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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN459+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n018.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 03:40:19 PM UTC 2026

% Result   : Theorem 4.19s 6.31s
% Output   : CNFRefutation 4.19s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f178ERROR: Could not build tree for root c_14140ERROR: MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp12
        | hskp15
        | hskp14 )
      & ( hskp9
        | hskp14
        | hskp7 )
      & ( hskp2
        | hskp22
        | hskp24 )
      & ( hskp21
        | hskp15
        | hskp5 )
      & ( hskp0
        | hskp9
        | hskp1 )
      & ( hskp2
        | hskp9
        | hskp23 )
      & ( hskp2
        | hskp15
        | hskp25 )
      & ( hskp12
        | hskp16
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) ) )
      & ( hskp5
        | hskp23
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | ~ c0_1(X97) ) ) )
      & ( hskp2
        | hskp1
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c1_1(X96)
              | ~ c0_1(X96) ) ) )
      & ( hskp24
        | hskp10
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c3_1(X95) ) ) )
      & ( hskp9
        | hskp7
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c0_1(X94)
              | c3_1(X94) ) ) )
      & ( hskp4
        | hskp7
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | ~ c0_1(X93)
              | c3_1(X93) ) ) )
      & ( hskp20
        | hskp4
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c0_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp16
        | hskp25
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | ~ c0_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp12
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c1_1(X90)
              | c3_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c0_1(X89)
              | c2_1(X89) ) ) )
      & ( hskp12
        | hskp3
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp13
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c1_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) ) )
      & ( ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | c3_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | c3_1(X83)
              | c2_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c3_1(X80)
              | ~ c2_1(X80)
              | c1_1(X80) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c2_1(X77)
              | ~ c0_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp19
        | ! [X76] :
            ( ndr1_0
           => ( ~ c2_1(X76)
              | ~ c0_1(X76)
              | c3_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp24
        | ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | ~ c0_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | c3_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp18
        | hskp17
        | ! [X72] :
            ( ndr1_0
           => ( ~ c0_1(X72)
              | c3_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp16
        | hskp23
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c1_1(X71) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c2_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c0_1(X68)
              | c3_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp13
        | ! [X67] :
            ( ndr1_0
           => ( ~ c1_1(X67)
              | ~ c0_1(X67)
              | c3_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp1
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp9
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | c2_1(X62)
              | c1_1(X62) ) ) )
      & ( hskp1
        | ! [X61] :
            ( ndr1_0
           => ( ~ c2_1(X61)
              | ~ c0_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c3_1(X58)
              | c2_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp24
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c0_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c2_1(X55)
              | c1_1(X55) ) ) )
      & ( hskp15
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) ) )
      & ( hskp4
        | hskp8
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp7
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | ~ c0_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp14
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c2_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp13
        | ! [X47] :
            ( ndr1_0
           => ( c3_1(X47)
              | c2_1(X47)
              | c1_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp10
        | ! [X45] :
            ( ndr1_0
           => ( c3_1(X45)
              | c2_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c1_1(X44)
              | c0_1(X44) ) ) )
      & ( hskp6
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp12
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c3_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp0
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | ~ c1_1(X39)
              | c2_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp2
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | c2_1(X37)
              | c1_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp9
        | hskp11
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c0_1(X33)
              | c3_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp5
        | ! [X31] :
            ( ndr1_0
           => ( ~ c2_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c0_1(X27)
              | c3_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | c3_1(X26)
              | c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c0_1(X24)
              | c1_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | ~ c1_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp9
        | hskp8
        | ! [X21] :
            ( ndr1_0
           => ( ~ c1_1(X21)
              | c2_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp7
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | ~ c2_1(X20)
              | ~ c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp6
        | ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp6
        | hskp5
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp4
        | hskp3
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp2
        | ! [X15] :
            ( ndr1_0
           => ( ~ c1_1(X15)
              | ~ c0_1(X15)
              | c3_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c0_1(X13)
              | c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | c2_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp23
        | ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c2_1(a230)
          & c1_1(a230)
          & c0_1(a230)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( c3_1(a215)
          & c2_1(a215)
          & c1_1(a215)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( c3_1(a189)
          & c1_1(a189)
          & c0_1(a189)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a259)
          & ~ c0_1(a259)
          & c3_1(a259)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a257)
          & ~ c1_1(a257)
          & c2_1(a257)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c0_1(a233)
          & c3_1(a233)
          & c2_1(a233)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c1_1(a225)
          & ~ c0_1(a225)
          & c3_1(a225)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a223)
          & ~ c1_1(a223)
          & c3_1(a223)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a222)
          & c2_1(a222)
          & c1_1(a222)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a221)
          & ~ c1_1(a221)
          & ~ c0_1(a221)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a214)
          & ~ c0_1(a214)
          & c2_1(a214)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a210)
          & c3_1(a210)
          & c2_1(a210)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a209)
          & c3_1(a209)
          & c1_1(a209)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a206)
          & ~ c2_1(a206)
          & ~ c0_1(a206)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c3_1(a202)
          & ~ c2_1(a202)
          & c0_1(a202)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a200)
          & c3_1(a200)
          & c0_1(a200)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a199)
          & ~ c0_1(a199)
          & c2_1(a199)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a198)
          & c3_1(a198)
          & c1_1(a198)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a197)
          & ~ c0_1(a197)
          & c1_1(a197)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a195)
          & ~ c1_1(a195)
          & c0_1(a195)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c2_1(a194)
          & ~ c1_1(a194)
          & c0_1(a194)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a193)
          & ~ c0_1(a193)
          & c1_1(a193)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a192)
          & c1_1(a192)
          & c0_1(a192)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a191)
          & ~ c2_1(a191)
          & ~ c1_1(a191)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a190)
          & c2_1(a190)
          & c0_1(a190)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a188)
          & ~ c1_1(a188)
          & ~ c0_1(a188)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp12
          | hskp15
          | hskp14 )
        & ( hskp9
          | hskp14
          | hskp7 )
        & ( hskp2
          | hskp22
          | hskp24 )
        & ( hskp21
          | hskp15
          | hskp5 )
        & ( hskp0
          | hskp9
          | hskp1 )
        & ( hskp2
          | hskp9
          | hskp23 )
        & ( hskp2
          | hskp15
          | hskp25 )
        & ( hskp12
          | hskp16
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) ) )
        & ( hskp5
          | hskp23
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | ~ c0_1(X97) ) ) )
        & ( hskp2
          | hskp1
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c1_1(X96)
                | ~ c0_1(X96) ) ) )
        & ( hskp24
          | hskp10
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c3_1(X95) ) ) )
        & ( hskp9
          | hskp7
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | c3_1(X94) ) ) )
        & ( hskp4
          | hskp7
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c3_1(X93) ) ) )
        & ( hskp20
          | hskp4
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp16
          | hskp25
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c0_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp12
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | c3_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c0_1(X89)
                | c2_1(X89) ) ) )
        & ( hskp12
          | hskp3
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp13
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c1_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | c3_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | c3_1(X83)
                | c2_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | c1_1(X80) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c0_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp19
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | ~ c0_1(X76)
                | c3_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp24
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | c3_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp18
          | hskp17
          | ! [X72] :
              ( ndr1_0
             => ( ~ c0_1(X72)
                | c3_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp16
          | hskp23
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c1_1(X71) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp13
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | ~ c0_1(X67)
                | c3_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp1
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp9
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c2_1(X62)
                | c1_1(X62) ) ) )
        & ( hskp1
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c3_1(X58)
                | c2_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp24
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c0_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c2_1(X55)
                | c1_1(X55) ) ) )
        & ( hskp15
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp4
          | hskp8
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp7
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp13
          | ! [X47] :
              ( ndr1_0
             => ( c3_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp10
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c1_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp6
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp12
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c3_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp0
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp2
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp9
          | hskp11
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp5
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c0_1(X24)
                | c1_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c1_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp9
          | hskp8
          | ! [X21] :
              ( ndr1_0
             => ( ~ c1_1(X21)
