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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN436+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 : Tue Sep 29 02:07:53 PM UTC 2026

% Result   : Theorem 0.21s 0.34s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c3_1(a1)
          & ~ c0_1(a1)
          & ~ c2_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a2)
          & ~ c0_1(a2)
          & ~ c3_1(a2) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a4)
          & ~ c2_1(a4)
          & ~ c3_1(a4) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c1_1(a5)
          & ~ c2_1(a5)
          & ~ c3_1(a5) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a6)
          & c3_1(a6)
          & ~ c2_1(a6) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c1_1(a7)
          & c3_1(a7)
          & ~ c0_1(a7) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a8)
          & c1_1(a8)
          & ~ c2_1(a8) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a14)
          & c3_1(a14)
          & ~ c2_1(a14) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a15)
          & ~ c1_1(a15)
          & ~ c2_1(a15) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a16)
          & ~ c2_1(a16)
          & ~ c3_1(a16) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a18)
          & c2_1(a18)
          & ~ c3_1(a18) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a19)
          & ~ c1_1(a19)
          & ~ c3_1(a19) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & ~ c0_1(a21)
          & ~ c1_1(a21)
          & ~ c2_1(a21) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c0_1(a22)
          & ~ c2_1(a22)
          & ~ c3_1(a22) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a24)
          & ~ c0_1(a24)
          & ~ c1_1(a24) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a25)
          & c1_1(a25)
          & ~ c3_1(a25) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a30)
          & ~ c0_1(a30)
          & ~ c2_1(a30) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a31)
          & c2_1(a31)
          & ~ c1_1(a31) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & ~ c0_1(a32)
          & ~ c1_1(a32)
          & ~ c3_1(a32) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a33)
          & c3_1(a33)
          & ~ c0_1(a33) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a37)
          & ~ c0_1(a37)
          & ~ c3_1(a37) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a42)
          & c3_1(a42)
          & ~ c1_1(a42) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a45)
          & ~ c1_1(a45)
          & ~ c3_1(a45) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a53)
          & ~ c0_1(a53)
          & ~ c1_1(a53) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a3)
          & c2_1(a3)
          & c3_1(a3) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a9)
          & c1_1(a9)
          & c2_1(a9) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a10)
          & c2_1(a10)
          & c3_1(a10) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a11)
          & c1_1(a11)
          & c3_1(a11) ) )
      & ( ! [X0] :
            ( ndr1_0
           => ( c0_1(X0)
              | c1_1(X0)
              | c2_1(X0) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c2_1(X1)
              | c3_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c3_1(X2) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c0_1(X4)
              | ~ c2_1(X4) ) )
        | hskp0 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | ~ c1_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | ~ c3_1(X8) ) )
        | hskp1 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | ~ c0_1(X10)
              | ~ c1_1(X10) ) )
        | hskp24 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c3_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | ~ c2_1(X13)
              | ~ c3_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | c3_1(X15)
              | ~ c0_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | c3_1(X16)
              | ~ c1_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | hskp2
        | hskp3 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c3_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | c2_1(X19)
              | ~ c0_1(X19) ) )
        | hskp4 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c2_1(X20)
              | c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c3_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c3_1(X24)
              | ~ c0_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c1_1(X25)
              | ~ c3_1(X25) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | ~ c1_1(X27)
              | ~ c2_1(X27) ) )
        | hskp5 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c2_1(X29)
              | ~ c3_1(X29) ) )
        | hskp6 )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | c3_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | ~ c1_1(X32)
              | ~ c2_1(X32) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c2_1(X33) ) )
        | hskp25
        | hskp26 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | ~ c1_1(X34)
              | ~ c2_1(X34) ) )
        | hskp27
        | hskp26 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | ~ c1_1(X35)
              | ~ c2_1(X35) ) )
        | hskp27
        | hskp7 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | ~ c1_1(X36)
              | ~ c2_1(X36) ) )
        | hskp8
        | hskp9 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | ~ c1_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c1_1(X38)
              | c3_1(X38)
              | ~ c0_1(X38) ) )
        | hskp4 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | ~ c1_1(X39)
              | ~ c3_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c2_1(X40)
              | ~ c3_1(X40) ) )
        | hskp10 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c3_1(X42)
              | ~ c0_1(X42)
              | ~ c2_1(X42) ) )
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp27
        | hskp12 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c1_1(X44)
              | c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | hskp13 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c1_1(X46)
              | c2_1(X46)
              | ~ c0_1(X46) ) )
        | hskp2
        | hskp14 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c3_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | ~ c0_1(X48)
              | ~ c3_1(X48) ) )
        | hskp15 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | ~ c2_1(X50)
              | ~ c3_1(X50) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | hskp6
        | hskp26 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | hskp7 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) ) )
      & ( ! [X56] :
            ( ndr1_0
           => ( c2_1(X56)
              | c3_1(X56)
              | ~ c0_1(X56) ) )
        | hskp26
        | hskp16 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c0_1(X57)
              | ~ c3_1(X57) ) )
        | hskp17
        | hskp18 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c2_1(X58)
              | ~ c1_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | ~ c1_1(X59)
              | ~ c2_1(X59) ) )
        | hskp19 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c2_1(X60)
              | ~ c1_1(X60)
              | ~ c3_1(X60) ) )
        | hskp9
        | hskp24 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c3_1(X61)
              | ~ c0_1(X61)
              | ~ c2_1(X61) ) )
        | hskp26
        | hskp20 )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c0_1(X62)
              | ~ c1_1(X62)
              | ~ c2_1(X62) ) )
        | hskp6
        | hskp10 )
      & ( hskp25
        | hskp17
        | hskp21 )
      & ( hskp6
        | hskp26
        | hskp22 )
      & ( hskp17
        | hskp8
        | hskp4 )
      & ( hskp7
        | hskp9
        | hskp13 )
      & ( hskp24
        | hskp23
        | hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c3_1(a1)
            & ~ c0_1(a1)
            & ~ c2_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a2)
            & ~ c0_1(a2)
            & ~ c3_1(a2) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a4)
            & ~ c2_1(a4)
            & ~ c3_1(a4) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c1_1(a5)
            & ~ c2_1(a5)
            & ~ c3_1(a5) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a6)
            & c3_1(a6)
            & ~ c2_1(a6) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c1_1(a7)
            & c3_1(a7)
            & ~ c0_1(a7) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a8)
            & c1_1(a8)
            & ~ c2_1(a8) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a14)
            & c3_1(a14)
            & ~ c2_1(a14) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a15)
            & ~ c1_1(a15)
            & ~ c2_1(a15) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a16)
            & ~ c2_1(a16)
            & ~ c3_1(a16) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a18)
            & c2_1(a18)
            & ~ c3_1(a18) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a19)
            & ~ c1_1(a19)
            & ~ c3_1(a19) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & ~ c0_1(a21)
            & ~ c1_1(a21)
            & ~ c2_1(a21) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c0_1(a22)
            & ~ c2_1(a22)
            & ~ c3_1(a22) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a24)
            & ~ c0_1(a24)
            & ~ c1_1(a24) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a25)
            & c1_1(a25)
            & ~ c3_1(a25) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a30)
            & ~ c0_1(a30)
            & ~ c2_1(a30) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a31)
            & c2_1(a31)
            & ~ c1_1(a31) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & ~ c0_1(a32)
            & ~ c1_1(a32)
            & ~ c3_1(a32) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a33)
            & c3_1(a33)
            & ~ c0_1(a33) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a37)
            & ~ c0_1(a37)
            & ~ c3_1(a37) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a42)
            & c3_1(a42)
            & ~ c1_1(a42) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a45)
            & ~ c1_1(a45)
            & ~ c3_1(a45) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a53)
            & ~ c0_1(a53)
            & ~ c1_1(a53) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a3)
            & c2_1(a3)
            & c3_1(a3) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a9)
            & c1_1(a9)
            & c2_1(a9) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a10)
            & c2_1(a10)
            & c3_1(a10) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a11)
            & c1_1(a11)
            & c3_1(a11) ) )
        & ( ! [X0] :
              ( ndr1_0
             => ( c0_1(X0)
                | c1_1(X0)
                | c2_1(X0) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c2_1(X1)
                | c3_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | ~ c2_1(X4) ) )
          | hskp0 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | ~ c3_1(X8) ) )
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) )
          | hskp24 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | ~ c2_1(X13)
                | ~ c3_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | c3_1(X15)
                | ~ c0_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | c3_1(X16)
                | ~ c1_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | hskp2
          | hskp3 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c3_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | c2_1(X19)
                | ~ c0_1(X19) ) )
          | hskp4 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c2_1(X20)
                | c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c3_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c3_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c1_1(X25)
