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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN474+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:25 PM UTC 2026

% Result   : Theorem 0.21s 2.06s
% Output   : CNFRefutation 4.97s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f212ERROR: Could not build tree for root c_18060ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp9
        | hskp7
        | hskp27 )
      & ( hskp22
        | hskp26
        | hskp23 )
      & ( hskp25
        | hskp24
        | hskp3 )
      & ( hskp17
        | hskp22
        | hskp28 )
      & ( hskp19
        | hskp22
        | hskp15 )
      & ( hskp25
        | hskp21
        | hskp0 )
      & ( hskp9
        | hskp12
        | hskp0 )
      & ( hskp27
        | hskp31
        | hskp29 )
      & ( hskp2
        | hskp13
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp10
        | hskp16
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c0_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp9
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp17
        | hskp26
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp21
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c0_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp13
        | hskp1
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | c2_1(X105) ) ) )
      & ( hskp6
        | hskp12
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c1_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp5
        | hskp1
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c0_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp0
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | ~ c0_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp20
        | hskp1
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp25
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | c3_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp31
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | c3_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp7
        | hskp10
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp17
        | hskp24
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp28
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c1_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c2_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp18
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c0_1(X91)
              | c1_1(X91) ) ) )
      & ( hskp23
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c1_1(X89) ) ) )
      & ( hskp7
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c1_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp15
        | hskp29
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | c3_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp21
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c2_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | c3_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp12
        | hskp18
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp18
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp12
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp1
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp22
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp22
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp21
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp20
        | ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | c3_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp10
        | hskp12
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp14
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp9
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c1_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp15
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c0_1(X57)
              | c3_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | ~ c1_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp14
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp19
        | hskp18
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp17
        | hskp0
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | c3_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp7
        | hskp4
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp9
        | hskp16
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp5
        | hskp15
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp1
        | hskp30
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp14
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp12
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c0_1(X42)
              | c3_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp4
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | ~ c0_1(X40)
              | c3_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp8
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c3_1(X38)
              | c2_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | ~ c0_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | ~ c0_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | ~ c1_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp13
        | hskp12
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp11
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c1_1(X29)
              | ~ c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp29
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | ~ c0_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp10
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c1_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | ~ c0_1(X20)
              | c3_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c2_1(X19)
              | c1_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp9
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp8
        | hskp7
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp6
        | hskp5
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( hskp4
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c0_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp3
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp1
        | ! [X9] :
            ( ndr1_0
           => ( ~ c1_1(X9)
              | ~ c0_1(X9)
              | c3_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp2
        | hskp28
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c3_1(X6)
              | c2_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | hskp0
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | ~ c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a957)
          & c2_1(a957)
          & c1_1(a957)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c2_1(a919)
          & c1_1(a919)
          & c0_1(a919)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a911)
          & c1_1(a911)
          & c0_1(a911)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a900)
          & c2_1(a900)
          & c0_1(a900)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a978)
          & c3_1(a978)
          & c2_1(a978)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a969)
          & ~ c1_1(a969)
          & c0_1(a969)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a958)
          & ~ c1_1(a958)
          & ~ c0_1(a958)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a953)
          & c3_1(a953)
          & c1_1(a953)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a950)
          & c3_1(a950)
          & c0_1(a950)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a939)
          & ~ c0_1(a939)
          & c1_1(a939)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a938)
          & ~ c2_1(a938)
          & c0_1(a938)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a937)
          & ~ c0_1(a937)
          & c2_1(a937)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a930)
          & ~ c0_1(a930)
          & c2_1(a930)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a929)
          & c2_1(a929)
          & c0_1(a929)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a928)
          & ~ c2_1(a928)
          & c1_1(a928)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a923)
          & c2_1(a923)
          & c1_1(a923)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a921)
          & c1_1(a921)
          & c0_1(a921)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a918)
          & c3_1(a918)
          & c0_1(a918)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a914)
          & ~ c1_1(a914)
          & c3_1(a914)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a913)
          & ~ c1_1(a913)
          & c0_1(a913)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a912)
          & ~ c2_1(a912)
          & ~ c1_1(a912)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a910)
          & ~ c0_1(a910)
          & c1_1(a910)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a909)
          & ~ c1_1(a909)
          & ~ c0_1(a909)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a908)
          & ~ c0_1(a908)
          & c3_1(a908)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c1_1(a907)
          & ~ c0_1(a907)
          & c3_1(a907)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a906)
          & c3_1(a906)
          & c2_1(a906)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a905)
          & c3_1(a905)
          & c1_1(a905)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a904)
          & ~ c1_1(a904)
          & c2_1(a904)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a903)
          & c2_1(a903)
          & c0_1(a903)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a901)
          & ~ c2_1(a901)
          & ~ c0_1(a901)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a899)
          & c2_1(a899)
          & c1_1(a899)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a898)
          & c1_1(a898)
          & c0_1(a898)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp9
          | hskp7
          | hskp27 )
        & ( hskp22
          | hskp26
          | hskp23 )
        & ( hskp25
          | hskp24
          | hskp3 )
        & ( hskp17
          | hskp22
          | hskp28 )
        & ( hskp19
          | hskp22
          | hskp15 )
        & ( hskp25
          | hskp21
          | hskp0 )
        & ( hskp9
          | hskp12
          | hskp0 )
        & ( hskp27
          | hskp31
          | hskp29 )
        & ( hskp2
          | hskp13
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp10
          | hskp16
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c0_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp9
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp17
          | hskp26
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp21
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp13
          | hskp1
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | c2_1(X105) ) ) )
        & ( hskp6
          | hskp12
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c1_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp5
          | hskp1
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c0_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp0
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp20
          | hskp1
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp25
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp31
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp7
          | hskp10
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp17
          | hskp24
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp28
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c1_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp18
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c0_1(X91)
                | c1_1(X91) ) ) )
        & ( hskp23
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c1_1(X89) ) ) )
        & ( hskp7
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp15
          | hskp29
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | c3_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp21
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c2_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp12
          | hskp18
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp18
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp12
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp1
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp22
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp22
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp21
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp20
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp10
          | hskp12
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp14
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp9
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c1_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp15
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp14
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp19
          | hskp18
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp0
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | c3_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp7
          | hskp4
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp9
          | hskp16
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp5
          | hskp15
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp1
          | hskp30
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp14
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp12
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp4
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c0_1(X40)
                | c3_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp8
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | ~ c0_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c1_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp13
          | hskp12
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp11
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp29
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp10
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c1_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c0_1(X20)
                | c3_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c2_1(X19)
                | c1_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp9
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp8
          | hskp7
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp6
          | hskp5
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( hskp4
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp1
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp2
          | hskp28
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | c2_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | hskp0
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a957)
            & c2_1(a957)
            & c1_1(a957)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a919)
            & c1_1(a919)
            & c0_1(a919)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a911)
            & c1_1(a911)
            & c0_1(a911)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a900)
            & c2_1(a900)
            & c0_1(a900)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a978)
            & c3_1(a978)
            & c2_1(a978)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a969)
            & ~ c1_1(a969)
            & c0_1(a969)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a958)
            & ~ c1_1(a958)
            & ~ c0_1(a958)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a953)
            & c3_1(a953)
            & c1_1(a953)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a950)
            & c3_1(a950)
            & c0_1(a950)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a939)
            & ~ c0_1(a939)
            & c1_1(a939)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a938)
            & ~ c2_1(a938)
            & c0_1(a938)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a937)
            & ~ c0_1(a937)
            & c2_1(a937)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a930)
            & ~ c0_1(a930)
            & c2_1(a930)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a929)
            & c2_1(a929)
            & c0_1(a929)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a928)
            & ~ c2_1(a928)
            & c1_1(a928)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a923)
            & c2_1(a923)
            & c1_1(a923)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a921)
            & c1_1(a921)
            & c0_1(a921)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a918)
            & c3_1(a918)
            & c0_1(a918)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a914)
            & ~ c1_1(a914)
            & c3_1(a914)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a913)
            & ~ c1_1(a913)
            & c0_1(a913)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a912)
            & ~ c2_1(a912)
            & ~ c1_1(a912)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a910)
            & ~ c0_1(a910)
            & c1_1(a910)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a909)
            & ~ c1_1(a909)
            & ~ c0_1(a909)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a908)
            & ~ c0_1(a908)
            & c3_1(a908)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c1_1(a907)
            & ~ c0_1(a907)
            & c3_1(a907)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a906)
            & c3_1(a906)
            & c2_1(a906)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a905)
            & c3_1(a905)
            & c1_1(a905)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a904)
            & ~ c1_1(a904)
            & c2_1(a904)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a903)
            & c2_1(a903)
            & c0_1(a903)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a901)
            & ~ c2_1(a901)
            & ~ c0_1(a901)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a899)
            & c2_1(a899)
            & c1_1(a899)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a898)
            & c1_1(a898)
            & c0_1(a898)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp9
      | hskp7
      | hskp27 )
    & ( hskp22
      | hskp26
      | hskp23 )
    & ( hskp25
      | hskp24
      | hskp3 )
    & ( hskp17
      | hskp22
      | hskp28 )
    & ( hskp19
      | hskp22
      | hskp15 )
    & ( hskp25
      | hskp21
      | hskp0 )
    & ( hskp9
      | hskp12
      | hskp0 )
    & ( hskp27
      | hskp31
      | hskp29 )
    & ( hskp2
      | hskp13
      | ! [X112] :
          ( ndr1_0
         => ( ~ c3_1(X112)
            | ~ c2_1(X112)
            | ~ c0_1(X112) ) ) )
    & ( hskp10
      | hskp16
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c0_1(X111)
            | c3_1(X111) ) ) )
    & ( hskp9
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c1_1(X110)
            | ~ c0_1(X110) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c3_1(X109) ) ) )
    & ( hskp17
      | hskp26
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | ~ c0_1(X108)
            | c3_1(X108) ) ) )
    & ( hskp21
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c0_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | ~ c0_1(X106)
            | c3_1(X106) ) ) )
    & ( hskp13
      | hskp1
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | c2_1(X105) ) ) )
    & ( hskp6
      | hskp12
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c1_1(X104)
            | c2_1(X104) ) ) )
    & ( hskp5
      | hskp1
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c0_1(X103)
            | c2_1(X103) ) ) )
    & ( hskp0
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c0_1(X101)
            | c2_1(X101) ) ) )
    & ( hskp20
      | hskp1
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c2_1(X100) ) ) )
    & ( hskp25
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | c3_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp31
      | ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | ~ c0_1(X98)
            | c2_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) ) )
    & ( hskp7
      | hskp10
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | c3_1(X96)
            | c2_1(X96) ) ) )
    & ( hskp17
      | hskp24
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | c1_1(X95) ) ) )
    & ( hskp28
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c1_1(X94)
            | ~ c0_1(X94) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | c1_1(X93) ) ) )
    & ( hskp18
      | ! [X92] :
          ( ndr1_0
