TSTP Solution File: SYN501+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN501+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:07:57 EDT 2023

% Result   : Theorem 3.48s 1.18s
% Output   : CNFRefutation 3.48s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f212)

% 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/sandbox2/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,[],[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
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp29
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c1_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp25
          | hskp16
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp6
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp8
          | hskp18
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp0
          | hskp29
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp19
          | hskp27
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp2
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp11
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp7
          | hskp4
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp20
          | hskp7
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp2
          | hskp16
          | ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp11
          | hskp18
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp17
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp19
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp7
          | hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp1
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp24
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c1_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp17
          | hskp23
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp19
          | hskp1
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp21
          | hskp22
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp18
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c1_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp6
          | hskp22
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c2_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp28
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c2_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp21
          | hskp2
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c2_1(X41)
                | c1_1(X41) ) ) )
        & ( hskp20
          | hskp6
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c2_1(X42)
                | c1_1(X42) ) ) )
        & ( hskp20
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c0_1(X45)
                | c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c0_1(X46)
                | c1_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) ) )
        & ( hskp4
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c0_1(X49)
                | c2_1(X49)
                | c1_1(X49) ) ) )
        & ( hskp19
          | hskp18
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp15
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c0_1(X51)
                | c3_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c1_1(X53)
                | c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp17
          | hskp9
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp1
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | ~ c0_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp0
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c0_1(X63)
                | c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp15
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | hskp1
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | c3_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp11
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp5
          | hskp13
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp10
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp10
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp12
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp11
          | hskp5
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp10
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp6
          | hskp9
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp8
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c2_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp7
          | hskp6
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( hskp5
          | hskp4
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp1
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c3_1(X100)
                | c1_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( hskp27
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c2_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c1_1(X104)
                | c0_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c1_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | c3_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c0_1(X110)
                | c1_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( c3_1(X111)
                | c1_1(X111)
                | c0_1(X111) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | c3_1(X112)
                | c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp2
          | hskp1
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( hskp0
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | c2_1(X116)
                | c0_1(X116) ) )
          | ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | c1_1(X117)
                | c0_1(X117) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | c3_1(X118)
                | c0_1(X118) ) )
          | ! [X119] :
              ( ndr1_0
             => ( ~ c2_1(X119)
                | c1_1(X119)
                | c0_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( c2_1(X120)
                | c1_1(X120)
                | c0_1(X120) ) ) )
        & ( ( 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(rectify,[],[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
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp29
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c1_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp25
      | hskp16
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp6
      | ! [X3] :
          ( ndr1_0
         => ( ~ c1_1(X3)
            | ~ c0_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp8
      | hskp18
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp0
      | hskp29
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp2
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp11
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp7
      | hskp4
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp20
      | hskp7
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp2
      | hskp16
      | ! [X14] :
          ( ndr1_0
         => ( ~ c0_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp11
      | hskp18
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp17
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp19
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp7
      | hskp4
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp1
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp24
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c1_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp17
      | hskp23
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp19
      | hskp1
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp21
      | hskp22
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | ~ c2_1(X30)
            | ~ c1_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp18
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c1_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp6
      | hskp22
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | c2_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp28
      | ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | c2_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp21
      | hskp2
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c2_1(X41)
            | c1_1(X41) ) ) )
    & ( hskp20
      | hskp6
      | ! [X42] :
          ( ndr1_0
         => ( ~ c0_1(X42)
            | c2_1(X42)
            | c1_1(X42) ) ) )
    & ( hskp20
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( ~ c2_1(X45)
            | ~ c0_1(X45)
            | c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c0_1(X46)
            | c1_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) ) )
    & ( hskp4
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | c3_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c0_1(X49)
            | c2_1(X49)
            | c1_1(X49) ) ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp15
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c0_1(X51)
            | c3_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c1_1(X53)
            | c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( c3_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp17
      | hskp9
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c2_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp1
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | ~ c0_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp17
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp0
      | ! [X61] :
          ( ndr1_0
         => ( ~ c0_1(X61)
            | c3_1(X61)
            | c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c0_1(X63)
            | c3_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | ~ c0_1(X66)
            | c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp15
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | c0_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | hskp1
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | c3_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp11
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | ~ c0_1(X71)
            | c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c3_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp5
      | hskp13
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c1_1(X75)
            | c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp10
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | ~ c1_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c1_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp10
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c1_1(X82)
            | c0_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp12
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp11
      | hskp5
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp10
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( c3_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c1_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp6
      | hskp9
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp8
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c2_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp1
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c3_1(X100)
            | c1_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( hskp27
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c2_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp3
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | ~ c1_1(X104)
            | c0_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( ~ c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c2_1(X106)
            | ~ c1_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c1_1(X107)
            | c3_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( ! [X109] :
          ( ndr1_0
         => ( ~ c1_1(X109)
            | ~ c0_1(X109)
            | c3_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( ~ c3_1(X110)
            | ~ c0_1(X110)
            | c1_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( c3_1(X111)
            | c1_1(X111)
            | c0_1(X111) ) ) )
    & ( ! [X112] :
          ( ndr1_0
         => ( ~ c1_1(X112)
            | c3_1(X112)
            | c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) )
      | ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp2
      | hskp1
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( hskp0
      | ! [X116] :
          ( ndr1_0
         => ( ~ c3_1(X116)
            | c2_1(X116)
            | c0_1(X116) ) )
      | ! [X117] :
          ( ndr1_0
         => ( c2_1(X117)
            | c1_1(X117)
            | c0_1(X117) ) ) )
    & ( ! [X118] :
          ( ndr1_0
         => ( ~ c2_1(X118)
            | c3_1(X118)
            | c0_1(X118) ) )
      | ! [X119] :
          ( ndr1_0
         => ( ~ c2_1(X119)
            | c1_1(X119)
            | c0_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( c2_1(X120)
            | c1_1(X120)
            | c0_1(X120) ) ) )
    & ( ( 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,[],[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
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp16
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp18
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp16
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp18
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp23
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp1
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp22
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp22
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp2
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c0_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp13
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp5
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp9
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | c3_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c1_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | c3_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c3_1(X116)
          | c2_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c2_1(X118)
          | c3_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( 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,[],[f4]) ).