                | ~ c3_1(X25) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) )
          | hskp5 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c2_1(X29)
                | ~ c3_1(X29) ) )
          | hskp6 )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | c3_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | ~ c1_1(X32)
                | ~ c2_1(X32) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c2_1(X33) ) )
          | hskp25
          | hskp26 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | ~ c1_1(X34)
                | ~ c2_1(X34) ) )
          | hskp27
          | hskp26 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | ~ c1_1(X35)
                | ~ c2_1(X35) ) )
          | hskp27
          | hskp7 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | ~ c1_1(X36)
                | ~ c2_1(X36) ) )
          | hskp8
          | hskp9 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | ~ c1_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c1_1(X38)
                | c3_1(X38)
                | ~ c0_1(X38) ) )
          | hskp4 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | ~ c1_1(X39)
                | ~ c3_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c2_1(X40)
                | ~ c3_1(X40) ) )
          | hskp10 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c0_1(X42)
                | ~ c2_1(X42) ) )
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp27
          | hskp12 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c1_1(X44)
                | c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | hskp13 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c2_1(X46)
                | ~ c0_1(X46) ) )
          | hskp2
          | hskp14 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | ~ c0_1(X48)
                | ~ c3_1(X48) ) )
          | hskp15 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | ~ c2_1(X50)
                | ~ c3_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | hskp6
          | hskp26 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | hskp7 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c2_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) )
          | hskp26
          | hskp16 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c0_1(X57)
                | ~ c3_1(X57) ) )
          | hskp17
          | hskp18 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c2_1(X58)
                | ~ c1_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | ~ c1_1(X59)
                | ~ c2_1(X59) ) )
          | hskp19 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c2_1(X60)
                | ~ c1_1(X60)
                | ~ c3_1(X60) ) )
          | hskp9
          | hskp24 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c3_1(X61)
                | ~ c0_1(X61)
                | ~ c2_1(X61) ) )
          | hskp26
          | hskp20 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | ~ c1_1(X62)
                | ~ c2_1(X62) ) )
          | hskp6
          | hskp10 )
        & ( hskp25
          | hskp17
          | hskp21 )
        & ( hskp6
          | hskp26
          | hskp22 )
        & ( hskp17
          | hskp8
          | hskp4 )
        & ( hskp7
          | hskp9
          | hskp13 )
        & ( hskp24
          | hskp23
          | hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a1)
        & ~ c0_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2)
        & ~ c0_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a4)
        & ~ c2_1(a4)
        & ~ c3_1(a4) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a5)
        & ~ c2_1(a5)
        & ~ c3_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a8)
        & c1_1(a8)
        & ~ c2_1(a8) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a14)
        & c3_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & ~ c2_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c1_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a21)
        & ~ c1_1(a21)
        & ~ c2_1(a21) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a22)
        & ~ c2_1(a22)
        & ~ c3_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c3_1(a25) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a30)
        & ~ c0_1(a30)
        & ~ c2_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a31)
        & c2_1(a31)
        & ~ c1_1(a31) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a32)
        & ~ c1_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a33)
        & c3_1(a33)
        & ~ c0_1(a33) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & ~ c0_1(a37)
        & ~ c3_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a42)
        & c3_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a45)
        & ~ c1_1(a45)
        & ~ c3_1(a45) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a53)
        & ~ c0_1(a53)
        & ~ c1_1(a53) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a3)
        & c2_1(a3)
        & c3_1(a3) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a9)
        & c1_1(a9)
        & c2_1(a9) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a10)
        & c2_1(a10)
        & c3_1(a10) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) ) )
    & ( ! [X0] :
          ( ndr1_0
         => ( c0_1(X0)
            | c1_1(X0)
            | c2_1(X0) ) )
      | ! [X1] :
          ( ndr1_0
         => ( c0_1(X1)
            | c2_1(X1)
            | c3_1(X1) ) )
      | ! [X2] :
          ( ndr1_0
         => ( c0_1(X2)
            | c2_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c0_1(X3)
            | c1_1(X3)
            | c2_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c0_1(X4)
            | ~ c2_1(X4) ) )
      | hskp0 )
    & ( ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c1_1(X5)
            | c3_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( c0_1(X6)
            | ~ c1_1(X6)
            | ~ c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( c0_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c1_1(X8)
            | ~ c2_1(X8)
            | ~ c3_1(X8) ) )
      | hskp1 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c0_1(X9)
            | c1_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | ~ c0_1(X10)
            | ~ c1_1(X10) ) )
      | hskp24 )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | c1_1(X11)
            | ~ c2_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c1_1(X13)
            | ~ c2_1(X13)
            | ~ c3_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | c3_1(X15)
            | ~ c0_1(X15) ) )
      | ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | c3_1(X16)
            | ~ c1_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | c1_1(X17)
            | ~ c2_1(X17) ) )
      | hskp2
      | hskp3 )
    & ( ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | c1_1(X18)
            | ~ c3_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( c1_1(X19)
            | c2_1(X19)
            | ~ c0_1(X19) ) )
      | hskp4 )
    & ( ! [X20] :
          ( ndr1_0
         => ( c0_1(X20)
            | c2_1(X20)
            | c3_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c0_1(X21)
            | c3_1(X21)
            | ~ c2_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( c1_1(X22)
            | c2_1(X22)
            | c3_1(X22) ) ) )
    & ( ! [X23] :
          ( ndr1_0
         => ( c0_1(X23)
            | c2_1(X23)
            | c3_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c1_1(X24)
            | c3_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( c2_1(X25)
            | ~ c1_1(X25)
            | ~ c3_1(X25) ) ) )
    & ( ! [X26] :
          ( ndr1_0
         => ( c0_1(X26)
            | c2_1(X26)
            | ~ c1_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) )
      | hskp5 )
    & ( ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c2_1(X28)
            | ~ c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c1_1(X29)
            | ~ c2_1(X29)
            | ~ c3_1(X29) ) )
      | hskp6 )
    & ( ! [X30] :
          ( ndr1_0
         => ( c0_1(X30)
            | c3_1(X30)
            | ~ c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( c2_1(X31)
            | c3_1(X31)
            | ~ c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | ~ c1_1(X32)
            | ~ c2_1(X32) ) ) )
    & ( ! [X33] :
          ( ndr1_0
         => ( c0_1(X33)
            | c3_1(X33)
            | ~ c2_1(X33) ) )
      | hskp25
      | hskp26 )
    & ( ! [X34] :
          ( ndr1_0
         => ( c0_1(X34)
            | ~ c1_1(X34)
            | ~ c2_1(X34) ) )
      | hskp27
      | hskp26 )
    & ( ! [X35] :
          ( ndr1_0
         => ( c0_1(X35)
            | ~ c1_1(X35)
            | ~ c2_1(X35) ) )
      | hskp27
      | hskp7 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c0_1(X36)
            | ~ c1_1(X36)
            | ~ c2_1(X36) ) )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | ~ c1_1(X37)
            | ~ c3_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( c1_1(X38)
            | c3_1(X38)
            | ~ c0_1(X38) ) )
      | hskp4 )
    & ( ! [X39] :
          ( ndr1_0
         => ( c0_1(X39)
            | ~ c1_1(X39)
            | ~ c3_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c1_1(X40)
            | ~ c2_1(X40)
            | ~ c3_1(X40) ) )
      | hskp10 )
    & ( ! [X41] :
          ( ndr1_0
         => ( c0_1(X41)
            | ~ c2_1(X41)
            | ~ c3_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c0_1(X42)
            | ~ c2_1(X42) ) )
      | hskp11 )
    & ( ! [X43] :
          ( ndr1_0
         => ( c0_1(X43)
            | ~ c2_1(X43)
            | ~ c3_1(X43) ) )
      | hskp27
      | hskp12 )
    & ( ! [X44] :
          ( ndr1_0
         => ( c1_1(X44)
            | c2_1(X44)
            | ~ c0_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c0_1(X45)
            | ~ c3_1(X45) ) )
      | hskp13 )
    & ( ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c2_1(X46)
            | ~ c0_1(X46) ) )
      | hskp2
      | hskp14 )
    & ( ! [X47] :
          ( ndr1_0
         => ( c1_1(X47)
            | c2_1(X47)
            | ~ c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c2_1(X48)
            | ~ c0_1(X48)
            | ~ c3_1(X48) ) )
      | hskp15 )
    & ( ! [X49] :
          ( ndr1_0
         => ( c1_1(X49)
            | c3_1(X49)
            | ~ c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | ~ c2_1(X50)
            | ~ c3_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( c1_1(X51)
            | c3_1(X51)
            | ~ c2_1(X51) ) )
      | hskp6
      | hskp26 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c1_1(X52)
            | c3_1(X52)
            | ~ c2_1(X52) ) )
      | hskp7 )
    & ( ! [X53] :
          ( ndr1_0
         => ( c2_1(X53)
            | c3_1(X53)
            | ~ c0_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( c2_1(X54)
            | c3_1(X54)
            | ~ c1_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c0_1(X55)
            | ~ c2_1(X55)
            | ~ c3_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c2_1(X56)
            | c3_1(X56)
            | ~ c0_1(X56) ) )
      | hskp26
      | hskp16 )
    & ( ! [X57] :
          ( ndr1_0
         => ( c2_1(X57)
            | ~ c0_1(X57)
            | ~ c3_1(X57) ) )
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( ndr1_0
         => ( c2_1(X58)
            | ~ c1_1(X58)
            | ~ c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c0_1(X59)
            | ~ c1_1(X59)
            | ~ c2_1(X59) ) )
      | hskp19 )
    & ( ! [X60] :
          ( ndr1_0
         => ( c2_1(X60)
            | ~ c1_1(X60)
            | ~ c3_1(X60) ) )
      | hskp9
      | hskp24 )
    & ( ! [X61] :
          ( ndr1_0
         => ( c3_1(X61)
            | ~ c0_1(X61)
            | ~ c2_1(X61) ) )
      | hskp26
      | hskp20 )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | ~ c1_1(X62)
            | ~ c2_1(X62) ) )
      | hskp6
      | hskp10 )
    & ( hskp25
      | hskp17
      | hskp21 )
    & ( hskp6
      | hskp26
      | hskp22 )
    & ( hskp17
      | hskp8
      | hskp4 )
    & ( hskp7
      | hskp9
      | hskp13 )
    & ( hskp24
      | hskp23
      | hskp0 ) ),
    inference(flattening,[],[f2]) ).

