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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN471+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 : n009.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 03:40:23 PM UTC 2026

% Result   : Theorem 3.29s 1.19s
% Output   : CNFRefutation 3.29s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f225ERROR: Could not build tree for root c_17434ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp27
        | hskp13
        | hskp3 )
      & ( hskp24
        | hskp9 )
      & ( hskp18
        | hskp12
        | hskp10 )
      & ( hskp12
        | hskp9
        | hskp10 )
      & ( hskp2
        | hskp28
        | hskp10 )
      & ( hskp4
        | hskp21
        | hskp1 )
      & ( hskp24
        | hskp31
        | hskp1 )
      & ( hskp23
        | hskp25
        | hskp29 )
      & ( hskp26
        | hskp3
        | hskp30 )
      & ( hskp18
        | hskp5
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c1_1(X114) ) ) )
      & ( hskp2
        | hskp28
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp16
        | hskp29
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp22
        | hskp0
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp25
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c0_1(X110)
              | c3_1(X110) ) ) )
      & ( hskp4
        | hskp28
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c0_1(X109)
              | c3_1(X109) ) ) )
      & ( hskp14
        | ! [X108] :
            ( ndr1_0
           => ( ~ c2_1(X108)
              | ~ c0_1(X108)
              | c3_1(X108) ) ) )
      & ( hskp17
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c1_1(X107) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp24
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp5
        | hskp10
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp6
        | hskp29
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c1_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp22
        | hskp23
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c0_1(X101)
              | c2_1(X101) ) ) )
      & ( hskp22
        | hskp4
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp4
        | hskp8
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp18
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | ~ c1_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c0_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | ~ c0_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp28
        | hskp19
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp29
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | ~ c0_1(X90)
              | c2_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp12
        | hskp13
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c2_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp5
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp21
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c0_1(X85)
              | c1_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c1_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp20
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp12
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c0_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c2_1(X78)
              | ~ c0_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp7
        | hskp19
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp18
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp18
        | hskp17
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp12
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c2_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp4
        | hskp14
        | ! [X71] :
            ( ndr1_0
           => ( c3_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp16
        | hskp15
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp29
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | c3_1(X66)
              | c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp8
        | hskp14
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp14
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp13
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | ~ c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp7
        | hskp28
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp5
        | hskp10
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | c3_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp12
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c0_1(X52)
              | c3_1(X52)
              | c1_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp28
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c1_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp1
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c0_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp10
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | ~ c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp9
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | ~ c0_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp7
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | ~ c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | ~ c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c3_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp5
        | ! [X32] :
            ( ndr1_0
           => ( ~ c1_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp6
        | hskp5
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c1_1(X30)
              | c0_1(X30) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c0_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | ~ c2_1(X28)
              | c0_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c1_1(X26)
              | ~ c0_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c3_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | ~ c2_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp4
        | hskp3
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp2
        | hskp28
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp1
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | ~ c2_1(X16)
              | ~ c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | ~ c1_1(X12)
              | c3_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp0
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c0_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c0_1(X8)
              | c2_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | c3_1(X7)
              | c2_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c0_1(X5)
              | c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) )
        | ! [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
           => ( c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a672)
          & c2_1(a672)
          & c0_1(a672)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c2_1(a637)
          & c1_1(a637)
          & c0_1(a637)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a618)
          & c1_1(a618)
          & c0_1(a618)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a595)
          & c2_1(a595)
          & c1_1(a595)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a690)
          & ~ c2_1(a690)
          & ~ c1_1(a690)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a667)
          & ~ c1_1(a667)
          & ~ c0_1(a667)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a656)
          & c3_1(a656)
          & c1_1(a656)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a651)
          & c3_1(a651)
          & c1_1(a651)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a645)
          & ~ c0_1(a645)
          & c3_1(a645)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a644)
          & ~ c2_1(a644)
          & ~ c0_1(a644)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a631)
          & c3_1(a631)
          & c0_1(a631)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a630)
          & c3_1(a630)
          & c0_1(a630)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a627)
          & ~ c2_1(a627)
          & c0_1(a627)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a625)
          & ~ c0_1(a625)
          & c3_1(a625)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a624)
          & c1_1(a624)
          & c0_1(a624)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a620)
          & ~ c0_1(a620)
          & c1_1(a620)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a619)
          & ~ c1_1(a619)
          & c0_1(a619)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a615)
          & c2_1(a615)
          & c0_1(a615)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a614)
          & ~ c2_1(a614)
          & c1_1(a614)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a609)
          & ~ c1_1(a609)
          & c2_1(a609)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a608)
          & ~ c0_1(a608)
          & c1_1(a608)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a605)
          & c2_1(a605)
          & c0_1(a605)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a604)
          & c2_1(a604)
          & c1_1(a604)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a603)
          & ~ c1_1(a603)
          & c0_1(a603)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a602)
          & c3_1(a602)
          & c2_1(a602)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a600)
          & ~ c1_1(a600)
          & c3_1(a600)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a599)
          & c3_1(a599)
          & c2_1(a599)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a598)
          & ~ c1_1(a598)
          & ~ c0_1(a598)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a597)
          & c2_1(a597)
          & c1_1(a597)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a596)
          & ~ c0_1(a596)
          & c2_1(a596)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a594)
          & c1_1(a594)
          & c0_1(a594)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a593)
          & ~ c0_1(a593)
          & c2_1(a593)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp27
          | hskp13
          | hskp3 )
        & ( hskp24
          | hskp9 )
        & ( hskp18
          | hskp12
          | hskp10 )
        & ( hskp12
          | hskp9
          | hskp10 )
        & ( hskp2
          | hskp28
          | hskp10 )
        & ( hskp4
          | hskp21
          | hskp1 )
        & ( hskp24
          | hskp31
          | hskp1 )
        & ( hskp23
          | hskp25
          | hskp29 )
        & ( hskp26
          | hskp3
          | hskp30 )
        & ( hskp18
          | hskp5
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c1_1(X114) ) ) )
        & ( hskp2
          | hskp28
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp16
          | hskp29
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp22
          | hskp0
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp25
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c0_1(X110)
                | c3_1(X110) ) ) )
        & ( hskp4
          | hskp28
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c0_1(X109)
                | c3_1(X109) ) ) )
        & ( hskp14
          | ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c0_1(X108)
                | c3_1(X108) ) ) )
        & ( hskp17
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c1_1(X107) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp24
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp5
          | hskp10
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp6
          | hskp29
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp22
          | hskp23
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c0_1(X101)
                | c2_1(X101) ) ) )
        & ( hskp22
          | hskp4
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp4
          | hskp8
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp18
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | ~ c1_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c0_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | ~ c0_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp28
          | hskp19
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp29
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | ~ c0_1(X90)
                | c2_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp12
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c2_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp5
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp21
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c0_1(X85)
                | c1_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c1_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp20
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp12
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c0_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c2_1(X78)
                | ~ c0_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp7
          | hskp19
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp18
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp18
          | hskp17
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp12
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c2_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp4
          | hskp14
          | ! [X71] :
              ( ndr1_0
             => ( c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp16
          | hskp15
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp29
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp8
          | hskp14
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp14
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp13
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | ~ c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp7
          | hskp28
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp5
          | hskp10
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp12
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp28
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp1
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c0_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp10
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | ~ c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp9
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp7
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c3_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp5
          | ! [X32] :
              ( ndr1_0
             => ( ~ c1_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp6
          | hskp5
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c1_1(X30)
                | c0_1(X30) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c0_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | c0_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c1_1(X26)
                | ~ c0_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp4
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp2
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp1
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c1_1(X12)
                | c3_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp0
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | c3_1(X7)
                | c2_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) )
          | ! [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
             => ( c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a672)
            & c2_1(a672)
            & c0_1(a672)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c2_1(a637)
            & c1_1(a637)
            & c0_1(a637)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a618)
            & c1_1(a618)
            & c0_1(a618)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a595)
            & c2_1(a595)
            & c1_1(a595)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a690)
            & ~ c2_1(a690)
            & ~ c1_1(a690)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a667)
            & ~ c1_1(a667)
            & ~ c0_1(a667)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a656)
            & c3_1(a656)
            & c1_1(a656)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a651)
            & c3_1(a651)
            & c1_1(a651)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a645)
            & ~ c0_1(a645)
            & c3_1(a645)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a644)
            & ~ c2_1(a644)
            & ~ c0_1(a644)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a631)
            & c3_1(a631)
            & c0_1(a631)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a630)
            & c3_1(a630)
            & c0_1(a630)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a627)
            & ~ c2_1(a627)
            & c0_1(a627)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a625)
            & ~ c0_1(a625)
            & c3_1(a625)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a624)
            & c1_1(a624)
            & c0_1(a624)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a620)
            & ~ c0_1(a620)
            & c1_1(a620)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a619)
            & ~ c1_1(a619)
            & c0_1(a619)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a615)
            & c2_1(a615)
            & c0_1(a615)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a614)
            & ~ c2_1(a614)
            & c1_1(a614)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a609)
            & ~ c1_1(a609)
            & c2_1(a609)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a608)
            & ~ c0_1(a608)
            & c1_1(a608)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a605)
            & c2_1(a605)
            & c0_1(a605)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a604)
            & c2_1(a604)
            & c1_1(a604)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a602)
            & c3_1(a602)
            & c2_1(a602)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a600)
            & ~ c1_1(a600)
            & c3_1(a600)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a599)
            & c3_1(a599)
            & c2_1(a599)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a598)
            & ~ c1_1(a598)
            & ~ c0_1(a598)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a597)
            & c2_1(a597)
            & c1_1(a597)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a596)
            & ~ c0_1(a596)
            & c2_1(a596)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a594)
            & c1_1(a594)
            & c0_1(a594)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a593)
            & ~ c0_1(a593)
            & c2_1(a593)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp27
      | hskp13
      | hskp3 )
    & ( hskp24
      | hskp9 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( hskp2
      | hskp28