                | c2_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp7
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp6
          | ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp6
          | hskp5
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp4
          | hskp3
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp2
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c0_1(X13)
                | c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | c2_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp23
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c2_1(a230)
            & c1_1(a230)
            & c0_1(a230)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( c3_1(a215)
            & c2_1(a215)
            & c1_1(a215)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( c3_1(a189)
            & c1_1(a189)
            & c0_1(a189)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a259)
            & ~ c0_1(a259)
            & c3_1(a259)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a257)
            & ~ c1_1(a257)
            & c2_1(a257)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c0_1(a233)
            & c3_1(a233)
            & c2_1(a233)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c1_1(a225)
            & ~ c0_1(a225)
            & c3_1(a225)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a223)
            & ~ c1_1(a223)
            & c3_1(a223)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a222)
            & c2_1(a222)
            & c1_1(a222)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a221)
            & ~ c1_1(a221)
            & ~ c0_1(a221)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a214)
            & ~ c0_1(a214)
            & c2_1(a214)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a210)
            & c3_1(a210)
            & c2_1(a210)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a209)
            & c3_1(a209)
            & c1_1(a209)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a206)
            & ~ c2_1(a206)
            & ~ c0_1(a206)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c3_1(a202)
            & ~ c2_1(a202)
            & c0_1(a202)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a200)
            & c3_1(a200)
            & c0_1(a200)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a199)
            & ~ c0_1(a199)
            & c2_1(a199)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a198)
            & c3_1(a198)
            & c1_1(a198)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a197)
            & ~ c0_1(a197)
            & c1_1(a197)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a195)
            & ~ c1_1(a195)
            & c0_1(a195)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c2_1(a194)
            & ~ c1_1(a194)
            & c0_1(a194)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a193)
            & ~ c0_1(a193)
            & c1_1(a193)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a192)
            & c1_1(a192)
            & c0_1(a192)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a191)
            & ~ c2_1(a191)
            & ~ c1_1(a191)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a190)
            & c2_1(a190)
            & c0_1(a190)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a188)
            & ~ c1_1(a188)
            & ~ c0_1(a188)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( hskp12
      | hskp15
      | hskp14 )
    & ( hskp9
      | hskp14
      | hskp7 )
    & ( hskp2
      | hskp22
      | hskp24 )
    & ( hskp21
      | hskp15
      | hskp5 )
    & ( hskp0
      | hskp9
      | hskp1 )
    & ( hskp2
      | hskp9
      | hskp23 )
    & ( hskp2
      | hskp15
      | hskp25 )
    & ( hskp12
      | hskp16
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c0_1(X98) ) ) )
    & ( hskp5
      | hskp23
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | ~ c2_1(X97)
            | ~ c0_1(X97) ) ) )
    & ( hskp2
      | hskp1
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c1_1(X96)
            | ~ c0_1(X96) ) ) )
    & ( hskp24
      | hskp10
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | ~ c0_1(X95)
            | c3_1(X95) ) ) )
    & ( hskp9
      | hskp7
      | ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | ~ c0_1(X94)
            | c3_1(X94) ) ) )
    & ( hskp4
      | hskp7
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c0_1(X93)
            | c3_1(X93) ) ) )
    & ( hskp20
      | hskp4
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) ) )
    & ( hskp16
      | hskp25
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | ~ c0_1(X91)
            | c2_1(X91) ) ) )
    & ( hskp12
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | c3_1(X90) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c1_1(X89)
            | ~ c0_1(X89)
            | c2_1(X89) ) ) )
    & ( hskp12
      | hskp3
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c3_1(X88)
            | c2_1(X88) ) ) )
    & ( hskp13
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | ~ c1_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c0_1(X86)
            | c3_1(X86)
            | c2_1(X86) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | ~ c1_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | ~ c1_1(X84)
            | c3_1(X84) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c0_1(X83)
            | c3_1(X83)
            | c2_1(X83) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c1_1(X82)
            | ~ c0_1(X82)
            | c3_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | ~ c0_1(X81)
            | c2_1(X81) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | c1_1(X80) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c2_1(X79)
            | ~ c1_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | c3_1(X78)
            | c2_1(X78) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c0_1(X77)
            | c1_1(X77) ) ) )
    & ( hskp19
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | ~ c0_1(X76)
            | c3_1(X76) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) ) )
    & ( hskp24
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c0_1(X74)
            | c2_1(X74) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c2_1(X73)
            | c3_1(X73)
            | c1_1(X73) ) ) )
    & ( hskp18
      | hskp17
      | ! [X72] :
          ( ndr1_0
         => ( ~ c0_1(X72)
            | c3_1(X72)
            | c1_1(X72) ) ) )
    & ( hskp16
      | hskp23
      | ! [X71] :
          ( ndr1_0
         => ( ~ c0_1(X71)
            | c3_1(X71)
            | c1_1(X71) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | ~ c0_1(X70) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c1_1(X69)
            | ~ c0_1(X69) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c1_1(X68) ) ) )
    & ( hskp13
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | ~ c0_1(X67)
            | c3_1(X67) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) ) )
    & ( hskp1
      | ! [X65] :
          ( ndr1_0
         => ( ~ c0_1(X65)
            | c3_1(X65)
            | c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c1_1(X64) ) ) )
    & ( hskp9
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | ~ c1_1(X63)
            | ~ c0_1(X63) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c2_1(X62)
            | c1_1(X62) ) ) )
    & ( hskp1
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c0_1(X60)
            | c2_1(X60)
            | c1_1(X60) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | ~ c0_1(X59) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c3_1(X58)
            | c2_1(X58) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c2_1(X57)
            | c1_1(X57) ) ) )
    & ( hskp24
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c0_1(X56)
            | c1_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | c2_1(X55)
            | c1_1(X55) ) ) )
    & ( hskp15
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X53] :
          ( ndr1_0
         => ( c3_1(X53)
            | c2_1(X53)
            | c1_1(X53) ) ) )
    & ( hskp4
      | hskp8
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c2_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp7
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c2_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp14
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c1_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp13
      | ! [X47] :
          ( ndr1_0
         => ( c3_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp10
      | ! [X45] :
          ( ndr1_0
         => ( c3_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c1_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp6
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | ~ c0_1(X43) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp12
      | ! [X41] :
          ( ndr1_0
         => ( ~ c1_1(X41)
            | ~ c0_1(X41)
            | c3_1(X41) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c1_1(X40)
            | c0_1(X40) ) ) )
    & ( hskp0
      | ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c1_1(X39)
            | c2_1(X39) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c2_1(X38)
            | ~ c1_1(X38)
            | c0_1(X38) ) ) )
    & ( hskp2
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c1_1(X36)
            | c0_1(X36) ) ) )
    & ( hskp9
      | hskp11
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | c3_1(X35)
            | c0_1(X35) ) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c2_1(X33) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c0_1(X32) ) ) )
    & ( hskp5
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | c3_1(X31)
            | c0_1(X31) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c0_1(X30) ) ) )
    & ( hskp10
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) ) )
    & ( ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | c2_1(X25)
            | c0_1(X25) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c0_1(X24)
            | c1_1(X24) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c1_1(X23)
            | c0_1(X23) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c2_1(X22)
            | c0_1(X22) ) ) )
    & ( hskp9
      | hskp8
      | ! [X21] :
          ( ndr1_0
         => ( ~ c1_1(X21)
            | c2_1(X21)
            | c0_1(X21) ) ) )
    & ( hskp7
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | ~ c1_1(X20) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | c2_1(X19)
            | c0_1(X19) ) ) )
    & ( hskp6
      | ! [X18] :
          ( ndr1_0
         => ( c3_1(X18)
            | c2_1(X18)
            | c0_1(X18) ) ) )
    & ( hskp6
      | hskp5
      | ! [X17] :
          ( ndr1_0
         => ( c3_1(X17)
            | c2_1(X17)
            | c0_1(X17) ) ) )
    & ( hskp4
      | hskp3
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | c1_1(X16)
            | c0_1(X16) ) ) )
    & ( hskp2
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c1_1(X14)
            | c0_1(X14) ) ) )
    & ( ! [X13] :
          ( ndr1_0
         => ( ~ c0_1(X13)
            | c2_1(X13)
            | c1_1(X13) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c1_1(X12)
            | c0_1(X12) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c2_1(X11)
            | c1_1(X11)
            | c0_1(X11) ) ) )
    & ( ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | c2_1(X10)
            | c1_1(X10) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | c0_1(X9) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | c1_1(X8)
            | c0_1(X8) ) ) )
    & ( hskp1
      | ! [X7] :
          ( ndr1_0
         => ( c3_1(X7)
            | c1_1(X7)
            | c0_1(X7) ) ) )
    & ( hskp23
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | c2_1(X6)
            | c0_1(X6) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | c1_1(X5)
            | c0_1(X5) ) ) )
    & ( hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c0_1(X4)
            | c2_1(X4) ) )
      | ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c1_1(X3)
            | c0_1(X3) ) ) )
    & ( ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | c2_1(X2)
            | c1_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | c2_1(X1)
            | c0_1(X1) ) )
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | c1_1(X0)
            | c0_1(X0) ) ) )
    & ( ( c2_1(a230)
        & c1_1(a230)
        & c0_1(a230)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c3_1(a215)
        & c2_1(a215)
        & c1_1(a215)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( c3_1(a189)
        & c1_1(a189)
        & c0_1(a189)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a259)
        & ~ c0_1(a259)
        & c3_1(a259)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a257)
        & ~ c1_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a233)
        & c3_1(a233)
        & c2_1(a233)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a225)
        & ~ c0_1(a225)
        & c3_1(a225)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a223)
        & ~ c1_1(a223)
        & c3_1(a223)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a222)
        & c2_1(a222)
        & c1_1(a222)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a221)
        & ~ c1_1(a221)
        & ~ c0_1(a221)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a214)
        & ~ c0_1(a214)
        & c2_1(a214)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a210)
        & c3_1(a210)
        & c2_1(a210)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a209)
        & c3_1(a209)