fof(f4,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a1)
        & ~ c0_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2)
        & ~ c0_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a4)
        & ~ c2_1(a4)
        & ~ c3_1(a4) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a5)
        & ~ c2_1(a5)
        & ~ c3_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a8)
        & c1_1(a8)
        & ~ c2_1(a8) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a14)
        & c3_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & ~ c2_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c1_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a21)
        & ~ c1_1(a21)
        & ~ c2_1(a21) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a22)
        & ~ c2_1(a22)
        & ~ c3_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c3_1(a25) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a30)
        & ~ c0_1(a30)
        & ~ c2_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a31)
        & c2_1(a31)
        & ~ c1_1(a31) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a32)
        & ~ c1_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a33)
        & c3_1(a33)
        & ~ c0_1(a33) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & ~ c0_1(a37)
        & ~ c3_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a42)
        & c3_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a45)
        & ~ c1_1(a45)
        & ~ c3_1(a45) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a53)
        & ~ c0_1(a53)
        & ~ c1_1(a53) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a3)
        & c2_1(a3)
        & c3_1(a3) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a9)
        & c1_1(a9)
        & c2_1(a9) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a10)
        & c2_1(a10)
        & c3_1(a10) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | c3_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp27
      | hskp26 )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp27
      | hskp7 )
    & ( ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp27
      | hskp12 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp2
      | hskp14 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | hskp26
      | hskp16 )
    & ( ! [X57] :
          ( c2_1(X57)
          | ~ c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X60] :
          ( c2_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp9
      | hskp24 )
    & ( ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp10 )
    & ( hskp25
      | hskp17
      | hskp21 )
    & ( hskp6
      | hskp26
      | hskp22 )
    & ( hskp17
      | hskp8
      | hskp4 )
    & ( hskp7
      | hskp9
      | hskp13 )
    & ( hskp24
      | hskp23
      | hskp0 ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ( ~ hskp0
      | ( ndr1_0
        & c3_1(a1)
        & ~ c0_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a2)
        & ~ c0_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a4)
        & ~ c2_1(a4)
        & ~ c3_1(a4) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c1_1(a5)
        & ~ c2_1(a5)
        & ~ c3_1(a5) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a8)
        & c1_1(a8)
        & ~ c2_1(a8) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a14)
        & c3_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a15)
        & ~ c1_1(a15)
        & ~ c2_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & ~ c2_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a18)
        & c2_1(a18)
        & ~ c3_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c1_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & ~ c0_1(a21)
        & ~ c1_1(a21)
        & ~ c2_1(a21) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & ~ c0_1(a22)
        & ~ c2_1(a22)
        & ~ c3_1(a22) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a24)
        & ~ c0_1(a24)
        & ~ c1_1(a24) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a25)
        & c1_1(a25)
        & ~ c3_1(a25) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a30)
        & ~ c0_1(a30)
        & ~ c2_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a31)
        & c2_1(a31)
        & ~ c1_1(a31) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & ~ c0_1(a32)
        & ~ c1_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a33)
        & c3_1(a33)
        & ~ c0_1(a33) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & ~ c0_1(a37)
        & ~ c3_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a42)
        & c3_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a45)
        & ~ c1_1(a45)
        & ~ c3_1(a45) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a53)
        & ~ c0_1(a53)
        & ~ c1_1(a53) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a3)
        & c2_1(a3)
        & c3_1(a3) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a9)
        & c1_1(a9)
        & c2_1(a9) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a10)
        & c2_1(a10)
        & c3_1(a10) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a11)
        & c1_1(a11)
        & c3_1(a11) ) )
    & ( ! [X0] :
          ( c0_1(X0)
          | c1_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | ! [X1] :
          ( c0_1(X1)
          | c2_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 )
      | ! [X2] :
          ( c0_1(X2)
          | c2_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c0_1(X3)
          | c1_1(X3)
          | c2_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X5] :
          ( c0_1(X5)
          | c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( c0_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c1_1(X8)
          | ~ c2_1(X8)
          | ~ c3_1(X8)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X9] :
          ( c0_1(X9)
          | c1_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c1_1(X13)
          | ~ c2_1(X13)
          | ~ c3_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | c3_1(X15)
          | ~ c0_1(X15)
          | ~ ndr1_0 )
      | ! [X16] :
          ( c2_1(X16)
          | c3_1(X16)
          | ~ c1_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0 )
      | hskp2
      | hskp3 )
    & ( ! [X18] :
          ( c0_1(X18)
          | c1_1(X18)
          | ~ c3_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c1_1(X19)
          | c2_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X20] :
          ( c0_1(X20)
          | c2_1(X20)
          | c3_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c0_1(X21)
          | c3_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( c1_1(X22)
          | c2_1(X22)
          | c3_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X23] :
          ( c0_1(X23)
          | c2_1(X23)
          | c3_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c1_1(X24)
          | c3_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( c2_1(X25)
          | ~ c1_1(X25)
          | ~ c3_1(X25)
          | ~ ndr1_0 ) )
    & ( ! [X26] :
          ( c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 )
      | hskp5 )
    & ( ! [X28] :
          ( c0_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c1_1(X29)
          | ~ c2_1(X29)
          | ~ c3_1(X29)
          | ~ ndr1_0 )
      | hskp6 )
    & ( ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( c2_1(X31)
          | c3_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X33] :
          ( c0_1(X33)
          | c3_1(X33)
          | ~ c2_1(X33)
          | ~ ndr1_0 )
      | hskp25
      | hskp26 )
    & ( ! [X34] :
          ( c0_1(X34)
          | ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ ndr1_0 )
      | hskp27
      | hskp26 )
    & ( ! [X35] :
          ( c0_1(X35)
          | ~ c1_1(X35)
          | ~ c2_1(X35)
          | ~ ndr1_0 )
      | hskp27
      | hskp7 )
    & ( ! [X36] :
          ( c0_1(X36)
          | ~ c1_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | hskp8
      | hskp9 )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( c1_1(X38)
          | c3_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | hskp4 )
    & ( ! [X39] :
          ( c0_1(X39)
          | ~ c1_1(X39)
          | ~ c3_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c1_1(X40)
          | ~ c2_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | ~ c2_1(X42)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X43] :
          ( c0_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43)
          | ~ ndr1_0 )
      | hskp27
      | hskp12 )
    & ( ! [X44] :
          ( c1_1(X44)
          | c2_1(X44)
          | ~ c0_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | hskp13 )
    & ( ! [X46] :
          ( c1_1(X46)
          | c2_1(X46)
          | ~ c0_1(X46)
          | ~ ndr1_0 )
      | hskp2
      | hskp14 )
    & ( ! [X47] :
          ( c1_1(X47)
          | c2_1(X47)
          | ~ c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c2_1(X48)
          | ~ c0_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | hskp15 )
    & ( ! [X49] :
          ( c1_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | ~ c2_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( c1_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51)
          | ~ ndr1_0 )
      | hskp6
      | hskp26 )
    & ( ! [X52] :
          ( c1_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52)
          | ~ ndr1_0 )
      | hskp7 )
    & ( ! [X53] :
          ( c2_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c2_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | hskp26
      | hskp16 )
    & ( ! [X57] :
          ( c2_1(X57)
          | ~ c0_1(X57)
          | ~ c3_1(X57)
          | ~ ndr1_0 )
      | hskp17
      | hskp18 )
    & ( ! [X58] :
          ( c2_1(X58)
          | ~ c1_1(X58)
          | ~ c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c0_1(X59)
          | ~ c1_1(X59)
          | ~ c2_1(X59)
          | ~ ndr1_0 )
      | hskp19 )
    & ( ! [X60] :
          ( c2_1(X60)
          | ~ c1_1(X60)
          | ~ c3_1(X60)
          | ~ ndr1_0 )
      | hskp9
      | hskp24 )
    & ( ! [X61] :
          ( c3_1(X61)
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ ndr1_0 )
      | hskp26
      | hskp20 )
    & ( ! [X62] :
          ( ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ c2_1(X62)
          | ~ ndr1_0 )
      | hskp6
      | hskp10 )
    & ( hskp25
      | hskp17
      | hskp21 )
    & ( hskp6
      | hskp26
      | hskp22 )
    & ( hskp17
      | hskp8
      | hskp4 )
    & ( hskp7
      | hskp9
      | hskp13 )
    & ( hskp24
      | hskp23
      | hskp0 ) ),
    inference(flattening,[],[f4]) ).