      | hskp10 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( hskp24
      | hskp31
      | hskp1 )
    & ( hskp23
      | hskp25
      | hskp29 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp18
      | hskp5
      | ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c2_1(X114)
            | ~ c1_1(X114) ) ) )
    & ( hskp2
      | hskp28
      | ! [X113] :
          ( ndr1_0
         => ( ~ c3_1(X113)
            | ~ c2_1(X113)
            | ~ c0_1(X113) ) ) )
    & ( hskp16
      | hskp29
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | ~ c1_1(X112)
            | ~ c0_1(X112) ) ) )
    & ( hskp22
      | hskp0
      | ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c1_1(X111)
            | c3_1(X111) ) ) )
    & ( hskp25
      | ! [X110] :
          ( ndr1_0
         => ( ~ c2_1(X110)
            | ~ c0_1(X110)
            | c3_1(X110) ) ) )
    & ( hskp4
      | hskp28
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c0_1(X109)
            | c3_1(X109) ) ) )
    & ( hskp14
      | ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c0_1(X108)
            | c3_1(X108) ) ) )
    & ( hskp17
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c1_1(X107) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | ~ c0_1(X106)
            | c3_1(X106) ) ) )
    & ( hskp24
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | ~ c0_1(X105) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c1_1(X104)
            | ~ c0_1(X104)
            | c3_1(X104) ) ) )
    & ( hskp5
      | hskp10
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c1_1(X103)
            | c2_1(X103) ) ) )
    & ( hskp6
      | hskp29
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c1_1(X102)
            | c2_1(X102) ) ) )
    & ( hskp22
      | hskp23
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c0_1(X101)
            | c2_1(X101) ) ) )
    & ( hskp22
      | hskp4
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | ~ c0_1(X100)
            | c2_1(X100) ) ) )
    & ( hskp4
      | hskp8
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) ) )
    & ( hskp18
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | ~ c1_1(X98)
            | ~ c0_1(X98) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | ~ c0_1(X97)
            | c2_1(X97) ) ) )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c2_1(X96)
            | ~ c0_1(X96) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c1_1(X95)
            | ~ c0_1(X95) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c3_1(X94)
            | c2_1(X94) ) ) )
    & ( hskp28
      | hskp19
      | ! [X93] :
          ( ndr1_0
         => ( ~ c0_1(X93)
            | c3_1(X93)
            | c2_1(X93) ) ) )
    & ( hskp30
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c2_1(X92)
            | ~ c0_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c0_1(X91)
            | c3_1(X91)
            | c2_1(X91) ) ) )
    & ( hskp29
      | ! [X90] :
          ( ndr1_0
         => ( ~ c1_1(X90)
            | ~ c0_1(X90)
            | c2_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c3_1(X89)
            | c2_1(X89) ) ) )
    & ( hskp12
      | hskp13
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c2_1(X88)
            | c1_1(X88) ) ) )
    & ( hskp5
      | hskp14
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) ) )
    & ( hskp21
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | ~ c0_1(X86)
            | c3_1(X86) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c0_1(X85)
            | c1_1(X85) ) ) )
    & ( ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | c3_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c1_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) ) )
    & ( hskp20
      | ! [X81] :
          ( ndr1_0
         => ( ~ c0_1(X81)
            | c3_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c0_1(X80)
            | c1_1(X80) ) ) )
    & ( hskp12
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | ~ c0_1(X79)
            | c2_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c2_1(X78)
            | ~ c0_1(X78)
            | c1_1(X78) ) ) )
    & ( hskp7
      | hskp19
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp18
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | ~ c1_1(X76)
            | ~ c0_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp18
      | hskp17
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | c2_1(X74)
            | c1_1(X74) ) ) )
    & ( hskp12
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c0_1(X73)
            | c2_1(X73) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c2_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp4
      | hskp14
      | ! [X71] :
          ( ndr1_0
         => ( c3_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) ) )
    & ( hskp16
      | hskp15
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp29
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | ~ c2_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | ~ c0_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c2_1(X66) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp8
      | hskp14
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp14
      | ! [X63] :
          ( ndr1_0
         => ( ~ c2_1(X63)
            | ~ c1_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp13
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c0_1(X61)
            | c2_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c2_1(X59)
            | ~ c1_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp7
      | hskp28
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp5
      | hskp10
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp12
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp11
      | ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c3_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp28
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c2_1(X50) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c3_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp1
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c0_1(X48)
            | c1_1(X48) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp10
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | ~ c1_1(X46) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp9
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c1_1(X43)
            | c2_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c2_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | c3_1(X41)
            | c1_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | c2_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp8
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c2_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp7
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( c3_1(X36)
            | c2_1(X36)
            | c0_1(X36) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c1_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c3_1(X34)
            | c2_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( hskp5
      | ! [X32] :
          ( ndr1_0
         => ( ~ c1_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c3_1(X31)
            | c2_1(X31)
            | c0_1(X31) ) ) )
    & ( hskp6
      | hskp5
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c1_1(X30)
            | c0_1(X30) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c0_1(X29)
            | c2_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | c0_1(X28) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | c1_1(X27)
            | c0_1(X27) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( ~ c1_1(X26)
            | ~ c0_1(X26)
            | c3_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c0_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | c1_1(X24)
            | c0_1(X24) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c3_1(X22)
            | c2_1(X22)
            | c0_1(X22) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | c1_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c2_1(X20)
            | c1_1(X20)
            | c0_1(X20) ) ) )
    & ( hskp2
      | hskp28
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c1_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp1
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | c1_1(X17)
            | c0_1(X17) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c3_1(X15)
            | c1_1(X15)
            | c0_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c2_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c1_1(X12)
            | c3_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( hskp0
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( c2_1(X9)
            | c1_1(X9)
            | c0_1(X9) ) ) )
    & ( ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c0_1(X7)
            | c3_1(X7)
            | c2_1(X7) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c2_1(X6)
            | c1_1(X6)
            | c0_1(X6) ) ) )
    & ( ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | c1_1(X4)
            | c0_1(X4) ) )
      | ! [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
         => ( c3_1(X1)
            | c1_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c3_1(a672)
        & c2_1(a672)
        & c0_1(a672)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a637)
        & c1_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a618)
        & c1_1(a618)
        & c0_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a595)
        & c2_1(a595)
        & c1_1(a595)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a690)
        & ~ c2_1(a690)
        & ~ c1_1(a690)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a667)
        & ~ c1_1(a667)
        & ~ c0_1(a667)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a656)
        & c3_1(a656)
        & c1_1(a656)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a651)
        & c3_1(a651)
        & c1_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a644)
        & ~ c2_1(a644)
        & ~ c0_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a631)
        & c3_1(a631)
        & c0_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a630)
        & c3_1(a630)
        & c0_1(a630)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a627)
        & ~ c2_1(a627)
        & c0_1(a627)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a625)
        & ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a620)
        & ~ c0_1(a620)
        & c1_1(a620)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a614)
        & ~ c2_1(a614)
        & c1_1(a614)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a609)
        & ~ c1_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a608)
        & ~ c0_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a605)
        & c2_1(a605)
        & c0_1(a605)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a602)
        & c3_1(a602)
        & c2_1(a602)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a600)
        & ~ c1_1(a600)
        & c3_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a598)
        & ~ c1_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a597)
        & c2_1(a597)
        & c1_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a596)
        & ~ c0_1(a596)
        & c2_1(a596)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a594)
        & c1_1(a594)
        & c0_1(a594)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a593)
        & ~ c0_1(a593)
        & c2_1(a593)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp27
      | hskp13
      | hskp3 )
    & ( hskp24
      | hskp9 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( hskp2
      | hskp28
      | hskp10 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( hskp24
      | hskp31
      | hskp1 )
    & ( hskp23
      | hskp25
      | hskp29 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp18
      | hskp5
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c1_1(X114) ) )
    & ( hskp2
      | hskp28
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c2_1(X113)
          | ~ c0_1(X113) ) )
    & ( hskp16
      | hskp29
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp22
      | hskp0
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | c3_1(X111) ) )
    & ( hskp25
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c0_1(X110)
          | c3_1(X110) ) )
    & ( hskp4
      | hskp28
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109) ) )
    & ( hskp14
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp17
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107) )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp24
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp5
      | hskp10
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) ) )
    & ( hskp6
      | hskp29
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102) ) )
    & ( hskp22
      | hskp23
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) ) )
    & ( hskp22
      | hskp4
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp4
      | hskp8
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp18
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ c0_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | ~ c0_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp28
      | hskp19
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp30
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c2_1(X92)
          | ~ c0_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp29
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c2_1(X89) ) )
    & ( hskp12
      | hskp13
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88) ) )
    & ( hskp5
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp21
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | c3_1(X83)
          | c2_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp20
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c1_1(X80) ) )
    & ( hskp12
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) ) )
    & ( hskp7
      | hskp19
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( hskp18
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75) ) )
    & ( hskp18
      | hskp17
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp12
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp4
      | hskp14
      | ! [X71] :
          ( ~ ndr1_0
          | c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp16
      | hskp15
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | c0_1(X70) ) )
    & ( hskp29
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | c3_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( hskp8
      | hskp14
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp14
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c2_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp13
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c0_1(X61)
          | c2_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp7
      | hskp28
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56) ) )
    & ( hskp5
      | hskp10
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55) ) )
    & ( hskp12
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp11
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp28
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | c2_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp1
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp10
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | ~ c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp9
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c2_1(X44)
          | ~ c0_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | ~ c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | c3_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp7
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c0_1(X34)
          | c3_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp5
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c3_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp6
      | hskp5
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c1_1(X30)
          | c0_1(X30) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c1_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | ~ c0_1(X26)
          | c3_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c3_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp2
      | hskp28
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp1
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c1_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp0
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c0_1(X7)
          | c3_1(X7)
          | c2_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [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
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a672)
        & c2_1(a672)
        & c0_1(a672)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a637)
        & c1_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a618)
        & c1_1(a618)
        & c0_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a595)
        & c2_1(a595)
        & c1_1(a595)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a690)
        & ~ c2_1(a690)
        & ~ c1_1(a690)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a667)
        & ~ c1_1(a667)
        & ~ c0_1(a667)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a656)
        & c3_1(a656)
        & c1_1(a656)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a651)
        & c3_1(a651)
        & c1_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a644)
        & ~ c2_1(a644)
        & ~ c0_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a631)
        & c3_1(a631)
        & c0_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a630)
        & c3_1(a630)
        & c0_1(a630)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a627)
        & ~ c2_1(a627)
        & c0_1(a627)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a625)
        & ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a620)
        & ~ c0_1(a620)
        & c1_1(a620)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a614)
        & ~ c2_1(a614)
        & c1_1(a614)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a609)
        & ~ c1_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a608)
        & ~ c0_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a605)
        & c2_1(a605)
        & c0_1(a605)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a602)
        & c3_1(a602)
        & c2_1(a602)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a600)
        & ~ c1_1(a600)
        & c3_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a598)
        & ~ c1_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a597)
        & c2_1(a597)
        & c1_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a596)
        & ~ c0_1(a596)
        & c2_1(a596)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a594)
        & c1_1(a594)
        & c0_1(a594)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a593)
        & ~ c0_1(a593)