fof(f6,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
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp27
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp16
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X3] :
          ( ~ c1_1(X3)
          | ~ c0_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp18
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp7
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp16
      | ! [X14] :
          ( ~ c0_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp18
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp3
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp4
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X20] :
          ( ~ c1_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp24
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp23
      | ! [X27] :
          ( ~ c2_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp1
      | ! [X28] :
          ( ~ c2_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp22
      | ! [X29] :
          ( ~ c2_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( ! [X30] :
          ( ~ c3_1(X30)
          | ~ c2_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c3_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c1_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp22
      | ! [X38] :
          ( ~ c3_1(X38)
          | c2_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c2_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp2
      | ! [X41] :
          ( ~ c0_1(X41)
          | c2_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp6
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | c1_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c0_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( ~ c2_1(X45)
          | ~ c0_1(X45)
          | c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c0_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X48] :
          ( ~ c2_1(X48)
          | c3_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c0_1(X49)
          | c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c0_1(X51)
          | c3_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c1_1(X53)
          | c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( c3_1(X55)
          | c2_1(X55)
          | c1_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp9
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c2_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X61] :
          ( ~ c0_1(X61)
          | c3_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X63] :
          ( ~ c2_1(X63)
          | ~ c0_1(X63)
          | c3_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c1_1(X66)
          | ~ c0_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X68] :
          ( ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c2_1(X69)
          | ~ c1_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X70] :
          ( ~ c2_1(X70)
          | c3_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X71] :
          ( ~ c1_1(X71)
          | ~ c0_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c3_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp13
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X77] :
          ( ~ c3_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c1_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c1_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c1_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X84] :
          ( ~ c2_1(X84)
          | ~ c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c1_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp5
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( c3_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c3_1(X92)
          | ~ c0_1(X92)
          | c1_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp9
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X96] :
          ( ~ c3_1(X96)
          | c2_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X98] :
          ( ~ c2_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X100] :
          ( ~ c2_1(X100)
          | c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X102] :
          ( ~ c3_1(X102)
          | c2_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c2_1(X104)
          | ~ c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( ~ c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c2_1(X106)
          | ~ c1_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c1_1(X107)
          | c3_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( ~ c2_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( ! [X109] :
          ( ~ c1_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( ~ c3_1(X110)
          | ~ c0_1(X110)
          | c1_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( c3_1(X111)
          | c1_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 ) )
    & ( ! [X112] :
          ( ~ c1_1(X112)
          | c3_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( ~ c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 )
      | ! [X114] :
          ( c3_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X116] :
          ( ~ c3_1(X116)
          | c2_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 )
      | ! [X117] :
          ( c2_1(X117)
          | c1_1(X117)
          | c0_1(X117)
          | ~ ndr1_0 ) )
    & ( ! [X118] :
          ( ~ c2_1(X118)
          | c3_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 )
      | ! [X119] :
          ( ~ c2_1(X119)
          | c1_1(X119)
          | c0_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( c2_1(X120)
          | c1_1(X120)
          | c0_1(X120)
          | ~ ndr1_0 ) )
    & ( ( 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,[],[f5]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ( c0_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c2_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c3_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( c0_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( ~ c1_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c3_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c2_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c1_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( c0_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( c2_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c3_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c2_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( ~ c0_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( ~ c3_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c1_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c2_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( ~ c3_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( c2_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c3_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( ~ c0_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f43,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( c1_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c2_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( ~ c0_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( c1_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c2_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( ~ c3_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( c3_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( ~ c0_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f54,plain,
    ( ~ c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f56,plain,
    ( c0_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f57,plain,
    ( c1_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f60,plain,
    ( c0_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f61,plain,
    ( c1_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f62,plain,
    ( ~ c3_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f68,plain,
    ( ~ c0_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f69,plain,
    ( ~ c2_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f70,plain,
    ( ~ c3_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f72,plain,
    ( c0_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f73,plain,
    ( ~ c1_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f74,plain,
    ( ~ c2_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f76,plain,
    ( c2_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f77,plain,
    ( ~ c1_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f78,plain,
    ( ~ c3_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f80,plain,
    ( c0_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f81,plain,
    ( c2_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f82,plain,
    ( ~ c1_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f84,plain,
    ( c1_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f85,plain,
    ( c3_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f86,plain,
    ( ~ c2_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f88,plain,
    ( ~ c1_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f89,plain,
    ( ~ c2_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f90,plain,
    ( ~ c3_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f92,plain,
    ( c3_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f93,plain,
    ( ~ c1_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f94,plain,
    ( ~ c2_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f96,plain,
    ( c0_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f97,plain,
    ( c3_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f98,plain,
    ( ~ c2_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f104,plain,
    ( ~ c0_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f105,plain,
    ( ~ c1_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f106,plain,
    ( ~ c3_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f108,plain,
    ( c1_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f109,plain,
    ( ~ c0_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f110,plain,
    ( ~ c3_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f115,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f116,plain,
    ( c0_1(a101)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f117,plain,
    ( c1_1(a101)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f118,plain,
    ( c3_1(a101)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f129,plain,
    ! [X115] :
      ( hskp2
      | hskp1
      | c2_1(X115)
      | c1_1(X115)
      | c0_1(X115)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f136,plain,
    ! [X99] :
      ( hskp5
      | hskp4
      | ~ c2_1(X99)
      | c1_1(X99)
      | c0_1(X99)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f137,plain,
    ! [X98] :
      ( hskp7
      | hskp6
      | ~ c2_1(X98)
      | c1_1(X98)
      | c0_1(X98)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f158,plain,
    ! [X56] :
      ( hskp17
      | hskp9
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | c0_1(X56)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f161,plain,
    ! [X50] :
      ( hskp19
      | hskp18
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f172,plain,
    ! [X29] :
      ( hskp21
      | hskp22
      | ~ c2_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f178,plain,
    ! [X19] :
      ( hskp7
      | hskp4
      | ~ c2_1(X19)
      | ~ c0_1(X19)
      | c1_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f183,plain,
    ! [X13] :
      ( hskp20
      | hskp7
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f188,plain,
    ! [X6] :
      ( hskp0
      | hskp29
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f190,plain,
    ! [X4] :
      ( hskp0
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f191,plain,
    ! [X3] :
      ( hskp6
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | c3_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f192,plain,
    ! [X2] :
      ( hskp25
      | hskp16
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f196,plain,
    ( hskp2
    | hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f197,plain,
    ( hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f199,plain,
    ( hskp20
    | hskp4
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f200,plain,
    ( hskp17
    | hskp19
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_55,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp18 ),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_56,negated_conjecture,
    ( hskp18
    | hskp20
    | hskp4 ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_58,negated_conjecture,
    ( hskp13
    | hskp12 ),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_59,negated_conjecture,
    ( hskp2
    | hskp9
    | hskp27 ),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_63,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp16
    | hskp25 ),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_64,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp6 ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_65,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp0 ),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_67,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp0
    | hskp29 ),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_69,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp2 ),
    inference(cnf_transformation,[],[f207]) ).

cnf(c_70,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | hskp11 ),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_72,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | hskp20
    | hskp7 ),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_77,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c1_1(X0)
    | hskp4
    | hskp7 ),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_78,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c1_1(X0)
    | hskp1 ),
    inference(cnf_transformation,[],[f210]) ).

cnf(c_79,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c1_1(X1)
    | hskp24 ),
    inference(cnf_transformation,[],[f211]) ).

cnf(c_80,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_83,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c1_1(X0)
    | hskp22
    | hskp21 ),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_84,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f213]) ).

cnf(c_86,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f215]) ).

cnf(c_92,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f218]) ).

cnf(c_93,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp4 ),
    inference(cnf_transformation,[],[f219]) ).

cnf(c_94,negated_conjecture,
    ( ~ ndr1_0
    | c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp18 ),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_95,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f220]) ).

cnf(c_96,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_97,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | hskp17
    | hskp9 ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_99,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c1_1(X1)
    | hskp17 ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_101,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X1)
    | hskp16 ),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_102,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X2)
    | c0_1(X1) ),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_103,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | hskp15 ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_105,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_107,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_109,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_111,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_113,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(cnf_transformation,[],[f234]) ).