fof(f6,plain,
    ( hskp24
    | hskp23
    | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f7,plain,
    ( hskp7
    | hskp9
    | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ( hskp17
    | hskp8
    | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f10,plain,
    ( hskp25
    | hskp17
    | hskp21 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11,plain,
    ! [X62] :
      ( ~ c0_1(X62)
      | ~ c1_1(X62)
      | ~ c2_1(X62)
      | ~ ndr1_0
      | hskp6
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f12,plain,
    ! [X61] :
      ( c3_1(X61)
      | ~ c0_1(X61)
      | ~ c2_1(X61)
      | ~ ndr1_0
      | hskp26
      | hskp20 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f13,plain,
    ! [X60] :
      ( c2_1(X60)
      | ~ c1_1(X60)
      | ~ c3_1(X60)
      | ~ ndr1_0
      | hskp9
      | hskp24 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f14,plain,
    ! [X58,X59] :
      ( c2_1(X58)
      | ~ c1_1(X58)
      | ~ c3_1(X58)
      | ~ ndr1_0
      | ~ c0_1(X59)
      | ~ c1_1(X59)
      | ~ c2_1(X59)
      | ~ ndr1_0
      | hskp19 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f15,plain,
    ! [X57] :
      ( c2_1(X57)
      | ~ c0_1(X57)
      | ~ c3_1(X57)
      | ~ ndr1_0
      | hskp17
      | hskp18 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f16,plain,
    ! [X56] :
      ( c2_1(X56)
      | c3_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | hskp26
      | hskp16 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f17,plain,
    ! [X54,X55,X53] :
      ( c2_1(X53)
      | c3_1(X53)
      | ~ c0_1(X53)
      | ~ ndr1_0
      | c2_1(X54)
      | c3_1(X54)
      | ~ c1_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ c3_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f18,plain,
    ! [X52] :
      ( c1_1(X52)
      | c3_1(X52)
      | ~ c2_1(X52)
      | ~ ndr1_0
      | hskp7 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f20,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | c3_1(X49)
      | ~ c2_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f21,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | c2_1(X47)
      | ~ c3_1(X47)
      | ~ ndr1_0
      | c2_1(X48)
      | ~ c0_1(X48)
      | ~ c3_1(X48)
      | ~ ndr1_0
      | hskp15 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f22,plain,
    ! [X46] :
      ( c1_1(X46)
      | c2_1(X46)
      | ~ c0_1(X46)
      | ~ ndr1_0
      | hskp2
      | hskp14 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f23,plain,
    ! [X44,X45] :
      ( c1_1(X44)
      | c2_1(X44)
      | ~ c0_1(X44)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ c0_1(X45)
      | ~ c3_1(X45)
      | ~ ndr1_0
      | hskp13 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    ! [X43] :
      ( c0_1(X43)
      | ~ c2_1(X43)
      | ~ c3_1(X43)
      | ~ ndr1_0
      | hskp27
      | hskp12 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f25,plain,
    ! [X41,X42] :
      ( c0_1(X41)
      | ~ c2_1(X41)
      | ~ c3_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | ~ c0_1(X42)
      | ~ c2_1(X42)
      | ~ ndr1_0
      | hskp11 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f26,plain,
    ! [X40,X39] :
      ( c0_1(X39)
      | ~ c1_1(X39)
      | ~ c3_1(X39)
      | ~ ndr1_0
      | c1_1(X40)
      | ~ c2_1(X40)
      | ~ c3_1(X40)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f28,plain,
    ! [X36] :
      ( c0_1(X36)
      | ~ c1_1(X36)
      | ~ c2_1(X36)
      | ~ ndr1_0
      | hskp8
      | hskp9 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f30,plain,
    ! [X34] :
      ( c0_1(X34)
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ ndr1_0
      | hskp27
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f31,plain,
    ! [X33] :
      ( c0_1(X33)
      | c3_1(X33)
      | ~ c2_1(X33)
      | ~ ndr1_0
      | hskp25
      | hskp26 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f32,plain,
    ! [X31,X32,X30] :
      ( c0_1(X30)
      | c3_1(X30)
      | ~ c2_1(X30)
      | ~ ndr1_0
      | c2_1(X31)
      | c3_1(X31)
      | ~ c1_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | ~ c1_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f33,plain,
    ! [X28,X29] :
      ( c0_1(X28)
      | c2_1(X28)
      | ~ c3_1(X28)
      | ~ ndr1_0
      | ~ c1_1(X29)
      | ~ c2_1(X29)
      | ~ c3_1(X29)
      | ~ ndr1_0
      | hskp6 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f34,plain,
    ! [X26,X27] :
      ( c0_1(X26)
      | c2_1(X26)
      | ~ c1_1(X26)
      | ~ ndr1_0
      | c3_1(X27)
      | ~ c1_1(X27)
      | ~ c2_1(X27)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f35,plain,
    ! [X24,X25,X23] :
      ( c0_1(X23)
      | c2_1(X23)
      | c3_1(X23)
      | ~ ndr1_0
      | c1_1(X24)
      | c3_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | c2_1(X25)
      | ~ c1_1(X25)
      | ~ c3_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f36,plain,
    ! [X21,X22,X20] :
      ( c0_1(X20)
      | c2_1(X20)
      | c3_1(X20)
      | ~ ndr1_0
      | c0_1(X21)
      | c3_1(X21)
      | ~ c2_1(X21)
      | ~ ndr1_0
      | c1_1(X22)
      | c2_1(X22)
      | c3_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f37,plain,
    ! [X18,X19] :
      ( c0_1(X18)
      | c1_1(X18)
      | ~ c3_1(X18)
      | ~ ndr1_0
      | c1_1(X19)
      | c2_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | hskp4 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f38,plain,
    ! [X17] :
      ( c0_1(X17)
      | c1_1(X17)
      | ~ c2_1(X17)
      | ~ ndr1_0
      | hskp2
      | hskp3 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f40,plain,
    ! [X11,X12,X13] :
      ( c0_1(X11)
      | c1_1(X11)
      | ~ c2_1(X11)
      | ~ ndr1_0
      | c0_1(X12)
      | c3_1(X12)
      | ~ c1_1(X12)
      | ~ ndr1_0
      | c1_1(X13)
      | ~ c2_1(X13)
      | ~ c3_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f42,plain,
    ! [X8,X7] :
      ( c0_1(X7)
      | c1_1(X7)
      | c3_1(X7)
      | ~ ndr1_0
      | c1_1(X8)
      | ~ c2_1(X8)
      | ~ c3_1(X8)
      | ~ ndr1_0
      | hskp1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f43,plain,
    ! [X6,X5] :
      ( c0_1(X5)
      | c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0
      | c0_1(X6)
      | ~ c1_1(X6)
      | ~ c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f44,plain,
    ! [X3,X4] :
      ( c0_1(X3)
      | c1_1(X3)
      | c2_1(X3)
      | ~ ndr1_0
      | c1_1(X4)
      | ~ c0_1(X4)
      | ~ c2_1(X4)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f45,plain,
    ! [X2,X0,X1] :
      ( c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | c0_1(X1)
      | c2_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c0_1(X2)
      | c2_1(X2)
      | ~ c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f46,plain,
    ( ~ hskp27
    | c3_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f47,plain,
    ( ~ hskp27
    | c1_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f48,plain,
    ( ~ hskp27
    | c0_1(a11) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f50,plain,
    ( ~ hskp26