        & c2_1(a593)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp27
      | hskp13
      | hskp3 )
    & ( hskp24
      | hskp9 )
    & ( hskp18
      | hskp12
      | hskp10 )
    & ( hskp12
      | hskp9
      | hskp10 )
    & ( hskp2
      | hskp28
      | hskp10 )
    & ( hskp4
      | hskp21
      | hskp1 )
    & ( hskp24
      | hskp31
      | hskp1 )
    & ( hskp23
      | hskp25
      | hskp29 )
    & ( hskp26
      | hskp3
      | hskp30 )
    & ( hskp18
      | hskp5
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c3_1(X114)
          | ~ c2_1(X114)
          | ~ c1_1(X114) ) )
    & ( hskp2
      | hskp28
      | ! [X113] :
          ( ~ ndr1_0
          | ~ c3_1(X113)
          | ~ c2_1(X113)
          | ~ c0_1(X113) ) )
    & ( hskp16
      | hskp29
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c2_1(X112)
          | ~ c1_1(X112)
          | ~ c0_1(X112) ) )
    & ( hskp22
      | hskp0
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c2_1(X111)
          | ~ c1_1(X111)
          | c3_1(X111) ) )
    & ( hskp25
      | ! [X110] :
          ( ~ ndr1_0
          | ~ c2_1(X110)
          | ~ c0_1(X110)
          | c3_1(X110) ) )
    & ( hskp4
      | hskp28
      | ! [X109] :
          ( ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c0_1(X109)
          | c3_1(X109) ) )
    & ( hskp14
      | ! [X108] :
          ( ~ ndr1_0
          | ~ c2_1(X108)
          | ~ c0_1(X108)
          | c3_1(X108) ) )
    & ( hskp17
      | ! [X107] :
          ( ~ ndr1_0
          | ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c1_1(X107) )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106) ) )
    & ( hskp24
      | ! [X105] :
          ( ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c2_1(X105)
          | ~ c0_1(X105) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c1_1(X104)
          | ~ c0_1(X104)
          | c3_1(X104) ) )
    & ( hskp5
      | hskp10
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c3_1(X103)
          | ~ c1_1(X103)
          | c2_1(X103) ) )
    & ( hskp6
      | hskp29
      | ! [X102] :
          ( ~ ndr1_0
          | ~ c3_1(X102)
          | ~ c1_1(X102)
          | c2_1(X102) ) )
    & ( hskp22
      | hskp23
      | ! [X101] :
          ( ~ ndr1_0
          | ~ c3_1(X101)
          | ~ c0_1(X101)
          | c2_1(X101) ) )
    & ( hskp22
      | hskp4
      | ! [X100] :
          ( ~ ndr1_0
          | ~ c1_1(X100)
          | ~ c0_1(X100)
          | c2_1(X100) ) )
    & ( hskp4
      | hskp8
      | ! [X99] :
          ( ~ ndr1_0
          | ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99) ) )
    & ( hskp18
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ c0_1(X98) )
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | c2_1(X97) ) )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c2_1(X96)
          | ~ c0_1(X96) )
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ c0_1(X95) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94) ) )
    & ( hskp28
      | hskp19
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( hskp30
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c2_1(X92)
          | ~ c0_1(X92) )
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | c3_1(X91)
          | c2_1(X91) ) )
    & ( hskp29
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | c2_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c0_1(X89)
          | c3_1(X89)
          | c2_1(X89) ) )
    & ( hskp12
      | hskp13
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c3_1(X88)
          | ~ c2_1(X88)
          | c1_1(X88) ) )
    & ( hskp5
      | hskp14
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87) ) )
    & ( hskp21
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c1_1(X86)
          | ~ c0_1(X86)
          | c3_1(X86) )
      | ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c0_1(X85)
          | c1_1(X85) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c1_1(X83)
          | c3_1(X83)
          | c2_1(X83) )
      | ! [X82] :
          ( ~ ndr1_0
          | ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82) ) )
    & ( hskp20
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c0_1(X81)
          | c3_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c0_1(X80)
          | c1_1(X80) ) )
    & ( hskp12
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | ~ c0_1(X79)
          | c2_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c2_1(X78)
          | ~ c0_1(X78)
          | c1_1(X78) ) )
    & ( hskp7
      | hskp19
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | c3_1(X77)
          | c1_1(X77) ) )
    & ( hskp18
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c3_1(X76)
          | ~ c1_1(X76)
          | ~ c0_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75) ) )
    & ( hskp18
      | hskp17
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | c2_1(X74)
          | c1_1(X74) ) )
    & ( hskp12
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c3_1(X73)
          | ~ c0_1(X73)
          | c2_1(X73) )
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c2_1(X72)
          | c1_1(X72) ) )
    & ( hskp4
      | hskp14
      | ! [X71] :
          ( ~ ndr1_0
          | c3_1(X71)
          | c2_1(X71)
          | c1_1(X71) ) )
    & ( hskp16
      | hskp15
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | c0_1(X70) ) )
    & ( hskp29
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c3_1(X68)
          | ~ c2_1(X68)
          | c0_1(X68) ) )
    & ( ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | ~ c1_1(X67)
          | ~ c0_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c1_1(X66)
          | c3_1(X66)
          | c2_1(X66) )
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c3_1(X65)
          | ~ c2_1(X65)
          | c0_1(X65) ) )
    & ( hskp8
      | hskp14
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64) ) )
    & ( hskp14
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c2_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62) ) )
    & ( hskp13
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c3_1(X61)
          | ~ c0_1(X61)
          | c2_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c2_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c3_1(X59)
          | ~ c2_1(X59)
          | ~ c1_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c3_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57) ) )
    & ( hskp7
      | hskp28
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56) ) )
    & ( hskp5
      | hskp10
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55) ) )
    & ( hskp12
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53) ) )
    & ( hskp11
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52) )
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | c3_1(X51)
          | c0_1(X51) ) )
    & ( hskp28
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c1_1(X50)
          | c2_1(X50) )
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c1_1(X49)
          | c3_1(X49)
          | c0_1(X49) ) )
    & ( hskp1
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c0_1(X48)
          | c1_1(X48) )
      | ! [X47] :
          ( ~ ndr1_0
          | ~ c1_1(X47)
          | c3_1(X47)
          | c0_1(X47) ) )
    & ( hskp10
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | ~ c1_1(X46) )
      | ! [X45] :
          ( ~ ndr1_0
          | ~ c1_1(X45)
          | c2_1(X45)
          | c0_1(X45) ) )
    & ( hskp9
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c2_1(X44)
          | ~ c0_1(X44) )
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c1_1(X43)
          | c2_1(X43)
          | c0_1(X43) ) )
    & ( ! [X42] :
          ( ~ ndr1_0
          | ~ c3_1(X42)
          | ~ c2_1(X42)
          | ~ c0_1(X42) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c2_1(X41)
          | c3_1(X41)
          | c1_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c1_1(X40)
          | c2_1(X40)
          | c0_1(X40) ) )
    & ( hskp8
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | c2_1(X38)
          | c0_1(X38) ) )
    & ( hskp7
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | c3_1(X36)
          | c2_1(X36)
          | c0_1(X36) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ c0_1(X35) )
      | ! [X34] :
          ( ~ ndr1_0
          | ~ c0_1(X34)
          | c3_1(X34)
          | c2_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | c3_1(X33)
          | c2_1(X33)
          | c0_1(X33) ) )
    & ( hskp5
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | c3_1(X32)
          | c0_1(X32) )
      | ! [X31] :
          ( ~ ndr1_0
          | c3_1(X31)
          | c2_1(X31)
          | c0_1(X31) ) )
    & ( hskp6
      | hskp5
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c3_1(X30)
          | c1_1(X30)
          | c0_1(X30) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | ~ c3_1(X29)
          | ~ c0_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | ~ c2_1(X28)
          | c0_1(X28) )
      | ! [X27] :
          ( ~ ndr1_0
          | ~ c3_1(X27)
          | c1_1(X27)
          | c0_1(X27) ) )
    & ( ! [X26] :
          ( ~ ndr1_0
          | ~ c1_1(X26)
          | ~ c0_1(X26)
          | c3_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c1_1(X25)
          | c3_1(X25)
          | c0_1(X25) )
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | c1_1(X24)
          | c0_1(X24) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) )
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c3_1(X21)
          | c1_1(X21)
          | c0_1(X21) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c2_1(X20)
          | c1_1(X20)
          | c0_1(X20) ) )
    & ( hskp2
      | hskp28
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c1_1(X19)
          | c0_1(X19) ) )
    & ( hskp1
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18) )
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | c1_1(X17)
          | c0_1(X17) ) )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16) )
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c3_1(X15)
          | c1_1(X15)
          | c0_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c2_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c2_1(X12)
          | ~ c1_1(X12)
          | c3_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( hskp0
      | ! [X10] :
          ( ~ ndr1_0
          | ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | c1_1(X9)
          | c0_1(X9) ) )
    & ( ! [X8] :
          ( ~ ndr1_0
          | ~ c3_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8) )
      | ! [X7] :
          ( ~ ndr1_0
          | ~ c0_1(X7)
          | c3_1(X7)
          | c2_1(X7) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | c1_1(X6)
          | c0_1(X6) ) )
    & ( ! [X5] :
          ( ~ ndr1_0
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5) )
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | c1_1(X4)
          | c0_1(X4) )
      | ! [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
          | c3_1(X1)
          | c1_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c3_1(a672)
        & c2_1(a672)
        & c0_1(a672)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c2_1(a637)
        & c1_1(a637)
        & c0_1(a637)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a618)
        & c1_1(a618)
        & c0_1(a618)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a595)
        & c2_1(a595)
        & c1_1(a595)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a690)
        & ~ c2_1(a690)
        & ~ c1_1(a690)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a667)
        & ~ c1_1(a667)
        & ~ c0_1(a667)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a656)
        & c3_1(a656)
        & c1_1(a656)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a651)
        & c3_1(a651)
        & c1_1(a651)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a645)
        & ~ c0_1(a645)
        & c3_1(a645)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a644)
        & ~ c2_1(a644)
        & ~ c0_1(a644)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a631)
        & c3_1(a631)
        & c0_1(a631)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a630)
        & c3_1(a630)
        & c0_1(a630)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a627)
        & ~ c2_1(a627)
        & c0_1(a627)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a625)
        & ~ c0_1(a625)
        & c3_1(a625)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a624)
        & c1_1(a624)
        & c0_1(a624)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a620)
        & ~ c0_1(a620)
        & c1_1(a620)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a619)
        & ~ c1_1(a619)
        & c0_1(a619)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a615)
        & c2_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a614)
        & ~ c2_1(a614)
        & c1_1(a614)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a609)
        & ~ c1_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a608)
        & ~ c0_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a605)
        & c2_1(a605)
        & c0_1(a605)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a604)
        & c2_1(a604)
        & c1_1(a604)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a602)
        & c3_1(a602)
        & c2_1(a602)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a600)
        & ~ c1_1(a600)
        & c3_1(a600)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a599)
        & c3_1(a599)
        & c2_1(a599)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a598)
        & ~ c1_1(a598)
        & ~ c0_1(a598)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a597)
        & c2_1(a597)
        & c1_1(a597)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a596)
        & ~ c0_1(a596)
        & c2_1(a596)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a594)
        & c1_1(a594)
        & c0_1(a594)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a593)
        & ~ c0_1(a593)
        & c2_1(a593)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp27
    | hskp13
    | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp24
    | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp18
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f9,plain,
    ( hskp12
    | hskp9
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp2
    | hskp28
    | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp4
    | hskp21
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp24
    | hskp31
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ( hskp23
    | hskp25
    | hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ( hskp26
    | hskp3
    | hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X114] :
      ( hskp18
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X114)
      | ~ c2_1(X114)
      | ~ c1_1(X114) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X113] :
      ( hskp2
      | hskp28
      | ~ ndr1_0
      | ~ c3_1(X113)
      | ~ c2_1(X113)
      | ~ c0_1(X113) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X112] :
      ( hskp16
      | hskp29
      | ~ ndr1_0
      | ~ c2_1(X112)
      | ~ c1_1(X112)
      | ~ c0_1(X112) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X111] :
      ( hskp22
      | hskp0
      | ~ ndr1_0
      | ~ c2_1(X111)
      | ~ c1_1(X111)
      | c3_1(X111) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f19,plain,
    ! [X110] :
      ( hskp25
      | ~ ndr1_0
      | ~ c2_1(X110)
      | ~ c0_1(X110)
      | c3_1(X110) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X109] :
      ( hskp4
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X109)
      | ~ c0_1(X109)
      | c3_1(X109) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X108] :
      ( hskp14
      | ~ ndr1_0
      | ~ c2_1(X108)
      | ~ c0_1(X108)
      | c3_1(X108) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X103] :
      ( hskp5
      | hskp10
      | ~ ndr1_0
      | ~ c3_1(X103)
      | ~ c1_1(X103)
      | c2_1(X103) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X102] :
      ( hskp6
      | hskp29
      | ~ ndr1_0
      | ~ c3_1(X102)
      | ~ c1_1(X102)
      | c2_1(X102) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X101] :
      ( hskp22
      | hskp23
      | ~ ndr1_0
      | ~ c3_1(X101)
      | ~ c0_1(X101)
      | c2_1(X101) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f27,plain,
    ! [X100] :
      ( hskp22
      | hskp4
      | ~ ndr1_0
      | ~ c1_1(X100)
      | ~ c0_1(X100)
      | c2_1(X100) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X99] :
      ( hskp4
      | hskp8
      | ~ ndr1_0
      | ~ c1_1(X99)
      | ~ c0_1(X99)
      | c2_1(X99) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X93] :
      ( hskp28
      | hskp19
      | ~ ndr1_0
      | ~ c0_1(X93)
      | c3_1(X93)
      | c2_1(X93) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X88] :
      ( hskp12
      | hskp13
      | ~ ndr1_0
      | ~ c3_1(X88)
      | ~ c2_1(X88)
      | c1_1(X88) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X87] :
      ( hskp5
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X87)
      | ~ c0_1(X87)
      | c1_1(X87) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X77] :
      ( hskp7
      | hskp19
      | ~ ndr1_0
      | ~ c2_1(X77)
      | c3_1(X77)
      | c1_1(X77) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X74] :
      ( hskp18
      | hskp17
      | ~ ndr1_0
      | ~ c3_1(X74)
      | c2_1(X74)
      | c1_1(X74) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X71] :
      ( hskp4
      | hskp14
      | ~ ndr1_0
      | c3_1(X71)
      | c2_1(X71)
      | c1_1(X71) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X70] :
      ( hskp16
      | hskp15
      | ~ ndr1_0
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c0_1(X70) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ! [X64] :
      ( hskp8
      | hskp14
      | ~ ndr1_0
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ! [X56] :
      ( hskp7
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X56)
      | c3_1(X56)
      | c0_1(X56) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f53,plain,
    ! [X55] :
      ( hskp5
      | hskp10
      | ~ ndr1_0
      | ~ c2_1(X55)
      | c3_1(X55)
      | c0_1(X55) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ! [X30] :
      ( hskp6
      | hskp5
      | ~ ndr1_0
      | ~ c3_1(X30)
      | c1_1(X30)
      | c0_1(X30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ! [X20] :
      ( hskp4
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X20)
      | c1_1(X20)
      | c0_1(X20) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ! [X19] :
      ( hskp2
      | hskp28
      | ~ ndr1_0
      | ~ c2_1(X19)
      | c1_1(X19)
      | c0_1(X19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( c3_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( c2_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( c0_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f5]) ).