cnf(c_114,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(cnf_transformation,[],[f235]) ).

cnf(c_118,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp6
    | hskp7 ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_119,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c1_1(X0)
    | hskp5
    | hskp4 ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_120,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    inference(cnf_transformation,[],[f238]) ).

cnf(c_121,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp27 ),
    inference(cnf_transformation,[],[f239]) ).

cnf(c_123,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(cnf_transformation,[],[f241]) ).

cnf(c_124,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f242]) ).

cnf(c_125,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f243]) ).

cnf(c_126,negated_conjecture,
    ( ~ ndr1_0
    | c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp1 ),
    inference(cnf_transformation,[],[f129]) ).

cnf(c_127,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ ndr1_0
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cnf_transformation,[],[f244]) ).

cnf(c_128,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f245]) ).

cnf(c_137,negated_conjecture,
    ( ~ hskp27
    | c3_1(a101) ),
    inference(cnf_transformation,[],[f118]) ).

cnf(c_138,negated_conjecture,
    ( ~ hskp27
    | c1_1(a101) ),
    inference(cnf_transformation,[],[f117]) ).

cnf(c_139,negated_conjecture,
    ( ~ hskp27
    | c0_1(a101) ),
    inference(cnf_transformation,[],[f116]) ).

cnf(c_140,negated_conjecture,
    ( ~ hskp27
    | ndr1_0 ),
    inference(cnf_transformation,[],[f115]) ).

cnf(c_145,negated_conjecture,
    ( ~ c3_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f110]) ).

cnf(c_146,negated_conjecture,
    ( ~ c0_1(a173)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f109]) ).

cnf(c_147,negated_conjecture,
    ( ~ hskp25
    | c1_1(a173) ),
    inference(cnf_transformation,[],[f108]) ).

cnf(c_149,negated_conjecture,
    ( ~ c3_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f106]) ).

cnf(c_150,negated_conjecture,
    ( ~ c1_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f105]) ).

cnf(c_151,negated_conjecture,
    ( ~ c0_1(a147)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_157,negated_conjecture,
    ( ~ c2_1(a138)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f98]) ).

cnf(c_158,negated_conjecture,
    ( ~ hskp22
    | c3_1(a138) ),
    inference(cnf_transformation,[],[f97]) ).

cnf(c_159,negated_conjecture,
    ( ~ hskp22
    | c0_1(a138) ),
    inference(cnf_transformation,[],[f96]) ).

cnf(c_161,negated_conjecture,
    ( ~ c2_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f94]) ).

cnf(c_162,negated_conjecture,
    ( ~ c1_1(a136)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f93]) ).

cnf(c_163,negated_conjecture,
    ( ~ hskp21
    | c3_1(a136) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_165,negated_conjecture,
    ( ~ c3_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f90]) ).

cnf(c_166,negated_conjecture,
    ( ~ c2_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f89]) ).

cnf(c_167,negated_conjecture,
    ( ~ c1_1(a132)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f88]) ).

cnf(c_169,negated_conjecture,
    ( ~ c2_1(a130)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_170,negated_conjecture,
    ( ~ hskp19
    | c3_1(a130) ),
    inference(cnf_transformation,[],[f85]) ).

cnf(c_171,negated_conjecture,
    ( ~ hskp19
    | c1_1(a130) ),
    inference(cnf_transformation,[],[f84]) ).

cnf(c_173,negated_conjecture,
    ( ~ c1_1(a129)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f82]) ).

cnf(c_174,negated_conjecture,
    ( ~ hskp18
    | c2_1(a129) ),
    inference(cnf_transformation,[],[f81]) ).

cnf(c_175,negated_conjecture,
    ( ~ hskp18
    | c0_1(a129) ),
    inference(cnf_transformation,[],[f80]) ).

cnf(c_177,negated_conjecture,
    ( ~ c3_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f78]) ).

cnf(c_178,negated_conjecture,
    ( ~ c1_1(a124)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f77]) ).

cnf(c_179,negated_conjecture,
    ( ~ hskp17
    | c2_1(a124) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_181,negated_conjecture,
    ( ~ c2_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_182,negated_conjecture,
    ( ~ c1_1(a122)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_183,negated_conjecture,
    ( ~ hskp16
    | c0_1(a122) ),
    inference(cnf_transformation,[],[f72]) ).

cnf(c_185,negated_conjecture,
    ( ~ c3_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_186,negated_conjecture,
    ( ~ c2_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f69]) ).

cnf(c_187,negated_conjecture,
    ( ~ c0_1(a121)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_193,negated_conjecture,
    ( ~ c3_1(a116)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_194,negated_conjecture,
    ( ~ hskp13
    | c1_1(a116) ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_195,negated_conjecture,
    ( ~ hskp13
    | c0_1(a116) ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_197,negated_conjecture,
    ( ~ c2_1(a113)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_198,negated_conjecture,
    ( ~ hskp12
    | c1_1(a113) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_199,negated_conjecture,
    ( ~ hskp12
    | c0_1(a113) ),
    inference(cnf_transformation,[],[f56]) ).

cnf(c_201,negated_conjecture,
    ( ~ c1_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f54]) ).

cnf(c_202,negated_conjecture,
    ( ~ c0_1(a112)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_203,negated_conjecture,
    ( ~ hskp11
    | c3_1(a112) ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_205,negated_conjecture,
    ( ~ c3_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_206,negated_conjecture,
    ( ~ c2_1(a110)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_207,negated_conjecture,
    ( ~ hskp10
    | c1_1(a110) ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_209,negated_conjecture,
    ( ~ c0_1(a108)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_210,negated_conjecture,
    ( ~ hskp9
    | c2_1(a108) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_211,negated_conjecture,
    ( ~ hskp9
    | c1_1(a108) ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_212,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_217,negated_conjecture,
    ( ~ c0_1(a106)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_218,negated_conjecture,
    ( ~ hskp7
    | c3_1(a106) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_219,negated_conjecture,
    ( ~ hskp7
    | c2_1(a106) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_221,negated_conjecture,
    ( ~ c3_1(a105)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_222,negated_conjecture,
    ( ~ hskp6
    | c2_1(a105) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_223,negated_conjecture,
    ( ~ hskp6
    | c1_1(a105) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_225,negated_conjecture,
    ( ~ c3_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_226,negated_conjecture,
    ( ~ c0_1(a104)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_227,negated_conjecture,
    ( ~ hskp5
    | c2_1(a104) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_229,negated_conjecture,
    ( ~ c3_1(a103)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_230,negated_conjecture,
    ( ~ hskp4
    | c2_1(a103) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_231,negated_conjecture,
    ( ~ hskp4
    | c0_1(a103) ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_237,negated_conjecture,
    ( ~ c1_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_238,negated_conjecture,
    ( ~ c0_1(a99)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_239,negated_conjecture,
    ( ~ hskp2
    | c2_1(a99) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_240,negated_conjecture,
    ( ~ hskp2
    | ndr1_0 ),
    inference(cnf_transformation,[],[f15]) ).