        & c1_1(a209)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a206)
        & ~ c2_1(a206)
        & ~ c0_1(a206)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a202)
        & ~ c2_1(a202)
        & c0_1(a202)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a200)
        & c3_1(a200)
        & c0_1(a200)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a199)
        & ~ c0_1(a199)
        & c2_1(a199)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a198)
        & c3_1(a198)
        & c1_1(a198)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a197)
        & ~ c0_1(a197)
        & c1_1(a197)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a195)
        & ~ c1_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a194)
        & ~ c1_1(a194)
        & c0_1(a194)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a193)
        & ~ c0_1(a193)
        & c1_1(a193)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a192)
        & c1_1(a192)
        & c0_1(a192)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a191)
        & ~ c2_1(a191)
        & ~ c1_1(a191)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a190)
        & c2_1(a190)
        & c0_1(a190)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a188)
        & ~ c1_1(a188)
        & ~ c0_1(a188)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( hskp12
      | hskp15
      | hskp14 )
    & ( hskp9
      | hskp14
      | hskp7 )
    & ( hskp2
      | hskp22
      | hskp24 )
    & ( hskp21
      | hskp15
      | hskp5 )
    & ( hskp0
      | hskp9
      | hskp1 )
    & ( hskp2
      | hskp9
      | hskp23 )
    & ( hskp2
      | hskp15
      | hskp25 )
    & ( hskp12
      | hskp16
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98) ) )
    & ( hskp5
      | hskp23
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c2_1(X97)
          | ~ c0_1(X97) ) )
    & ( hskp2
      | hskp1
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96) ) )
    & ( hskp24
      | hskp10
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c0_1(X95)
          | c3_1(X95) ) )
    & ( hskp9
      | hskp7
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | ~ c0_1(X94)
          | c3_1(X94) ) )
    & ( hskp4
      | hskp7
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93) ) )
    & ( hskp20
      | hskp4
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) ) )
    & ( hskp16
      | hskp25
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91) ) )
    & ( hskp12
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | c3_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89) ) )
    & ( hskp12
      | hskp3
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp13
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c1_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86) ) )
    & ( ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | c1_1(X80) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c3_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( hskp19
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75) ) )
    & ( hskp24
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp18
      | hskp17
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c1_1(X72) ) )
    & ( hskp16
      | hskp23
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68) ) )
    & ( hskp13
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp1
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c3_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( hskp9
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62) ) )
    & ( hskp1
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c1_1(X59)
          | ~ c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | c3_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c0_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( hskp24
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c0_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c2_1(X55)
          | c1_1(X55) ) )
    & ( hskp15
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | c3_1(X53)
          | c2_1(X53)
          | c1_1(X53) ) )
    & ( hskp4
      | hskp8
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp7
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp14
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp13
      | ! [X47] :
          ( ~ ndr1_0
          | c3_1(X47)
          | c2_1(X47)
          | c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp10
      | ! [X45] :
          ( ~ ndr1_0
          | c3_1(X45)
          | c2_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44) ) )
    & ( hskp6
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp12
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40) ) )
    & ( hskp0
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c1_1(X39)
          | c2_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38) ) )
    & ( hskp2
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | c0_1(X36) ) )
    & ( hskp9
      | hskp11
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c0_1(X35) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32) ) )
    & ( hskp5
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c2_1(X31)
          | c3_1(X31)
          | c0_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp10
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp9
      | hskp8
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( hskp7
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c2_1(X20)
          | ~ c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | c2_1(X19)
          | c0_1(X19) ) )
    & ( hskp6
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp6
      | hskp5
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp4
      | hskp3
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp2
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | c2_1(X13)
          | c1_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | c2_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp23
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c1_1(X6)
          | c2_1(X6)
          | c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c3_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c2_1(X2)
          | c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a230)
        & c1_1(a230)
        & c0_1(a230)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c3_1(a215)
        & c2_1(a215)
        & c1_1(a215)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( c3_1(a189)
        & c1_1(a189)
        & c0_1(a189)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a259)
        & ~ c0_1(a259)
        & c3_1(a259)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a257)
        & ~ c1_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a233)
        & c3_1(a233)
        & c2_1(a233)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a225)
        & ~ c0_1(a225)
        & c3_1(a225)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a223)
        & ~ c1_1(a223)
        & c3_1(a223)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a222)
        & c2_1(a222)
        & c1_1(a222)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a221)
        & ~ c1_1(a221)
        & ~ c0_1(a221)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a214)
        & ~ c0_1(a214)
        & c2_1(a214)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a210)
        & c3_1(a210)
        & c2_1(a210)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a209)
        & c3_1(a209)
        & c1_1(a209)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a206)
        & ~ c2_1(a206)
        & ~ c0_1(a206)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a202)
        & ~ c2_1(a202)
        & c0_1(a202)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a200)
        & c3_1(a200)
        & c0_1(a200)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a199)
        & ~ c0_1(a199)
        & c2_1(a199)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a198)
        & c3_1(a198)
        & c1_1(a198)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a197)
        & ~ c0_1(a197)
        & c1_1(a197)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a195)
        & ~ c1_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a194)
        & ~ c1_1(a194)
        & c0_1(a194)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a193)
        & ~ c0_1(a193)
        & c1_1(a193)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a192)
        & c1_1(a192)
        & c0_1(a192)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a191)
        & ~ c2_1(a191)
        & ~ c1_1(a191)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a190)
        & c2_1(a190)
        & c0_1(a190)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a188)
        & ~ c1_1(a188)
        & ~ c0_1(a188)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( hskp12
      | hskp15
      | hskp14 )
    & ( hskp9
      | hskp14
      | hskp7 )
    & ( hskp2
      | hskp22
      | hskp24 )
    & ( hskp21
      | hskp15
      | hskp5 )
    & ( hskp0
      | hskp9
      | hskp1 )
    & ( hskp2
      | hskp9
      | hskp23 )
    & ( hskp2
      | hskp15
      | hskp25 )
    & ( hskp12
      | hskp16
      | ! [X98] :
          ( ~ ndr1_0
          | ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c0_1(X98) ) )
    & ( hskp5
      | hskp23
      | ! [X97] :
          ( ~ ndr1_0
          | ~ c3_1(X97)
          | ~ c2_1(X97)
          | ~ c0_1(X97) ) )
    & ( hskp2
      | hskp1
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | ~ c1_1(X96)
          | ~ c0_1(X96) ) )
    & ( hskp24
      | hskp10
      | ! [X95] :
          ( ~ ndr1_0
          | ~ c2_1(X95)
          | ~ c0_1(X95)
          | c3_1(X95) ) )
    & ( hskp9
      | hskp7
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | ~ c0_1(X94)
          | c3_1(X94) ) )
    & ( hskp4
      | hskp7
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c1_1(X93)
          | ~ c0_1(X93)
          | c3_1(X93) ) )
    & ( hskp20
      | hskp4
      | ! [X92] :
          ( ~ ndr1_0
          | ~ c3_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92) ) )
    & ( hskp16
      | hskp25
      | ! [X91] :
          ( ~ ndr1_0
          | ~ c1_1(X91)
          | ~ c0_1(X91)
          | c2_1(X91) ) )
    & ( hskp12
      | ! [X90] :
          ( ~ ndr1_0
          | ~ c2_1(X90)
          | ~ c1_1(X90)
          | c3_1(X90) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c0_1(X89)
          | c2_1(X89) ) )
    & ( hskp12
      | hskp3
      | ! [X88] :
          ( ~ ndr1_0
          | ~ c1_1(X88)
          | c3_1(X88)
          | c2_1(X88) ) )
    & ( hskp13
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c3_1(X87)
          | ~ c2_1(X87)
          | ~ c1_1(X87) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | c3_1(X86)
          | c2_1(X86) ) )
    & ( ! [X85] :
          ( ~ ndr1_0
          | ~ c3_1(X85)
          | ~ c1_1(X85)
          | ~ c0_1(X85) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c2_1(X84)
          | ~ c1_1(X84)
          | c3_1(X84) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | c3_1(X83)
          | c2_1(X83) ) )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c0_1(X81)
          | c2_1(X81) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c3_1(X80)
          | ~ c2_1(X80)
          | c1_1(X80) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | ~ c2_1(X79)
          | ~ c1_1(X79)
          | ~ c0_1(X79) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | c3_1(X78)
          | c2_1(X78) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c2_1(X77)
          | ~ c0_1(X77)
          | c1_1(X77) ) )
    & ( hskp19
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c2_1(X76)
          | ~ c0_1(X76)
          | c3_1(X76) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75) ) )
    & ( hskp24
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74) )
      | ! [X73] :
          ( ~ ndr1_0
          | ~ c2_1(X73)
          | c3_1(X73)
          | c1_1(X73) ) )
    & ( hskp18
      | hskp17
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c0_1(X72)
          | c3_1(X72)
          | c1_1(X72) ) )
    & ( hskp16
      | hskp23
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c0_1(X71)
          | c3_1(X71)
          | c1_1(X71) ) )
    & ( ! [X70] :
          ( ~ ndr1_0
          | ~ c3_1(X70)
          | ~ c2_1(X70)
          | ~ c0_1(X70) )
      | ! [X69] :
          ( ~ ndr1_0
          | ~ c3_1(X69)
          | ~ c1_1(X69)
          | ~ c0_1(X69) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c0_1(X68)
          | c3_1(X68)
          | c1_1(X68) ) )
    & ( hskp13
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c1_1(X67)
          | ~ c0_1(X67)
          | c3_1(X67) )
      | ! [X66] :
          ( ~ ndr1_0
          | ~ c3_1(X66)
          | c2_1(X66)
          | c1_1(X66) ) )
    & ( hskp1
      | ! [X65] :
          ( ~ ndr1_0
          | ~ c0_1(X65)
          | c3_1(X65)
          | c2_1(X65) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c3_1(X64)
          | c2_1(X64)
          | c1_1(X64) ) )
    & ( hskp9
      | ! [X63] :
          ( ~ ndr1_0
          | ~ c3_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X62] :
          ( ~ ndr1_0
          | ~ c0_1(X62)
          | c2_1(X62)
          | c1_1(X62) ) )
    & ( hskp1
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61) )
      | ! [X60] :
          ( ~ ndr1_0
          | ~ c0_1(X60)
          | c2_1(X60)
          | c1_1(X60) ) )
    & ( ! [X59] :
          ( ~ ndr1_0
          | ~ c2_1(X59)
          | ~ c1_1(X59)
          | ~ c0_1(X59) )
      | ! [X58] :
          ( ~ ndr1_0
          | ~ c0_1(X58)
          | c3_1(X58)