         => ( ~ c0_1(X92)
            | c3_1(X92)
            | c2_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c0_1(X91)
            | c1_1(X91) ) ) )
    & ( hskp23
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c2_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c0_1(X89)
            | c1_1(X89) ) ) )
    & ( hskp7
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | ~ c0_1(X88)
            | c2_1(X88) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c1_1(X86)
            | c2_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c3_1(X85)
            | c2_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c0_1(X84)
            | c1_1(X84) ) ) )
    & ( hskp15
      | hskp29
      | ! [X83] :
          ( ndr1_0
         => ( ~ c2_1(X83)
            | c3_1(X83)
            | c1_1(X83) ) ) )
    & ( hskp21
      | ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c0_1(X82)
            | c2_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c1_1(X81) ) ) )
    & ( hskp12
      | hskp18
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | c3_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp18
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c2_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp12
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c1_1(X77) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) ) )
    & ( hskp1
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | ~ c2_1(X75)
            | ~ c1_1(X75) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp22
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp22
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | ~ c2_1(X71)
            | c1_1(X71) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c0_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) ) )
    & ( hskp21
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c3_1(X68)
            | c2_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp20
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c0_1(X67)
            | c3_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( c3_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp10
      | hskp12
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp14
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp9
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c1_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp15
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c0_1(X57)
            | c3_1(X57) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp14
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c3_1(X55)
            | c2_1(X55) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp19
      | hskp18
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp0
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | c3_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp7
      | hskp4
      | ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp9
      | hskp16
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp5
      | hskp15
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp1
      | hskp30
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp14
      | ! [X44] :
          ( ndr1_0
         => ( ~ c2_1(X44)
            | ~ c1_1(X44)
            | c3_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp12
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp4
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c0_1(X40)
            | c3_1(X40) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | c2_1(X39)
            | c0_1(X39) ) ) )
    & ( hskp8
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c3_1(X37)
            | c2_1(X37)
            | c0_1(X37) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c1_1(X36)
            | ~ c0_1(X36)
            | c2_1(X36) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c1_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c0_1(X34) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c1_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp13
      | hskp12
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c2_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp11
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c1_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( hskp29
      | ! [X27] :
          ( ndr1_0
         => ( ~ c1_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | c2_1(X26)
            | c0_1(X26) ) ) )
    & ( hskp10
      | ! [X25] :
          ( ndr1_0
         => ( c3_1(X25)
            | c2_1(X25)
            | c1_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c2_1(X24)
            | c0_1(X24) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | c2_1(X23)
            | c1_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c2_1(X21)
            | c0_1(X21) ) ) )
    & ( ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | ~ c0_1(X20)
            | c3_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c2_1(X19)
            | c1_1(X19) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp9
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c2_1(X17)
            | c1_1(X17) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c3_1(X16)
            | c2_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp8
      | hskp7
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) ) )
    & ( hskp6
      | hskp5
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( hskp4
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | c1_1(X12)
            | c0_1(X12) ) ) )
    & ( hskp3
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | ~ c0_1(X11)
            | c1_1(X11) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | c1_1(X10)
            | c0_1(X10) ) ) )
    & ( hskp1
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp2
      | hskp28
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | c2_1(X6)
            | c1_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | c2_1(X5)
            | c0_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) ) )
    & ( hskp1
      | hskp0
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | c3_1(X1)
            | c1_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a957)
        & c2_1(a957)
        & c1_1(a957)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a919)
        & c1_1(a919)
        & c0_1(a919)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a911)
        & c1_1(a911)
        & c0_1(a911)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a900)
        & c2_1(a900)
        & c0_1(a900)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a978)
        & c3_1(a978)
        & c2_1(a978)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a969)
        & ~ c1_1(a969)
        & c0_1(a969)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a958)
        & ~ c1_1(a958)
        & ~ c0_1(a958)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a953)
        & c3_1(a953)
        & c1_1(a953)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a950)
        & c3_1(a950)
        & c0_1(a950)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a939)
        & ~ c0_1(a939)
        & c1_1(a939)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a938)
        & ~ c2_1(a938)
        & c0_1(a938)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a937)
        & ~ c0_1(a937)
        & c2_1(a937)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a930)
        & ~ c0_1(a930)
        & c2_1(a930)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a929)
        & c2_1(a929)
        & c0_1(a929)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a928)
        & ~ c2_1(a928)
        & c1_1(a928)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a923)
        & c2_1(a923)
        & c1_1(a923)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a921)
        & c1_1(a921)
        & c0_1(a921)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a918)
        & c3_1(a918)
        & c0_1(a918)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a914)
        & ~ c1_1(a914)
        & c3_1(a914)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a913)
        & ~ c1_1(a913)
        & c0_1(a913)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a912)
        & ~ c2_1(a912)
        & ~ c1_1(a912)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a910)
        & ~ c0_1(a910)
        & c1_1(a910)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a909)
        & ~ c1_1(a909)
        & ~ c0_1(a909)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a908)
        & ~ c0_1(a908)
        & c3_1(a908)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a907)
        & ~ c0_1(a907)
        & c3_1(a907)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a906)
        & c3_1(a906)
        & c2_1(a906)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a905)
        & c3_1(a905)
        & c1_1(a905)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a904)
        & ~ c1_1(a904)
        & c2_1(a904)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a903)
        & c2_1(a903)
        & c0_1(a903)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & ~ c0_1(a901)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a899)
        & c2_1(a899)
        & c1_1(a899)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a898)
        & c1_1(a898)
        & c0_1(a898)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp9
      | hskp7
      | hskp27 )
    & ( hskp22
      | hskp26
      | hskp23 )
    & ( hskp25
      | hskp24
      | hskp3 )
    & ( hskp17
      | hskp22
      | hskp28 )
    & ( hskp19
      | hskp22
      | hskp15 )
    & ( hskp25
      | hskp21
      | hskp0 )
    & ( hskp9
      | hskp12
      | hskp0 )
    & ( hskp27
      | hskp31
      | hskp29 )
    & ( hskp2
      | hskp13
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp10
      | hskp16
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | c3_1(X111) ) )
    & ( hskp9
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109) ) )
    & ( hskp17
      | hskp26
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp21
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107) )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp13
      | hskp1
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c1_1(X105)
          | c2_1(X105) ) )
    & ( hskp6
      | hskp12
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | c2_1(X104) ) )
    & ( hskp5
      | hskp1
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103) ) )
    & ( hskp0
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) ) )
    & ( hskp20
      | hskp1
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp25
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | c3_1(X99)
          | c2_1(X99) ) )
    & ( hskp31
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97) ) )
    & ( hskp7
      | hskp10
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c3_1(X96)
          | c2_1(X96) ) )
    & ( hskp17
      | hskp24
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | c1_1(X95) ) )
    & ( hskp28
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93) ) )
    & ( hskp18
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp23
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp7
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | c2_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c2_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp15
      | hskp29
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp21
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp12
      | hskp18
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp18
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | c3_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp12
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp1
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp22
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp22
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c2_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp21
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp20
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( ! [X65] :
          ( ~ ndr1_0
          | ~ c1_1(X65)
          | c3_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp10
      | hskp12
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp9
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp15
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp14
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp19
      | hskp18
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp17
      | hskp0
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( hskp7
      | hskp4
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp9
      | hskp16
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp5
      | hskp15
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp1
      | hskp30
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp14
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c1_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp12
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp8
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp13
      | hskp12
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp11
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp29
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp10
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c1_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c1_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp9
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | c2_1(X16)
          | c0_1(X16) ) )
    & ( hskp8
      | hskp7
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp6
      | hskp5
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp4
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp3
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp1
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp2
      | hskp28
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | c2_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | c2_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | hskp0
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a957)
        & c2_1(a957)
        & c1_1(a957)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a919)
        & c1_1(a919)
        & c0_1(a919)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a911)
        & c1_1(a911)
        & c0_1(a911)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a900)
        & c2_1(a900)
        & c0_1(a900)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a978)
        & c3_1(a978)
        & c2_1(a978)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a969)
        & ~ c1_1(a969)
        & c0_1(a969)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a958)
        & ~ c1_1(a958)
        & ~ c0_1(a958)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a953)
        & c3_1(a953)
        & c1_1(a953)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a950)
        & c3_1(a950)
        & c0_1(a950)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a939)
        & ~ c0_1(a939)
        & c1_1(a939)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a938)
        & ~ c2_1(a938)
        & c0_1(a938)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a937)
        & ~ c0_1(a937)
        & c2_1(a937)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a930)
        & ~ c0_1(a930)
        & c2_1(a930)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a929)
        & c2_1(a929)
        & c0_1(a929)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a928)
        & ~ c2_1(a928)
        & c1_1(a928)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a923)
        & c2_1(a923)
        & c1_1(a923)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a921)
        & c1_1(a921)
        & c0_1(a921)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a918)
        & c3_1(a918)
        & c0_1(a918)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a914)
        & ~ c1_1(a914)
        & c3_1(a914)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a913)
        & ~ c1_1(a913)
        & c0_1(a913)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a912)
        & ~ c2_1(a912)
        & ~ c1_1(a912)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a910)
        & ~ c0_1(a910)
        & c1_1(a910)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a909)
        & ~ c1_1(a909)
        & ~ c0_1(a909)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a908)
        & ~ c0_1(a908)
        & c3_1(a908)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a907)
        & ~ c0_1(a907)
        & c3_1(a907)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a906)
        & c3_1(a906)
        & c2_1(a906)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a905)
        & c3_1(a905)
        & c1_1(a905)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a904)
        & ~ c1_1(a904)
        & c2_1(a904)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a903)
        & c2_1(a903)
        & c0_1(a903)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & ~ c0_1(a901)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a899)
        & c2_1(a899)
        & c1_1(a899)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a898)
        & c1_1(a898)
        & c0_1(a898)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp9
      | hskp7
      | hskp27 )
    & ( hskp22
      | hskp26
      | hskp23 )
    & ( hskp25
      | hskp24
      | hskp3 )
    & ( hskp17
      | hskp22
      | hskp28 )
    & ( hskp19
      | hskp22
      | hskp15 )
    & ( hskp25
      | hskp21
      | hskp0 )
    & ( hskp9
      | hskp12
      | hskp0 )
    & ( hskp27
      | hskp31
      | hskp29 )
    & ( hskp2
      | hskp13
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c3_1(X112)
          | ~ c2_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp10
      | hskp16
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | c3_1(X111) ) )
    & ( hskp9
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c1_1(X110)
          | ~ c0_1(X110) )
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109) ) )
    & ( hskp17
      | hskp26
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp21
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107) )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp13
      | hskp1
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c1_1(X105)
          | c2_1(X105) ) )
    & ( hskp6
      | hskp12
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c3_1(X104)
          | ~ c1_1(X104)
          | c2_1(X104) ) )
    & ( hskp5
      | hskp1
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c0_1(X103)
          | c2_1(X103) ) )
    & ( hskp0
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102) )
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) ) )
    & ( hskp20
      | hskp1
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp25
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | c3_1(X99)
          | c2_1(X99) ) )
    & ( hskp31
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c1_1(X98)
          | ~ c0_1(X98)
          | c2_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97) ) )
    & ( hskp7
      | hskp10
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | c3_1(X96)
          | c2_1(X96) ) )
    & ( hskp17
      | hskp24
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c3_1(X95)
          | ~ c2_1(X95)
          | c1_1(X95) ) )
    & ( hskp28
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c1_1(X94)
          | ~ c0_1(X94) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c3_1(X93)
          | ~ c2_1(X93)
          | c1_1(X93) ) )
    & ( hskp18
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | c3_1(X92)
          | c2_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c3_1(X91)
          | ~ c0_1(X91)
          | c1_1(X91) ) )
    & ( hskp23
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c3_1(X90)
          | ~ c2_1(X90)
          | ~ c0_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c2_1(X89)
          | ~ c0_1(X89)
          | c1_1(X89) ) )
    & ( hskp7
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | ~ c0_1(X88)
          | c2_1(X88) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c2_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( ! [X86] :
          ( ~ ndr1_0
          | ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c0_1(X85)
          | c3_1(X85)
          | c2_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | c1_1(X84) ) )
    & ( hskp15
      | hskp29
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c2_1(X83)
          | c3_1(X83)
          | c1_1(X83) ) )
    & ( hskp21
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | c2_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c2_1(X81)
          | c3_1(X81)
          | c1_1(X81) ) )
    & ( hskp12