cnf(c_241,negated_conjecture,
    ( ~ c3_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_242,negated_conjecture,
    ( ~ c1_1(a98)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_243,negated_conjecture,
    ( ~ hskp1
    | c0_1(a98) ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_245,negated_conjecture,
    ( ~ c3_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_246,negated_conjecture,
    ( ~ c2_1(a97)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_247,negated_conjecture,
    ( ~ hskp0
    | c0_1(a97) ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_248,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_284,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_248,c_240,c_212,c_140,c_59]) ).

cnf(c_344,negated_conjecture,
    ( c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp2
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_126,c_240,c_212,c_140,c_59,c_126]) ).

cnf(c_350,negated_conjecture,
    ( c3_1(X0)
    | c2_1(X0)
    | c1_1(X0)
    | hskp19
    | hskp18 ),
    inference(global_subsumption_just,[status(thm)],[c_94,c_240,c_212,c_140,c_59,c_94]) ).

cnf(c_353,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp5
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_119,c_240,c_212,c_140,c_59,c_119]) ).

cnf(c_356,negated_conjecture,
    ( ~ c2_1(X0)
    | c0_1(X0)
    | c1_1(X0)
    | hskp6
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_118,c_240,c_212,c_140,c_59,c_118]) ).

cnf(c_377,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c1_1(X0)
    | hskp22
    | hskp21 ),
    inference(global_subsumption_just,[status(thm)],[c_83,c_240,c_212,c_140,c_59,c_83]) ).

cnf(c_395,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp6 ),
    inference(global_subsumption_just,[status(thm)],[c_64,c_240,c_212,c_140,c_59,c_64]) ).

cnf(c_396,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp6 ),
    inference(renaming,[status(thm)],[c_395]) ).

cnf(c_398,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_97,c_240,c_212,c_140,c_59,c_97]) ).

cnf(c_399,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | hskp17
    | hskp9 ),
    inference(renaming,[status(thm)],[c_398]) ).

cnf(c_401,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c1_1(X0)
    | hskp4
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_77,c_240,c_212,c_140,c_59,c_77]) ).

cnf(c_402,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c1_1(X0)
    | hskp4
    | hskp7 ),
    inference(renaming,[status(thm)],[c_401]) ).

cnf(c_407,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | hskp20
    | hskp7 ),
    inference(global_subsumption_just,[status(thm)],[c_72,c_240,c_212,c_140,c_59,c_72]) ).

cnf(c_408,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c2_1(X0)
    | hskp20
    | hskp7 ),
    inference(renaming,[status(thm)],[c_407]) ).

cnf(c_416,plain,
    ( hskp0
    | c3_1(X0)
    | ~ c0_1(X0)
    | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_67,c_240,c_212,c_140,c_59,c_65]) ).

cnf(c_417,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | c3_1(X0)
    | hskp0 ),
    inference(renaming,[status(thm)],[c_416]) ).

cnf(c_421,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp25 ),
    inference(global_subsumption_just,[status(thm)],[c_63,c_240,c_212,c_140,c_59,c_63]) ).

cnf(c_422,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp16
    | hskp25 ),
    inference(renaming,[status(thm)],[c_421]) ).

cnf(c_430,negated_conjecture,
    ( ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(global_subsumption_just,[status(thm)],[c_127,c_240,c_212,c_140,c_59,c_127]) ).

cnf(c_433,plain,
    ( ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp27 ),
    inference(global_subsumption_just,[status(thm)],[c_121,c_240,c_212,c_140,c_59,c_121]) ).

cnf(c_434,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | c2_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp27 ),
    inference(renaming,[status(thm)],[c_433]) ).

cnf(c_435,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_120,c_240,c_212,c_140,c_59,c_120]) ).

cnf(c_436,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X0)
    | c0_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_435]) ).

cnf(c_441,plain,
    ( ~ c1_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(global_subsumption_just,[status(thm)],[c_113,c_240,c_212,c_140,c_59,c_113]) ).

cnf(c_442,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | c2_1(X1)
    | c0_1(X1)
    | hskp10 ),
    inference(renaming,[status(thm)],[c_441]) ).

cnf(c_443,plain,
    ( ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c1_1(X1)
    | hskp17 ),
    inference(global_subsumption_just,[status(thm)],[c_99,c_240,c_212,c_140,c_59,c_99]) ).

cnf(c_444,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c1_1(X1)
    | hskp17 ),
    inference(renaming,[status(thm)],[c_443]) ).

cnf(c_445,plain,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_95,c_240,c_212,c_140,c_59,c_95]) ).

cnf(c_446,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_445]) ).

cnf(c_447,plain,
    ( ~ c0_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp4 ),
    inference(global_subsumption_just,[status(thm)],[c_93,c_240,c_212,c_140,c_59,c_93]) ).

cnf(c_448,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X1)
    | c3_1(X0)
    | c2_1(X1)
    | c1_1(X0)
    | c1_1(X1)
    | hskp4 ),
    inference(renaming,[status(thm)],[c_447]) ).

cnf(c_451,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(global_subsumption_just,[status(thm)],[c_111,c_240,c_212,c_140,c_59,c_111]) ).

cnf(c_452,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp12 ),
    inference(renaming,[status(thm)],[c_451]) ).

cnf(c_457,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_105,c_240,c_212,c_140,c_59,c_105]) ).

cnf(c_458,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_457]) ).

cnf(c_466,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | hskp15 ),
    inference(global_subsumption_just,[status(thm)],[c_103,c_240,c_212,c_140,c_59,c_103]) ).

cnf(c_467,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X0)
    | c0_1(X1)
    | hskp15 ),
    inference(renaming,[status(thm)],[c_466]) ).

cnf(c_469,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X1)
    | hskp16 ),
    inference(global_subsumption_just,[status(thm)],[c_101,c_240,c_212,c_140,c_59,c_101]) ).

cnf(c_470,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c0_1(X1)
    | hskp16 ),
    inference(renaming,[status(thm)],[c_469]) ).

cnf(c_473,plain,
    ( ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c1_1(X1)
    | hskp24 ),
    inference(global_subsumption_just,[status(thm)],[c_79,c_240,c_212,c_140,c_59,c_79]) ).

cnf(c_474,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | c2_1(X0)
    | c1_1(X1)
    | hskp24 ),
    inference(renaming,[status(thm)],[c_473]) ).

cnf(c_475,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X1)
    | c1_1(X0)
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_78,c_240,c_212,c_140,c_59,c_78]) ).

cnf(c_476,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c1_1(X0)
    | hskp1 ),
    inference(renaming,[status(thm)],[c_475]) ).

cnf(c_479,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | hskp11 ),
    inference(global_subsumption_just,[status(thm)],[c_70,c_240,c_212,c_140,c_59,c_70]) ).

cnf(c_480,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c2_1(X0)
    | hskp11 ),
    inference(renaming,[status(thm)],[c_479]) ).

cnf(c_483,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_69,c_240,c_212,c_140,c_59,c_69]) ).

cnf(c_484,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c2_1(X0)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_483]) ).