          | c2_1(X58) )
      | ! [X57] :
          ( ~ ndr1_0
          | ~ c0_1(X57)
          | c2_1(X57)
          | c1_1(X57) ) )
    & ( hskp24
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c3_1(X56)
          | ~ c0_1(X56)
          | c1_1(X56) )
      | ! [X55] :
          ( ~ ndr1_0
          | ~ c0_1(X55)
          | c2_1(X55)
          | c1_1(X55) ) )
    & ( hskp15
      | ! [X54] :
          ( ~ ndr1_0
          | ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54) )
      | ! [X53] :
          ( ~ ndr1_0
          | c3_1(X53)
          | c2_1(X53)
          | c1_1(X53) ) )
    & ( hskp4
      | hskp8
      | ! [X52] :
          ( ~ ndr1_0
          | ~ c3_1(X52)
          | ~ c2_1(X52)
          | c0_1(X52) ) )
    & ( hskp7
      | ! [X51] :
          ( ~ ndr1_0
          | ~ c2_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51) )
      | ! [X50] :
          ( ~ ndr1_0
          | ~ c3_1(X50)
          | ~ c2_1(X50)
          | c0_1(X50) ) )
    & ( hskp14
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48) ) )
    & ( hskp13
      | ! [X47] :
          ( ~ ndr1_0
          | c3_1(X47)
          | c2_1(X47)
          | c1_1(X47) )
      | ! [X46] :
          ( ~ ndr1_0
          | ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46) ) )
    & ( hskp10
      | ! [X45] :
          ( ~ ndr1_0
          | c3_1(X45)
          | c2_1(X45)
          | c1_1(X45) )
      | ! [X44] :
          ( ~ ndr1_0
          | ~ c3_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44) ) )
    & ( hskp6
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c2_1(X43)
          | ~ c0_1(X43) )
      | ! [X42] :
          ( ~ ndr1_0
          | ~ c2_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42) ) )
    & ( hskp12
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | c3_1(X41) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | c0_1(X40) ) )
    & ( hskp0
      | ! [X39] :
          ( ~ ndr1_0
          | ~ c3_1(X39)
          | ~ c1_1(X39)
          | c2_1(X39) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c2_1(X38)
          | ~ c1_1(X38)
          | c0_1(X38) ) )
    & ( hskp2
      | ! [X37] :
          ( ~ ndr1_0
          | ~ c0_1(X37)
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X36] :
          ( ~ ndr1_0
          | ~ c2_1(X36)
          | ~ c1_1(X36)
          | c0_1(X36) ) )
    & ( hskp9
      | hskp11
      | ! [X35] :
          ( ~ ndr1_0
          | ~ c2_1(X35)
          | c3_1(X35)
          | c0_1(X35) ) )
    & ( ! [X34] :
          ( ~ ndr1_0
          | ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34) )
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c0_1(X33)
          | c3_1(X33)
          | c2_1(X33) )
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c2_1(X32)
          | c3_1(X32)
          | c0_1(X32) ) )
    & ( hskp5
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c2_1(X31)
          | c3_1(X31)
          | c0_1(X31) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | c3_1(X30)
          | c0_1(X30) ) )
    & ( hskp10
      | ! [X29] :
          ( ~ ndr1_0
          | ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29) )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27) )
      | ! [X26] :
          ( ~ ndr1_0
          | ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | ~ c3_1(X24)
          | ~ c0_1(X24)
          | c1_1(X24) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c2_1(X23)
          | ~ c1_1(X23)
          | c0_1(X23) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | c2_1(X22)
          | c0_1(X22) ) )
    & ( hskp9
      | hskp8
      | ! [X21] :
          ( ~ ndr1_0
          | ~ c1_1(X21)
          | c2_1(X21)
          | c0_1(X21) ) )
    & ( hskp7
      | ! [X20] :
          ( ~ ndr1_0
          | ~ c3_1(X20)
          | ~ c2_1(X20)
          | ~ c1_1(X20) )
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c1_1(X19)
          | c2_1(X19)
          | c0_1(X19) ) )
    & ( hskp6
      | ! [X18] :
          ( ~ ndr1_0
          | c3_1(X18)
          | c2_1(X18)
          | c0_1(X18) ) )
    & ( hskp6
      | hskp5
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | c2_1(X17)
          | c0_1(X17) ) )
    & ( hskp4
      | hskp3
      | ! [X16] :
          ( ~ ndr1_0
          | ~ c3_1(X16)
          | c1_1(X16)
          | c0_1(X16) ) )
    & ( hskp2
      | ! [X15] :
          ( ~ ndr1_0
          | ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15) )
      | ! [X14] :
          ( ~ ndr1_0
          | ~ c3_1(X14)
          | c1_1(X14)
          | c0_1(X14) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | c2_1(X13)
          | c1_1(X13) )
      | ! [X12] :
          ( ~ ndr1_0
          | ~ c3_1(X12)
          | ~ c1_1(X12)
          | c0_1(X12) )
      | ! [X11] :
          ( ~ ndr1_0
          | ~ c2_1(X11)
          | c1_1(X11)
          | c0_1(X11) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | c2_1(X10)
          | c1_1(X10) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c2_1(X9)
          | ~ c1_1(X9)
          | c0_1(X9) )
      | ! [X8] :
          ( ~ ndr1_0
          | ~ c2_1(X8)
          | c1_1(X8)
          | c0_1(X8) ) )
    & ( hskp1
      | ! [X7] :
          ( ~ ndr1_0
          | c3_1(X7)
          | c1_1(X7)
          | c0_1(X7) ) )
    & ( hskp23
      | ! [X6] :
          ( ~ ndr1_0
          | ~ c1_1(X6)
          | c2_1(X6)
          | c0_1(X6) )
      | ! [X5] :
          ( ~ ndr1_0
          | c3_1(X5)
          | c1_1(X5)
          | c0_1(X5) ) )
    & ( hskp0
      | ! [X4] :
          ( ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c0_1(X4)
          | c2_1(X4) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c1_1(X3)
          | c0_1(X3) ) )
    & ( ! [X2] :
          ( ~ ndr1_0
          | c3_1(X2)
          | c2_1(X2)
          | c1_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | ~ c3_1(X1)
          | c2_1(X1)
          | c0_1(X1) )
      | ! [X0] :
          ( ~ ndr1_0
          | c2_1(X0)
          | c1_1(X0)
          | c0_1(X0) ) )
    & ( ( c2_1(a230)
        & c1_1(a230)
        & c0_1(a230)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c3_1(a215)
        & c2_1(a215)
        & c1_1(a215)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( c3_1(a189)
        & c1_1(a189)
        & c0_1(a189)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a259)
        & ~ c0_1(a259)
        & c3_1(a259)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a257)
        & ~ c1_1(a257)
        & c2_1(a257)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c0_1(a233)
        & c3_1(a233)
        & c2_1(a233)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c1_1(a225)
        & ~ c0_1(a225)
        & c3_1(a225)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a223)
        & ~ c1_1(a223)
        & c3_1(a223)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a222)
        & c2_1(a222)
        & c1_1(a222)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a221)
        & ~ c1_1(a221)
        & ~ c0_1(a221)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a214)
        & ~ c0_1(a214)
        & c2_1(a214)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a210)
        & c3_1(a210)
        & c2_1(a210)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a209)
        & c3_1(a209)
        & c1_1(a209)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a206)
        & ~ c2_1(a206)
        & ~ c0_1(a206)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c3_1(a202)
        & ~ c2_1(a202)
        & c0_1(a202)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a200)
        & c3_1(a200)
        & c0_1(a200)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a199)
        & ~ c0_1(a199)
        & c2_1(a199)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a198)
        & c3_1(a198)
        & c1_1(a198)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a197)
        & ~ c0_1(a197)
        & c1_1(a197)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a195)
        & ~ c1_1(a195)
        & c0_1(a195)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c2_1(a194)
        & ~ c1_1(a194)
        & c0_1(a194)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a193)
        & ~ c0_1(a193)
        & c1_1(a193)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a192)
        & c1_1(a192)
        & c0_1(a192)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a191)
        & ~ c2_1(a191)
        & ~ c1_1(a191)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a190)
        & c2_1(a190)
        & c0_1(a190)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a188)
        & ~ c1_1(a188)
        & ~ c0_1(a188)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f10,plain,
    ( hskp0
    | hskp9
    | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ( hskp2
    | hskp9
    | hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ( hskp2
    | hskp15
    | hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X98] :
      ( hskp12
      | hskp16
      | ~ ndr1_0
      | ~ c3_1(X98)
      | ~ c2_1(X98)
      | ~ c0_1(X98) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X97] :
      ( hskp5
      | hskp23
      | ~ ndr1_0
      | ~ c3_1(X97)
      | ~ c2_1(X97)
      | ~ c0_1(X97) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X96] :
      ( hskp2
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X96)
      | ~ c1_1(X96)
      | ~ c0_1(X96) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X95] :
      ( hskp24
      | hskp10
      | ~ ndr1_0
      | ~ c2_1(X95)
      | ~ c0_1(X95)
      | c3_1(X95) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X91] :
      ( hskp16
      | hskp25
      | ~ ndr1_0
      | ~ c1_1(X91)
      | ~ c0_1(X91)
      | c2_1(X91) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X71] :
      ( hskp16
      | hskp23
      | ~ ndr1_0
      | ~ c0_1(X71)
      | c3_1(X71)
      | c1_1(X71) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ! [X18] :
      ( hskp6
      | ~ ndr1_0
      | c3_1(X18)
      | c2_1(X18)
      | c0_1(X18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f57,plain,
    ! [X17] :
      ( hskp6
      | hskp5
      | ~ ndr1_0
      | c3_1(X17)
      | c2_1(X17)
      | c0_1(X17) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ! [X7] :
      ( hskp1
      | ~ ndr1_0
      | c3_1(X7)
      | c1_1(X7)
      | c0_1(X7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f66,plain,
    ( c2_1(a230)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f67,plain,
    ( c1_1(a230)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f68,plain,
    ( c0_1(a230)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( c3_1(a215)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( c2_1(a215)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( c1_1(a215)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( c3_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( c1_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( c0_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ c1_1(a225)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ c0_1(a225)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( c3_1(a225)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ c2_1(a221)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ c1_1(a221)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ c0_1(a221)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ c3_1(a214)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ c0_1(a214)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( c2_1(a214)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f109,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ c0_1(a209)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( c3_1(a209)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( c1_1(a209)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ c3_1(a206)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ c2_1(a206)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ c0_1(a206)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ c1_1(a200)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( c3_1(a200)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( c0_1(a200)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ c1_1(a199)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ c0_1(a199)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( c2_1(a199)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ c3_1(a195)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ c1_1(a195)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( c0_1(a195)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ c2_1(a194)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ c1_1(a194)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( c0_1(a194)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ c3_1(a191)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f159,plain,
    ( ~ c2_1(a191)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f160,plain,
    ( ~ c1_1(a191)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f161,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f162,plain,
    ( ~ c3_1(a190)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f163,plain,
    ( c2_1(a190)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f164,plain,
    ( c0_1(a190)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f166,plain,
    ( ~ c3_1(a188)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f167,plain,
    ( ~ c1_1(a188)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f168,plain,
    ( ~ c0_1(a188)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_50,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a188) ),
    inference(cnf_transformation,[],[f168]) ).