      | hskp18
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | c3_1(X80)
          | c1_1(X80) ) )
    & ( hskp18
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | c3_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c3_1(X78)
          | c2_1(X78)
          | c1_1(X78) ) )
    & ( hskp12
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | c2_1(X76)
          | c1_1(X76) ) )
    & ( hskp1
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c3_1(X75)
          | ~ c2_1(X75)
          | ~ c1_1(X75) )
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c0_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp22
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp22
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c3_1(X71)
          | ~ c2_1(X71)
          | c1_1(X71) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | c2_1(X70)
          | c1_1(X70) ) )
    & ( hskp21
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | c2_1(X68)
          | c1_1(X68) ) )
    & ( hskp20
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( ! [X65] :
          ( ~ ndr1_0
          | ~ c1_1(X65)
          | c3_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c2_1(X63)
          | c0_1(X63) ) )
    & ( hskp10
      | hskp12
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp14
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( hskp9
      | ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c1_1(X59)
          | ~ c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) ) )
    & ( hskp15
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57) )
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56) ) )
    & ( hskp14
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c3_1(X55)
          | c2_1(X55) )
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54) ) )
    & ( hskp19
      | hskp18
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp17
      | hskp0
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c2_1(X52)
          | c3_1(X52)
          | c0_1(X52) ) )
    & ( hskp7
      | hskp4
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c1_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( ! [X50] :
          ( ~ ndr1_0
          | ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c1_1(X48)
          | c3_1(X48)
          | c0_1(X48) ) )
    & ( hskp9
      | hskp16
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c3_1(X47)
          | c2_1(X47)
          | c0_1(X47) ) )
    & ( hskp5
      | hskp15
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp1
      | hskp30
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c3_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp14
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c2_1(X44)
          | ~ c1_1(X44)
          | c3_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( hskp12
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c3_1(X41)
          | c2_1(X41)
          | c0_1(X41) ) )
    & ( hskp4
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40) )
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | c2_1(X39)
          | c0_1(X39) ) )
    & ( hskp8
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38) )
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c3_1(X37)
          | c2_1(X37)
          | c0_1(X37) ) )
    & ( ! [X36] :
          ( ~ ndr1_0
          | ~ c1_1(X36)
          | ~ c0_1(X36)
          | c2_1(X36) )
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c3_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c3_1(X34)
          | c2_1(X34)
          | c0_1(X34) ) )
    & ( ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c1_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp13
      | hskp12
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c2_1(X30)
          | c0_1(X30) ) )
    & ( hskp11
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c1_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( hskp29
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | c2_1(X26)
          | c0_1(X26) ) )
    & ( hskp10
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c1_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c1_1(X24)
          | c2_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c3_1(X23)
          | c2_1(X23)
          | c1_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c2_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | ~ c0_1(X20)
          | c3_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c3_1(X19)
          | ~ c2_1(X19)
          | c1_1(X19) )
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp9
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c1_1(X17) )
      | ! [X16] :
          ( ~ ndr1_0
          | c3_1(X16)
          | c2_1(X16)
          | c0_1(X16) ) )
    & ( hskp8
      | hskp7
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) ) )
    & ( hskp6
      | hskp5
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp4
      | ! [X13] :
          ( ~ ndr1_0
          | ~ c3_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | c1_1(X12)
          | c0_1(X12) ) )
    & ( hskp3
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | c1_1(X11) )
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | c1_1(X10)
          | c0_1(X10) ) )
    & ( hskp1
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp2
      | hskp28
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | ~ c3_1(X6)
          | c2_1(X6)
          | c1_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c3_1(X5)
          | c2_1(X5)
          | c0_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) ) )
    & ( hskp1
      | hskp0
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c2_1(X1)
          | c3_1(X1)
          | c1_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a957)
        & c2_1(a957)
        & c1_1(a957)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a919)
        & c1_1(a919)
        & c0_1(a919)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a911)
        & c1_1(a911)
        & c0_1(a911)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a900)
        & c2_1(a900)
        & c0_1(a900)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a978)
        & c3_1(a978)
        & c2_1(a978)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a969)
        & ~ c1_1(a969)
        & c0_1(a969)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a958)
        & ~ c1_1(a958)
        & ~ c0_1(a958)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a953)
        & c3_1(a953)
        & c1_1(a953)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a950)
        & c3_1(a950)
        & c0_1(a950)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a939)
        & ~ c0_1(a939)
        & c1_1(a939)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a938)
        & ~ c2_1(a938)
        & c0_1(a938)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a937)
        & ~ c0_1(a937)
        & c2_1(a937)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a930)
        & ~ c0_1(a930)
        & c2_1(a930)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a929)
        & c2_1(a929)
        & c0_1(a929)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a928)
        & ~ c2_1(a928)
        & c1_1(a928)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a923)
        & c2_1(a923)
        & c1_1(a923)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a921)
        & c1_1(a921)
        & c0_1(a921)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a918)
        & c3_1(a918)
        & c0_1(a918)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a914)
        & ~ c1_1(a914)
        & c3_1(a914)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a913)
        & ~ c1_1(a913)
        & c0_1(a913)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a912)
        & ~ c2_1(a912)
        & ~ c1_1(a912)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a910)
        & ~ c0_1(a910)
        & c1_1(a910)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a909)
        & ~ c1_1(a909)
        & ~ c0_1(a909)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a908)
        & ~ c0_1(a908)
        & c3_1(a908)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c1_1(a907)
        & ~ c0_1(a907)
        & c3_1(a907)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a906)
        & c3_1(a906)
        & c2_1(a906)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a905)
        & c3_1(a905)
        & c1_1(a905)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a904)
        & ~ c1_1(a904)
        & c2_1(a904)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a903)
        & c2_1(a903)
        & c0_1(a903)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a901)
        & ~ c2_1(a901)
        & ~ c0_1(a901)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a899)
        & c2_1(a899)
        & c1_1(a899)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a898)
        & c1_1(a898)
        & c0_1(a898)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp9
    | hskp7
    | hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp22
    | hskp26
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp17
    | hskp22
    | hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp19
    | hskp22
    | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp25
    | hskp21
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp9
    | hskp12
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp27
    | hskp31
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X105] :
      ( hskp13
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X105)
      | ~ c1_1(X105)
      | c2_1(X105) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X100] :
      ( hskp20
      | hskp1
      | ~ ndr1_0
      | ~ c1_1(X100)
      | ~ c0_1(X100)
      | c2_1(X100) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X99] :
      ( hskp25
      | ~ ndr1_0
      | ~ c1_1(X99)
      | c3_1(X99)
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X96] :
      ( hskp7
      | hskp10
      | ~ ndr1_0
      | ~ c0_1(X96)
      | c3_1(X96)
      | c2_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X83] :
      ( hskp15
      | hskp29
      | ~ ndr1_0
      | ~ c2_1(X83)
      | c3_1(X83)
      | c1_1(X83) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X62] :
      ( hskp10
      | hskp12
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f49,plain,
    ! [X53] :
      ( hskp19
      | hskp18
      | ~ ndr1_0
      | ~ c2_1(X53)
      | c3_1(X53)
      | c0_1(X53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ! [X52] :
      ( hskp17
      | hskp0
      | ~ ndr1_0
      | ~ c2_1(X52)
      | c3_1(X52)
      | c0_1(X52) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ! [X51] :
      ( hskp7
      | hskp4
      | ~ ndr1_0
      | ~ c1_1(X51)
      | c3_1(X51)
      | c0_1(X51) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ! [X7] :
      ( hskp2
      | hskp28
      | ~ ndr1_0
      | c3_1(X7)
      | c1_1(X7)
      | c0_1(X7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ! [X3] :
      ( hskp1
      | hskp0
      | ~ ndr1_0
      | c2_1(X3)
      | c1_1(X3)
      | c0_1(X3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f81,plain,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f90,plain,
    ( c3_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c0_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c0_1(a978)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( c3_1(a978)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( c2_1(a978)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f97,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c2_1(a969)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c1_1(a969)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( c0_1(a969)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c3_1(a958)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c1_1(a958)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ c0_1(a958)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c2_1(a950)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( c3_1(a950)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c0_1(a950)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a939)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c0_1(a939)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c1_1(a939)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a938)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c2_1(a938)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c0_1(a938)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c3_1(a937)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ c0_1(a937)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c2_1(a937)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c1_1(a930)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c0_1(a930)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c2_1(a930)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a929)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( c2_1(a929)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c0_1(a929)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c3_1(a928)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ c2_1(a928)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c1_1(a928)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a921)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( c1_1(a921)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a921)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c1_1(a918)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c3_1(a918)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a918)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c2_1(a914)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c1_1(a914)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c3_1(a914)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a913)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c0_1(a913)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c2_1(a910)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( ~ c0_1(a910)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c1_1(a910)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c2_1(a909)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c1_1(a909)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ c0_1(a909)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c1_1(a907)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( ~ c0_1(a907)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c3_1(a907)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c3_1(a904)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a904)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( c2_1(a904)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c3_1(a903)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c2_1(a903)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c0_1(a903)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c3_1(a901)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c2_1(a901)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( ~ c0_1(a901)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c0_1(a899)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c2_1(a899)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c1_1(a899)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c2_1(a898)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( c1_1(a898)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c0_1(a898)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c0_1(a898)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_51,negated_conjecture,
    ( c1_1(a898)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a898) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_54,negated_conjecture,
    ( c1_1(a899)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_55,negated_conjecture,
    ( c2_1(a899)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a899) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_58,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a901) ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a901) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a901) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_62,negated_conjecture,
    ( c0_1(a903)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a903)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a903) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_66,negated_conjecture,
    ( c2_1(a904)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a904) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a904) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_78,negated_conjecture,
    ( c3_1(a907)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_79,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a907) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a907) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_86,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a909) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a909) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a909) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_90,negated_conjecture,
    ( c1_1(a910)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_91,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a910) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a910) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_98,negated_conjecture,
    ( c0_1(a913)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a913) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    ( c3_1(a914)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a914) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a914) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a918)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_107,negated_conjecture,
    ( c3_1(a918)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a918) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a921)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_111,negated_conjecture,
    ( c1_1(a921)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a921) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_118,negated_conjecture,
    ( c1_1(a928)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_119,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a928) ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a928) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_122,negated_conjecture,
    ( c0_1(a929)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_123,negated_conjecture,
    ( c2_1(a929)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a929) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_126,negated_conjecture,
    ( c2_1(a930)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a930) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a930) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_130,negated_conjecture,
    ( c2_1(a937)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_131,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a937) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a937) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a938)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_135,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a938) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a938) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_138,negated_conjecture,
    ( c1_1(a939)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a939) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a939) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a950)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_143,negated_conjecture,
    ( c3_1(a950)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a950) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_150,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a958) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_151,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a958) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a958) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_154,negated_conjecture,
    ( c0_1(a969)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a969) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a969) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_157,negated_conjecture,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_158,negated_conjecture,
    ( c2_1(a978)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_159,negated_conjecture,
    ( c3_1(a978)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_160,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a978) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_162,negated_conjecture,
    ( c0_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a900)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f90]) ).