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

fof(f82,plain,
    ( c2_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( c1_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( c0_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( c3_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( c1_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( c0_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( c3_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( c2_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c1_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ c3_1(a690)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ c2_1(a690)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ c1_1(a690)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ c3_1(a667)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ c1_1(a667)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ c0_1(a667)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f101,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c0_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( c3_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( c1_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c2_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( c3_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c1_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ c2_1(a645)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ c0_1(a645)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( c3_1(a645)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c3_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ c2_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ c0_1(a644)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c1_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( c3_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( c0_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ c2_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( c3_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( c0_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c3_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ c2_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c0_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c3_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ c2_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( c1_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( c0_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ c2_1(a620)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ c0_1(a620)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( c1_1(a620)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a619)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c1_1(a619)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a619)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c1_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( c2_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ c3_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ c2_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( c1_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ c3_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ c1_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( c2_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c0_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( c1_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c3_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c2_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c0_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( c2_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( c1_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f170,plain,
    ( ~ c2_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f171,plain,
    ( ~ c1_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f172,plain,
    ( c0_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f174,plain,
    ( ~ c0_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f175,plain,
    ( c3_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f176,plain,
    ( c2_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f178,plain,
    ( ~ c2_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f179,plain,
    ( ~ c1_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f180,plain,
    ( c3_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f182,plain,
    ( ~ c1_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f183,plain,
    ( c3_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f184,plain,
    ( c2_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f186,plain,
    ( ~ c2_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f187,plain,
    ( ~ c1_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f188,plain,
    ( ~ c0_1(a598)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f190,plain,
    ( ~ c3_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f191,plain,
    ( c2_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f192,plain,
    ( c1_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f193,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f194,plain,
    ( ~ c1_1(a596)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f195,plain,
    ( ~ c0_1(a596)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f196,plain,
    ( c2_1(a596)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f198,plain,
    ( ~ c3_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f199,plain,
    ( c1_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f200,plain,
    ( c0_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f202,plain,
    ( ~ c3_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f203,plain,
    ( ~ c0_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f204,plain,
    ( c2_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( c2_1(a593)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a593) ),
    inference(cnf_transformation,[],[f203]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a593) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_55,negated_conjecture,
    ( c1_1(a594)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a594) ),
    inference(cnf_transformation,[],[f198]) ).

tcf(c_58,negated_conjecture,
    ( c2_1(a596)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f196]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a596) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a596) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_61,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_62,negated_conjecture,
    ( c1_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_63,negated_conjecture,
    ( c2_1(a597)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f191]) ).

tcf(c_64,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a597) ),
    inference(cnf_transformation,[],[f190]) ).

tcf(c_66,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a598) ),
    inference(cnf_transformation,[],[f188]) ).

tcf(c_67,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a598) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_68,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a598) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_70,negated_conjecture,
    ( c2_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_71,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a599) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_74,negated_conjecture,
    ( c3_1(a600)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a600) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a600) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_78,negated_conjecture,
    ( c2_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f176]) ).

tcf(c_79,negated_conjecture,
    ( c3_1(a602)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_80,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a602) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_82,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_83,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a603) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_84,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a603) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_86,negated_conjecture,
    ( c1_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_87,negated_conjecture,
    ( c2_1(a604)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a604) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_91,negated_conjecture,
    ( c2_1(a605)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a605) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_94,negated_conjecture,
    ( c1_1(a608)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_95,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a608) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_96,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a608) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_98,negated_conjecture,
    ( c2_1(a609)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a609) ),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a609) ),
    inference(cnf_transformation,[],[f154]) ).

tcf(c_102,negated_conjecture,
    ( c1_1(a614)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f152]) ).

tcf(c_103,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a614) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a614) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_106,negated_conjecture,
    ( c0_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_107,negated_conjecture,
    ( c2_1(a615)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_108,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a615) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_110,negated_conjecture,
    ( c0_1(a619)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a619) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a619) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_114,negated_conjecture,
    ( c1_1(a620)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a620) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a620) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_118,negated_conjecture,
    ( c0_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_119,negated_conjecture,
    ( c1_1(a624)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f135]) ).

tcf(c_120,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a624) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_122,negated_conjecture,
    ( c3_1(a625)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_123,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a625) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_124,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a625) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_126,negated_conjecture,
    ( c0_1(a627)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a627) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a627) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_130,negated_conjecture,
    ( c0_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_131,negated_conjecture,
    ( c3_1(a630)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_132,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a630) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_134,negated_conjecture,
    ( c0_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_135,negated_conjecture,
    ( c3_1(a631)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_136,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a631) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_138,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a644) ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_139,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a644) ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_140,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a644) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_142,negated_conjecture,
    ( c3_1(a645)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_143,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a645) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_144,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a645) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_147,negated_conjecture,
    ( c3_1(a651)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_148,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a651) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_150,negated_conjecture,
    ( c1_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_151,negated_conjecture,
    ( c3_1(a656)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_152,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a656) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_153,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_154,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a667) ),
    inference(cnf_transformation,[],[f100]) ).

tcf(c_155,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a667) ),
    inference(cnf_transformation,[],[f99]) ).

tcf(c_156,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a667) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_158,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a690) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_159,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a690) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_160,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a690) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_162,negated_conjecture,
    ( c1_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_163,negated_conjecture,
    ( c2_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_164,negated_conjecture,
    ( c3_1(a595)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_166,negated_conjecture,
    ( c0_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_167,negated_conjecture,
    ( c1_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_168,negated_conjecture,
    ( c3_1(a618)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_169,negated_conjecture,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_170,negated_conjecture,
    ( c0_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_171,negated_conjecture,
    ( c1_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_172,negated_conjecture,
    ( c2_1(a637)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f82]) ).

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

tcf(c_174,negated_conjecture,
    ( c0_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_175,negated_conjecture,
    ( c2_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_176,negated_conjecture,
    ( c3_1(a672)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f78]) ).

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

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f207]) ).

tcf(c_179,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f208]) ).

tcf(c_180,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f209]) ).

tcf(c_181,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f210]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f211]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f212]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_186,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f213]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f214]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f215]) ).

tcf(c_189,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp5
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f65]) ).

tcf(c_190,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f216]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f218]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f220]) ).

tcf(c_195,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f221]) ).

tcf(c_196,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f222]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f223]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f224]) ).

tcf(c_199,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f225]) ).

tcf(c_200,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f226]) ).

tcf(c_201,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp5
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f227]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f228]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f229]) ).

tcf(c_206,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp8
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_207,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f230]) ).

tcf(c_208,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f231]) ).

tcf(c_209,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp15
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_210,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_211,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f232]) ).

tcf(c_212,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp17
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f233]) ).

tcf(c_214,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp7
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_215,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f234]) ).

tcf(c_216,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f235]) ).

tcf(c_217,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f236]) ).

tcf(c_218,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f237]) ).

tcf(c_219,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp5
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_220,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_221,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f238]) ).

tcf(c_222,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X1)
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_223,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_224,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_225,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f241]) ).

tcf(c_226,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_227,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp4
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_228,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp22
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_229,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp6
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_230,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp5
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_231,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_234,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp4
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_235,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_236,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp0
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_237,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp16
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_238,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp2
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_239,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp5
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_240,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp3 ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_241,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp23 ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_242,negated_conjecture,
    ( hskp31
    | hskp24
    | hskp1 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_243,negated_conjecture,
    ( hskp21
    | hskp4
    | hskp1 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_244,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp2 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_245,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp9 ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_246,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp10 ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_247,negated_conjecture,
    ( hskp24
    | hskp9 ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_248,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_279,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_173,c_240,c_169,c_153,c_61]) ).

tcf(c_343,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp4
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_210,c_210,c_279]) ).

tcf(c_346,plain,
    ! [X0: $i] :
      ( hskp25
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_240,c_169,c_153,c_61,c_235]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_346]) ).

tcf(c_349,plain,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_233,c_240,c_169,c_153,c_61,c_233]) ).

tcf(c_350,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_349]) ).

tcf(c_352,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp19
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_223,c_240,c_169,c_153,c_61,c_223]) ).

tcf(c_355,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp7
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_240,c_169,c_153,c_61,c_214]) ).

tcf(c_358,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp17
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_212,c_240,c_169,c_153,c_61,c_212]) ).

tcf(c_361,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp7
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_240,c_169,c_153,c_61,c_202]) ).

tcf(c_364,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp5
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_201,c_240,c_169,c_153,c_61,c_201]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp5
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_189,c_240,c_169,c_153,c_61,c_189]) ).

tcf(c_370,negated_conjecture,
    ! [X0: $i] :
      ( hskp4
      | hskp3
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_240,c_169,c_153,c_61,c_185]) ).

tcf(c_373,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp2
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_240,c_169,c_153,c_61,c_184]) ).