tcf(c_51,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a188) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_52,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a188) ),
    inference(cnf_transformation,[],[f166]) ).

tcf(c_54,negated_conjecture,
    ( c0_1(a190)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_55,negated_conjecture,
    ( c2_1(a190)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_56,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a190) ),
    inference(cnf_transformation,[],[f162]) ).

tcf(c_57,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_58,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a191) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_59,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a191) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_60,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a191) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_70,negated_conjecture,
    ( c0_1(a194)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f148]) ).

tcf(c_71,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a194) ),
    inference(cnf_transformation,[],[f147]) ).

tcf(c_72,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a194) ),
    inference(cnf_transformation,[],[f146]) ).

tcf(c_74,negated_conjecture,
    ( c0_1(a195)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f144]) ).

tcf(c_75,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a195) ),
    inference(cnf_transformation,[],[f143]) ).

tcf(c_76,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a195) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_86,negated_conjecture,
    ( c2_1(a199)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f132]) ).

tcf(c_87,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a199) ),
    inference(cnf_transformation,[],[f131]) ).

tcf(c_88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a199) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_90,negated_conjecture,
    ( c0_1(a200)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_91,negated_conjecture,
    ( c3_1(a200)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_92,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a200) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_98,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a206) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_99,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a206) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_100,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a206) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_102,negated_conjecture,
    ( c1_1(a209)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f116]) ).

tcf(c_103,negated_conjecture,
    ( c3_1(a209)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f115]) ).

tcf(c_104,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a209) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_109,negated_conjecture,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_110,negated_conjecture,
    ( c2_1(a214)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_111,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a214) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_112,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a214) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_114,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a221) ),
    inference(cnf_transformation,[],[f104]) ).

tcf(c_115,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a221) ),
    inference(cnf_transformation,[],[f103]) ).

tcf(c_116,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a221) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_126,negated_conjecture,
    ( c3_1(a225)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_127,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a225) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_128,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a225) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_142,negated_conjecture,
    ( c0_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_143,negated_conjecture,
    ( c1_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_144,negated_conjecture,
    ( c3_1(a189)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_146,negated_conjecture,
    ( c1_1(a215)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f72]) ).

tcf(c_147,negated_conjecture,
    ( c2_1(a215)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f71]) ).

tcf(c_148,negated_conjecture,
    ( c3_1(a215)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_149,negated_conjecture,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f69]) ).

tcf(c_150,negated_conjecture,
    ( c0_1(a230)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f68]) ).

tcf(c_151,negated_conjecture,
    ( c1_1(a230)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_152,negated_conjecture,
    ( c2_1(a230)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_153,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f170]) ).

tcf(c_156,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_157,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f173]) ).

tcf(c_158,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_159,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_161,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | hskp5
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_162,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_165,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f177]) ).

tcf(c_166,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_168,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f180]) ).

tcf(c_169,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_171,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f182]) ).

tcf(c_172,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_173,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_175,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f186]) ).

tcf(c_176,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f187]) ).

tcf(c_178,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f189]) ).

tcf(c_182,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f192]) ).

tcf(c_183,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f193]) ).

tcf(c_184,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f194]) ).

tcf(c_185,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f195]) ).

tcf(c_187,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f197]) ).

tcf(c_188,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp16
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_191,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f199]) ).

tcf(c_192,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f200]) ).

tcf(c_193,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f201]) ).

tcf(c_194,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f202]) ).

tcf(c_197,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f204]) ).

tcf(c_198,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp16
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_202,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp10
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_203,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_204,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp5
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_205,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp12
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_206,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp2 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_207,negated_conjecture,
    ( hskp23
    | hskp9
    | hskp2 ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_208,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_214,plain,
    ( hskp1
    | c3_1(a188)
    | c1_1(a188)
    | c0_1(a188)
    | ~ ndr1_0 ),
    inference(instantiation,[status(thm)],[c_156]) ).

tcf(c_235,negated_conjecture,
    ( hskp9
    | hskp1 ),
    inference(global_subsumption_just,[status(thm)],[c_208,c_208,c_206,c_149,c_109,c_57,c_52,c_51,c_50,c_214]) ).

tcf(c_237,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_149,c_206,c_149,c_109,c_57]) ).

tcf(c_292,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_156,c_206,c_149,c_109,c_57,c_156]) ).

tcf(c_295,plain,
    ! [X0: $i] :
      ( hskp6
      | c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_161,c_206,c_149,c_109,c_57,c_162]) ).

tcf(c_296,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(renaming,[status(thm)],[c_295]) ).

tcf(c_303,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp16
      | c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_188,c_206,c_149,c_109,c_57,c_188]) ).

tcf(c_315,plain,
    ! [X0: $i] :
      ( hskp24
      | hskp10
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_202,c_206,c_149,c_109,c_57,c_202]) ).

tcf(c_316,negated_conjecture,
    ! [X0: $i] :
      ( hskp24
      | hskp10
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_315]) ).

tcf(c_327,plain,
    ! [X0: $i] :
      ( hskp25
      | hskp16
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_198,c_206,c_149,c_109,c_57,c_198]) ).

tcf(c_328,negated_conjecture,
    ! [X0: $i] :
      ( hskp25
      | hskp16
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_327]) ).

tcf(c_333,plain,
    ! [X0: $i] :
      ( hskp16
      | hskp12
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_205,c_206,c_149,c_109,c_57,c_205]) ).

tcf(c_334,negated_conjecture,
    ! [X0: $i] :
      ( hskp16
      | hskp12
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_333]) ).

tcf(c_336,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp5
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_204,c_206,c_149,c_109,c_57,c_204]) ).

tcf(c_337,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp5
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_336]) ).

tcf(c_339,plain,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_203,c_206,c_149,c_109,c_57,c_203]) ).

tcf(c_340,negated_conjecture,
    ! [X0: $i] :
      ( hskp2
      | hskp1
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_339]) ).

tcf(c_346,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_185,c_206,c_149,c_109,c_57,c_185]) ).

tcf(c_347,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_346]) ).

tcf(c_348,plain,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_176,c_206,c_149,c_109,c_57,c_176]) ).

tcf(c_349,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp13
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_348]) ).

tcf(c_350,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_175,c_206,c_149,c_109,c_57,c_175]) ).

tcf(c_351,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c2_1(X1)
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_350]) ).

tcf(c_352,plain,
    ! [X0: $i,X1: $i] :
      ( hskp5
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_168,c_206,c_149,c_109,c_57,c_168]) ).

tcf(c_353,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(renaming,[status(thm)],[c_352]) ).

tcf(c_359,plain,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_191,c_206,c_149,c_109,c_57,c_191]) ).

tcf(c_360,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp19
      | c3_1(X1)
      | c3_1(X0)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_359]) ).

tcf(c_366,plain,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_183,c_206,c_149,c_109,c_57,c_183]) ).

tcf(c_367,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp1
      | c2_1(X0)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_366]) ).

tcf(c_371,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_171,c_206,c_149,c_109,c_57,c_171]) ).

tcf(c_372,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c2_1(X0)
      | c1_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_371]) ).

tcf(c_373,plain,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_159,c_206,c_149,c_109,c_57,c_159]) ).

tcf(c_374,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c3_1(X0)
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_373]) ).

tcf(c_375,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_197,c_206,c_149,c_109,c_57,c_197]) ).

tcf(c_376,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c2_1(X0)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_375]) ).

tcf(c_379,plain,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_184,c_206,c_149,c_109,c_57,c_184]) ).

tcf(c_380,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp9
      | c2_1(X0)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_379]) ).

tcf(c_384,plain,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_173,c_206,c_149,c_109,c_57,c_173]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp12
      | c3_1(X0)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_384]) ).

tcf(c_386,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_172,c_206,c_149,c_109,c_57,c_172]) ).

tcf(c_387,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c2_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_386]) ).

tcf(c_390,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_178,c_206,c_149,c_109,c_57,c_178]) ).

tcf(c_391,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_390]) ).

tcf(c_394,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | c3_1(X2)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_153,c_206,c_149,c_109,c_57,c_153]) ).

tcf(c_396,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_166,c_166,c_237]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c1_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_396]) ).

tcf(c_398,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_158,c_206,c_149,c_109,c_57,c_158]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c1_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_398]) ).

tcf(c_400,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_157,c_206,c_149,c_109,c_57,c_157]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c1_1(X2)
      | c1_1(X1)
      | c0_1(X2)
      | c0_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(renaming,[status(thm)],[c_400]) ).

tcf(c_402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_182,c_206,c_149,c_109,c_57,c_182,c_192]) ).

tcf(c_403,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_402]) ).

tcf(c_404,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_169,c_206,c_149,c_109,c_57,c_169]) ).

tcf(c_405,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_404]) ).

tcf(c_406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_165,c_206,c_149,c_109,c_57,c_165]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c1_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_406]) ).

tcf(c_408,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X2)
      | ~ c3_1(X1)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_194,c_206,c_149,c_109,c_57,c_194]) ).

tcf(c_409,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X2)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_408]) ).

tcf(c_410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_193,c_206,c_149,c_109,c_57,c_193]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X0)
      | c3_1(X1)
      | c1_1(X2)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c1_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_410]) ).

tcf(c_412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_192,c_403]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X1)
      | c3_1(X1)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_412]) ).

tcf(c_414,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X2)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c2_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_187,c_206,c_149,c_109,c_57,c_187]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_414]) ).

tcf(c_4414,plain,
    ( hskp25
    | hskp2
    | ~ c3_1(a214) ),
    inference(resolution,[status(thm)],[c_206,c_112]) ).

tcf(c_4424,plain,
    ( hskp25
    | hskp2
    | ~ c0_1(a214) ),
    inference(resolution,[status(thm)],[c_206,c_111]) ).

tcf(c_4434,plain,
    ( hskp25
    | hskp2
    | c2_1(a214) ),
    inference(resolution,[status(thm)],[c_206,c_110]) ).