    | c3_1(a10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f51,plain,
    ( ~ hskp26
    | c2_1(a10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f52,plain,
    ( ~ hskp26
    | c0_1(a10) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f54,plain,
    ( ~ hskp25
    | c2_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f55,plain,
    ( ~ hskp25
    | c1_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f56,plain,
    ( ~ hskp25
    | c0_1(a9) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f58,plain,
    ( ~ hskp24
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f59,plain,
    ( ~ hskp24
    | c2_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f60,plain,
    ( ~ hskp24
    | c1_1(a3) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f61,plain,
    ( ~ hskp24
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f62,plain,
    ( ~ hskp23
    | ~ c1_1(a53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f63,plain,
    ( ~ hskp23
    | ~ c0_1(a53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f64,plain,
    ( ~ hskp23
    | c3_1(a53) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f65,plain,
    ( ~ hskp23
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f70,plain,
    ( ~ hskp21
    | ~ c1_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f71,plain,
    ( ~ hskp21
    | c3_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f72,plain,
    ( ~ hskp21
    | c2_1(a42) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f74,plain,
    ( ~ hskp20
    | ~ c3_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f75,plain,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f76,plain,
    ( ~ hskp20
    | c1_1(a37) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f78,plain,
    ( ~ hskp19
    | ~ c0_1(a33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f79,plain,
    ( ~ hskp19
    | c3_1(a33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f80,plain,
    ( ~ hskp19
    | c2_1(a33) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f82,plain,
    ( ~ hskp18
    | ~ c3_1(a32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f83,plain,
    ( ~ hskp18
    | ~ c1_1(a32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f84,plain,
    ( ~ hskp18
    | ~ c0_1(a32) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f86,plain,
    ( ~ hskp17
    | ~ c1_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f87,plain,
    ( ~ hskp17
    | c2_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f88,plain,
    ( ~ hskp17
    | c0_1(a31) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f90,plain,
    ( ~ hskp16
    | ~ c2_1(a30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f91,plain,
    ( ~ hskp16
    | ~ c0_1(a30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f92,plain,
    ( ~ hskp16
    | c1_1(a30) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f94,plain,
    ( ~ hskp15
    | ~ c3_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f95,plain,
    ( ~ hskp15
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f96,plain,
    ( ~ hskp15
    | c0_1(a25) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f98,plain,
    ( ~ hskp14
    | ~ c1_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f99,plain,
    ( ~ hskp14
    | ~ c0_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f100,plain,
    ( ~ hskp14
    | c2_1(a24) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f102,plain,
    ( ~ hskp13
    | ~ c3_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f103,plain,
    ( ~ hskp13
    | ~ c2_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f104,plain,
    ( ~ hskp13
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f106,plain,
    ( ~ hskp12
    | ~ c2_1(a21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f107,plain,
    ( ~ hskp12
    | ~ c1_1(a21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f108,plain,
    ( ~ hskp12
    | ~ c0_1(a21) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f110,plain,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f111,plain,
    ( ~ hskp11
    | ~ c1_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f112,plain,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f114,plain,
    ( ~ hskp10
    | ~ c3_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f115,plain,
    ( ~ hskp10
    | c2_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f116,plain,
    ( ~ hskp10
    | c0_1(a18) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f118,plain,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f119,plain,
    ( ~ hskp9
    | ~ c2_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f120,plain,
    ( ~ hskp9
    | c0_1(a16) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f122,plain,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f123,plain,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f124,plain,
    ( ~ hskp8
    | c0_1(a15) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f126,plain,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f127,plain,
    ( ~ hskp7
    | c3_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f128,plain,
    ( ~ hskp7
    | c0_1(a14) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f130,plain,
    ( ~ hskp6
    | ~ c2_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f131,plain,
    ( ~ hskp6
    | c1_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f132,plain,
    ( ~ hskp6
    | c0_1(a8) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f134,plain,
    ( ~ hskp5
    | ~ c0_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f135,plain,
    ( ~ hskp5
    | c3_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f136,plain,
    ( ~ hskp5
    | c1_1(a7) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f138,plain,
    ( ~ hskp4
    | ~ c2_1(a6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f139,plain,
    ( ~ hskp4
    | c3_1(a6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f140,plain,
    ( ~ hskp4
    | c1_1(a6) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f142,plain,
    ( ~ hskp3
    | ~ c3_1(a5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f143,plain,
    ( ~ hskp3
    | ~ c2_1(a5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f144,plain,
    ( ~ hskp3
    | ~ c1_1(a5) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f146,plain,
    ( ~ hskp2
    | ~ c3_1(a4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f147,plain,
    ( ~ hskp2
    | ~ c2_1(a4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f148,plain,
    ( ~ hskp2
    | c1_1(a4) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f150,plain,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f151,plain,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f152,plain,
    ( ~ hskp1
    | c2_1(a2) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f154,plain,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f155,plain,
    ( ~ hskp0
    | ~ c0_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f156,plain,
    ( ~ hskp0
    | c3_1(a1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f157,plain,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f158,plain,
    ( ~ hskp0
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f157]) ).