tcf(c_376,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp0
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_236,c_240,c_169,c_153,c_61,c_236]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp0
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_376]) ).

tcf(c_379,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp4
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_240,c_169,c_153,c_61,c_234]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp4
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_379]) ).

tcf(c_382,plain,
    ! [X0: $i] :
      ( hskp10
      | hskp5
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_230,c_240,c_169,c_153,c_61,c_230]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp10
      | hskp5
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_382]) ).

tcf(c_385,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp6
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_229,c_240,c_169,c_153,c_61,c_229]) ).

tcf(c_386,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp6
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_385]) ).

tcf(c_388,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp22
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_228,c_240,c_169,c_153,c_61,c_228]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp22
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_388]) ).

tcf(c_391,plain,
    ! [X0: $i] :
      ( hskp22
      | hskp4
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_227,c_240,c_169,c_153,c_61,c_227]) ).

tcf(c_392,negated_conjecture,
    ! [X0: $i] :
      ( hskp22
      | hskp4
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_391]) ).

tcf(c_394,plain,
    ! [X0: $i] :
      ( hskp8
      | hskp4
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_226,c_240,c_169,c_153,c_61,c_226]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | hskp4
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_394]) ).

tcf(c_397,plain,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_240,c_169,c_153,c_61,c_220]) ).

tcf(c_398,negated_conjecture,
    ! [X0: $i] :
      ( hskp13
      | hskp12
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_397]) ).

tcf(c_400,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp5
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_219,c_240,c_169,c_153,c_61,c_219]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp5
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

tcf(c_403,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp15
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_209,c_240,c_169,c_153,c_61,c_209]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp15
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_403]) ).

tcf(c_406,plain,
    ! [X0: $i] :
      ( hskp14
      | hskp8
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_206,c_240,c_169,c_153,c_61,c_206]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | hskp8
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_409,plain,
    ! [X0: $i] :
      ( hskp18
      | hskp5
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_239,c_240,c_169,c_153,c_61,c_239]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i] :
      ( hskp18
      | hskp5
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_409]) ).

tcf(c_412,plain,
    ! [X0: $i] :
      ( hskp28
      | hskp2
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_238,c_240,c_169,c_153,c_61,c_238]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i] :
      ( hskp28
      | hskp2
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_412]) ).

tcf(c_415,plain,
    ! [X0: $i] :
      ( hskp29
      | hskp16
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_237,c_240,c_169,c_153,c_61,c_237]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i] :
      ( hskp29
      | hskp16
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_415]) ).

tcf(c_418,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_190,c_240,c_169,c_153,c_61,c_190]) ).

tcf(c_421,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_199,c_240,c_169,c_153,c_61,c_199]) ).

tcf(c_422,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_421]) ).

tcf(c_423,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_240,c_169,c_153,c_61,c_193]) ).

tcf(c_424,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_423]) ).

tcf(c_425,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_180,c_240,c_169,c_153,c_61,c_180]) ).

tcf(c_426,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_425]) ).

tcf(c_427,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_221,c_240,c_169,c_153,c_61,c_221]) ).

tcf(c_428,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c3_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_427]) ).

tcf(c_430,plain,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_216,c_240,c_169,c_153,c_61,c_216]) ).

tcf(c_431,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp20
      | c1_1(X0)
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_430]) ).

tcf(c_432,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_211,c_240,c_169,c_153,c_61,c_211]) ).

tcf(c_433,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_432]) ).

tcf(c_435,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_200,c_240,c_169,c_153,c_61,c_200]) ).

tcf(c_436,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_435]) ).

tcf(c_437,plain,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_240,c_169,c_153,c_61,c_198]) ).

tcf(c_438,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_439,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_240,c_169,c_153,c_61,c_197]) ).

tcf(c_440,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X0)
      | c3_1(X1)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_439]) ).

tcf(c_441,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c3_1(X1)
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_240,c_169,c_153,c_61,c_192]) ).

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

tcf(c_443,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_240,c_169,c_153,c_61,c_183]) ).

tcf(c_444,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c1_1(X1)
      | c1_1(X0)
      | c0_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_443]) ).

tcf(c_445,plain,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_222,c_240,c_169,c_153,c_61,c_222]) ).

tcf(c_446,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp30
      | c3_1(X1)
      | c2_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_445]) ).

tcf(c_447,plain,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_218,c_240,c_169,c_153,c_61,c_218]) ).

tcf(c_448,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp21
      | c1_1(X0)
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_447]) ).

tcf(c_449,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_215,c_240,c_169,c_153,c_61,c_215]) ).

tcf(c_450,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c1_1(X0)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_213,c_240,c_169,c_153,c_61,c_213]) ).

tcf(c_452,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c1_1(X0)
      | c3_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_240,c_169,c_153,c_61,c_204]) ).

tcf(c_454,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c0_1(X0)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_455,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_196,c_240,c_169,c_153,c_61,c_196]) ).

tcf(c_456,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_455]) ).

tcf(c_457,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_195,c_240,c_169,c_153,c_61,c_195]) ).

tcf(c_458,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c0_1(X1)
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_457]) ).

tcf(c_459,plain,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_232,c_240,c_169,c_153,c_61,c_232]) ).

tcf(c_460,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp17
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_461,plain,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_231,c_240,c_169,c_153,c_61,c_231]) ).

tcf(c_462,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp24
      | c3_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_461]) ).

tcf(c_463,plain,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_225,c_240,c_169,c_153,c_61,c_225]) ).

tcf(c_464,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp18
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_463]) ).

tcf(c_465,plain,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_240,c_169,c_153,c_61,c_208]) ).

tcf(c_466,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp29
      | c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_465]) ).

tcf(c_467,plain,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_240,c_169,c_153,c_61,c_205]) ).

tcf(c_468,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp14
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_467]) ).

tcf(c_469,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X0)
      | c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X1)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_177,c_240,c_169,c_153,c_61,c_177]) ).

tcf(c_472,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_186,c_240,c_169,c_153,c_61,c_186]) ).

tcf(c_473,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_472]) ).

tcf(c_474,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_179,c_240,c_169,c_153,c_61,c_179]) ).

tcf(c_475,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_474]) ).

tcf(c_476,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_240,c_169,c_153,c_61,c_178]) ).

tcf(c_477,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_476]) ).

tcf(c_478,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_240,c_169,c_153,c_61,c_191]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c3_1(X1)
      | c0_1(X2)
      | c2_1(X2)
      | c2_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_478]) ).

tcf(c_480,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_240,c_169,c_153,c_61,c_187]) ).

tcf(c_481,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_480]) ).

tcf(c_482,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_240,c_169,c_153,c_61,c_182]) ).

tcf(c_483,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c1_1(X1)
      | c3_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_482]) ).

tcf(c_484,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_217,c_240,c_169,c_153,c_61,c_217]) ).

tcf(c_485,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_484]) ).

tcf(c_486,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_240,c_169,c_153,c_61,c_194]) ).

tcf(c_487,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_486]) ).

tcf(c_488,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_240,c_169,c_153,c_61,c_188]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X0)
      | c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_490,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_181,c_240,c_169,c_153,c_61,c_181]) ).

tcf(c_491,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | c2_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_490]) ).

tcf(c_492,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_207,c_240,c_169,c_153,c_61,c_207]) ).

tcf(c_493,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c0_1(X0)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_492]) ).

tcf(c_494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_224,c_240,c_169,c_153,c_61,c_224]) ).

tcf(c_495,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_494]) ).

tcf(c_496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_240,c_169,c_153,c_61,c_203]) ).

tcf(c_497,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c0_1(X2)
      | c0_1(X0)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_496]) ).

tcf(c_1726,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X2)
      | c2_1(X2)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_493,c_495]) ).

tcf(c_1769,plain,
    ( hskp30
    | hskp3
    | ~ c3_1(a667) ),
    inference(resolution,[status(thm)],[c_240,c_156]) ).

tcf(c_1779,plain,
    ( hskp30
    | hskp3
    | ~ c1_1(a667) ),
    inference(resolution,[status(thm)],[c_240,c_155]) ).

tcf(c_1789,plain,
    ( hskp30
    | hskp3
    | ~ c0_1(a667) ),
    inference(resolution,[status(thm)],[c_240,c_154]) ).

tcf(c_1808,plain,
    ( hskp13
    | hskp3
    | ~ c3_1(a690) ),
    inference(resolution,[status(thm)],[c_248,c_160]) ).

tcf(c_1818,plain,
    ( hskp13
    | hskp3
    | ~ c2_1(a690) ),
    inference(resolution,[status(thm)],[c_248,c_159]) ).

tcf(c_1828,plain,
    ( hskp13
    | hskp3
    | ~ c1_1(a690) ),
    inference(resolution,[status(thm)],[c_248,c_158]) ).

tcf(c_1847,plain,
    ( hskp24
    | hskp1
    | c3_1(a672) ),
    inference(resolution,[status(thm)],[c_242,c_176]) ).

tcf(c_1857,plain,
    ( hskp24
    | hskp1
    | c2_1(a672) ),
    inference(resolution,[status(thm)],[c_242,c_175]) ).

tcf(c_1867,plain,
    ( hskp24
    | hskp1
    | c0_1(a672) ),
    inference(resolution,[status(thm)],[c_242,c_174]) ).

tcf(c_16145,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1726]) ).

tcf(c_16146,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1726]) ).

tcf(c_16147,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1726]) ).

tcf(c_16148,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1726]) ).

tcf(c_16149,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_497]) ).

tcf(c_16150,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_497]) ).

tcf(c_16151,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_497]) ).

tcf(c_16152,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_497]) ).

tcf(c_16153,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_491]) ).

tcf(c_16154,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_491]) ).

tcf(c_16155,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_491]) ).

tcf(c_16156,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_489]) ).

tcf(c_16157,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_489]) ).

tcf(c_16158,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_20
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_20])],[c_489]) ).

tcf(c_16159,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_489]) ).

tcf(c_16160,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_487]) ).

tcf(c_16161,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_487]) ).

tcf(c_16162,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_487]) ).

tcf(c_16163,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).

tcf(c_16164,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_485]) ).

tcf(c_16165,negated_conjecture,
    ( iPr_def_24
    | iPr_def_17
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_485]) ).

tcf(c_16166,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_483]) ).

tcf(c_16167,negated_conjecture,
    ( iPr_def_25
    | iPr_def_21
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_483]) ).

tcf(c_16168,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_481]) ).

tcf(c_16169,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_481]) ).

tcf(c_16170,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_481]) ).

tcf(c_16171,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_479]) ).

tcf(c_16172,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_479]) ).

tcf(c_16173,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_479]) ).

tcf(c_16174,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_477]) ).

tcf(c_16175,negated_conjecture,
    ( iPr_def_30
    | iPr_def_19
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_477]) ).

tcf(c_16176,negated_conjecture,
    ( iPr_def_28
    | iPr_def_18
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_475]) ).

tcf(c_16177,negated_conjecture,
    ( iPr_def_29
    | iPr_def_20
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_473]) ).

tcf(c_16178,negated_conjecture,
    ( iPr_def_29
    | iPr_def_25
    | iPr_def_16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_469]) ).

tcf(c_16179,negated_conjecture,
    ( iPr_def_14
    | iPr_def_10
    | hskp14 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_468]) ).

tcf(c_16180,negated_conjecture,
    ( iPr_def_20
    | iPr_def_10
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_466]) ).

