_conjecture,
    ( c3_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a138) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_150,negated_conjecture,
    ( c1_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a173) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a173) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_161,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f93]) ).

tcf(c_165,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_174,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f73]) ).

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

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp9
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp3
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp11
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp0
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp8
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp16
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_237,negated_conjecture,
    ( hskp28
    | hskp22
    | hskp4 ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_239,negated_conjecture,
    ( hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_241,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp4 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_242,negated_conjecture,
    ( hskp19
    | hskp18
    | hskp17 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_244,negated_conjecture,
    ( hskp22
    | hskp11
    | hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_248,negated_conjecture,
    ( hskp19
    | hskp15
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_284,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_165,c_237,c_161,c_137,c_65]) ).

tcf(c_359,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp2
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_237,c_161,c_137,c_65,c_224]) ).

tcf(c_362,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp11
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_237,c_161,c_137,c_65,c_223]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | hskp6
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_237,c_161,c_137,c_65,c_181]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp4
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_237,c_161,c_137,c_65,c_178]) ).

tcf(c_398,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp16
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_237,c_161,c_137,c_65,c_234]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp16
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_398]) ).

tcf(c_401,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp8
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_237,c_161,c_137,c_65,c_231]) ).

tcf(c_402,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp8
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_401]) ).

tcf(c_404,plain,
    ! [X0: $i] :
      ( ~ c1_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0)
      | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_237,c_161,c_137,c_65,c_232]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_404]) ).

tcf(c_409,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_237,c_161,c_137,c_65,c_226]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_409]) ).

tcf(c_415,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp3
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_237,c_161,c_137,c_65,c_222]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp3
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_415]) ).

tcf(c_418,plain,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_237,c_161,c_137,c_65,c_220]) ).

tcf(c_419,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_418]) ).

tcf(c_421,plain,
    ! [X0: $i] :
      ( hskp17
      | hskp9
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_237,c_161,c_137,c_65,c_200]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp9
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_421]) ).

tcf(c_433,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_237,c_161,c_137,c_65,c_204]) ).

tcf(c_434,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_433]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_237,c_161,c_137,c_65,c_198]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c1_1(X1)
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_444,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_237,c_161,c_137,c_65,c_177]) ).

tcf(c_445,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_444]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_237,c_161,c_137,c_65,c_206]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X1)
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_456,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_237,c_161,c_137,c_65,c_192]) ).

tcf(c_457,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_456]) ).

tcf(c_466,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_237,c_161,c_137,c_65,c_227]) ).

tcf(c_467,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c3_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_466]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_237,c_161,c_137,c_65,c_219]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X0)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_237,c_161,c_137,c_65,c_218]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c1_1(X0)
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_237,c_161,c_137,c_65,c_196]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c3_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_237,c_161,c_137,c_65,c_194]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_481,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_237,c_161,c_137,c_65,c_228]) ).

tcf(c_482,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_481]) ).

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_237,c_161,c_137,c_65,c_172]) ).

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

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_237,c_161,c_137,c_65,c_169]) ).

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

tcf(c_489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X2)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_237,c_161,c_137,c_65,c_201]) ).

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

tcf(c_493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_237,c_161,c_137,c_65,c_211]) ).

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

tcf(c_495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_237,c_161,c_137,c_65,c_190]) ).

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

tcf(c_497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_183,c_284]) ).

tcf(c_498,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

tcf(c_499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_237,c_161,c_137,c_65,c_173]) ).

tcf(c_500,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_499]) ).

tcf(c_501,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_237,c_161,c_137,c_65,c_205]) ).

tcf(c_502,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X2)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_501]) ).

tcf(c_503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c0_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_237,c_161,c_137,c_65,c_188]) ).

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

tcf(c_505,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_174,c_237,c_161,c_137,c_65,c_174]) ).

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

tcf(c_507,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_237,c_161,c_137,c_65,c_213]) ).

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

tcf(c_509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_237,c_161,c_137,c_65,c_217]) ).