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

tcf(c_166,negated_conjecture,
    ( c0_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_167,negated_conjecture,
    ( c1_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a911)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_173,negated_conjecture,
    ( ndr1_0
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_177,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f206]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp2
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp18
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp10
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp15
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp7
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp1
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f244]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f245]) ).

tcf(c_241,negated_conjecture,
    ( hskp31
    | hskp29
    | hskp27 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_242,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp0 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_243,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp0 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_244,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp15 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_245,negated_conjecture,
    ( hskp28
    | hskp22
    | hskp17 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_247,negated_conjecture,
    ( hskp26
    | hskp23
    | hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_248,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_278,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_241,c_173,c_165,c_157]) ).

tcf(c_342,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_241,c_173,c_165,c_157,c_230]) ).

tcf(c_344,plain,
    ( hskp25
    | c3_1(a898)
    | c2_1(a898)
    | ~ c1_1(a898) ),
    inference(instantiation,[status(thm)],[c_342]) ).

tcf(c_345,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp2
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_241,c_173,c_165,c_157,c_180]) ).

tcf(c_348,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | hskp0
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_241,c_173,c_165,c_157,c_178]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp7
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_241,c_173,c_165,c_157,c_228]) ).

tcf(c_354,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp15
      | c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_241,c_173,c_165,c_157,c_221]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp18
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_241,c_173,c_165,c_157,c_205]) ).

tcf(c_363,negated_conjecture,
    ! [X0: $i] :
      ( hskp17
      | hskp0
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_241,c_173,c_165,c_157,c_204]) ).

tcf(c_366,negated_conjecture,
    ! [X0: $i] :
      ( hskp7
      | hskp4
      | c3_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_241,c_173,c_165,c_157,c_203]) ).

tcf(c_393,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_241,c_173,c_165,c_157,c_235]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp1
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_393]) ).

tcf(c_402,plain,
    ! [X0: $i] :
      ( hskp20
      | hskp1
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_241,c_173,c_165,c_157,c_231]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i] :
      ( hskp20
      | hskp1
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_402]) ).

tcf(c_408,plain,
    ! [X0: $i] :
      ( hskp12
      | hskp10
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_241,c_173,c_165,c_157,c_210]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i] :
      ( hskp12
      | hskp10
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_408]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_241,c_173,c_165,c_157,c_212]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c1_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_241,c_173,c_165,c_157,c_225]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c3_1(X1)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_430]) ).

tcf(c_432,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_241,c_173,c_165,c_157,c_220]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X1)
      | c2_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_432]) ).

tcf(c_434,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_241,c_173,c_165,c_157,c_215]) ).

tcf(c_435,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_434]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_241,c_173,c_165,c_157,c_214]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp22
      | c2_1(X0)
      | c1_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_441,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_241,c_173,c_165,c_157,c_206]) ).

tcf(c_442,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_441]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_241,c_173,c_165,c_157,c_196]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_241,c_173,c_165,c_157,c_190]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_241,c_173,c_165,c_157,c_183]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp4
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_241,c_173,c_165,c_157,c_182]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp3
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_459,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_241,c_173,c_165,c_157,c_216]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_461,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_241,c_173,c_165,c_157,c_209]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c3_1(X0)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_463,plain,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_241,c_173,c_165,c_157,c_207]) ).

tcf(c_464,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp15
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_463]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_241,c_173,c_165,c_157,c_238]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c3_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_470,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_241,c_173,c_165,c_157,c_236]) ).

tcf(c_471,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c3_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_470]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_241,c_173,c_165,c_157,c_232]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_241,c_173,c_165,c_157,c_224]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_479,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_241,c_173,c_165,c_157,c_208]) ).

tcf(c_480,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_479]) ).

tcf(c_481,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_241,c_173,c_165,c_157,c_179]) ).

tcf(c_482,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_481]) ).

tcf(c_483,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_241,c_173,c_165,c_157,c_188]) ).