cnf(c_485,plain,
    ( ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_128,c_240,c_212,c_140,c_59,c_128]) ).

cnf(c_486,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | c3_1(X0)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_485]) ).

cnf(c_487,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_125,c_240,c_212,c_140,c_59,c_125]) ).

cnf(c_488,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X0)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_487]) ).

cnf(c_491,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_96,c_240,c_212,c_140,c_59,c_96]) ).

cnf(c_492,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_491]) ).

cnf(c_493,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_124,c_240,c_212,c_140,c_59,c_124]) ).

cnf(c_494,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_493]) ).

cnf(c_495,plain,
    ( ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_114,c_240,c_212,c_140,c_59,c_114]) ).

cnf(c_496,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X0)
    | c0_1(X2) ),
    inference(renaming,[status(thm)],[c_495]) ).

cnf(c_497,plain,
    ( ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_107,c_240,c_212,c_140,c_59,c_107]) ).

cnf(c_498,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | c2_1(X0)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

cnf(c_499,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_86,c_240,c_212,c_140,c_59,c_86]) ).

cnf(c_500,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X0)
    | c2_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_499]) ).

cnf(c_501,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_123,c_240,c_212,c_140,c_59,c_123]) ).

cnf(c_502,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c3_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_501]) ).

cnf(c_503,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_109,c_240,c_212,c_140,c_59,c_109]) ).

cnf(c_504,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ c1_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X1) ),
    inference(renaming,[status(thm)],[c_503]) ).

cnf(c_505,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_92,c_240,c_212,c_140,c_59,c_92]) ).

cnf(c_506,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | c3_1(X0)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_505]) ).

cnf(c_507,plain,
    ( ~ c1_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_84,c_240,c_212,c_140,c_59,c_84]) ).

cnf(c_508,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X0)
    | c3_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_507]) ).

cnf(c_509,plain,
    ( ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_102,c_240,c_212,c_140,c_59,c_102]) ).

cnf(c_510,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(renaming,[status(thm)],[c_509]) ).

cnf(c_511,plain,
    ( ~ c0_1(X2)
    | ~ c0_1(X0)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X0)
    | ~ c3_1(X1)
    | ~ c3_1(X0)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_80,c_80,c_284]) ).

cnf(c_512,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c3_1(X1)
    | ~ c2_1(X0)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X0)
    | ~ c0_1(X2)
    | c1_1(X1)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_511]) ).

cnf(c_2312,plain,
    ( c0_1(a116)
    | hskp12 ),
    inference(resolution,[status(thm)],[c_58,c_195]) ).

cnf(c_2319,plain,
    ( c1_1(a116)
    | hskp12 ),
    inference(resolution,[status(thm)],[c_58,c_194]) ).

cnf(c_2326,plain,
    ( ~ c3_1(a116)
    | hskp12 ),
    inference(resolution,[status(thm)],[c_58,c_193]) ).

cnf(c_3899,plain,
    ( ~ c1_1(a132)
    | hskp18
    | hskp4 ),
    inference(resolution,[status(thm)],[c_56,c_167]) ).

cnf(c_3909,plain,
    ( ~ c2_1(a132)
    | hskp18
    | hskp4 ),
    inference(resolution,[status(thm)],[c_56,c_166]) ).

cnf(c_3919,plain,
    ( ~ c3_1(a132)
    | hskp18
    | hskp4 ),
    inference(resolution,[status(thm)],[c_56,c_165]) ).

cnf(c_4157,plain,
    ( c0_1(a101)
    | hskp2
    | hskp9 ),
    inference(resolution,[status(thm)],[c_59,c_139]) ).

cnf(c_4167,plain,
    ( c1_1(a101)
    | hskp2
    | hskp9 ),
    inference(resolution,[status(thm)],[c_59,c_138]) ).

cnf(c_4177,plain,
    ( c3_1(a101)
    | hskp2
    | hskp9 ),
    inference(resolution,[status(thm)],[c_59,c_137]) ).

cnf(c_17344,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP3_iProver_split])],[c_512]) ).

cnf(c_17347,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP5_iProver_split])],[c_510]) ).

cnf(c_17348,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP6_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP6_iProver_split])],[c_510]) ).

cnf(c_17349,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP7_iProver_split])],[c_510]) ).

cnf(c_17350,negated_conjecture,
    ( sP5_iProver_split
    | sP6_iProver_split
    | sP7_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_510]) ).

cnf(c_17351,negated_conjecture,
    ( c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP8_iProver_split])],[c_508]) ).

cnf(c_17352,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP9_iProver_split])],[c_508]) ).

cnf(c_17353,negated_conjecture,
    ( sP3_iProver_split
    | sP8_iProver_split
    | sP9_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).

cnf(c_17354,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | c2_1(X0)
    | ~ sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP10_iProver_split])],[c_506]) ).

cnf(c_17355,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP11_iProver_split])],[c_506]) ).

cnf(c_17356,negated_conjecture,
    ( sP3_iProver_split
    | sP10_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_506]) ).

cnf(c_17357,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP12_iProver_split])],[c_504]) ).

cnf(c_17358,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP13_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP13_iProver_split])],[c_504]) ).

cnf(c_17360,negated_conjecture,
    ( ~ c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP14_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP14_iProver_split])],[c_502]) ).

cnf(c_17361,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | ~ c2_1(X0)
    | ~ sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP15_iProver_split])],[c_502]) ).

cnf(c_17363,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP16_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP16_iProver_split])],[c_500]) ).

cnf(c_17364,negated_conjecture,
    ( c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP17_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP17_iProver_split])],[c_500]) ).

cnf(c_17365,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP18_iProver_split])],[c_500]) ).

cnf(c_17366,negated_conjecture,
    ( sP16_iProver_split
    | sP17_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_500]) ).

cnf(c_17367,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP19_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP19_iProver_split])],[c_498]) ).

cnf(c_17369,negated_conjecture,
    ( c0_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP20_iProver_split])],[c_496]) ).

cnf(c_17370,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP21_iProver_split])],[c_496]) ).

cnf(c_17371,negated_conjecture,
    ( sP5_iProver_split
    | sP20_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

cnf(c_17372,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | ~ sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP22_iProver_split])],[c_494]) ).

cnf(c_17373,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | c3_1(X0)
    | ~ sP23_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP23_iProver_split])],[c_494]) ).

cnf(c_17376,negated_conjecture,
    ( ~ c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP25_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP25_iProver_split])],[c_492]) ).

cnf(c_17377,negated_conjecture,
    ( c1_1(X0)
    | c2_1(X0)
    | c3_1(X0)
    | ~ sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP26_iProver_split])],[c_492]) ).

cnf(c_17378,negated_conjecture,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP27_iProver_split])],[c_492]) ).

cnf(c_17379,negated_conjecture,
    ( sP25_iProver_split
    | sP26_iProver_split
    | sP27_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

cnf(c_17381,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | ~ c3_1(X0)
    | ~ sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP28_iProver_split])],[c_488]) ).