fof(f159,plain,
    ( ~ hskp0
    | ~ c3_1(a1) ),
    inference(consistent_polarity_flipping,[],[f156]) ).

fof(f160,plain,
    ( ~ hskp0
    | c0_1(a1) ),
    inference(consistent_polarity_flipping,[],[f155]) ).

fof(f161,plain,
    ( ~ hskp0
    | c2_1(a1) ),
    inference(consistent_polarity_flipping,[],[f154]) ).

fof(f163,plain,
    ( hskp1
    | ~ c2_1(a2) ),
    inference(consistent_polarity_flipping,[],[f152]) ).

fof(f164,plain,
    ( hskp1
    | c0_1(a2) ),
    inference(consistent_polarity_flipping,[],[f151]) ).

fof(f165,plain,
    ( hskp1
    | c3_1(a2) ),
    inference(consistent_polarity_flipping,[],[f150]) ).

fof(f167,plain,
    ( hskp2
    | c1_1(a4) ),
    inference(consistent_polarity_flipping,[],[f148]) ).

fof(f168,plain,
    ( hskp2
    | c2_1(a4) ),
    inference(consistent_polarity_flipping,[],[f147]) ).

fof(f169,plain,
    ( hskp2
    | c3_1(a4) ),
    inference(consistent_polarity_flipping,[],[f146]) ).

fof(f171,plain,
    ( hskp3
    | ~ c1_1(a5) ),
    inference(consistent_polarity_flipping,[],[f144]) ).

fof(f172,plain,
    ( hskp3
    | c2_1(a5) ),
    inference(consistent_polarity_flipping,[],[f143]) ).

fof(f173,plain,
    ( hskp3
    | c3_1(a5) ),
    inference(consistent_polarity_flipping,[],[f142]) ).

fof(f175,plain,
    ( hskp4
    | c1_1(a6) ),
    inference(consistent_polarity_flipping,[],[f140]) ).

fof(f176,plain,
    ( hskp4
    | ~ c3_1(a6) ),
    inference(consistent_polarity_flipping,[],[f139]) ).

fof(f177,plain,
    ( hskp4
    | c2_1(a6) ),
    inference(consistent_polarity_flipping,[],[f138]) ).

fof(f179,plain,
    ( ~ hskp5
    | ~ c3_1(a7) ),
    inference(consistent_polarity_flipping,[],[f135]) ).

fof(f180,plain,
    ( ~ hskp5
    | c0_1(a7) ),
    inference(consistent_polarity_flipping,[],[f134]) ).

fof(f182,plain,
    ( ~ hskp6
    | ~ c0_1(a8) ),
    inference(consistent_polarity_flipping,[],[f132]) ).

fof(f183,plain,
    ( ~ hskp6
    | c2_1(a8) ),
    inference(consistent_polarity_flipping,[],[f130]) ).

fof(f185,plain,
    ( ~ hskp7
    | ~ c0_1(a14) ),
    inference(consistent_polarity_flipping,[],[f128]) ).

fof(f186,plain,
    ( ~ hskp7
    | ~ c3_1(a14) ),
    inference(consistent_polarity_flipping,[],[f127]) ).

fof(f187,plain,
    ( ~ hskp7
    | c2_1(a14) ),
    inference(consistent_polarity_flipping,[],[f126]) ).