tcf(c_6100,plain,
    ( hskp1
    | ~ c1_1(a199) ),
    inference(resolution,[status(thm)],[c_235,c_88]) ).

tcf(c_6107,plain,
    ( hskp1
    | ~ c0_1(a199) ),
    inference(resolution,[status(thm)],[c_235,c_87]) ).

tcf(c_6114,plain,
    ( hskp1
    | c2_1(a199) ),
    inference(resolution,[status(thm)],[c_235,c_86]) ).

tcf(c_6151,plain,
    ( hskp23
    | hskp2
    | ~ c1_1(a199) ),
    inference(resolution,[status(thm)],[c_207,c_88]) ).

tcf(c_6161,plain,
    ( hskp23
    | hskp2
    | ~ c0_1(a199) ),
    inference(resolution,[status(thm)],[c_207,c_87]) ).

tcf(c_6171,plain,
    ( hskp23
    | hskp2
    | c2_1(a199) ),
    inference(resolution,[status(thm)],[c_207,c_86]) ).

tcf(c_6544,plain,
    ( hskp23
    | hskp9
    | ~ c3_1(a191) ),
    inference(resolution,[status(thm)],[c_207,c_60]) ).

tcf(c_6554,plain,
    ( hskp23
    | hskp9
    | ~ c2_1(a191) ),
    inference(resolution,[status(thm)],[c_207,c_59]) ).

tcf(c_12808,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_415]) ).

tcf(c_12809,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_415]) ).

tcf(c_12810,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_12
      | ~ c0_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_415]) ).

tcf(c_12811,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_415]) ).

tcf(c_12812,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_13
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_411]) ).

tcf(c_12813,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_411]) ).

tcf(c_12814,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_411]) ).

tcf(c_12815,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_411]) ).

tcf(c_12817,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_409]) ).

tcf(c_12819,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_407]) ).

tcf(c_12820,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_19
      | c0_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_19])],[c_407]) ).

tcf(c_12823,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_405]) ).

tcf(c_12824,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_405]) ).

tcf(c_12826,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_413]) ).

tcf(c_12827,negated_conjecture,
    ( iPr_def_23
    | iPr_def_21
    | iPr_def_17 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_413]) ).

tcf(c_12828,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_24
      | c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_24])],[c_401]) ).

tcf(c_12829,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_25
      | c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_25])],[c_401]) ).

tcf(c_12830,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_18 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_401]) ).

tcf(c_12831,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_399]) ).

tcf(c_12832,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_399]) ).

tcf(c_12833,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_24 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_399]) ).

tcf(c_12834,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | c1_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_397]) ).

tcf(c_12835,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_29
      | ~ c0_1(X0)
      | c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_29])],[c_397]) ).

tcf(c_12836,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_397]) ).

tcf(c_12837,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_30
      | c0_1(X0)
      | c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_30])],[c_394]) ).

tcf(c_12838,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_31
      | c1_1(X0)
      | c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_31])],[c_394]) ).

tcf(c_12839,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_394]) ).

tcf(c_12841,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_32
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_32])],[c_391]) ).

tcf(c_12846,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_387]) ).

tcf(c_12847,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_387]) ).

tcf(c_12848,negated_conjecture,
    ( iPr_def_18
    | iPr_def_14
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_385]) ).

tcf(c_12850,negated_conjecture,
    ( iPr_def_27
    | iPr_def_10
    | hskp9 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_380]) ).

tcf(c_12852,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_36
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | c2_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_36])],[c_376]) ).

tcf(c_12854,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | c0_1(X0)
      | c1_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_374]) ).

tcf(c_12855,negated_conjecture,
    ( iPr_def_37
    | iPr_def_14
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_374]) ).

tcf(c_12856,negated_conjecture,
    ( iPr_def_27
    | iPr_def_18
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_372]) ).

tcf(c_12858,negated_conjecture,
    ( iPr_def_29
    | iPr_def_27
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_367]) ).

tcf(c_12861,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp19 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_360]) ).

tcf(c_12864,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_353]) ).

tcf(c_12865,negated_conjecture,
    ( iPr_def_38
    | iPr_def_22
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_353]) ).

tcf(c_12866,negated_conjecture,
    ( iPr_def_31
    | iPr_def_26
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_351]) ).

tcf(c_12867,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp13 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_349]) ).

tcf(c_12868,negated_conjecture,
    ( iPr_def_25
    | iPr_def_17
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_347]) ).

tcf(c_12873,negated_conjecture,
    ( iPr_def_10
    | hskp2
    | hskp1 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_340]) ).

tcf(c_12874,negated_conjecture,
    ( iPr_def_11
    | hskp23
    | hskp5 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_337]) ).

tcf(c_12875,negated_conjecture,
    ( iPr_def_11
    | hskp16
    | hskp12 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_334]) ).

tcf(c_12877,negated_conjecture,
    ( iPr_def_36
    | hskp25
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_328]) ).

tcf(c_12881,negated_conjecture,
    ( iPr_def_29
    | hskp24
    | hskp10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_316]) ).

tcf(c_12885,negated_conjecture,
    ( iPr_def_12
    | hskp23
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_303]) ).

tcf(c_12894,negated_conjecture,
    ( iPr_def_12
    | iPr_def_11
    | iPr_def_10 ),
    inference(demodulation,[status(thm)],[c_12811]) ).

tcf(c_12898,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | iPr_def_13 ),
    inference(demodulation,[status(thm)],[c_12815]) ).

tcf(c_12914,negated_conjecture,
    ( iPr_def_23
    | iPr_def_21
    | iPr_def_17 ),
    inference(demodulation,[status(thm)],[c_12827]) ).

tcf(c_12915,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_23
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12826]) ).

tcf(c_12918,negated_conjecture,
    ( iPr_def_25
    | iPr_def_24
    | iPr_def_18 ),
    inference(demodulation,[status(thm)],[c_12830]) ).

tcf(c_12922,negated_conjecture,
    ( iPr_def_27
    | iPr_def_26
    | iPr_def_24 ),
    inference(demodulation,[status(thm)],[c_12833]) ).

tcf(c_12924,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_24
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_12828]) ).

tcf(c_12926,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_12836]) ).

tcf(c_12930,negated_conjecture,
    ( iPr_def_31
    | iPr_def_30
    | iPr_def_19 ),
    inference(demodulation,[status(thm)],[c_12839]) ).

tcf(c_12938,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12823]) ).

tcf(c_12943,negated_conjecture,
    ( iPr_def_35
    | iPr_def_18
    | hskp0 ),
    inference(demodulation,[status(thm)],[c_12847]) ).

tcf(c_12945,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_35
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_12846]) ).

tcf(c_12946,negated_conjecture,
    ( iPr_def_18
    | iPr_def_14
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_12848]) ).

tcf(c_12951,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | ~ iPr_def_13
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_12812]) ).

tcf(c_12952,negated_conjecture,
    ( iPr_def_27
    | iPr_def_10
    | hskp9 ),
    inference(demodulation,[status(thm)],[c_12850]) ).

tcf(c_12961,negated_conjecture,
    ( iPr_def_37
    | iPr_def_14
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_12855]) ).

tcf(c_12964,negated_conjecture,
    ( iPr_def_27
    | iPr_def_18
    | hskp2 ),
    inference(demodulation,[status(thm)],[c_12856]) ).

tcf(c_12966,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_18
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_12819]) ).

tcf(c_12970,negated_conjecture,
    ( iPr_def_29
    | iPr_def_27
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_12858]) ).

tcf(c_12971,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_27
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12832]) ).

tcf(c_12979,negated_conjecture,
    ( iPr_def_29
    | iPr_def_28
    | hskp19 ),
    inference(demodulation,[status(thm)],[c_12861]) ).

tcf(c_12981,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_28
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_12834]) ).

tcf(c_12984,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_30 ),
    inference(demodulation,[status(thm)],[c_12837]) ).

tcf(c_12987,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c0_1(X0)
      | ~ iPr_def_19
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_12820]) ).

tcf(c_12988,negated_conjecture,
    ( iPr_def_38
    | iPr_def_22
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_12865]) ).

tcf(c_12989,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_38
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_12864]) ).

tcf(c_12991,negated_conjecture,
    ( iPr_def_31
    | iPr_def_26
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_12866]) ).

tcf(c_12992,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_26
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(demodulation,[status(thm)],[c_12831]) ).

tcf(c_12994,negated_conjecture,
    ( iPr_def_32
    | iPr_def_31
    | hskp13 ),
    inference(demodulation,[status(thm)],[c_12867]) ).

tcf(c_12997,negated_conjecture,
    ( iPr_def_25
    | iPr_def_17
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_12868]) ).

tcf(c_12998,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | ~ iPr_def_17
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12817]) ).

tcf(c_12999,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c1_1(X0)
      | ~ iPr_def_25
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_12829]) ).

tcf(c_13005,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_31 ),
    inference(demodulation,[status(thm)],[c_12838]) ).

tcf(c_13006,negated_conjecture,
    ( iPr_def_10
    | hskp2
    | hskp1 ),
    inference(demodulation,[status(thm)],[c_12873]) ).

tcf(c_13007,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12808]) ).

tcf(c_13008,negated_conjecture,
    ( iPr_def_11
    | hskp23
    | hskp5 ),
    inference(demodulation,[status(thm)],[c_12874]) ).

tcf(c_13010,negated_conjecture,
    ( iPr_def_11
    | hskp16
    | hskp12 ),
    inference(demodulation,[status(thm)],[c_12875]) ).

tcf(c_13011,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12809]) ).

tcf(c_13013,negated_conjecture,
    ! [X0: $i] :
      ( c0_1(X0)
      | ~ iPr_def_32
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_12841]) ).

tcf(c_13014,negated_conjecture,
    ( iPr_def_36
    | hskp25
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_12877]) ).

tcf(c_13015,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_36
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12852]) ).

tcf(c_13017,negated_conjecture,
    ! [X0: $i] :
      ( c2_1(X0)
      | ~ iPr_def_15
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12814]) ).