cnf(c_17382,negated_conjecture,
    ( sP14_iProver_split
    | sP23_iProver_split
    | sP28_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

cnf(c_17383,negated_conjecture,
    ( c1_1(X0)
    | c0_1(X0)
    | c2_1(X0)
    | ~ sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP29_iProver_split])],[c_486]) ).

cnf(c_17384,negated_conjecture,
    ( c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | ~ sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP30_iProver_split])],[c_486]) ).

cnf(c_17385,negated_conjecture,
    ( sP15_iProver_split
    | sP29_iProver_split
    | sP30_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_486]) ).

cnf(c_17386,negated_conjecture,
    ( hskp2
    | sP7_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

cnf(c_17388,negated_conjecture,
    ( hskp11
    | sP11_iProver_split
    | sP18_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_480]) ).

cnf(c_17390,negated_conjecture,
    ( hskp1
    | sP3_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_476]) ).

cnf(c_17391,negated_conjecture,
    ( ~ c0_1(X0)
    | c2_1(X0)
    | ~ c3_1(X0)
    | ~ sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP31_iProver_split])],[c_474]) ).

cnf(c_17392,negated_conjecture,
    ( hskp24
    | sP3_iProver_split
    | sP31_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_474]) ).

cnf(c_17395,negated_conjecture,
    ( hskp16
    | sP6_iProver_split
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_470]) ).

cnf(c_17396,negated_conjecture,
    ( hskp15
    | sP6_iProver_split
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_467]) ).

cnf(c_17399,negated_conjecture,
    ( hskp11
    | sP14_iProver_split
    | sP22_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

cnf(c_17402,negated_conjecture,
    ( hskp12
    | sP6_iProver_split
    | sP12_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

cnf(c_17404,negated_conjecture,
    ( hskp4
    | sP8_iProver_split
    | sP10_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

cnf(c_17405,negated_conjecture,
    ( hskp15
    | sP11_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

cnf(c_17406,negated_conjecture,
    ( hskp17
    | sP21_iProver_split
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

cnf(c_17407,negated_conjecture,
    ( hskp10
    | sP18_iProver_split
    | sP20_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

cnf(c_17409,negated_conjecture,
    ( hskp1
    | sP8_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

cnf(c_17410,negated_conjecture,
    ( hskp27
    | sP13_iProver_split
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_434]) ).

cnf(c_17411,negated_conjecture,
    ( hskp0
    | sP19_iProver_split
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_430]) ).

cnf(c_17414,negated_conjecture,
    ( hskp16
    | hskp25
    | sP11_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

cnf(c_17418,negated_conjecture,
    ( hskp20
    | hskp7
    | sP5_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_408]) ).

cnf(c_17420,negated_conjecture,
    ( hskp4
    | hskp7
    | sP3_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_402]) ).

cnf(c_17421,negated_conjecture,
    ( hskp17
    | hskp9
    | sP21_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

cnf(c_17426,negated_conjecture,
    ( hskp22
    | hskp21
    | sP8_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

cnf(c_17433,negated_conjecture,
    ( hskp6
    | hskp7
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_356]) ).

cnf(c_17434,negated_conjecture,
    ( hskp5
    | hskp4
    | sP15_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

cnf(c_17435,negated_conjecture,
    ( hskp19
    | hskp18
    | sP26_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_350]) ).

cnf(c_17437,negated_conjecture,
    ( hskp2
    | hskp1
    | sP29_iProver_split ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_344]) ).

cnf(c_17471,plain,
    ( ~ c2_1(a129)
    | ~ c0_1(a129)
    | ~ sP3_iProver_split
    | c1_1(a129) ),
    inference(instantiation,[status(thm)],[c_17344]) ).

cnf(c_17472,plain,
    ( ~ c2_1(a124)
    | ~ c0_1(a124)
    | ~ sP3_iProver_split
    | c1_1(a124) ),
    inference(instantiation,[status(thm)],[c_17344]) ).

cnf(c_17475,plain,
    ( ~ c2_1(a103)
    | ~ c0_1(a103)
    | ~ sP3_iProver_split
    | c1_1(a103) ),
    inference(instantiation,[status(thm)],[c_17344]) ).

cnf(c_17479,plain,
    ( ~ c0_1(a113)
    | ~ c1_1(a113)
    | ~ sP5_iProver_split
    | c2_1(a113) ),
    inference(instantiation,[status(thm)],[c_17347]) ).

cnf(c_17482,plain,
    ( ~ c3_1(a101)
    | ~ c2_1(a101)
    | ~ c1_1(a101)
    | ~ sP9_iProver_split ),
    inference(instantiation,[status(thm)],[c_17352]) ).

cnf(c_17493,plain,
    ( ~ c2_1(a124)
    | ~ sP15_iProver_split
    | c0_1(a124)
    | c1_1(a124) ),
    inference(instantiation,[status(thm)],[c_17361]) ).

cnf(c_17497,plain,
    ( ~ c2_1(a99)
    | ~ sP15_iProver_split
    | c0_1(a99)
    | c1_1(a99) ),
    inference(instantiation,[status(thm)],[c_17361]) ).

cnf(c_17503,plain,
    ( ~ c0_1(a98)
    | ~ sP16_iProver_split
    | c3_1(a98)
    | c2_1(a98) ),
    inference(instantiation,[status(thm)],[c_17363]) ).

cnf(c_17504,plain,
    ( ~ c0_1(a97)
    | ~ sP16_iProver_split
    | c3_1(a97)
    | c2_1(a97) ),
    inference(instantiation,[status(thm)],[c_17363]) ).

cnf(c_17506,plain,
    ( ~ c3_1(a136)
    | ~ sP19_iProver_split
    | c2_1(a136)
    | c0_1(a136) ),
    inference(instantiation,[status(thm)],[c_17367]) ).

cnf(c_17514,plain,
    ( ~ c0_1(a105)
    | ~ c1_1(a105)
    | ~ sP22_iProver_split
    | c3_1(a105) ),
    inference(instantiation,[status(thm)],[c_17372]) ).

cnf(c_17518,plain,
    ( ~ c1_1(a110)
    | ~ sP25_iProver_split
    | c3_1(a110)
    | c2_1(a110) ),
    inference(instantiation,[status(thm)],[c_17376]) ).

cnf(c_17528,plain,
    ( ~ c2_1(a124)
    | ~ sP8_iProver_split
    | c3_1(a124)
    | c1_1(a124) ),
    inference(instantiation,[status(thm)],[c_17351]) ).

cnf(c_17532,plain,
    ( ~ c2_1(a104)
    | ~ sP8_iProver_split
    | c3_1(a104)
    | c1_1(a104) ),
    inference(instantiation,[status(thm)],[c_17351]) ).

cnf(c_17533,plain,
    ( ~ c2_1(a103)
    | ~ sP8_iProver_split
    | c3_1(a103)
    | c1_1(a103) ),
    inference(instantiation,[status(thm)],[c_17351]) ).

cnf(c_17534,plain,
    ( ~ c2_1(a98)
    | ~ sP8_iProver_split
    | c3_1(a98)
    | c1_1(a98) ),
    inference(instantiation,[status(thm)],[c_17351]) ).