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

tcf(c_511,plain,
    ( c1_1(a100)
    | ~ c3_1(a100)
    | ~ c2_1(a100)
    | ~ c0_1(a100) ),
    inference(instantiation,[status(thm)],[c_510]) ).

tcf(c_512,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_237,c_161,c_137,c_65,c_195]) ).

tcf(c_513,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_512]) ).

tcf(c_2341,plain,
    ( hskp12
    | ~ c3_1(a116) ),
    inference(resolution,[status(thm)],[c_239,c_104]) ).

tcf(c_2348,plain,
    ( hskp12
    | c1_1(a116) ),
    inference(resolution,[status(thm)],[c_239,c_103]) ).

tcf(c_2355,plain,
    ( hskp12
    | c0_1(a116) ),
    inference(resolution,[status(thm)],[c_239,c_102]) ).

tcf(c_3352,plain,
    ( hskp11
    | hskp0
    | ~ c2_1(a138) ),
    inference(resolution,[status(thm)],[c_244,c_140]) ).

tcf(c_3362,plain,
    ( hskp11
    | hskp0
    | c3_1(a138) ),
    inference(resolution,[status(thm)],[c_244,c_139]) ).

tcf(c_3372,plain,
    ( hskp11
    | hskp0
    | c0_1(a138) ),
    inference(resolution,[status(thm)],[c_244,c_138]) ).

tcf(c_4162,plain,
    ( hskp18
    | hskp4
    | ~ c3_1(a132) ),
    inference(resolution,[status(thm)],[c_241,c_132]) ).

tcf(c_4172,plain,
    ( hskp18
    | hskp4
    | ~ c2_1(a132) ),
    inference(resolution,[status(thm)],[c_241,c_131]) ).

tcf(c_4182,plain,
    ( hskp18
    | hskp4
    | ~ c1_1(a132) ),
    inference(resolution,[status(thm)],[c_241,c_130]) ).

tcf(c_4645,plain,
    ( hskp19
    | hskp8
    | ~ c3_1(a121) ),
    inference(resolution,[status(thm)],[c_248,c_112]) ).

tcf(c_4655,plain,
    ( hskp19
    | hskp8
    | ~ c2_1(a121) ),
    inference(resolution,[status(thm)],[c_248,c_111]) ).

tcf(c_4665,plain,
    ( hskp19
    | hskp8
    | ~ c0_1(a121) ),
    inference(resolution,[status(thm)],[c_248,c_110]) ).

tcf(c_7990,plain,
    ( hskp18
    | hskp17
    | ~ c2_1(a130) ),
    inference(resolution,[status(thm)],[c_242,c_128]) ).

tcf(c_8000,plain,
    ( hskp18
    | hskp17
    | c3_1(a130) ),
    inference(resolution,[status(thm)],[c_242,c_127]) ).

tcf(c_8010,plain,
    ( hskp18
    | hskp17
    | c1_1(a130) ),
    inference(resolution,[status(thm)],[c_242,c_126]) ).

tcf(c_9034,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_513]) ).

tcf(c_9035,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_513]) ).

tcf(c_9036,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_513]) ).

tcf(c_9037,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_513]) ).

tcf(c_9039,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_510]) ).

tcf(c_9040,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_510]) ).

tcf(c_9043,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_508]) ).

tcf(c_9045,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_506]) ).

tcf(c_9046,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_506]) ).

tcf(c_9049,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_504]) ).

tcf(c_9051,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_502]) ).

tcf(c_9052,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_502]) ).

tcf(c_9053,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_502]) ).

tcf(c_9054,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_500]) ).

tcf(c_9055,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_500]) ).

tcf(c_9056,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_500]) ).

tcf(c_9057,negated_conjecture,
    ( iPr_def_26
    | iPr_def_25
    | iPr_def_24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

tcf(c_9058,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_498]) ).

tcf(c_9059,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_498]) ).

tcf(c_9060,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | iPr_def_12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

tcf(c_9061,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_496]) ).

tcf(c_9062,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_496]) ).

tcf(c_9063,negated_conjecture,
    ( iPr_def_30
    | iPr_def_29
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_9064,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_494]) ).

tcf(c_9065,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_494]) ).

tcf(c_9066,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_494]) ).

tcf(c_9067,negated_conjecture,
    ( iPr_def_33
    | iPr_def_32
    | iPr_def_31 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

tcf(c_9070,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_490]) ).

tcf(c_9073,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_488]) ).

tcf(c_9074,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_488]) ).

tcf(c_9075,negated_conjecture,
    ( iPr_def_38
    | iPr_def_37
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_9076,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_486]) ).

tcf(c_9077,negated_conjecture,
    ( iPr_def_39
    | iPr_def_25
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

tcf(c_9079,negated_conjecture,
    ( iPr_def_31
    | iPr_def_10
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_9080,negated_conjecture,
    ( iPr_def_27
    | iPr_def_11
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

tcf(c_9081,negated_conjecture,
    ( iPr_def_22
    | iPr_def_11
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_9084,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_473]) ).