tcf(c_13021,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_14
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12813]) ).

tcf(c_13022,negated_conjecture,
    ( iPr_def_29
    | hskp24
    | hskp10 ),
    inference(demodulation,[status(thm)],[c_12881]) ).

tcf(c_13023,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | ~ iPr_def_29
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12835]) ).

tcf(c_13025,negated_conjecture,
    ! [X0: $i] :
      ( c1_1(X0)
      | c0_1(X0)
      | ~ iPr_def_37
      | ~ c3_1(X0) ),
    inference(demodulation,[status(thm)],[c_12854]) ).

tcf(c_13029,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c0_1(X0)
      | ~ iPr_def_22
      | ~ c2_1(X0) ),
    inference(demodulation,[status(thm)],[c_12824]) ).

tcf(c_13030,negated_conjecture,
    ( iPr_def_12
    | hskp23
    | hskp16 ),
    inference(demodulation,[status(thm)],[c_12885]) ).

tcf(c_13033,negated_conjecture,
    ! [X0: $i] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ iPr_def_12
      | ~ c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_12810]) ).

tcf(c_13036,negated_conjecture,
    ! [X0: $i] :
      ( hskp1
      | c3_1(X0)
      | c1_1(X0)
      | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_292]) ).

tcf(c_13037,negated_conjecture,
    ! [X0: $i] :
      ( hskp6
      | c2_1(X0)
      | c3_1(X0)
      | c0_1(X0) ),
    inference(demodulation,[status(thm)],[c_296]) ).

tcf(c_13116,plain,
    ( c2_1(a188)
    | c3_1(a188)
    | c1_1(a188)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_13005]) ).

tcf(c_13126,plain,
    ( c3_1(a188)
    | c1_1(a188)
    | ~ iPr_def_28
    | ~ c2_1(a188) ),
    inference(instantiation,[status(thm)],[c_12981]) ).

tcf(c_13147,plain,
    ( c1_1(a199)
    | c0_1(a199)
    | ~ iPr_def_24
    | ~ c2_1(a199) ),
    inference(instantiation,[status(thm)],[c_12924]) ).

tcf(c_13156,plain,
    ( c0_1(a215)
    | ~ iPr_def_18
    | ~ c2_1(a215)
    | ~ c1_1(a215) ),
    inference(instantiation,[status(thm)],[c_12966]) ).

tcf(c_13159,plain,
    ( c2_1(a209)
    | c0_1(a209)
    | ~ iPr_def_19
    | ~ c3_1(a209) ),
    inference(instantiation,[status(thm)],[c_12987]) ).

tcf(c_13161,plain,
    ( c2_1(a225)
    | c0_1(a225)
    | ~ iPr_def_19
    | ~ c3_1(a225) ),
    inference(instantiation,[status(thm)],[c_12987]) ).

tcf(c_13166,plain,
    ( c2_1(a195)
    | c3_1(a195)
    | ~ iPr_def_17
    | ~ c0_1(a195) ),
    inference(instantiation,[status(thm)],[c_12998]) ).

tcf(c_13174,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a189)
    | ~ c1_1(a189)
    | ~ c0_1(a189) ),
    inference(instantiation,[status(thm)],[c_13007]) ).

tcf(c_13175,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a215)
    | ~ c1_1(a215)
    | ~ c0_1(a215) ),
    inference(instantiation,[status(thm)],[c_13007]) ).

tcf(c_13176,plain,
    ( c3_1(a190)
    | ~ iPr_def_14
    | ~ c1_1(a190)
    | ~ c0_1(a190) ),
    inference(instantiation,[status(thm)],[c_13021]) ).

tcf(c_13181,plain,
    ( c3_1(a230)
    | ~ iPr_def_14
    | ~ c1_1(a230)
    | ~ c0_1(a230) ),
    inference(instantiation,[status(thm)],[c_13021]) ).

tcf(c_13190,plain,
    ( c2_1(a190)
    | c1_1(a190)
    | ~ iPr_def_27
    | ~ c0_1(a190) ),
    inference(instantiation,[status(thm)],[c_12971]) ).

tcf(c_13191,plain,
    ( c2_1(a194)
    | c1_1(a194)
    | ~ iPr_def_27
    | ~ c0_1(a194) ),
    inference(instantiation,[status(thm)],[c_12971]) ).

tcf(c_13192,plain,
    ( c2_1(a195)
    | c1_1(a195)
    | ~ iPr_def_27
    | ~ c0_1(a195) ),
    inference(instantiation,[status(thm)],[c_12971]) ).

tcf(c_13193,plain,
    ( c2_1(a200)
    | c1_1(a200)
    | ~ iPr_def_27
    | ~ c0_1(a200) ),
    inference(instantiation,[status(thm)],[c_12971]) ).

tcf(c_13211,plain,
    ( c3_1(a190)
    | ~ iPr_def_29
    | ~ c2_1(a190)
    | ~ c0_1(a190) ),
    inference(instantiation,[status(thm)],[c_13023]) ).

tcf(c_13216,plain,
    ( c3_1(a230)
    | ~ iPr_def_29
    | ~ c2_1(a230)
    | ~ c0_1(a230) ),
    inference(instantiation,[status(thm)],[c_13023]) ).

tcf(c_13217,plain,
    ( ~ iPr_def_21
    | ~ c2_1(a190)
    | ~ c1_1(a190)
    | ~ c0_1(a190) ),
    inference(instantiation,[status(thm)],[c_12938]) ).

tcf(c_13232,plain,
    ( ~ iPr_def_11
    | ~ c2_1(a200)
    | ~ c3_1(a200)
    | ~ c0_1(a200) ),
    inference(instantiation,[status(thm)],[c_13011]) ).

tcf(c_13236,plain,
    ( ~ iPr_def_11
    | ~ c2_1(a189)
    | ~ c3_1(a189)
    | ~ c0_1(a189) ),
    inference(instantiation,[status(thm)],[c_13011]) ).

tcf(c_13237,plain,
    ( ~ iPr_def_11
    | ~ c2_1(a215)
    | ~ c3_1(a215)
    | ~ c0_1(a215) ),
    inference(instantiation,[status(thm)],[c_13011]) ).

tcf(c_13246,plain,
    ( c3_1(a214)
    | c0_1(a214)
    | ~ iPr_def_22
    | ~ c2_1(a214) ),
    inference(instantiation,[status(thm)],[c_13029]) ).

tcf(c_13252,plain,
    ( c2_1(a189)
    | ~ iPr_def_36
    | ~ c1_1(a189)
    | ~ c0_1(a189) ),
    inference(instantiation,[status(thm)],[c_13015]) ).

tcf(c_13254,plain,
    ( c3_1(a190)
    | c1_1(a190)
    | ~ iPr_def_12
    | ~ c0_1(a190) ),
    inference(instantiation,[status(thm)],[c_13033]) ).

tcf(c_13255,plain,
    ( c3_1(a195)
    | c1_1(a195)
    | ~ iPr_def_12
    | ~ c0_1(a195) ),
    inference(instantiation,[status(thm)],[c_13033]) ).

tcf(c_13324,plain,
    ( c0_1(a209)
    | ~ iPr_def_26
    | ~ c3_1(a209)
    | ~ c1_1(a209) ),
    inference(instantiation,[status(thm)],[c_12992]) ).

tcf(c_13327,plain,
    ( c0_1(a215)
    | ~ iPr_def_26
    | ~ c3_1(a215)
    | ~ c1_1(a215) ),
    inference(instantiation,[status(thm)],[c_12992]) ).

tcf(c_13366,plain,
    ( c2_1(a221)
    | c0_1(a221)
    | ~ iPr_def_19
    | ~ c3_1(a221) ),
    inference(instantiation,[status(thm)],[c_12987]) ).

tcf(c_13372,plain,
    ( c2_1(a221)
    | c1_1(a221)
    | ~ iPr_def_25
    | ~ c3_1(a221) ),
    inference(instantiation,[status(thm)],[c_12999]) ).

tcf(c_13374,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a190)
    | ~ c1_1(a190)
    | ~ c0_1(a190) ),
    inference(instantiation,[status(thm)],[c_13007]) ).

tcf(c_13378,plain,
    ( ~ iPr_def_10
    | ~ c3_1(a230)
    | ~ c1_1(a230)
    | ~ c0_1(a230) ),
    inference(instantiation,[status(thm)],[c_13007]) ).

tcf(c_13379,plain,
    ( ~ iPr_def_11
    | ~ c2_1(a190)
    | ~ c3_1(a190)
    | ~ c0_1(a190) ),
    inference(instantiation,[status(thm)],[c_13011]) ).

tcf(c_13383,plain,
    ( ~ iPr_def_11
    | ~ c2_1(a230)
    | ~ c3_1(a230)
    | ~ c0_1(a230) ),
    inference(instantiation,[status(thm)],[c_13011]) ).

tcf(c_13414,plain,
    ( c2_1(a189)
    | ~ iPr_def_35
    | ~ c3_1(a189)
    | ~ c1_1(a189) ),
    inference(instantiation,[status(thm)],[c_12945]) ).

tcf(c_13420,plain,
    ( c2_1(a221)
    | c3_1(a221)
    | c1_1(a221)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_13005]) ).

tcf(c_13443,plain,
    ( c2_1(a191)
    | c3_1(a191)
    | c1_1(a191)
    | ~ iPr_def_31 ),
    inference(instantiation,[status(thm)],[c_13005]) ).

tcf(c_13499,plain,
    ( c0_1(a209)
    | ~ iPr_def_18
    | ~ c2_1(a209)
    | ~ c1_1(a209) ),
    inference(instantiation,[status(thm)],[c_12966]) ).

tcf(c_13506,plain,
    ( c3_1(a195)
    | c1_1(a195)
    | ~ iPr_def_28
    | ~ c2_1(a195) ),
    inference(instantiation,[status(thm)],[c_12981]) ).