cnf(c_17549,plain,
    ( ~ c0_1(a97)
    | ~ c1_1(a97)
    | ~ sP5_iProver_split
    | c2_1(a97) ),
    inference(instantiation,[status(thm)],[c_17347]) ).

cnf(c_17552,plain,
    ( ~ c0_1(a122)
    | ~ sP10_iProver_split
    | c2_1(a122)
    | c1_1(a122) ),
    inference(instantiation,[status(thm)],[c_17354]) ).

cnf(c_17573,plain,
    ( ~ c3_1(a130)
    | ~ c1_1(a130)
    | ~ sP18_iProver_split
    | c2_1(a130) ),
    inference(instantiation,[status(thm)],[c_17365]) ).

cnf(c_17583,plain,
    ( ~ sP20_iProver_split
    | c3_1(a121)
    | c2_1(a121)
    | c0_1(a121) ),
    inference(instantiation,[status(thm)],[c_17369]) ).

cnf(c_17593,plain,
    ( ~ c0_1(a103)
    | ~ c1_1(a103)
    | ~ sP22_iProver_split
    | c3_1(a103) ),
    inference(instantiation,[status(thm)],[c_17372]) ).

cnf(c_17602,plain,
    ( ~ c1_1(a97)
    | ~ sP25_iProver_split
    | c3_1(a97)
    | c2_1(a97) ),
    inference(instantiation,[status(thm)],[c_17376]) ).

cnf(c_17605,plain,
    ( ~ sP20_iProver_split
    | c3_1(a173)
    | c2_1(a173)
    | c0_1(a173) ),
    inference(instantiation,[status(thm)],[c_17369]) ).

cnf(c_17608,plain,
    ( ~ c1_1(a173)
    | ~ sP14_iProver_split
    | c3_1(a173)
    | c0_1(a173) ),
    inference(instantiation,[status(thm)],[c_17360]) ).

cnf(c_17619,plain,
    ( ~ c1_1(a121)
    | ~ sP12_iProver_split
    | c2_1(a121)
    | c0_1(a121) ),
    inference(instantiation,[status(thm)],[c_17357]) ).

cnf(c_17630,plain,
    ( ~ c0_1(a116)
    | ~ c1_1(a116)
    | c3_1(a116)
    | hskp6 ),
    inference(instantiation,[status(thm)],[c_396]) ).

cnf(c_17729,plain,
    ( ~ c0_1(a136)
    | ~ sP10_iProver_split
    | c2_1(a136)
    | c1_1(a136) ),
    inference(instantiation,[status(thm)],[c_17354]) ).

cnf(c_17734,plain,
    ( ~ c0_1(a98)
    | ~ sP10_iProver_split
    | c2_1(a98)
    | c1_1(a98) ),
    inference(instantiation,[status(thm)],[c_17354]) ).

cnf(c_17736,plain,
    ( ~ c3_1(a136)
    | ~ sP13_iProver_split
    | c2_1(a136)
    | c1_1(a136) ),
    inference(instantiation,[status(thm)],[c_17358]) ).

cnf(c_17749,plain,
    ( ~ c2_1(a103)
    | ~ c0_1(a103)
    | ~ c1_1(a103)
    | ~ sP7_iProver_split ),
    inference(instantiation,[status(thm)],[c_17349]) ).

cnf(c_17757,plain,
    ( ~ c2_1(a103)
    | ~ c0_1(a103)
    | ~ sP11_iProver_split
    | c3_1(a103) ),
    inference(instantiation,[status(thm)],[c_17355]) ).

cnf(c_17781,plain,
    ( ~ c0_1(a132)
    | ~ sP17_iProver_split
    | c3_1(a132)
    | c1_1(a132) ),
    inference(instantiation,[status(thm)],[c_17364]) ).

cnf(c_17785,plain,
    ( ~ c0_1(a98)
    | ~ sP17_iProver_split
    | c3_1(a98)
    | c1_1(a98) ),
    inference(instantiation,[status(thm)],[c_17364]) ).

cnf(c_17789,plain,
    ( ~ sP26_iProver_split
    | c3_1(a132)
    | c2_1(a132)
    | c1_1(a132) ),
    inference(instantiation,[status(thm)],[c_17377]) ).

cnf(c_17793,plain,
    ( ~ sP26_iProver_split
    | c3_1(a98)
    | c2_1(a98)
    | c1_1(a98) ),
    inference(instantiation,[status(thm)],[c_17377]) ).

cnf(c_17806,plain,
    ( ~ sP23_iProver_split
    | c3_1(a147)
    | c0_1(a147)
    | c1_1(a147) ),
    inference(instantiation,[status(thm)],[c_17373]) ).

cnf(c_17812,plain,
    ( ~ c2_1(a108)
    | ~ c1_1(a108)
    | ~ sP6_iProver_split
    | c0_1(a108) ),
    inference(instantiation,[status(thm)],[c_17348]) ).

cnf(c_17847,plain,
    ( ~ c0_1(a132)
    | ~ sP16_iProver_split
    | c3_1(a132)
    | c2_1(a132) ),
    inference(instantiation,[status(thm)],[c_17363]) ).

cnf(c_17868,plain,
    ( ~ c0_1(a103)
    | ~ c1_1(a103)
    | c3_1(a103)
    | hskp0 ),
    inference(instantiation,[status(thm)],[c_417]) ).

cnf(c_17893,plain,
    ( ~ c2_1(a98)
    | ~ c0_1(a98)
    | ~ sP11_iProver_split
    | c3_1(a98) ),
    inference(instantiation,[status(thm)],[c_17355]) ).

cnf(c_18043,plain,
    ( ~ c2_1(a105)
    | ~ c1_1(a105)
    | ~ sP6_iProver_split
    | c0_1(a105) ),
    inference(instantiation,[status(thm)],[c_17348]) ).

cnf(c_18044,plain,
    ( ~ c2_1(a104)
    | ~ c1_1(a104)
    | ~ sP6_iProver_split
    | c0_1(a104) ),
    inference(instantiation,[status(thm)],[c_17348]) ).

cnf(c_18062,plain,
    ( ~ sP29_iProver_split
    | c2_1(a136)
    | c0_1(a136)
    | c1_1(a136) ),
    inference(instantiation,[status(thm)],[c_17383]) ).

cnf(c_18063,plain,
    ( ~ sP29_iProver_split
    | c2_1(a132)
    | c0_1(a132)
    | c1_1(a132) ),
    inference(instantiation,[status(thm)],[c_17383]) ).

cnf(c_18084,plain,
    ( ~ c3_1(a112)
    | ~ sP28_iProver_split
    | c0_1(a112)
    | c1_1(a112) ),
    inference(instantiation,[status(thm)],[c_17381]) ).

cnf(c_18171,plain,
    ( ~ c2_1(a103)
    | ~ c1_1(a103)
    | ~ sP27_iProver_split
    | c3_1(a103) ),
    inference(instantiation,[status(thm)],[c_17378]) ).

cnf(c_18288,plain,
    ( ~ c3_1(a106)
    | ~ c2_1(a106)
    | ~ sP21_iProver_split
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_17370]) ).