tcf(c_16181,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_464]) ).

tcf(c_16182,negated_conjecture,
    ( iPr_def_31
    | iPr_def_10
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_464]) ).

tcf(c_16183,negated_conjecture,
    ( iPr_def_27
    | iPr_def_21
    | hskp24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_462]) ).

tcf(c_16184,negated_conjecture,
    ( iPr_def_27
    | iPr_def_13
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_460]) ).

tcf(c_16185,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_458]) ).

tcf(c_16186,negated_conjecture,
    ( iPr_def_22
    | iPr_def_13
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_456]) ).

tcf(c_16187,negated_conjecture,
    ( iPr_def_18
    | iPr_def_15
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_454]) ).

tcf(c_16188,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_452]) ).

tcf(c_16189,negated_conjecture,
    ( iPr_def_32
    | iPr_def_23
    | hskp18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_452]) ).

tcf(c_16190,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_450]) ).

tcf(c_16191,negated_conjecture,
    ( iPr_def_33
    | iPr_def_31
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_450]) ).

tcf(c_16192,negated_conjecture,
    ( iPr_def_27
    | iPr_def_24
    | hskp21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_448]) ).

tcf(c_16193,negated_conjecture,
    ( iPr_def_28
    | iPr_def_21
    | hskp30 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_446]) ).

tcf(c_16194,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_444]) ).

tcf(c_16195,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_444]) ).

tcf(c_16196,negated_conjecture,
    ( iPr_def_29
    | iPr_def_10
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_442]) ).

tcf(c_16197,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_440]) ).

tcf(c_16198,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_438]) ).

tcf(c_16199,negated_conjecture,
    ( iPr_def_35
    | iPr_def_26
    | hskp28 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_438]) ).

tcf(c_16200,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c2_1(X0)
      | c0_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_436]) ).

tcf(c_16201,negated_conjecture,
    ( iPr_def_36
    | iPr_def_35
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_436]) ).

tcf(c_16202,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_433]) ).

tcf(c_16203,negated_conjecture,
    ( iPr_def_37
    | iPr_def_18
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_433]) ).

tcf(c_16204,negated_conjecture,
    ( iPr_def_28
    | iPr_def_24
    | hskp20 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_431]) ).

tcf(c_16205,negated_conjecture,
    ( iPr_def_31
    | iPr_def_28
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_428]) ).

tcf(c_16206,negated_conjecture,
    ( iPr_def_30
    | iPr_def_16
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_426]) ).

tcf(c_16207,negated_conjecture,
    ( iPr_def_37
    | iPr_def_22
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_424]) ).

tcf(c_16208,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_422]) ).

tcf(c_16209,negated_conjecture,
    ( iPr_def_38
    | iPr_def_36
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_422]) ).

tcf(c_16210,negated_conjecture,
    ( iPr_def_29
    | iPr_def_26
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_418]) ).

tcf(c_16211,negated_conjecture,
    ( iPr_def_10
    | hskp29
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_416]) ).

tcf(c_16212,negated_conjecture,
    ( iPr_def_21
    | hskp28
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

tcf(c_16213,negated_conjecture,
    ( iPr_def_13
    | hskp18
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_410]) ).

tcf(c_16214,negated_conjecture,
    ( iPr_def_14
    | hskp14
    | hskp8 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_407]) ).

tcf(c_16215,negated_conjecture,
    ( iPr_def_20
    | hskp16
    | hskp15 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_404]) ).

tcf(c_16216,negated_conjecture,
    ( iPr_def_24
    | hskp14
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_16217,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_39
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_39])],[c_398]) ).

tcf(c_16218,negated_conjecture,
    ( iPr_def_39
    | hskp13
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_398]) ).

tcf(c_16219,negated_conjecture,
    ( iPr_def_31
    | hskp8
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_395]) ).

tcf(c_16220,negated_conjecture,
    ( iPr_def_31
    | hskp22
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_392]) ).

tcf(c_16221,negated_conjecture,
    ( iPr_def_18
    | hskp23
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_389]) ).

tcf(c_16222,negated_conjecture,
    ( iPr_def_35
    | hskp29
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_386]) ).

tcf(c_16223,negated_conjecture,
    ( iPr_def_35
    | hskp10
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_383]) ).

tcf(c_16224,negated_conjecture,
    ( iPr_def_30
    | hskp28
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

tcf(c_16225,negated_conjecture,
    ( iPr_def_17
    | hskp22
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_377]) ).

tcf(c_16226,negated_conjecture,
    ( iPr_def_34
    | hskp28
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_373]) ).

tcf(c_16227,negated_conjecture,
    ( iPr_def_34
    | hskp4
    | hskp3 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_370]) ).

tcf(c_16228,negated_conjecture,
    ( iPr_def_19
    | hskp6
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

tcf(c_16229,negated_conjecture,
    ( iPr_def_36
    | hskp10
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_364]) ).

tcf(c_16230,negated_conjecture,
    ( iPr_def_36
    | hskp28
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_361]) ).

tcf(c_16231,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_358]) ).

tcf(c_16232,negated_conjecture,
    ( iPr_def_40
    | hskp18
    | hskp17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_358]) ).

tcf(c_16233,negated_conjecture,
    ( iPr_def_23
    | hskp19
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_355]) ).

tcf(c_16234,negated_conjecture,
    ( iPr_def_28
    | hskp28
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_352]) ).

tcf(c_16235,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_41
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_41])],[c_343]) ).

tcf(c_16236,negated_conjecture,
    ( iPr_def_41
    | hskp14
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_343]) ).

tcf(c_16237,plain,
    ( hskp24
    | hskp1
    | c0_1(a672) ),
    inference(demodulation,[status(thm)],[c_1867]) ).

tcf(c_16238,plain,
    ( hskp24
    | hskp1
    | c2_1(a672) ),
    inference(demodulation,[status(thm)],[c_1857]) ).

tcf(c_16239,plain,
    ( hskp24
    | hskp1
    | c3_1(a672) ),
    inference(demodulation,[status(thm)],[c_1847]) ).

tcf(c_16240,plain,
    ( hskp13
    | hskp3
    | ~ c1_1(a690) ),
    inference(demodulation,[status(thm)],[c_1828]) ).

tcf(c_16241,plain,
    ( hskp13
    | hskp3
    | ~ c2_1(a690) ),
    inference(demodulation,[status(thm)],[c_1818]) ).

tcf(c_16242,plain,
    ( hskp13
    | hskp3
    | ~ c3_1(a690) ),
    inference(demodulation,[status(thm)],[c_1808]) ).

tcf(c_16243,plain,
    ( hskp30
    | hskp3
    | ~ c0_1(a667) ),
    inference(demodulation,[status(thm)],[c_1789]) ).

tcf(c_16244,plain,
    ( hskp30
    | hskp3
    | ~ c1_1(a667) ),
    inference(demodulation,[status(thm)],[c_1779]) ).

tcf(c_16245,plain,
    ( hskp30
    | hskp3
    | ~ c3_1(a667) ),
    inference(demodulation,[status(thm)],[c_1769]) ).

tcf(c_16246,plain,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_16148]) ).

tcf(c_16247,plain,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16147]) ).

tcf(c_16250,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_16152]) ).

tcf(c_16254,negated_conjecture,
    ( iPr_def_17
    | iPr_def_16
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_16155]) ).

tcf(c_16258,negated_conjecture,
    ( iPr_def_20
    | iPr_def_19
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_16159]) ).

tcf(c_16262,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(demodulation,[status(thm)],[c_16163]) ).

tcf(c_16266,negated_conjecture,
    ( iPr_def_24
    | iPr_def_17
    | iPr_def_11 ),
    inference(demodulation,[status(thm)],[c_16165]) ).

tcf(c_16269,plain,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_11
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16146]) ).

tcf(c_16270,negated_conjecture,
    ( iPr_def_25
    | iPr_def_21
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_16167]) ).

tcf(c_16274,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_16170]) ).

tcf(c_16278,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_16173]) ).

tcf(c_16282,negated_conjecture,
    ( iPr_def_30
    | iPr_def_19
    | iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_16175]) ).

tcf(c_16286,negated_conjecture,
    ( iPr_def_28
    | iPr_def_18
    | iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_16176]) ).

tcf(c_16290,negated_conjecture,
    ( iPr_def_29
    | iPr_def_20
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_16177]) ).

tcf(c_16294,negated_conjecture,
    ( iPr_def_29
    | iPr_def_25
    | iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_16178]) ).

tcf(c_16296,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_25 ),
    inference(demodulation,[status(thm)],[c_16166]) ).

tcf(c_16298,negated_conjecture,
    ( iPr_def_14
    | iPr_def_10
    | hskp14 ),
    inference(demodulation,[status(thm)],[c_16179]) ).

tcf(c_16301,negated_conjecture,
    ( iPr_def_20
    | iPr_def_10
    | hskp29 ),
    inference(demodulation,[status(thm)],[c_16180]) ).

tcf(c_16304,negated_conjecture,
    ( iPr_def_31
    | iPr_def_10
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_16182]) ).

tcf(c_16307,negated_conjecture,
    ( iPr_def_27
    | iPr_def_21
    | hskp24 ),
    inference(demodulation,[status(thm)],[c_16183]) ).

tcf(c_16310,negated_conjecture,
    ( iPr_def_27
    | iPr_def_13
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_16184]) ).

tcf(c_16313,negated_conjecture,
    ( iPr_def_22
    | iPr_def_21
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_16185]) ).

tcf(c_16316,negated_conjecture,
    ( iPr_def_22
    | iPr_def_13
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_16186]) ).

tcf(c_16319,negated_conjecture,
    ( iPr_def_18
    | iPr_def_15
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_16187]) ).

tcf(c_16320,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_15
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16151]) ).

tcf(c_16322,negated_conjecture,
    ( iPr_def_32
    | iPr_def_23
    | hskp18 ),
    inference(demodulation,[status(thm)],[c_16189]) ).

tcf(c_16324,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16188]) ).

tcf(c_16325,negated_conjecture,
    ( iPr_def_33
    | iPr_def_31
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_16191]) ).

tcf(c_16326,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_33
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16190]) ).

tcf(c_16328,negated_conjecture,
    ( iPr_def_27
    | iPr_def_24
    | hskp21 ),
    inference(demodulation,[status(thm)],[c_16192]) ).

tcf(c_16330,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_27
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16169]) ).

tcf(c_16331,negated_conjecture,
    ( iPr_def_28
    | iPr_def_21
    | hskp30 ),
    inference(demodulation,[status(thm)],[c_16193]) ).

tcf(c_16334,negated_conjecture,
    ( iPr_def_34
    | iPr_def_24
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16195]) ).

tcf(c_16337,negated_conjecture,
    ( iPr_def_29
    | iPr_def_10
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_16196]) ).

tcf(c_16340,negated_conjecture,
    ( iPr_def_26
    | iPr_def_24
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_16197]) ).

tcf(c_16343,negated_conjecture,
    ( iPr_def_35
    | iPr_def_26
    | hskp28 ),
    inference(demodulation,[status(thm)],[c_16199]) ).

tcf(c_16346,negated_conjecture,
    ( iPr_def_36
    | iPr_def_35
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_16201]) ).

tcf(c_16349,negated_conjecture,
    ( iPr_def_37
    | iPr_def_18
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_16203]) ).