tcf(c_9086,negated_conjecture,
    ( iPr_def_24
    | iPr_def_15
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

tcf(c_9088,negated_conjecture,
    ( iPr_def_31
    | iPr_def_22
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

tcf(c_9093,negated_conjecture,
    ( iPr_def_24
    | iPr_def_18
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_457]) ).

tcf(c_9096,negated_conjecture,
    ( iPr_def_26
    | iPr_def_23
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_9099,negated_conjecture,
    ( iPr_def_19
    | iPr_def_17
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_445]) ).

tcf(c_9102,negated_conjecture,
    ( iPr_def_35
    | iPr_def_27
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_9104,negated_conjecture,
    ( iPr_def_23
    | iPr_def_17
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

tcf(c_9108,negated_conjecture,
    ( iPr_def_27
    | hskp17
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

tcf(c_9109,negated_conjecture,
    ( iPr_def_15
    | hskp7
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_419]) ).

tcf(c_9110,negated_conjecture,
    ( iPr_def_14
    | hskp17
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).

tcf(c_9112,negated_conjecture,
    ( iPr_def_41
    | hskp7
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

tcf(c_9114,negated_conjecture,
    ( iPr_def_24
    | hskp18
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

tcf(c_9115,negated_conjecture,
    ( iPr_def_22
    | hskp25
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

tcf(c_9116,negated_conjecture,
    ( iPr_def_19
    | hskp5
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_9118,negated_conjecture,
    ( iPr_def_39
    | hskp9
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_9127,negated_conjecture,
    ( iPr_def_32
    | hskp18
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_362]) ).

tcf(c_9128,negated_conjecture,
    ( iPr_def_32
    | hskp16
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_359]) ).

tcf(c_9156,plain,
    ( c0_1(a100)
    | ~ iPr_def_27
    | ~ c3_1(a100)
    | ~ c2_1(a100) ),
    inference(instantiation,[status(thm)],[c_9058]) ).

tcf(c_9168,plain,
    ( c1_1(a97)
    | c3_1(a97)
    | ~ iPr_def_33
    | ~ c0_1(a97) ),
    inference(instantiation,[status(thm)],[c_9066]) ).

tcf(c_9169,plain,
    ( c3_1(a97)
    | c2_1(a97)
    | ~ iPr_def_32
    | ~ c0_1(a97) ),
    inference(instantiation,[status(thm)],[c_9065]) ).

tcf(c_9171,plain,
    ( c3_1(a97)
    | ~ iPr_def_24
    | ~ c1_1(a97)
    | ~ c0_1(a97) ),
    inference(instantiation,[status(thm)],[c_9054]) ).

tcf(c_9172,plain,
    ( c1_1(a97)
    | c2_1(a97)
    | ~ iPr_def_23
    | ~ c0_1(a97) ),
    inference(instantiation,[status(thm)],[c_9052]) ).

tcf(c_9176,plain,
    ( c2_1(a97)
    | ~ iPr_def_12
    | ~ c1_1(a97)
    | ~ c0_1(a97) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

tcf(c_9178,plain,
    ( c3_1(a99)
    | c0_1(a99)
    | ~ iPr_def_37
    | ~ c2_1(a99) ),
    inference(instantiation,[status(thm)],[c_9073]) ).

tcf(c_9180,plain,
    ( c0_1(a99)
    | ~ iPr_def_27
    | ~ c3_1(a99)
    | ~ c2_1(a99) ),
    inference(instantiation,[status(thm)],[c_9058]) ).

tcf(c_9181,plain,
    ( c1_1(a99)
    | c0_1(a99)
    | ~ iPr_def_19
    | ~ c2_1(a99) ),
    inference(instantiation,[status(thm)],[c_9046]) ).

tcf(c_9192,plain,
    ( c3_1(a103)
    | ~ iPr_def_24
    | ~ c1_1(a103)
    | ~ c0_1(a103) ),
    inference(instantiation,[status(thm)],[c_9054]) ).

tcf(c_9194,plain,
    ( c3_1(a103)
    | ~ iPr_def_22
    | ~ c2_1(a103)
    | ~ c0_1(a103) ),
    inference(instantiation,[status(thm)],[c_9051]) ).

tcf(c_9195,plain,
    ( c1_1(a103)
    | ~ iPr_def_15
    | ~ c2_1(a103)
    | ~ c0_1(a103) ),
    inference(instantiation,[status(thm)],[c_9040]) ).