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

tcf(c_485,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_241,c_173,c_165,c_157,c_211]) ).

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

tcf(c_487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_241,c_173,c_165,c_157,c_202]) ).

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

tcf(c_489,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X0)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_241,c_173,c_165,c_157,c_193]) ).

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

tcf(c_491,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_187,c_278]) ).

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

tcf(c_493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_241,c_173,c_165,c_157,c_177]) ).

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

tcf(c_495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X1)
      | c2_1(X2)
      | c2_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_241,c_173,c_165,c_157,c_222]) ).

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

tcf(c_497,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c1_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_241,c_173,c_165,c_157,c_194]) ).

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

tcf(c_1833,plain,
    ( hskp9
    | hskp7
    | ~ c0_1(a978) ),
    inference(resolution,[status(thm)],[c_248,c_160]) ).

tcf(c_1843,plain,
    ( hskp9
    | hskp7
    | c3_1(a978) ),
    inference(resolution,[status(thm)],[c_248,c_159]) ).

tcf(c_1853,plain,
    ( hskp9
    | hskp7
    | c2_1(a978) ),
    inference(resolution,[status(thm)],[c_248,c_158]) ).

tcf(c_2259,plain,
    ( hskp23
    | hskp22
    | ~ c2_1(a969) ),
    inference(resolution,[status(thm)],[c_247,c_156]) ).

tcf(c_2269,plain,
    ( hskp23
    | hskp22
    | ~ c1_1(a969) ),
    inference(resolution,[status(thm)],[c_247,c_155]) ).

tcf(c_2279,plain,
    ( hskp23
    | hskp22
    | c0_1(a969) ),
    inference(resolution,[status(thm)],[c_247,c_154]) ).

tcf(c_3444,plain,
    ! [X0: $i] :
      ( hskp1
      | c2_1(X0)
      | ~ c3_1(a937)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_403,c_132]) ).

tcf(c_3445,plain,
    ( hskp1
    | c2_1(a898)
    | ~ c3_1(a937)
    | ~ c1_1(a898)
    | ~ c0_1(a898) ),
    inference(instantiation,[status(thm)],[c_3444]) ).

tcf(c_3461,plain,
    ! [X0: $i] :
      ( hskp1
      | c2_1(X0)
      | ~ c0_1(a937)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_403,c_131]) ).

tcf(c_3462,plain,
    ( hskp1
    | c2_1(a898)
    | ~ c1_1(a898)
    | ~ c0_1(a937)
    | ~ c0_1(a898) ),
    inference(instantiation,[status(thm)],[c_3461]) ).

tcf(c_3478,plain,
    ! [X0: $i] :
      ( hskp1
      | c2_1(a937)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_403,c_130]) ).

tcf(c_3479,plain,
    ( hskp1
    | c2_1(a937)
    | c2_1(a898)
    | ~ c1_1(a898)
    | ~ c0_1(a898) ),
    inference(instantiation,[status(thm)],[c_3478]) ).

tcf(c_4044,plain,
    ( hskp22
    | hskp17
    | c3_1(a900) ),
    inference(resolution,[status(thm)],[c_245,c_164]) ).

tcf(c_4054,plain,
    ( hskp22
    | hskp17
    | c2_1(a900) ),
    inference(resolution,[status(thm)],[c_245,c_163]) ).

tcf(c_4064,plain,
    ( hskp22
    | hskp17
    | c0_1(a900) ),
    inference(resolution,[status(thm)],[c_245,c_162]) ).

tcf(c_4464,plain,
    ( hskp28
    | hskp22
    | ~ c3_1(a928) ),
    inference(resolution,[status(thm)],[c_245,c_120]) ).

tcf(c_4474,plain,
    ( hskp28
    | hskp22
    | ~ c2_1(a928) ),
    inference(resolution,[status(thm)],[c_245,c_119]) ).

tcf(c_4484,plain,
    ( hskp28
    | hskp22
    | c1_1(a928) ),
    inference(resolution,[status(thm)],[c_245,c_118]) ).

tcf(c_4956,plain,
    ( hskp22
    | hskp19
    | ~ c3_1(a921) ),
    inference(resolution,[status(thm)],[c_244,c_112]) ).

tcf(c_4966,plain,
    ( hskp22
    | hskp19
    | c1_1(a921) ),
    inference(resolution,[status(thm)],[c_244,c_111]) ).

tcf(c_4976,plain,
    ( hskp22
    | hskp19
    | c0_1(a921) ),
    inference(resolution,[status(thm)],[c_244,c_110]) ).

tcf(c_5757,plain,
    ( hskp25
    | hskp21
    | ~ c2_1(a898) ),
    inference(resolution,[status(thm)],[c_243,c_52]) ).

tcf(c_5767,plain,
    ( hskp25
    | hskp21
    | c1_1(a898) ),
    inference(resolution,[status(thm)],[c_243,c_51]) ).

tcf(c_5777,plain,
    ( hskp25
    | hskp21
    | c0_1(a898) ),
    inference(resolution,[status(thm)],[c_243,c_50]) ).

tcf(c_6081,plain,
    ( hskp19
    | hskp15
    | ~ c3_1(a939) ),
    inference(resolution,[status(thm)],[c_244,c_140]) ).

tcf(c_6091,plain,
    ( hskp19
    | hskp15
    | ~ c0_1(a939) ),
    inference(resolution,[status(thm)],[c_244,c_139]) ).

tcf(c_6101,plain,
    ( hskp19
    | hskp15
    | c1_1(a939) ),
    inference(resolution,[status(thm)],[c_244,c_138]) ).

tcf(c_7857,plain,
    ( hskp9
    | hskp0
    | ~ c3_1(a913) ),
    inference(resolution,[status(thm)],[c_242,c_100]) ).

tcf(c_7877,plain,
    ( hskp9
    | hskp0
    | c0_1(a913) ),
    inference(resolution,[status(thm)],[c_242,c_98]) ).

tcf(c_16350,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_498]) ).

tcf(c_16351,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_498]) ).

tcf(c_16352,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_498]) ).

tcf(c_16353,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_498]) ).

tcf(c_16354,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_496]) ).

tcf(c_16355,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_496]) ).

tcf(c_16356,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_496]) ).

tcf(c_16357,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_496]) ).

tcf(c_16358,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_494]) ).

tcf(c_16359,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | c1_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_494]) ).

tcf(c_16360,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_494]) ).

tcf(c_16361,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_494]) ).

tcf(c_16362,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_492]) ).

tcf(c_16363,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_492]) ).

tcf(c_16364,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_492]) ).

tcf(c_16365,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_492]) ).

tcf(c_16366,negated_conjecture,
    ( iPr_def_17
    | iPr_def_13
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_490]) ).

tcf(c_16367,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_488]) ).

tcf(c_16368,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_488]) ).

tcf(c_16369,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_488]) ).

tcf(c_16370,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_486]) ).

tcf(c_16373,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_484]) ).

tcf(c_16374,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_484]) ).

tcf(c_16375,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_484]) ).

tcf(c_16376,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_482]) ).

tcf(c_16377,negated_conjecture,
    ( iPr_def_28
    | iPr_def_24
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_482]) ).

tcf(c_16378,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_480]) ).

tcf(c_16381,negated_conjecture,
    ( iPr_def_18
    | iPr_def_15
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_16383,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_473]) ).

tcf(c_16385,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_471]) ).

tcf(c_16386,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_471]) ).

tcf(c_16387,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_468]) ).

tcf(c_16388,negated_conjecture,
    ( iPr_def_33
    | iPr_def_21
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_16390,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

tcf(c_16391,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_462]) ).

tcf(c_16394,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_460]) ).

tcf(c_16399,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_454]) ).

tcf(c_16400,negated_conjecture,
    ( iPr_def_38
    | iPr_def_15
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_16401,negated_conjecture,
    ( iPr_def_38
    | iPr_def_31
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_16402,negated_conjecture,
    ( iPr_def_32
    | iPr_def_27
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_16403,negated_conjecture,
    ( iPr_def_32
    | iPr_def_11
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_16407,negated_conjecture,
    ( iPr_def_29
    | iPr_def_14
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

tcf(c_16409,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_16410,negated_conjecture,
    ( iPr_def_36
    | iPr_def_31
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_435]) ).