fof(f189,plain,
    ( hskp8
    | ~ c0_1(a15) ),
    inference(consistent_polarity_flipping,[],[f124]) ).

fof(f190,plain,
    ( hskp8
    | ~ c1_1(a15) ),
    inference(consistent_polarity_flipping,[],[f123]) ).

fof(f191,plain,
    ( hskp8
    | c2_1(a15) ),
    inference(consistent_polarity_flipping,[],[f122]) ).

fof(f193,plain,
    ( ~ hskp9
    | ~ c0_1(a16) ),
    inference(consistent_polarity_flipping,[],[f120]) ).

fof(f194,plain,
    ( ~ hskp9
    | c2_1(a16) ),
    inference(consistent_polarity_flipping,[],[f119]) ).

fof(f195,plain,
    ( ~ hskp9
    | c3_1(a16) ),
    inference(consistent_polarity_flipping,[],[f118]) ).

fof(f197,plain,
    ( ~ hskp10
    | ~ c0_1(a18) ),
    inference(consistent_polarity_flipping,[],[f116]) ).

fof(f198,plain,
    ( ~ hskp10
    | ~ c2_1(a18) ),
    inference(consistent_polarity_flipping,[],[f115]) ).

fof(f199,plain,
    ( ~ hskp10
    | c3_1(a18) ),
    inference(consistent_polarity_flipping,[],[f114]) ).

fof(f201,plain,
    ( hskp11
    | ~ c2_1(a19) ),
    inference(consistent_polarity_flipping,[],[f112]) ).

fof(f202,plain,
    ( hskp11
    | ~ c1_1(a19) ),
    inference(consistent_polarity_flipping,[],[f111]) ).

fof(f203,plain,
    ( hskp11
    | c3_1(a19) ),
    inference(consistent_polarity_flipping,[],[f110]) ).

fof(f205,plain,
    ( hskp12
    | c0_1(a21) ),
    inference(consistent_polarity_flipping,[],[f108]) ).

fof(f206,plain,
    ( hskp12
    | ~ c1_1(a21) ),
    inference(consistent_polarity_flipping,[],[f107]) ).

fof(f207,plain,
    ( hskp12
    | c2_1(a21) ),
    inference(consistent_polarity_flipping,[],[f106]) ).

fof(f209,plain,
    ( ~ hskp13
    | c0_1(a22) ),
    inference(consistent_polarity_flipping,[],[f104]) ).

fof(f210,plain,
    ( ~ hskp13
    | c2_1(a22) ),
    inference(consistent_polarity_flipping,[],[f103]) ).

fof(f211,plain,
    ( ~ hskp13
    | c3_1(a22) ),
    inference(consistent_polarity_flipping,[],[f102]) ).

fof(f213,plain,
    ( ~ hskp14
    | ~ c2_1(a24) ),
    inference(consistent_polarity_flipping,[],[f100]) ).

fof(f214,plain,
    ( ~ hskp14
    | c0_1(a24) ),
    inference(consistent_polarity_flipping,[],[f99]) ).

fof(f216,plain,
    ( ~ hskp15
    | ~ c0_1(a25) ),
    inference(consistent_polarity_flipping,[],[f96]) ).

fof(f217,plain,
    ( ~ hskp15
    | c3_1(a25) ),
    inference(consistent_polarity_flipping,[],[f94]) ).

fof(f219,plain,
    ( ~ hskp16
    | c0_1(a30) ),
    inference(consistent_polarity_flipping,[],[f91]) ).

fof(f220,plain,
    ( ~ hskp16
    | c2_1(a30) ),
    inference(consistent_polarity_flipping,[],[f90]) ).

fof(f222,plain,
    ( hskp17
    | ~ c0_1(a31) ),
    inference(consistent_polarity_flipping,[],[f88]) ).

fof(f223,plain,
    ( hskp17
    | ~ c2_1(a31) ),
    inference(consistent_polarity_flipping,[],[f87]) ).

fof(f224,plain,
    ( hskp17
    | ~ c1_1(a31) ),
    inference(consistent_polarity_flipping,[],[f86]) ).

fof(f226,plain,
    ( ~ hskp18
    | c0_1(a32) ),
    inference(consistent_polarity_flipping,[],[f84]) ).

fof(f227,plain,
    ( ~ hskp18
    | c3_1(a32) ),
    inference(consistent_polarity_flipping,[],[f82]) ).

fof(f229,plain,
    ( hskp19
    | ~ c2_1(a33) ),
    inference(consistent_polarity_flipping,[],[f80]) ).

fof(f230,plain,
    ( hskp19
    | ~ c3_1(a33) ),
    inference(consistent_polarity_flipping,[],[f79]) ).

fof(f231,plain,
    ( hskp19
    | c0_1(a33) ),
    inference(consistent_polarity_flipping,[],[f78]) ).

fof(f233,plain,
    ( ~ hskp20
    | c0_1(a37) ),
    inference(consistent_polarity_flipping,[],[f75]) ).

fof(f234,plain,
    ( ~ hskp20
    | c3_1(a37) ),
    inference(consistent_polarity_flipping,[],[f74]) ).

fof(f236,plain,
    ( hskp21
    | ~ c2_1(a42) ),
    inference(consistent_polarity_flipping,[],[f72]) ).

fof(f237,plain,
    ( hskp21
    | ~ c3_1(a42) ),
    inference(consistent_polarity_flipping,[],[f71]) ).

fof(f238,plain,
    ( hskp21
    | ~ c1_1(a42) ),
    inference(consistent_polarity_flipping,[],[f70]) ).

fof(f243,plain,
    ( ~ hskp23
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f65]) ).

fof(f244,plain,
    ( ~ hskp23
    | ~ c3_1(a53) ),
    inference(consistent_polarity_flipping,[],[f64]) ).

fof(f245,plain,
    ( ~ hskp23
    | c0_1(a53) ),
    inference(consistent_polarity_flipping,[],[f63]) ).

fof(f246,plain,
    ( ~ hskp24
    | ~ ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f61]) ).

fof(f247,plain,
    ( ~ hskp24
    | ~ c2_1(a3) ),
    inference(consistent_polarity_flipping,[],[f59]) ).

fof(f248,plain,
    ( ~ hskp24
    | ~ c3_1(a3) ),
    inference(consistent_polarity_flipping,[],[f58]) ).

fof(f250,plain,
    ( ~ hskp25
    | ~ c0_1(a9) ),
    inference(consistent_polarity_flipping,[],[f56]) ).

fof(f251,plain,
    ( ~ hskp25
    | ~ c2_1(a9) ),
    inference(consistent_polarity_flipping,[],[f54]) ).

fof(f253,plain,
    ( hskp26
    | ~ c0_1(a10) ),
    inference(consistent_polarity_flipping,[],[f52]) ).

fof(f254,plain,
    ( hskp26
    | ~ c2_1(a10) ),
    inference(consistent_polarity_flipping,[],[f51]) ).

fof(f255,plain,
    ( hskp26
    | ~ c3_1(a10) ),
    inference(consistent_polarity_flipping,[],[f50]) ).

fof(f257,plain,
    ( hskp27
    | ~ c0_1(a11) ),
    inference(consistent_polarity_flipping,[],[f48]) ).

fof(f258,plain,
    ( hskp27
    | c1_1(a11) ),
    inference(consistent_polarity_flipping,[],[f47]) ).