tcf(c_9198,plain,
    ( ~ iPr_def_10
    | ~ c1_1(a103)
    | ~ c2_1(a103)
    | ~ c0_1(a103) ),
    inference(instantiation,[status(thm)],[c_9034]) ).

tcf(c_9209,plain,
    ( c0_1(a106)
    | ~ iPr_def_27
    | ~ c3_1(a106)
    | ~ c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_9058]) ).

tcf(c_9214,plain,
    ( c0_1(a106)
    | ~ iPr_def_11
    | ~ c1_1(a106)
    | ~ c2_1(a106) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

tcf(c_9215,plain,
    ( c1_1(a106)
    | c0_1(a106)
    | ~ iPr_def_39
    | ~ c3_1(a106) ),
    inference(instantiation,[status(thm)],[c_9076]) ).

tcf(c_9221,plain,
    ( c2_1(a107)
    | ~ iPr_def_31
    | ~ c1_1(a107)
    | ~ c3_1(a107) ),
    inference(instantiation,[status(thm)],[c_9064]) ).

tcf(c_9229,plain,
    ( c1_1(a112)
    | c0_1(a112)
    | ~ iPr_def_39
    | ~ c3_1(a112) ),
    inference(instantiation,[status(thm)],[c_9076]) ).

tcf(c_9231,plain,
    ( c2_1(a112)
    | c0_1(a112)
    | ~ iPr_def_30
    | ~ c3_1(a112) ),
    inference(instantiation,[status(thm)],[c_9062]) ).

tcf(c_9233,plain,
    ( c1_1(a112)
    | c2_1(a112)
    | ~ iPr_def_21
    | ~ c3_1(a112) ),
    inference(instantiation,[status(thm)],[c_9049]) ).

tcf(c_9235,plain,
    ( c2_1(a113)
    | ~ iPr_def_41
    | ~ c3_1(a113)
    | ~ c0_1(a113) ),
    inference(instantiation,[status(thm)],[c_9084]) ).

tcf(c_9245,plain,
    ( c2_1(a113)
    | ~ iPr_def_12
    | ~ c1_1(a113)
    | ~ c0_1(a113) ),
    inference(instantiation,[status(thm)],[c_9036]) ).

tcf(c_9263,plain,
    ( c1_1(a124)
    | ~ iPr_def_15
    | ~ c2_1(a124)
    | ~ c0_1(a124) ),
    inference(instantiation,[status(thm)],[c_9040]) ).

tcf(c_9265,plain,
    ( c3_1(a124)
    | c0_1(a124)
    | ~ iPr_def_37
    | ~ c2_1(a124) ),
    inference(instantiation,[status(thm)],[c_9073]) ).

tcf(c_9268,plain,
    ( c1_1(a124)
    | c0_1(a124)
    | ~ iPr_def_19
    | ~ c2_1(a124) ),
    inference(instantiation,[status(thm)],[c_9046]) ).

tcf(c_9269,plain,
    ( c1_1(a124)
    | c3_1(a124)
    | ~ iPr_def_17
    | ~ c2_1(a124) ),
    inference(instantiation,[status(thm)],[c_9043]) ).

tcf(c_9278,plain,
    ( c1_1(a112)
    | ~ iPr_def_14
    | ~ c3_1(a112)
    | ~ c2_1(a112) ),
    inference(instantiation,[status(thm)],[c_9039]) ).

tcf(c_9310,plain,
    ( c1_1(a129)
    | ~ iPr_def_15
    | ~ c2_1(a129)
    | ~ c0_1(a129) ),
    inference(instantiation,[status(thm)],[c_9040]) ).

tcf(c_9311,plain,
    ( c1_1(a129)
    | c3_1(a129)
    | ~ iPr_def_17
    | ~ c2_1(a129) ),
    inference(instantiation,[status(thm)],[c_9043]) ).

tcf(c_9333,plain,
    ( c2_1(a130)
    | ~ iPr_def_41
    | ~ c3_1(a130)
    | ~ c0_1(a130) ),
    inference(instantiation,[status(thm)],[c_9084]) ).

tcf(c_9334,plain,
    ( c2_1(a130)
    | ~ iPr_def_31
    | ~ c1_1(a130)
    | ~ c3_1(a130) ),
    inference(instantiation,[status(thm)],[c_9064]) ).

tcf(c_9348,plain,
    ( c2_1(a138)
    | ~ iPr_def_41
    | ~ c3_1(a138)
    | ~ c0_1(a138) ),
    inference(instantiation,[status(thm)],[c_9084]) ).