tcf(c_16352,negated_conjecture,
    ( iPr_def_28
    | iPr_def_24
    | hskp20 ),
    inference(demodulation,[status(thm)],[c_16204]) ).

tcf(c_16355,negated_conjecture,
    ( iPr_def_31
    | iPr_def_28
    | hskp29 ),
    inference(demodulation,[status(thm)],[c_16205]) ).

tcf(c_16358,negated_conjecture,
    ( iPr_def_30
    | iPr_def_16
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_16206]) ).

tcf(c_16360,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_16 ),
    inference(demodulation,[status(thm)],[c_16153]) ).

tcf(c_16361,negated_conjecture,
    ( iPr_def_37
    | iPr_def_22
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_16207]) ).

tcf(c_16362,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ iPr_def_37
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16202]) ).

tcf(c_16363,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_22
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16161]) ).

tcf(c_16364,negated_conjecture,
    ( iPr_def_38
    | iPr_def_36
    | hskp11 ),
    inference(demodulation,[status(thm)],[c_16209]) ).

tcf(c_16366,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_38
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16208]) ).

tcf(c_16367,negated_conjecture,
    ( iPr_def_29
    | iPr_def_26
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_16210]) ).

tcf(c_16368,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_26
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_16168]) ).

tcf(c_16369,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ iPr_def_29 ),
    inference(demodulation,[status(thm)],[c_16172]) ).

tcf(c_16370,negated_conjecture,
    ( iPr_def_10
    | hskp29
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_16211]) ).

tcf(c_16371,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16145]) ).

tcf(c_16372,negated_conjecture,
    ( iPr_def_21
    | hskp28
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_16212]) ).

tcf(c_16373,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16160]) ).

tcf(c_16374,negated_conjecture,
    ( iPr_def_13
    | hskp18
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_16213]) ).

tcf(c_16375,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16149]) ).

tcf(c_16376,negated_conjecture,
    ( iPr_def_14
    | hskp14
    | hskp8 ),
    inference(demodulation,[status(thm)],[c_16214]) ).

tcf(c_16377,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_14
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16150]) ).

tcf(c_16378,negated_conjecture,
    ( iPr_def_20
    | hskp16
    | hskp15 ),
    inference(demodulation,[status(thm)],[c_16215]) ).

tcf(c_16379,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_20
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16158]) ).

tcf(c_16380,negated_conjecture,
    ( iPr_def_24
    | hskp14
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_16216]) ).

tcf(c_16381,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_24
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16164]) ).

tcf(c_16382,negated_conjecture,
    ( iPr_def_39
    | hskp13
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_16218]) ).

tcf(c_16383,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_39
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16217]) ).

tcf(c_16384,negated_conjecture,
    ( iPr_def_31
    | hskp8
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16219]) ).

tcf(c_16386,negated_conjecture,
    ( iPr_def_31
    | hskp22
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16220]) ).

tcf(c_16387,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_31
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16181]) ).

tcf(c_16388,negated_conjecture,
    ( iPr_def_18
    | hskp23
    | hskp22 ),
    inference(demodulation,[status(thm)],[c_16221]) ).

tcf(c_16389,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_18
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16156]) ).

tcf(c_16390,negated_conjecture,
    ( iPr_def_35
    | hskp29
    | hskp6 ),
    inference(demodulation,[status(thm)],[c_16222]) ).

tcf(c_16392,negated_conjecture,
    ( iPr_def_35
    | hskp10
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_16223]) ).

tcf(c_16393,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_35
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16198]) ).

tcf(c_16394,negated_conjecture,
    ( iPr_def_30
    | hskp28
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16224]) ).

tcf(c_16395,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_30
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16174]) ).

tcf(c_16396,negated_conjecture,
    ( iPr_def_17
    | hskp22
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_16225]) ).

tcf(c_16397,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_17
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16154]) ).

tcf(c_16398,negated_conjecture,
    ( iPr_def_34
    | hskp28
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_16226]) ).

tcf(c_16400,negated_conjecture,
    ( iPr_def_34
    | hskp4
    | hskp3 ),
    inference(demodulation,[status(thm)],[c_16227]) ).

tcf(c_16401,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_34
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16194]) ).

tcf(c_16402,negated_conjecture,
    ( iPr_def_19
    | hskp6
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_16228]) ).

tcf(c_16403,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_19
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16157]) ).

tcf(c_16404,negated_conjecture,
    ( iPr_def_36
    | hskp10
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_16229]) ).

tcf(c_16406,negated_conjecture,
    ( iPr_def_36
    | hskp28
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_16230]) ).

tcf(c_16407,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_36
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16200]) ).

tcf(c_16408,negated_conjecture,
    ( iPr_def_40
    | hskp18
    | hskp17 ),
    inference(demodulation,[status(thm)],[c_16232]) ).

tcf(c_16409,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c2_1(X0)
      | ~ iPr_def_40
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_16231]) ).

tcf(c_16410,negated_conjecture,
    ( iPr_def_23
    | hskp19
    | hskp7 ),
    inference(demodulation,[status(thm)],[c_16233]) ).

tcf(c_16411,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | ~ iPr_def_23
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_16162]) ).

tcf(c_16412,negated_conjecture,
    ( iPr_def_28
    | hskp28
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_16234]) ).

tcf(c_16413,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_28
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_16171]) ).

tcf(c_16414,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_350]) ).

tcf(c_16415,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_347]) ).

tcf(c_16416,negated_conjecture,
    ( iPr_def_41
    | hskp14
    | hskp4 ),
    inference(demodulation,[status(thm)],[c_16236]) ).

tcf(c_16417,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c3_1(X0)
      | c2_1(X0)
      | ~ iPr_def_41 ),
    inference(demodulation,[status(thm)],[c_16235]) ).

tcf(c_16418,negated_conjecture,
    ( hskp24
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_247]) ).

tcf(c_16419,negated_conjecture,
    ( hskp18
    | hskp12
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_246]) ).

tcf(c_16420,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_245]) ).

tcf(c_16421,negated_conjecture,
    ( hskp28
    | hskp10
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_244]) ).

tcf(c_16422,negated_conjecture,
    ( hskp21
    | hskp4
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_243]) ).

tcf(c_16423,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp23 ),
    inference(demodulation,[status(thm)],[c_241]) ).

tcf(c_16424,negated_conjecture,
    ( c2_1(a637)
    | ~ hskp30 ),
    inference(demodulation,[status(thm)],[c_172]) ).

tcf(c_16425,negated_conjecture,
    ( c1_1(a637)
    | ~ hskp30 ),
    inference(demodulation,[status(thm)],[c_171]) ).

tcf(c_16426,negated_conjecture,
    ( c0_1(a637)
    | ~ hskp30 ),
    inference(demodulation,[status(thm)],[c_170]) ).

tcf(c_16427,negated_conjecture,
    ( c3_1(a618)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_168]) ).

tcf(c_16428,negated_conjecture,
    ( c1_1(a618)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_167]) ).

tcf(c_16429,negated_conjecture,
    ( c0_1(a618)
    | ~ hskp29 ),
    inference(demodulation,[status(thm)],[c_166]) ).

tcf(c_16430,negated_conjecture,
    ( c3_1(a595)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_164]) ).

tcf(c_16431,negated_conjecture,
    ( c2_1(a595)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_163]) ).

tcf(c_16432,negated_conjecture,
    ( c1_1(a595)
    | ~ hskp28 ),
    inference(demodulation,[status(thm)],[c_162]) ).

tcf(c_16433,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a656) ),
    inference(demodulation,[status(thm)],[c_152]) ).

tcf(c_16434,negated_conjecture,
    ( c3_1(a656)
    | ~ hskp25 ),
    inference(demodulation,[status(thm)],[c_151]) ).

tcf(c_16435,negated_conjecture,
    ( c1_1(a656)
    | ~ hskp25 ),
    inference(demodulation,[status(thm)],[c_150]) ).

tcf(c_16436,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a651) ),
    inference(demodulation,[status(thm)],[c_148]) ).

tcf(c_16437,negated_conjecture,
    ( c3_1(a651)
    | ~ hskp24 ),
    inference(demodulation,[status(thm)],[c_147]) ).

tcf(c_16438,negated_conjecture,
    ( c1_1(a651)
    | ~ hskp24 ),
    inference(demodulation,[status(thm)],[c_146]) ).

tcf(c_16439,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a645) ),
    inference(demodulation,[status(thm)],[c_144]) ).

tcf(c_16440,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a645) ),
    inference(demodulation,[status(thm)],[c_143]) ).

tcf(c_16441,negated_conjecture,
    ( c3_1(a645)
    | ~ hskp23 ),
    inference(demodulation,[status(thm)],[c_142]) ).

tcf(c_16442,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a644) ),
    inference(demodulation,[status(thm)],[c_140]) ).

tcf(c_16443,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a644) ),
    inference(demodulation,[status(thm)],[c_139]) ).

tcf(c_16444,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a644) ),
    inference(demodulation,[status(thm)],[c_138]) ).

tcf(c_16445,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a631) ),
    inference(demodulation,[status(thm)],[c_136]) ).

tcf(c_16446,negated_conjecture,
    ( c3_1(a631)
    | ~ hskp21 ),
    inference(demodulation,[status(thm)],[c_135]) ).

tcf(c_16447,negated_conjecture,
    ( c0_1(a631)
    | ~ hskp21 ),
    inference(demodulation,[status(thm)],[c_134]) ).

tcf(c_16448,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a630) ),
    inference(demodulation,[status(thm)],[c_132]) ).

tcf(c_16449,negated_conjecture,
    ( c3_1(a630)
    | ~ hskp20 ),
    inference(demodulation,[status(thm)],[c_131]) ).

tcf(c_16450,negated_conjecture,
    ( c0_1(a630)
    | ~ hskp20 ),
    inference(demodulation,[status(thm)],[c_130]) ).

tcf(c_16451,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a627) ),
    inference(demodulation,[status(thm)],[c_128]) ).

tcf(c_16452,negated_conjecture,
    ( ~ hskp19
    | ~ c2_1(a627) ),
    inference(demodulation,[status(thm)],[c_127]) ).

tcf(c_16453,negated_conjecture,
    ( c0_1(a627)
    | ~ hskp19 ),
    inference(demodulation,[status(thm)],[c_126]) ).

tcf(c_16454,negated_conjecture,
    ( ~ hskp18
    | ~ c1_1(a625) ),
    inference(demodulation,[status(thm)],[c_124]) ).

tcf(c_16455,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a625) ),
    inference(demodulation,[status(thm)],[c_123]) ).

tcf(c_16456,negated_conjecture,
    ( c3_1(a625)
    | ~ hskp18 ),
    inference(demodulation,[status(thm)],[c_122]) ).

tcf(c_16457,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a624) ),
    inference(demodulation,[status(thm)],[c_120]) ).

tcf(c_16458,negated_conjecture,
    ( c1_1(a624)
    | ~ hskp17 ),
    inference(demodulation,[status(thm)],[c_119]) ).

tcf(c_16459,negated_conjecture,
    ( c0_1(a624)
    | ~ hskp17 ),
    inference(demodulation,[status(thm)],[c_118]) ).

tcf(c_16460,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a620) ),
    inference(demodulation,[status(thm)],[c_116]) ).

tcf(c_16461,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a620) ),
    inference(demodulation,[status(thm)],[c_115]) ).