tcf(c_16411,negated_conjecture,
    ( iPr_def_17
    | iPr_def_10
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

tcf(c_16412,negated_conjecture,
    ( iPr_def_14
    | iPr_def_12
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_16415,negated_conjecture,
    ( iPr_def_26
    | iPr_def_21
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_16421,negated_conjecture,
    ( iPr_def_34
    | hskp12
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_409]) ).

tcf(c_16423,negated_conjecture,
    ( iPr_def_10
    | hskp20
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_403]) ).

tcf(c_16426,negated_conjecture,
    ( iPr_def_13
    | hskp13
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).

tcf(c_16435,negated_conjecture,
    ( iPr_def_23
    | hskp7
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_366]) ).

tcf(c_16436,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_363]) ).

tcf(c_16437,negated_conjecture,
    ( iPr_def_40
    | hskp17
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_363]) ).

tcf(c_16438,negated_conjecture,
    ( iPr_def_40
    | hskp19
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

tcf(c_16441,negated_conjecture,
    ( iPr_def_17
    | hskp29
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_354]) ).

tcf(c_16442,negated_conjecture,
    ( iPr_def_14
    | hskp10
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_351]) ).

tcf(c_16443,negated_conjecture,
    ( iPr_def_16
    | hskp1
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_348]) ).

tcf(c_16444,negated_conjecture,
    ( iPr_def_28
    | hskp28
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_345]) ).

tcf(c_16445,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_16353]) ).

tcf(c_16449,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_16357]) ).

tcf(c_16453,negated_conjecture,
    ( iPr_def_18
    | iPr_def_17
    | iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_16361]) ).

tcf(c_16457,negated_conjecture,
    ( iPr_def_21
    | iPr_def_20
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_16365]) ).

tcf(c_16461,negated_conjecture,
    ( iPr_def_17
    | iPr_def_13
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_16366]) ).

tcf(c_16465,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_16369]) ).

tcf(c_16473,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_22 ),
    inference(demodulation,[status(thm)],[c_16375]) ).

tcf(c_16476,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_22
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16367]) ).

tcf(c_16477,negated_conjecture,
    ( iPr_def_28
    | iPr_def_24
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_16377]) ).

tcf(c_16484,negated_conjecture,
    ( iPr_def_18
    | iPr_def_15
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_16381]) ).

tcf(c_16493,negated_conjecture,
    ( iPr_def_32
    | iPr_def_18
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_16386]) ).

tcf(c_16496,negated_conjecture,
    ( iPr_def_33
    | iPr_def_21
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_16388]) ).

tcf(c_16502,negated_conjecture,
    ( iPr_def_29
    | iPr_def_21
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_16390]) ).

tcf(c_16517,negated_conjecture,
    ( iPr_def_38
    | iPr_def_15
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_16400]) ).

tcf(c_16518,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_15
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16356]) ).

tcf(c_16520,negated_conjecture,
    ( iPr_def_38
    | iPr_def_31
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16401]) ).

tcf(c_16523,negated_conjecture,
    ( iPr_def_32
    | iPr_def_27
    | hskp29 ),
    inference(demodulation,[status(thm)],[c_16402]) ).

tcf(c_16526,negated_conjecture,
    ( iPr_def_32
    | iPr_def_11
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16403]) ).

tcf(c_16535,negated_conjecture,
    ( iPr_def_29
    | iPr_def_14
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_16407]) ).

tcf(c_16537,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_29
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16378]) ).

tcf(c_16539,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16387]) ).

tcf(c_16541,negated_conjecture,
    ( iPr_def_36
    | iPr_def_19
    | hskp22 ),
    inference(demodulation,[status(thm)],[c_16409]) ).

tcf(c_16544,negated_conjecture,
    ( iPr_def_36
    | iPr_def_31
    | hskp22 ),
    inference(demodulation,[status(thm)],[c_16410]) ).

tcf(c_16545,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_36
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16394]) ).

tcf(c_16547,negated_conjecture,
    ( iPr_def_17
    | iPr_def_10
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_16411]) ).

tcf(c_16550,negated_conjecture,
    ( iPr_def_14
    | iPr_def_12
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_16412]) ).

tcf(c_16551,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16352]) ).

tcf(c_16559,negated_conjecture,
    ( iPr_def_26
    | iPr_def_21
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_16415]) ).

tcf(c_16567,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_24
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16370]) ).

tcf(c_16572,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_20 ),
    inference(demodulation,[status(thm)],[c_16363]) ).

tcf(c_16573,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_26 ),
    inference(demodulation,[status(thm)],[c_16373]) ).

tcf(c_16575,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16360]) ).

tcf(c_16576,negated_conjecture,
    ( iPr_def_34
    | hskp12
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_16421]) ).

tcf(c_16577,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_34
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16391]) ).

tcf(c_16579,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_19
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16362]) ).

tcf(c_16580,negated_conjecture,
    ( iPr_def_10
    | hskp20
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16423]) ).

tcf(c_16581,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16350]) ).

tcf(c_16583,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_31
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16383]) ).

tcf(c_16586,negated_conjecture,
    ( iPr_def_13
    | hskp13
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16426]) ).

tcf(c_16587,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_13
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16354]) ).

tcf(c_16589,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_32
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16385]) ).

tcf(c_16591,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_21
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16364]) ).

tcf(c_16595,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_38
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16399]) ).

tcf(c_16597,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_27
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16374]) ).

tcf(c_16603,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_11
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16351]) ).

tcf(c_16604,negated_conjecture,
    ( iPr_def_23
    | hskp7
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16435]) ).

tcf(c_16605,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_23
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16368]) ).

tcf(c_16606,negated_conjecture,
    ( iPr_def_40
    | hskp17
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_16437]) ).

tcf(c_16608,negated_conjecture,
    ( iPr_def_40
    | hskp19
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_16438]) ).

tcf(c_16609,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_40
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16436]) ).

tcf(c_16612,negated_conjecture,
    ( iPr_def_17
    | hskp29
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_16441]) ).

tcf(c_16613,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_17
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16359]) ).

tcf(c_16614,negated_conjecture,
    ( iPr_def_14
    | hskp10
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_16442]) ).

tcf(c_16615,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_14
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16355]) ).

tcf(c_16616,negated_conjecture,
    ( iPr_def_16
    | hskp1
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_16443]) ).

tcf(c_16617,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_16358]) ).

tcf(c_16618,negated_conjecture,
    ( iPr_def_28
    | hskp28
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_16444]) ).

tcf(c_16619,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_28 ),
    inference(demodulation,[status(thm)],[c_16376]) ).

tcf(c_16620,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_342]) ).

tcf(c_16730,plain,
    ( c3_1(a898)
    | c2_1(a898)
    | ~ iPr_def_14
    | ~ c0_1(a898) ),
    inference(instantiation,[status(thm)],[c_16615]) ).

tcf(c_16742,plain,
    ( c2_1(a898)
    | ~ iPr_def_10
    | ~ c1_1(a898)
    | ~ c0_1(a898) ),
    inference(instantiation,[status(thm)],[c_16581]) ).

tcf(c_16749,plain,
    ( c2_1(a898)
    | ~ iPr_def_31
    | ~ c3_1(a898)
    | ~ c0_1(a898) ),
    inference(instantiation,[status(thm)],[c_16583]) ).

tcf(c_16758,plain,
    ( c0_1(a907)
    | ~ iPr_def_22
    | ~ c3_1(a907)
    | ~ c2_1(a907) ),
    inference(instantiation,[status(thm)],[c_16476]) ).

tcf(c_16763,plain,
    ( c1_1(a907)
    | ~ iPr_def_19
    | ~ c3_1(a907)
    | ~ c2_1(a907) ),
    inference(instantiation,[status(thm)],[c_16579]) ).

tcf(c_16770,plain,
    ( c2_1(a950)
    | ~ iPr_def_13
    | ~ c3_1(a950)
    | ~ c1_1(a950) ),
    inference(instantiation,[status(thm)],[c_16587]) ).

tcf(c_16773,plain,
    ( c2_1(a901)
    | c0_1(a901)
    | ~ iPr_def_27
    | ~ c1_1(a901) ),
    inference(instantiation,[status(thm)],[c_16597]) ).

tcf(c_16776,plain,
    ( c2_1(a910)
    | c0_1(a910)
    | ~ iPr_def_27
    | ~ c1_1(a910) ),
    inference(instantiation,[status(thm)],[c_16597]) ).

tcf(c_16778,plain,
    ( c2_1(a939)
    | c0_1(a939)
    | ~ iPr_def_27
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16597]) ).

tcf(c_16781,plain,
    ( c2_1(a907)
    | c0_1(a907)
    | ~ iPr_def_11
    | ~ c3_1(a907) ),
    inference(instantiation,[status(thm)],[c_16603]) ).

tcf(c_16787,plain,
    ( c2_1(a907)
    | c1_1(a907)
    | c0_1(a907)
    | ~ iPr_def_16 ),
    inference(instantiation,[status(thm)],[c_16617]) ).

tcf(c_16788,plain,
    ( c2_1(a909)
    | c1_1(a909)
    | c0_1(a909)
    | ~ iPr_def_16 ),
    inference(instantiation,[status(thm)],[c_16617]) ).