tcf(c_9356,plain,
    ( c0_1(a105)
    | ~ iPr_def_11
    | ~ c1_1(a105)
    | ~ c2_1(a105) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

tcf(c_9368,plain,
    ( c0_1(a130)
    | ~ iPr_def_29
    | ~ c1_1(a130)
    | ~ c3_1(a130) ),
    inference(instantiation,[status(thm)],[c_9061]) ).

tcf(c_9377,plain,
    ( c0_1(a104)
    | ~ iPr_def_11
    | ~ c1_1(a104)
    | ~ c2_1(a104) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

tcf(c_9384,plain,
    ( c1_1(a122)
    | c2_1(a122)
    | ~ iPr_def_23
    | ~ c0_1(a122) ),
    inference(instantiation,[status(thm)],[c_9052]) ).

tcf(c_9386,plain,
    ( c1_1(a132)
    | c2_1(a132)
    | ~ iPr_def_23
    | ~ c0_1(a132) ),
    inference(instantiation,[status(thm)],[c_9052]) ).

tcf(c_9390,plain,
    ( c1_1(a129)
    | ~ iPr_def_26
    | ~ c3_1(a129)
    | ~ c0_1(a129) ),
    inference(instantiation,[status(thm)],[c_9056]) ).

tcf(c_9409,plain,
    ( c1_1(a132)
    | c3_1(a132)
    | c2_1(a132)
    | ~ iPr_def_35 ),
    inference(instantiation,[status(thm)],[c_9070]) ).

tcf(c_9412,plain,
    ( c1_1(a112)
    | c2_1(a112)
    | c0_1(a112)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_9074]) ).

tcf(c_9415,plain,
    ( c1_1(a132)
    | c2_1(a132)
    | c0_1(a132)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_9074]) ).

tcf(c_9417,plain,
    ( c1_1(a99)
    | c3_1(a99)
    | c0_1(a99)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_9055]) ).

tcf(c_9431,plain,
    ( hskp0
    | c3_1(a103)
    | ~ c1_1(a103)
    | ~ c0_1(a103) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_9433,plain,
    ( hskp0
    | c3_1(a105)
    | ~ c1_1(a105)
    | ~ c0_1(a105) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_9435,plain,
    ( hskp0
    | c3_1(a116)
    | ~ c1_1(a116)
    | ~ c0_1(a116) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_9465,plain,
    ( c1_1(a98)
    | c3_1(a98)
    | ~ iPr_def_33
    | ~ c0_1(a98) ),
    inference(instantiation,[status(thm)],[c_9066]) ).

tcf(c_9489,plain,
    ( c3_1(a104)
    | c0_1(a104)
    | ~ iPr_def_37
    | ~ c2_1(a104) ),
    inference(instantiation,[status(thm)],[c_9073]) ).

tcf(c_9494,plain,
    ( c1_1(a104)
    | c3_1(a104)
    | c0_1(a104)
    | ~ iPr_def_25 ),
    inference(instantiation,[status(thm)],[c_9055]) ).

tcf(c_9517,plain,
    ( c1_1(a107)
    | ~ iPr_def_26
    | ~ c3_1(a107)
    | ~ c0_1(a107) ),
    inference(instantiation,[status(thm)],[c_9056]) ).

tcf(c_9526,plain,
    ( c1_1(a107)
    | c2_1(a107)
    | c0_1(a107)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_9074]) ).

tcf(c_9541,plain,
    ( c0_1(a108)
    | ~ iPr_def_11
    | ~ c1_1(a108)
    | ~ c2_1(a108) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

tcf(c_9549,plain,
    ( hskp0
    | c3_1(a113)
    | ~ c1_1(a113)
    | ~ c0_1(a113) ),
    inference(instantiation,[status(thm)],[c_405]) ).

tcf(c_9561,plain,
    ( c2_1(a113)
    | ~ iPr_def_31
    | ~ c1_1(a113)
    | ~ c3_1(a113) ),
    inference(instantiation,[status(thm)],[c_9064]) ).

tcf(c_9592,plain,
    ( c3_1(a121)
    | c2_1(a121)
    | c0_1(a121)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_9059]) ).

tcf(c_9611,plain,
    ( c3_1(a173)
    | c0_1(a173)
    | ~ iPr_def_18
    | ~ c1_1(a173) ),
    inference(instantiation,[status(thm)],[c_9045]) ).