cnf(c_18289,plain,
    ( ~ c2_1(a106)
    | ~ sP15_iProver_split
    | c0_1(a106)
    | c1_1(a106) ),
    inference(instantiation,[status(thm)],[c_17361]) ).

cnf(c_18290,plain,
    ( ~ c2_1(a106)
    | ~ c1_1(a106)
    | ~ sP6_iProver_split
    | c0_1(a106) ),
    inference(instantiation,[status(thm)],[c_17348]) ).

cnf(c_18291,plain,
    ( ~ c3_1(a106)
    | ~ c2_1(a106)
    | ~ c1_1(a106)
    | ~ sP9_iProver_split ),
    inference(instantiation,[status(thm)],[c_17352]) ).

cnf(c_18395,plain,
    ( ~ c2_1(a173)
    | ~ c1_1(a173)
    | ~ sP6_iProver_split
    | c0_1(a173) ),
    inference(instantiation,[status(thm)],[c_17348]) ).

cnf(c_18439,plain,
    ( ~ c3_1(a101)
    | ~ c1_1(a101)
    | ~ sP18_iProver_split
    | c2_1(a101) ),
    inference(instantiation,[status(thm)],[c_17365]) ).

cnf(c_18454,plain,
    ( ~ sP26_iProver_split
    | c3_1(a121)
    | c2_1(a121)
    | c1_1(a121) ),
    inference(instantiation,[status(thm)],[c_17377]) ).

cnf(c_18464,plain,
    ( ~ sP26_iProver_split
    | c3_1(a97)
    | c2_1(a97)
    | c1_1(a97) ),
    inference(instantiation,[status(thm)],[c_17377]) ).

cnf(c_18491,plain,
    ( ~ sP23_iProver_split
    | c3_1(a104)
    | c0_1(a104)
    | c1_1(a104) ),
    inference(instantiation,[status(thm)],[c_17373]) ).

cnf(c_18503,plain,
    ( ~ c2_1(a104)
    | ~ sP30_iProver_split
    | c3_1(a104)
    | c0_1(a104) ),
    inference(instantiation,[status(thm)],[c_17384]) ).

cnf(c_18561,plain,
    ( ~ c3_1(a101)
    | ~ c0_1(a101)
    | ~ sP31_iProver_split
    | c2_1(a101) ),
    inference(instantiation,[status(thm)],[c_17391]) ).

cnf(c_18564,plain,
    ( ~ c3_1(a138)
    | ~ c0_1(a138)
    | ~ sP31_iProver_split
    | c2_1(a138) ),
    inference(instantiation,[status(thm)],[c_17391]) ).

cnf(c_18714,plain,
    ( ~ c2_1(a98)
    | ~ c0_1(a98)
    | ~ sP3_iProver_split
    | c1_1(a98) ),
    inference(instantiation,[status(thm)],[c_17344]) ).

cnf(c_18799,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_18714,c_18564,c_18561,c_18503,c_18491,c_18464,c_18454,c_18439,c_18395,c_18288,c_18289,c_18290,c_18291,c_18171,c_18084,c_18063,c_18062,c_18044,c_18043,c_17893,c_17868,c_17847,c_17812,c_17806,c_17793,c_17789,c_17785,c_17781,c_17757,c_17749,c_17736,c_17734,c_17729,c_17630,c_17619,c_17605,c_17608,c_17602,c_17593,c_17583,c_17573,c_17552,c_17549,c_17534,c_17533,c_17532,c_17528,c_17518,c_17514,c_17506,c_17504,c_17503,c_17497,c_17493,c_17482,c_17479,c_17475,c_17472,c_17471,c_17437,c_17435,c_17434,c_17433,c_17426,c_17421,c_17420,c_17418,c_17414,c_17411,c_17410,c_17409,c_17407,c_17406,c_17405,c_17404,c_17402,c_17399,c_17396,c_17395,c_17392,c_17390,c_17388,c_17386,c_17385,c_17382,c_17379,c_17371,c_17366,c_17356,c_17353,c_17350,c_4177,c_4167,c_4157,c_3919,c_3909,c_3899,c_2326,c_2319,c_2312,c_145,c_146,c_149,c_150,c_151,c_157,c_161,c_162,c_165,c_166,c_167,c_169,c_173,c_177,c_178,c_181,c_182,c_185,c_186,c_187,c_197,c_201,c_202,c_205,c_206,c_209,c_217,c_221,c_225,c_226,c_229,c_237,c_238,c_241,c_242,c_245,c_246,c_137,c_138,c_147,c_158,c_159,c_163,c_170,c_171,c_174,c_175,c_179,c_183,c_198,c_199,c_203,c_207,c_210,c_211,c_218,c_219,c_222,c_223,c_227,c_230,c_231,c_239,c_243,c_247,c_55,c_56]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYN501+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 20:27:56 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.48/1.18  % SZS status Started for theBenchmark.p
% 3.48/1.18  % SZS status Theorem for theBenchmark.p
% 3.48/1.18  
% 3.48/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.48/1.18  
% 3.48/1.18  ------  iProver source info
% 3.48/1.18  
% 3.48/1.18  git: date: 2023-05-31 18:12:56 +0000
% 3.48/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.48/1.18  git: non_committed_changes: false
% 3.48/1.18  git: last_make_outside_of_git: false
% 3.48/1.18  
% 3.48/1.18  ------ Parsing...
% 3.48/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 3.48/1.18  
% 3.48/1.18  
% 3.48/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.48/1.18  
% 3.48/1.18  ------ Preprocessing...------  preprocesses with Option_epr_non_horn_non_eq
% 3.48/1.18   gs_s  sp: 118 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.48/1.18  ------ Proving...
% 3.48/1.18  ------ Problem Properties 
% 3.48/1.18  
% 3.48/1.18  
% 3.48/1.18  clauses                                 201
% 3.48/1.18  conjectures                             195
% 3.48/1.18  EPR                                     201
% 3.48/1.18  Horn                                    104
% 3.48/1.18  unary                                   0
% 3.48/1.18  binary                                  88
% 3.48/1.18  lits                                    549
% 3.48/1.18  lits eq                                 0
% 3.48/1.18  fd_pure                                 0
% 3.48/1.18  fd_pseudo                               0
% 3.48/1.18  fd_cond                                 0
% 3.48/1.18  fd_pseudo_cond                          0
% 3.48/1.18  AC symbols                              0
% 3.48/1.18  
% 3.48/1.18  ------ Schedule EPR non Horn non eq is on
% 3.48/1.18  
% 3.48/1.18  ------ no equalities: superposition off 
% 3.48/1.18  
% 3.48/1.18  ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.48/1.18  
% 3.48/1.18  
% 3.48/1.18  ------ 
% 3.48/1.18  Current options:
% 3.48/1.18  ------ 
% 3.48/1.18  
% 3.48/1.18  
% 3.48/1.18  
% 3.48/1.18  
% 3.48/1.18  ------ Proving...
% 3.48/1.18  
% 3.48/1.18  
% 3.48/1.18  % SZS status Theorem for theBenchmark.p
% 3.48/1.18  
% 3.48/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.48/1.18  
% 3.48/1.18  
%------------------------------------------------------------------------------