tcf(c_16792,plain,
    ( c2_1(a958)
    | c1_1(a958)
    | c0_1(a958)
    | ~ iPr_def_16 ),
    inference(instantiation,[status(thm)],[c_16617]) ).

tcf(c_16794,plain,
    ( c2_1(a907)
    | c1_1(a907)
    | ~ iPr_def_24
    | ~ c3_1(a907) ),
    inference(instantiation,[status(thm)],[c_16567]) ).

tcf(c_16800,plain,
    ( c3_1(a904)
    | c1_1(a904)
    | ~ iPr_def_17
    | ~ c2_1(a904) ),
    inference(instantiation,[status(thm)],[c_16613]) ).

tcf(c_16802,plain,
    ( c3_1(a929)
    | c1_1(a929)
    | ~ iPr_def_17
    | ~ c2_1(a929) ),
    inference(instantiation,[status(thm)],[c_16613]) ).

tcf(c_16803,plain,
    ( c3_1(a937)
    | c1_1(a937)
    | ~ iPr_def_17
    | ~ c2_1(a937) ),
    inference(instantiation,[status(thm)],[c_16613]) ).

tcf(c_16806,plain,
    ( c3_1(a901)
    | c2_1(a901)
    | c0_1(a901)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_16572]) ).

tcf(c_16810,plain,
    ( c3_1(a958)
    | c2_1(a958)
    | c0_1(a958)
    | ~ iPr_def_20 ),
    inference(instantiation,[status(thm)],[c_16572]) ).

tcf(c_16817,plain,
    ( c3_1(a903)
    | ~ iPr_def_21
    | ~ c2_1(a903)
    | ~ c0_1(a903) ),
    inference(instantiation,[status(thm)],[c_16591]) ).

tcf(c_16850,plain,
    ( c3_1(a958)
    | c1_1(a958)
    | ~ iPr_def_17
    | ~ c2_1(a958) ),
    inference(instantiation,[status(thm)],[c_16613]) ).

tcf(c_16863,plain,
    ( c1_1(a929)
    | ~ iPr_def_15
    | ~ c2_1(a929)
    | ~ c0_1(a929) ),
    inference(instantiation,[status(thm)],[c_16518]) ).

tcf(c_16867,plain,
    ( c3_1(a899)
    | c0_1(a899)
    | ~ iPr_def_23
    | ~ c1_1(a899) ),
    inference(instantiation,[status(thm)],[c_16605]) ).

tcf(c_16869,plain,
    ( c3_1(a937)
    | c0_1(a937)
    | ~ iPr_def_23
    | ~ c1_1(a937) ),
    inference(instantiation,[status(thm)],[c_16605]) ).

tcf(c_16870,plain,
    ( c3_1(a939)
    | c0_1(a939)
    | ~ iPr_def_23
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16605]) ).

tcf(c_16883,plain,
    ( ~ iPr_def_18
    | ~ c3_1(a900)
    | ~ c2_1(a900)
    | ~ c0_1(a900) ),
    inference(instantiation,[status(thm)],[c_16575]) ).

tcf(c_16920,plain,
    ( ~ iPr_def_18
    | ~ c3_1(a929)
    | ~ c2_1(a929)
    | ~ c0_1(a929) ),
    inference(instantiation,[status(thm)],[c_16575]) ).

tcf(c_16972,plain,
    ( c2_1(a950)
    | ~ iPr_def_31
    | ~ c3_1(a950)
    | ~ c0_1(a950) ),
    inference(instantiation,[status(thm)],[c_16583]) ).

tcf(c_16978,plain,
    ( c3_1(a913)
    | ~ iPr_def_21
    | ~ c2_1(a913)
    | ~ c0_1(a913) ),
    inference(instantiation,[status(thm)],[c_16591]) ).

tcf(c_16979,plain,
    ( c3_1(a921)
    | ~ iPr_def_21
    | ~ c2_1(a921)
    | ~ c0_1(a921) ),
    inference(instantiation,[status(thm)],[c_16591]) ).

tcf(c_16987,plain,
    ( c2_1(a928)
    | c0_1(a928)
    | ~ iPr_def_27
    | ~ c1_1(a928) ),
    inference(instantiation,[status(thm)],[c_16597]) ).

tcf(c_17003,plain,
    ( c3_1(a937)
    | c0_1(a937)
    | ~ iPr_def_40
    | ~ c2_1(a937) ),
    inference(instantiation,[status(thm)],[c_16609]) ).

tcf(c_17005,plain,
    ( c3_1(a939)
    | c0_1(a939)
    | ~ iPr_def_40
    | ~ c2_1(a939) ),
    inference(instantiation,[status(thm)],[c_16609]) ).

tcf(c_17031,plain,
    ( c2_1(a914)
    | c1_1(a914)
    | c0_1(a914)
    | ~ iPr_def_16 ),
    inference(instantiation,[status(thm)],[c_16617]) ).

tcf(c_17034,plain,
    ( c2_1(a910)
    | c0_1(a910)
    | ~ iPr_def_11
    | ~ c3_1(a910) ),
    inference(instantiation,[status(thm)],[c_16603]) ).

tcf(c_17035,plain,
    ( c2_1(a914)
    | c0_1(a914)
    | ~ iPr_def_11
    | ~ c3_1(a914) ),
    inference(instantiation,[status(thm)],[c_16603]) ).

tcf(c_17044,plain,
    ( c3_1(a928)
    | c2_1(a928)
    | ~ iPr_def_14
    | ~ c0_1(a928) ),
    inference(instantiation,[status(thm)],[c_16615]) ).

tcf(c_17045,plain,
    ( c3_1(a938)
    | c2_1(a938)
    | ~ iPr_def_14
    | ~ c0_1(a938) ),
    inference(instantiation,[status(thm)],[c_16615]) ).

tcf(c_17047,plain,
    ( c3_1(a913)
    | c2_1(a913)
    | ~ iPr_def_14
    | ~ c0_1(a913) ),
    inference(instantiation,[status(thm)],[c_16615]) ).

tcf(c_17050,plain,
    ( c2_1(a910)
    | ~ iPr_def_13
    | ~ c3_1(a910)
    | ~ c1_1(a910) ),
    inference(instantiation,[status(thm)],[c_16587]) ).

tcf(c_17082,plain,
    ( hskp25
    | c3_1(a921)
    | c2_1(a921)
    | ~ c1_1(a921) ),
    inference(instantiation,[status(thm)],[c_16620]) ).

tcf(c_17083,plain,
    ( hskp25
    | c3_1(a928)
    | c2_1(a928)
    | ~ c1_1(a928) ),
    inference(instantiation,[status(thm)],[c_16620]) ).

tcf(c_17085,plain,
    ( hskp25
    | c3_1(a938)
    | c2_1(a938)
    | ~ c1_1(a938) ),
    inference(instantiation,[status(thm)],[c_16620]) ).

tcf(c_17086,plain,
    ( hskp25
    | c3_1(a939)
    | c2_1(a939)
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16620]) ).

tcf(c_17117,plain,
    ( c3_1(a937)
    | c1_1(a937)
    | c0_1(a937)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_16619]) ).

tcf(c_17120,plain,
    ( c3_1(a958)
    | c1_1(a958)
    | c0_1(a958)
    | ~ iPr_def_28 ),
    inference(instantiation,[status(thm)],[c_16619]) ).

tcf(c_17156,plain,
    ( c3_1(a921)
    | ~ iPr_def_32
    | ~ c1_1(a921)
    | ~ c0_1(a921) ),
    inference(instantiation,[status(thm)],[c_16589]) ).

tcf(c_17351,plain,
    ( c3_1(a921)
    | c2_1(a921)
    | ~ iPr_def_14
    | ~ c0_1(a921) ),
    inference(instantiation,[status(thm)],[c_16615]) ).

tcf(c_17413,plain,
    ( c3_1(a958)
    | c2_1(a958)
    | c1_1(a958)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16573]) ).

tcf(c_17414,plain,
    ( c3_1(a901)
    | c2_1(a901)
    | c1_1(a901)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16573]) ).

tcf(c_17416,plain,
    ( c3_1(a938)
    | c2_1(a938)
    | c1_1(a938)
    | ~ iPr_def_26 ),
    inference(instantiation,[status(thm)],[c_16573]) ).

tcf(c_17426,plain,
    ( c3_1(a930)
    | c1_1(a930)
    | ~ iPr_def_17
    | ~ c2_1(a930) ),
    inference(instantiation,[status(thm)],[c_16613]) ).

tcf(c_17431,plain,
    ( c0_1(a899)
    | ~ iPr_def_29
    | ~ c2_1(a899)
    | ~ c1_1(a899) ),
    inference(instantiation,[status(thm)],[c_16537]) ).

tcf(c_17436,plain,
    ( c0_1(a937)
    | ~ iPr_def_29
    | ~ c2_1(a937)
    | ~ c1_1(a937) ),
    inference(instantiation,[status(thm)],[c_16537]) ).

tcf(c_17437,plain,
    ( c0_1(a939)
    | ~ iPr_def_29
    | ~ c2_1(a939)
    | ~ c1_1(a939) ),
    inference(instantiation,[status(thm)],[c_16537]) ).

tcf(c_17465,plain,
    ( c1_1(a914)
    | ~ iPr_def_12
    | ~ c3_1(a914)
    | ~ c0_1(a914) ),
    inference(instantiation,[status(thm)],[c_16551]) ).