tcf(c_13508,plain,
    ( c3_1(a214)
    | c1_1(a214)
    | ~ iPr_def_28
    | ~ c2_1(a214) ),
    inference(instantiation,[status(thm)],[c_12981]) ).

tcf(c_13512,plain,
    ( hskp1
    | c3_1(a191)
    | c1_1(a191)
    | c0_1(a191) ),
    inference(instantiation,[status(thm)],[c_13036]) ).

tcf(c_13517,plain,
    ( hskp1
    | c3_1(a214)
    | c1_1(a214)
    | c0_1(a214) ),
    inference(instantiation,[status(thm)],[c_13036]) ).

tcf(c_13526,plain,
    ( c2_1(a221)
    | c1_1(a221)
    | c0_1(a221)
    | ~ iPr_def_30 ),
    inference(instantiation,[status(thm)],[c_12984]) ).

tcf(c_13584,plain,
    ( c2_1(a189)
    | ~ iPr_def_15
    | ~ c3_1(a189)
    | ~ c0_1(a189) ),
    inference(instantiation,[status(thm)],[c_13017]) ).

tcf(c_13602,plain,
    ( hskp6
    | c2_1(a191)
    | c3_1(a191)
    | c0_1(a191) ),
    inference(instantiation,[status(thm)],[c_13037]) ).

tcf(c_13606,plain,
    ( hskp6
    | c2_1(a206)
    | c3_1(a206)
    | c0_1(a206) ),
    inference(instantiation,[status(thm)],[c_13037]) ).

tcf(c_13654,plain,
    ( c0_1(a214)
    | ~ iPr_def_18
    | ~ c2_1(a214)
    | ~ c1_1(a214) ),
    inference(instantiation,[status(thm)],[c_12966]) ).

tcf(c_13658,plain,
    ( c3_1(a214)
    | c0_1(a214)
    | ~ iPr_def_38
    | ~ c1_1(a214) ),
    inference(instantiation,[status(thm)],[c_12989]) ).

tcf(c_13694,plain,
    ( hskp6
    | c2_1(a221)
    | c3_1(a221)
    | c0_1(a221) ),
    inference(instantiation,[status(thm)],[c_13037]) ).

tcf(c_13695,plain,
    ( hskp1
    | c3_1(a221)
    | c1_1(a221)
    | c0_1(a221) ),
    inference(instantiation,[status(thm)],[c_13036]) ).

tcf(c_13751,plain,
    ( c3_1(a191)
    | c1_1(a191)
    | ~ iPr_def_12
    | ~ c0_1(a191) ),
    inference(instantiation,[status(thm)],[c_13033]) ).

tcf(c_13755,plain,
    ( c2_1(a191)
    | c1_1(a191)
    | ~ iPr_def_27
    | ~ c0_1(a191) ),
    inference(instantiation,[status(thm)],[c_12971]) ).

tcf(c_13757,plain,
    ( c2_1(a191)
    | c3_1(a191)
    | ~ iPr_def_17
    | ~ c0_1(a191) ),
    inference(instantiation,[status(thm)],[c_12998]) ).

tcf(c_13801,plain,
    ( c3_1(a199)
    | c1_1(a199)
    | ~ iPr_def_28
    | ~ c2_1(a199) ),
    inference(instantiation,[status(thm)],[c_12981]) ).

tcf(c_13879,plain,
    ( c1_1(a199)
    | c0_1(a199)
    | ~ iPr_def_37
    | ~ c3_1(a199) ),
    inference(instantiation,[status(thm)],[c_13025]) ).

tcf(c_13882,plain,
    ( c1_1(a221)
    | c0_1(a221)
    | ~ iPr_def_37
    | ~ c3_1(a221) ),
    inference(instantiation,[status(thm)],[c_13025]) ).

tcf(c_13883,plain,
    ( c1_1(a225)
    | c0_1(a225)
    | ~ iPr_def_37
    | ~ c3_1(a225) ),
    inference(instantiation,[status(thm)],[c_13025]) ).

tcf(c_13965,plain,
    ( c1_1(a225)
    | c0_1(a225)
    | ~ iPr_def_24
    | ~ c2_1(a225) ),
    inference(instantiation,[status(thm)],[c_12924]) ).

tcf(c_13981,plain,
    ( c1_1(a195)
    | ~ iPr_def_23
    | ~ c0_1(a195) ),
    inference(instantiation,[status(thm)],[c_12915]) ).

tcf(c_13999,plain,
    ( c1_1(a225)
    | ~ iPr_def_13
    | ~ c2_1(a225)
    | ~ c3_1(a225) ),
    inference(instantiation,[status(thm)],[c_12951]) ).

tcf(c_14064,plain,
    ( c0_1(a199)
    | ~ iPr_def_32
    | ~ c2_1(a199)
    | ~ c3_1(a199) ),
    inference(instantiation,[status(thm)],[c_13013]) ).

tcf(c_14072,plain,
    ( c0_1(a225)
    | ~ iPr_def_32
    | ~ c2_1(a225)
    | ~ c3_1(a225) ),
    inference(instantiation,[status(thm)],[c_13013]) ).

tcf(c_14098,plain,
    ( c3_1(a190)
    | c1_1(a190)
    | ~ iPr_def_28
    | ~ c2_1(a190) ),
    inference(instantiation,[status(thm)],[c_12981]) ).

tcf(c_14140,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14098,c_14072,c_14064,c_13999,c_13981,c_13965,c_13883,c_13882,c_13879,c_13801,c_13751,c_13755,c_13757,c_13694,c_13695,c_13654,c_13658,c_13606,c_13602,c_13584,c_13526,c_13517,c_13512,c_13508,c_13506,c_13499,c_13443,c_13420,c_13414,c_13383,c_13379,c_13378,c_13374,c_13372,c_13366,c_13327,c_13324,c_13255,c_13254,c_13252,c_13246,c_13237,c_13236,c_13232,c_13217,c_13216,c_13211,c_13193,c_13192,c_13191,c_13190,c_13181,c_13176,c_13175,c_13174,c_13166,c_13161,c_13159,c_13156,c_13147,c_13126,c_13116,c_13030,c_13022,c_13014,c_13010,c_13008,c_13006,c_12997,c_12994,c_12991,c_12988,c_12979,c_12970,c_12964,c_12961,c_12952,c_12946,c_12943,c_12930,c_12926,c_12922,c_12918,c_12914,c_12898,c_12894,c_6554,c_6544,c_6171,c_6161,c_6151,c_6114,c_6107,c_6100,c_4434,c_4424,c_4414,c_235,c_51,c_52,c_56,c_58,c_59,c_60,c_71,c_72,c_75,c_76,c_87,c_88,c_92,c_98,c_99,c_100,c_104,c_114,c_115,c_116,c_127,c_128,c_54,c_55,c_70,c_74,c_86,c_90,c_91,c_102,c_103,c_126,c_142,c_143,c_144,c_146,c_147,c_148,c_150,c_151,c_152,c_207]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN459+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.39  % Computer : n018.cluster.edu
% 0.10/5.39  % Model    : x86_64 x86_64
% 0.10/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39  % Memory   : 8046.5625MB
% 0.10/5.39  % OS       : Linux 6.8.0-71-generic
% 0.10/5.39  % CPULimit : 300
% 0.10/5.39  % WCLimit  : 300
% 0.10/5.39  % DateTime : Fri Sep 25 01:20:40 UTC 2026
% 0.10/5.39  % CPUTime  : 
% 0.10/5.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.43  Running first-order theorem proving
% 0.14/5.43  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.44  
% 0.14/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.44  
% 0.14/5.44  % Detected problem language: tptp
% 0.14/5.45  % Proving...
% 4.19/6.31  % SZS status Started for theBenchmark.p
% 4.19/6.31  % SZS status Theorem for theBenchmark.p
% 4.19/6.31  
% 4.19/6.31  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.19/6.31  
% 4.19/6.31  % ------  iProver source info
% 4.19/6.31  
% 4.19/6.31  % git: date: 2026-07-19 20:42:38 +0200
% 4.19/6.31  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.19/6.31  % git: non_committed_changes: false
% 4.19/6.31  
% 4.19/6.31  % ------ Parsing...
% 4.19/6.31  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.19/6.31  % 
% 4.19/6.31  
% 4.19/6.31  % ------ 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 % 
% 4.19/6.31  
% 4.19/6.31  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 4.19/6.31   gs_s  sp: 93 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.19/6.31  % ------ Proving...
% 4.19/6.31  % ------ Problem Properties 
% 4.19/6.31  
% 4.19/6.31  % 
% 4.19/6.31  % clauses                               165
% 4.19/6.31  % conjectures                           159
% 4.19/6.31  % EPR                                   165
% 4.19/6.31  % Horn                                  88
% 4.19/6.31  % unary                                 0
% 4.19/6.31  % binary                                73
% 4.19/6.31  % lits                                  454
% 4.19/6.31  % lits eq                               0
% 4.19/6.31  % fd_pure                               0
% 4.19/6.31  % fd_pseudo                             0
% 4.19/6.31  % fd_cond                               0
% 4.19/6.31  % fd_pseudo_cond                        0
% 4.19/6.31  % AC symbols                            0
% 4.19/6.31  
% 4.19/6.31  % ------ Schedule EPR non Horn non eq is on
% 4.19/6.31  
% 4.19/6.31  % ------ no equalities: superposition off 
% 4.19/6.31  
% 4.19/6.31  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 4.19/6.31  
% 4.19/6.31  
% 4.19/6.31  % ------ 
% 4.19/6.31  % Current options:
% 4.19/6.31  % ------ 
% 4.19/6.31  
% 4.19/6.31  
% 4.19/6.31  % 
% 4.19/6.31  
% 4.19/6.31  % ------ Proving...
% 4.19/6.31  % 
% 4.19/6.31  
% 4.19/6.31  % SZS status Theorem for theBenchmark.p
% 4.19/6.31  
% 4.19/6.31  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.19/6.32  
% 4.19/6.32  
%------------------------------------------------------------------------------