tcf(c_16462,negated_conjecture,
    ( c1_1(a620)
    | ~ hskp16 ),
    inference(demodulation,[status(thm)],[c_114]) ).

tcf(c_16463,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a619) ),
    inference(demodulation,[status(thm)],[c_112]) ).

tcf(c_16464,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a619) ),
    inference(demodulation,[status(thm)],[c_111]) ).

tcf(c_16465,negated_conjecture,
    ( c0_1(a619)
    | ~ hskp15 ),
    inference(demodulation,[status(thm)],[c_110]) ).

tcf(c_16466,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a615) ),
    inference(demodulation,[status(thm)],[c_108]) ).

tcf(c_16467,negated_conjecture,
    ( c2_1(a615)
    | ~ hskp14 ),
    inference(demodulation,[status(thm)],[c_107]) ).

tcf(c_16468,negated_conjecture,
    ( c0_1(a615)
    | ~ hskp14 ),
    inference(demodulation,[status(thm)],[c_106]) ).

tcf(c_16469,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a614) ),
    inference(demodulation,[status(thm)],[c_104]) ).

tcf(c_16470,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a614) ),
    inference(demodulation,[status(thm)],[c_103]) ).

tcf(c_16471,negated_conjecture,
    ( c1_1(a614)
    | ~ hskp13 ),
    inference(demodulation,[status(thm)],[c_102]) ).

tcf(c_16472,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a609) ),
    inference(demodulation,[status(thm)],[c_100]) ).

tcf(c_16473,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a609) ),
    inference(demodulation,[status(thm)],[c_99]) ).

tcf(c_16474,negated_conjecture,
    ( c2_1(a609)
    | ~ hskp12 ),
    inference(demodulation,[status(thm)],[c_98]) ).

tcf(c_16475,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a608) ),
    inference(demodulation,[status(thm)],[c_96]) ).

tcf(c_16476,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a608) ),
    inference(demodulation,[status(thm)],[c_95]) ).

tcf(c_16477,negated_conjecture,
    ( c1_1(a608)
    | ~ hskp11 ),
    inference(demodulation,[status(thm)],[c_94]) ).

tcf(c_16478,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a605) ),
    inference(demodulation,[status(thm)],[c_92]) ).

tcf(c_16479,negated_conjecture,
    ( c2_1(a605)
    | ~ hskp10 ),
    inference(demodulation,[status(thm)],[c_91]) ).

tcf(c_16480,negated_conjecture,
    ( c0_1(a605)
    | ~ hskp10 ),
    inference(demodulation,[status(thm)],[c_90]) ).

tcf(c_16481,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a604) ),
    inference(demodulation,[status(thm)],[c_88]) ).

tcf(c_16482,negated_conjecture,
    ( c2_1(a604)
    | ~ hskp9 ),
    inference(demodulation,[status(thm)],[c_87]) ).

tcf(c_16483,negated_conjecture,
    ( c1_1(a604)
    | ~ hskp9 ),
    inference(demodulation,[status(thm)],[c_86]) ).

tcf(c_16484,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a603) ),
    inference(demodulation,[status(thm)],[c_84]) ).

tcf(c_16485,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a603) ),
    inference(demodulation,[status(thm)],[c_83]) ).

tcf(c_16486,negated_conjecture,
    ( c0_1(a603)
    | ~ hskp8 ),
    inference(demodulation,[status(thm)],[c_82]) ).

tcf(c_16487,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a602) ),
    inference(demodulation,[status(thm)],[c_80]) ).

tcf(c_16488,negated_conjecture,
    ( c3_1(a602)
    | ~ hskp7 ),
    inference(demodulation,[status(thm)],[c_79]) ).

tcf(c_16489,negated_conjecture,
    ( c2_1(a602)
    | ~ hskp7 ),
    inference(demodulation,[status(thm)],[c_78]) ).

tcf(c_16490,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a600) ),
    inference(demodulation,[status(thm)],[c_76]) ).

tcf(c_16491,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a600) ),
    inference(demodulation,[status(thm)],[c_75]) ).

tcf(c_16492,negated_conjecture,
    ( c3_1(a600)
    | ~ hskp6 ),
    inference(demodulation,[status(thm)],[c_74]) ).

tcf(c_16493,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a599) ),
    inference(demodulation,[status(thm)],[c_72]) ).

tcf(c_16494,negated_conjecture,
    ( c3_1(a599)
    | ~ hskp5 ),
    inference(demodulation,[status(thm)],[c_71]) ).

tcf(c_16495,negated_conjecture,
    ( c2_1(a599)
    | ~ hskp5 ),
    inference(demodulation,[status(thm)],[c_70]) ).

tcf(c_16496,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a598) ),
    inference(demodulation,[status(thm)],[c_68]) ).

tcf(c_16497,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a598) ),
    inference(demodulation,[status(thm)],[c_67]) ).

tcf(c_16498,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a598) ),
    inference(demodulation,[status(thm)],[c_66]) ).

tcf(c_16499,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a597) ),
    inference(demodulation,[status(thm)],[c_64]) ).

tcf(c_16500,negated_conjecture,
    ( c2_1(a597)
    | ~ hskp3 ),
    inference(demodulation,[status(thm)],[c_63]) ).

tcf(c_16501,negated_conjecture,
    ( c1_1(a597)
    | ~ hskp3 ),
    inference(demodulation,[status(thm)],[c_62]) ).

tcf(c_16502,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a596) ),
    inference(demodulation,[status(thm)],[c_60]) ).

tcf(c_16503,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a596) ),
    inference(demodulation,[status(thm)],[c_59]) ).

tcf(c_16504,negated_conjecture,
    ( c2_1(a596)
    | ~ hskp2 ),
    inference(demodulation,[status(thm)],[c_58]) ).

tcf(c_16505,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a594) ),
    inference(demodulation,[status(thm)],[c_56]) ).

tcf(c_16506,negated_conjecture,
    ( c1_1(a594)
    | ~ hskp1 ),
    inference(demodulation,[status(thm)],[c_55]) ).

tcf(c_16507,negated_conjecture,
    ( c0_1(a594)
    | ~ hskp1 ),
    inference(demodulation,[status(thm)],[c_54]) ).

tcf(c_16508,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a593) ),
    inference(demodulation,[status(thm)],[c_52]) ).

tcf(c_16509,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a593) ),
    inference(demodulation,[status(thm)],[c_51]) ).

tcf(c_16510,negated_conjecture,
    ( c2_1(a593)
    | ~ hskp0 ),
    inference(demodulation,[status(thm)],[c_50]) ).

tcf(c_17434,plain,
    $false,
    inference(smt_impl_just,[status(thm)],[c_16417,c_16409,c_16383,c_16366,c_16362,c_16407,c_16393,c_16401,c_16326,c_16324,c_16387,c_16395,c_16413,c_16369,c_16368,c_16330,c_16296,c_16381,c_16373,c_16363,c_16411,c_16389,c_16403,c_16379,c_16360,c_16397,c_16375,c_16377,c_16320,c_16371,c_16269,c_16247,c_16416,c_16412,c_16410,c_16408,c_16406,c_16404,c_16402,c_16400,c_16398,c_16396,c_16394,c_16392,c_16390,c_16388,c_16386,c_16384,c_16382,c_16380,c_16378,c_16376,c_16374,c_16372,c_16370,c_16367,c_16364,c_16361,c_16358,c_16355,c_16352,c_16349,c_16346,c_16343,c_16340,c_16337,c_16334,c_16331,c_16328,c_16325,c_16322,c_16319,c_16316,c_16313,c_16310,c_16307,c_16304,c_16301,c_16298,c_16294,c_16290,c_16286,c_16282,c_16278,c_16274,c_16270,c_16266,c_16262,c_16258,c_16254,c_16250,c_16246,c_16237,c_16238,c_16239,c_16240,c_16241,c_16242,c_16243,c_16244,c_16245,c_16414,c_16415,c_16418,c_16419,c_16420,c_16421,c_16422,c_16423,c_16424,c_16425,c_16426,c_16427,c_16428,c_16429,c_16430,c_16431,c_16432,c_16433,c_16434,c_16435,c_16436,c_16437,c_16438,c_16439,c_16440,c_16441,c_16442,c_16443,c_16444,c_16445,c_16446,c_16447,c_16448,c_16449,c_16450,c_16451,c_16452,c_16453,c_16454,c_16455,c_16456,c_16457,c_16458,c_16459,c_16460,c_16461,c_16462,c_16463,c_16464,c_16465,c_16466,c_16467,c_16468,c_16469,c_16470,c_16471,c_16472,c_16473,c_16474,c_16475,c_16476,c_16477,c_16478,c_16479,c_16480,c_16481,c_16482,c_16483,c_16484,c_16485,c_16486,c_16487,c_16488,c_16489,c_16490,c_16491,c_16492,c_16493,c_16494,c_16495,c_16496,c_16497,c_16498,c_16499,c_16500,c_16501,c_16502,c_16503,c_16504,c_16505,c_16506,c_16507,c_16508,c_16509,c_16510]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN471+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.03  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35  % Computer : n009.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Fri Sep 25 01:22:43 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 3.29/1.19  % SZS status Started for theBenchmark.p
% 3.29/1.19  % SZS status Theorem for theBenchmark.p
% 3.29/1.19  
% 3.29/1.19  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.29/1.19  
% 3.29/1.19  % ------  iProver source info
% 3.29/1.19  
% 3.29/1.19  % git: date: 2026-07-19 20:42:38 +0200
% 3.29/1.19  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.29/1.19  % git: non_committed_changes: false
% 3.29/1.19  
% 3.29/1.19  % ------ Parsing...
% 3.29/1.19  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.29/1.19  % 
% 3.29/1.19  
% 3.29/1.19  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.29/1.19  
% 3.29/1.19  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.29/1.19   gs_s  sp: 110 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.29/1.19  % ------ Proving...
% 3.29/1.19  % ------ Problem Properties 
% 3.29/1.19  
% 3.29/1.19  % 
% 3.29/1.19  % clauses                               196
% 3.29/1.19  % conjectures                           183
% 3.29/1.19  % EPR                                   196
% 3.29/1.19  % Horn                                  104
% 3.29/1.19  % unary                                 0
% 3.29/1.19  % binary                                88
% 3.29/1.19  % lits                                  533
% 3.29/1.19  % lits eq                               0
% 3.29/1.19  % fd_pure                               0
% 3.29/1.19  % fd_pseudo                             0
% 3.29/1.19  % fd_cond                               0
% 3.29/1.19  % fd_pseudo_cond                        0
% 3.29/1.19  % AC symbols                            0
% 3.29/1.19  
% 3.29/1.19  % ------ Schedule EPR non Horn non eq is on
% 3.29/1.19  
% 3.29/1.19  % ------ no equalities: superposition off 
% 3.29/1.19  
% 3.29/1.19  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.29/1.19  
% 3.29/1.19  
% 3.29/1.19  % ------ 
% 3.29/1.19  % Current options:
% 3.29/1.19  % ------ 
% 3.29/1.19  
% 3.29/1.19  
% 3.29/1.19  % 
% 3.29/1.19  
% 3.29/1.19  % ------ Proving...
% 3.29/1.19  % 
% 3.29/1.19  
% 3.29/1.19  % SZS status Theorem for theBenchmark.p
% 3.29/1.19  
% 3.29/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.29/1.19  
% 3.29/1.19  
%------------------------------------------------------------------------------