tcf(c_17466,plain,
    ( c1_1(a918)
    | ~ iPr_def_12
    | ~ c3_1(a918)
    | ~ c0_1(a918) ),
    inference(instantiation,[status(thm)],[c_16551]) ).

tcf(c_17497,plain,
    ( c1_1(a907)
    | c0_1(a907)
    | ~ iPr_def_38
    | ~ c3_1(a907) ),
    inference(instantiation,[status(thm)],[c_16595]) ).

tcf(c_17531,plain,
    ( c2_1(a911)
    | ~ iPr_def_13
    | ~ c3_1(a911)
    | ~ c1_1(a911) ),
    inference(instantiation,[status(thm)],[c_16587]) ).

tcf(c_17535,plain,
    ( ~ iPr_def_18
    | ~ c3_1(a911)
    | ~ c2_1(a911)
    | ~ c0_1(a911) ),
    inference(instantiation,[status(thm)],[c_16575]) ).

tcf(c_17566,plain,
    ( c2_1(a911)
    | ~ iPr_def_10
    | ~ c1_1(a911)
    | ~ c0_1(a911) ),
    inference(instantiation,[status(thm)],[c_16581]) ).

tcf(c_17570,plain,
    ( c0_1(a978)
    | ~ iPr_def_22
    | ~ c3_1(a978)
    | ~ c2_1(a978) ),
    inference(instantiation,[status(thm)],[c_16476]) ).

tcf(c_17577,plain,
    ( ~ iPr_def_33
    | ~ c2_1(a911)
    | ~ c1_1(a911)
    | ~ c0_1(a911) ),
    inference(instantiation,[status(thm)],[c_16539]) ).

tcf(c_17601,plain,
    ( c2_1(a938)
    | c1_1(a938)
    | ~ iPr_def_36
    | ~ c0_1(a938) ),
    inference(instantiation,[status(thm)],[c_16545]) ).

tcf(c_17602,plain,
    ( c2_1(a950)
    | c1_1(a950)
    | ~ iPr_def_36
    | ~ c0_1(a950) ),
    inference(instantiation,[status(thm)],[c_16545]) ).

tcf(c_17606,plain,
    ( c2_1(a911)
    | ~ iPr_def_31
    | ~ c3_1(a911)
    | ~ c0_1(a911) ),
    inference(instantiation,[status(thm)],[c_16583]) ).

tcf(c_17681,plain,
    ( c2_1(a969)
    | c1_1(a969)
    | ~ iPr_def_36
    | ~ c0_1(a969) ),
    inference(instantiation,[status(thm)],[c_16545]) ).

tcf(c_17728,plain,
    ( c3_1(a910)
    | c0_1(a910)
    | ~ iPr_def_23
    | ~ c1_1(a910) ),
    inference(instantiation,[status(thm)],[c_16605]) ).

tcf(c_17811,plain,
    ( c0_1(a899)
    | ~ iPr_def_34
    | ~ c3_1(a899)
    | ~ c1_1(a899) ),
    inference(instantiation,[status(thm)],[c_16577]) ).

tcf(c_17812,plain,
    ( c0_1(a899)
    | ~ iPr_def_22
    | ~ c3_1(a899)
    | ~ c2_1(a899) ),
    inference(instantiation,[status(thm)],[c_16476]) ).

tcf(c_17991,plain,
    ( c1_1(a930)
    | ~ iPr_def_19
    | ~ c3_1(a930)
    | ~ c2_1(a930) ),
    inference(instantiation,[status(thm)],[c_16579]) ).

tcf(c_17996,plain,
    ( c1_1(a930)
    | c0_1(a930)
    | ~ iPr_def_38
    | ~ c3_1(a930) ),
    inference(instantiation,[status(thm)],[c_16595]) ).

tcf(c_18060,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_17991,c_17996,c_17811,c_17812,c_17728,c_17681,c_17606,c_17602,c_17601,c_17577,c_17570,c_17566,c_17531,c_17535,c_17497,c_17466,c_17465,c_17437,c_17436,c_17431,c_17426,c_17416,c_17414,c_17413,c_17351,c_17156,c_17120,c_17117,c_17086,c_17085,c_17083,c_17082,c_17050,c_17047,c_17045,c_17044,c_17035,c_17034,c_17031,c_17005,c_17003,c_16987,c_16979,c_16978,c_16972,c_16920,c_16883,c_16870,c_16869,c_16867,c_16863,c_16850,c_16817,c_16810,c_16806,c_16803,c_16802,c_16800,c_16794,c_16792,c_16788,c_16787,c_16781,c_16778,c_16776,c_16773,c_16770,c_16763,c_16758,c_16749,c_16742,c_16730,c_16618,c_16616,c_16614,c_16612,c_16608,c_16606,c_16604,c_16586,c_16580,c_16576,c_16559,c_16550,c_16547,c_16544,c_16541,c_16535,c_16526,c_16523,c_16520,c_16517,c_16502,c_16496,c_16493,c_16484,c_16477,c_16473,c_16465,c_16461,c_16457,c_16453,c_16449,c_16445,c_7877,c_7857,c_6101,c_6091,c_6081,c_5777,c_5767,c_5757,c_4976,c_4966,c_4956,c_4484,c_4474,c_4464,c_4064,c_4054,c_4044,c_3479,c_3462,c_3445,c_2279,c_2269,c_2259,c_1853,c_1843,c_1833,c_344,c_52,c_56,c_58,c_59,c_60,c_64,c_67,c_68,c_79,c_80,c_86,c_87,c_88,c_91,c_92,c_100,c_103,c_104,c_108,c_112,c_119,c_120,c_124,c_127,c_128,c_131,c_132,c_135,c_136,c_139,c_140,c_144,c_150,c_151,c_152,c_50,c_51,c_54,c_55,c_62,c_63,c_66,c_78,c_90,c_98,c_102,c_106,c_107,c_110,c_111,c_118,c_122,c_123,c_126,c_130,c_134,c_138,c_142,c_143,c_162,c_163,c_164,c_166,c_167,c_168,c_242,c_243,c_244]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SYN474+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/1.06  % Computer : n004.cluster.edu
% 0.18/1.06  % Model    : x86_64 x86_64
% 0.18/1.06  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/1.06  % Memory   : 8046.5625MB
% 0.18/1.06  % OS       : Linux 6.8.0-71-generic
% 0.18/1.06  % CPULimit : 300
% 0.18/1.06  % WCLimit  : 300
% 0.18/1.06  % DateTime : Fri Sep 25 01:23:55 UTC 2026
% 0.18/1.06  % CPUTime  : 
% 0.18/1.06  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/1.12  Running first-order theorem proving
% 0.18/1.12  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/1.14  
% 0.18/1.14  % ======== iProver multi-core TPTP/SMT =========
% 0.18/1.14  
% 0.18/1.14  % Detected problem language: tptp
% 0.21/1.16  % Proving...
% 0.21/2.06  % SZS status Started for theBenchmark.p
% 0.21/2.06  % SZS status Theorem for theBenchmark.p
% 0.21/2.06  
% 0.21/2.06  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.21/2.06  
% 0.21/2.06  % ------  iProver source info
% 0.21/2.06  
% 0.21/2.06  % git: date: 2026-07-19 20:42:38 +0200
% 0.21/2.06  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.21/2.06  % git: non_committed_changes: false
% 0.21/2.06  
% 0.21/2.06  % ------ Parsing...
% 0.21/2.06  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 0.21/2.06  % 
% 0.21/2.06  
% 0.21/2.06  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 0.21/2.06  
% 0.21/2.06  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 0.21/2.06   gs_s  sp: 112 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.21/2.06  % ------ Proving...
% 0.21/2.06  % ------ Problem Properties 
% 0.21/2.06  
% 0.21/2.06  % 
% 0.21/2.06  % clauses                               200
% 0.21/2.06  % conjectures                           200
% 0.21/2.06  % EPR                                   200
% 0.21/2.06  % Horn                                  112
% 0.21/2.06  % unary                                 0
% 0.21/2.06  % binary                                96
% 0.21/2.06  % lits                                  537
% 0.21/2.06  % lits eq                               0
% 0.21/2.06  % fd_pure                               0
% 0.21/2.06  % fd_pseudo                             0
% 0.21/2.06  % fd_cond                               0
% 0.21/2.06  % fd_pseudo_cond                        0
% 0.21/2.06  % AC symbols                            0
% 0.21/2.06  
% 0.21/2.06  % ------ Schedule EPR non Horn non eq is on
% 0.21/2.06  
% 0.21/2.06  % ------ no equalities: superposition off 
% 0.21/2.06  
% 0.21/2.06  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.21/2.06  
% 0.21/2.06  
% 0.21/2.06  % ------ 
% 0.21/2.06  % Current options:
% 0.21/2.06  % ------ 
% 0.21/2.06  
% 0.21/2.06  
% 0.21/2.06  % 
% 0.21/2.06  
% 0.21/2.06  % ------ Proving...
% 0.21/2.06  % 
% 0.21/2.06  
% 0.21/2.06  % SZS status Theorem for theBenchmark.p
% 0.21/2.06  
% 0.21/2.06  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.97/2.07  
% 4.97/2.07  
%------------------------------------------------------------------------------