tcf(c_9612,plain,
    ( c0_1(a173)
    | ~ iPr_def_11
    | ~ c1_1(a173)
    | ~ c2_1(a173) ),
    inference(instantiation,[status(thm)],[c_9035]) ).

tcf(c_9614,plain,
    ( c3_1(a173)
    | c2_1(a173)
    | c0_1(a173)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_9059]) ).

tcf(c_9616,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_9614,c_9611,c_9612,c_9592,c_9561,c_9549,c_9541,c_9526,c_9517,c_9489,c_9494,c_9465,c_9435,c_9433,c_9431,c_9417,c_9415,c_9412,c_9409,c_9390,c_9386,c_9384,c_9377,c_9368,c_9356,c_9348,c_9333,c_9334,c_9310,c_9311,c_9278,c_9263,c_9265,c_9268,c_9269,c_9235,c_9245,c_9229,c_9231,c_9233,c_9221,c_9215,c_9209,c_9214,c_9192,c_9194,c_9195,c_9198,c_9178,c_9180,c_9181,c_9168,c_9169,c_9171,c_9172,c_9176,c_9156,c_9128,c_9127,c_9118,c_9116,c_9115,c_9114,c_9112,c_9110,c_9109,c_9108,c_9104,c_9102,c_9099,c_9096,c_9093,c_9088,c_9086,c_9081,c_9080,c_9079,c_9077,c_9075,c_9067,c_9063,c_9060,c_9057,c_9053,c_9037,c_8010,c_8000,c_7990,c_4665,c_4655,c_4645,c_4182,c_4172,c_4162,c_3372,c_3362,c_3352,c_2355,c_2348,c_2341,c_511,c_51,c_52,c_55,c_56,c_59,c_60,c_64,c_68,c_71,c_72,c_76,c_80,c_83,c_84,c_88,c_95,c_96,c_100,c_110,c_111,c_112,c_115,c_116,c_119,c_120,c_124,c_128,c_130,c_131,c_132,c_151,c_152,c_50,c_54,c_58,c_62,c_63,c_66,c_67,c_70,c_74,c_75,c_78,c_79,c_82,c_86,c_87,c_94,c_98,c_99,c_114,c_118,c_122,c_123,c_126,c_127,c_150]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN501+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n020.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 01:34:34 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.09/0.42  
% 0.09/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42  
% 0.09/0.42  % Detected problem language: tptp
% 0.09/0.43  % Proving...
% 4.46/1.28  % SZS status Started for theBenchmark.p
% 4.46/1.28  % SZS status Theorem for theBenchmark.p
% 4.46/1.28  
% 4.46/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.46/1.28  
% 4.46/1.28  % ------  iProver source info
% 4.46/1.28  
% 4.46/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.46/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.46/1.28  % git: non_committed_changes: false
% 4.46/1.28  
% 4.46/1.28  % ------ Parsing...
% 4.46/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.46/1.28  
% 4.46/1.28  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e % 
% 4.46/1.28  
% 4.46/1.28  % ------ Preprocessing... gs_s  sp: 118 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.46/1.28  % ------ Proving...
% 4.46/1.28  % ------ Problem Properties 
% 4.46/1.28  
% 4.46/1.28  % 
% 4.46/1.28  % clauses                               201
% 4.46/1.28  % conjectures                           198
% 4.46/1.28  % EPR                                   201
% 4.46/1.28  % Horn                                  104
% 4.46/1.28  % unary                                 0
% 4.46/1.28  % binary                                88
% 4.46/1.28  % lits                                  549
% 4.46/1.28  % lits eq                               0
% 4.46/1.28  % fd_pure                               0
% 4.46/1.28  % fd_pseudo                             0
% 4.46/1.28  % fd_cond                               0
% 4.46/1.28  % fd_pseudo_cond                        0
% 4.46/1.28  % AC symbols                            0
% 4.46/1.28  
% 4.46/1.28  % ------ Input Options Time Limit: Unbounded
% 4.46/1.28  
% 4.46/1.28  
% 4.46/1.28  % ------ 
% 4.46/1.28  % Current options:
% 4.46/1.28  % ------ 
% 4.46/1.28  
% 4.46/1.28  
% 4.46/1.28  % 
% 4.46/1.28  
% 4.46/1.28  % ------ Proving...
% 4.46/1.28  % 
% 4.46/1.28  
% 4.46/1.28  % SZS status Theorem for theBenchmark.p
% 4.46/1.28  
% 4.46/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.46/1.28  
% 4.46/1.28  
%------------------------------------------------------------------------------