fof(f259,plain,
    ( hskp27
    | ~ c3_1(a11) ),
    inference(consistent_polarity_flipping,[],[f46]) ).

fof(f260,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ndr1_0
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | c3_1(X2)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f261,plain,
    ! [X3,X4] :
      ( ~ c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ndr1_0
      | c1_1(X4)
      | c0_1(X4)
      | c2_1(X4)
      | ndr1_0
      | hskp0 ),
    inference(consistent_polarity_flipping,[],[f44]) ).

fof(f262,plain,
    ! [X6,X5] :
      ( ~ c0_1(X5)
      | c1_1(X5)
      | ~ c3_1(X5)
      | ndr1_0
      | ~ c0_1(X6)
      | ~ c1_1(X6)
      | c2_1(X6)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f43]) ).

fof(f263,plain,
    ! [X8,X7] :
      ( ~ c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ndr1_0
      | c1_1(X8)
      | c2_1(X8)
      | c3_1(X8)
      | ndr1_0
      | ~ hskp1 ),
    inference(consistent_polarity_flipping,[],[f42]) ).

fof(f265,plain,
    ! [X11,X12,X13] :
      ( ~ c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ndr1_0
      | ~ c0_1(X12)
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | ndr1_0
      | c1_1(X13)
      | c2_1(X13)
      | c3_1(X13)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f40]) ).

fof(f267,plain,
    ! [X17] :
      ( ~ c0_1(X17)
      | c1_1(X17)
      | c2_1(X17)
      | ndr1_0
      | ~ hskp2
      | ~ hskp3 ),
    inference(consistent_polarity_flipping,[],[f38]) ).

fof(f268,plain,
    ! [X18,X19] :
      ( ~ c0_1(X18)
      | c1_1(X18)
      | c3_1(X18)
      | ndr1_0
      | c1_1(X19)
      | ~ c2_1(X19)
      | c0_1(X19)
      | ndr1_0
      | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f269,plain,
    ! [X21,X22,X20] :
      ( ~ c0_1(X20)
      | ~ c2_1(X20)
      | ~ c3_1(X20)
      | ndr1_0
      | ~ c0_1(X21)
      | ~ c3_1(X21)
      | c2_1(X21)
      | ndr1_0
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f36]) ).

fof(f270,plain,
    ! [X24,X25,X23] :
      ( ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ndr1_0
      | c1_1(X24)
      | ~ c3_1(X24)
      | c0_1(X24)
      | ndr1_0
      | ~ c2_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f271,plain,
    ! [X26,X27] :
      ( ~ c0_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | ndr1_0
      | ~ c3_1(X27)
      | ~ c1_1(X27)
      | c2_1(X27)
      | ndr1_0
      | hskp5 ),
    inference(consistent_polarity_flipping,[],[f34]) ).

fof(f272,plain,
    ! [X28,X29] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | c3_1(X28)
      | ndr1_0
      | ~ c1_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | ndr1_0
      | hskp6 ),
    inference(consistent_polarity_flipping,[],[f33]) ).

fof(f273,plain,
    ! [X31,X32,X30] :
      ( ~ c0_1(X30)
      | ~ c3_1(X30)
      | c2_1(X30)
      | ndr1_0
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ~ c1_1(X31)
      | ndr1_0
      | c0_1(X32)
      | ~ c1_1(X32)
      | c2_1(X32)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f32]) ).

fof(f274,plain,
    ! [X33] :
      ( ~ c0_1(X33)
      | ~ c3_1(X33)
      | c2_1(X33)
      | ndr1_0
      | hskp25
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f31]) ).

fof(f275,plain,
    ! [X34] :
      ( ~ c0_1(X34)
      | ~ c1_1(X34)
      | c2_1(X34)
      | ndr1_0
      | ~ hskp27
      | ~ hskp26 ),
    inference(consistent_polarity_flipping,[],[f30]) ).

fof(f277,plain,
    ! [X36] :
      ( ~ c0_1(X36)
      | ~ c1_1(X36)
      | c2_1(X36)
      | ndr1_0
      | ~ hskp8
      | hskp9 ),
    inference(consistent_polarity_flipping,[],[f28]) ).

fof(f279,plain,
    ! [X40,X39] :
      ( ~ c0_1(X39)
      | ~ c1_1(X39)
      | c3_1(X39)
      | ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | c3_1(X40)
      | ndr1_0
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f26]) ).

fof(f280,plain,
    ! [X41,X42] :
      ( ~ c0_1(X41)
      | c2_1(X41)
      | c3_1(X41)
      | ndr1_0
      | ~ c3_1(X42)
      | c0_1(X42)
      | c2_1(X42)
      | ndr1_0
      | ~ hskp11 ),
    inference(consistent_polarity_flipping,[],[f25]) ).

fof(f281,plain,
    ! [X43] :
      ( ~ c0_1(X43)
      | c2_1(X43)
      | c3_1(X43)
      | ndr1_0
      | ~ hskp27
      | ~ hskp12 ),
    inference(consistent_polarity_flipping,[],[f24]) ).

fof(f282,plain,
    ! [X44,X45] :
      ( c1_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ndr1_0
      | c1_1(X45)
      | c0_1(X45)
      | c3_1(X45)
      | ndr1_0
      | hskp13 ),
    inference(consistent_polarity_flipping,[],[f23]) ).

fof(f283,plain,
    ! [X46] :
      ( c1_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | ndr1_0
      | ~ hskp2
      | hskp14 ),
    inference(consistent_polarity_flipping,[],[f22]) ).

fof(f284,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | ~ c2_1(X47)
      | c3_1(X47)
      | ndr1_0
      | ~ c2_1(X48)
      | c0_1(X48)
      | c3_1(X48)
      | ndr1_0
      | hskp15 ),
    inference(consistent_polarity_flipping,[],[f21]) ).

fof(f285,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | ~ c3_1(X49)
      | c2_1(X49)
      | ndr1_0
      | c0_1(X50)
      | c2_1(X50)
      | c3_1(X50)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f20]) ).

fof(f287,plain,
    ! [X52] :
      ( c1_1(X52)
      | ~ c3_1(X52)
      | c2_1(X52)
      | ndr1_0
      | hskp7 ),
    inference(consistent_polarity_flipping,[],[f18]) ).

fof(f288,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c3_1(X53)
      | c0_1(X53)
      | ndr1_0
      | ~ c2_1(X54)
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | ndr1_0
      | c0_1(X55)
      | c2_1(X55)
      | c3_1(X55)
      | ndr1_0 ),
    inference(consistent_polarity_flipping,[],[f17]) ).

fof(f289,plain,
    ! [X56] :
      ( ~ c2_1(X56)
      | ~ c3_1(X56)
      | c0_1(X56)
      | ndr1_0
      | ~ hskp26
      | hskp16 ),
    inference(consistent_polarity_flipping,[],[f16]) ).

fof(f290,plain,
    ! [X57] :
      ( ~ c2_1(X57)
      | c0_1(X57)
      | c3_1(X57)
      | ndr1_0
      | ~ hskp17
      | hskp18 ),
    inference(consistent_polarity_flipping,[],[f15]) ).

fof(f291,plain,
    ! [X58,X59] :
      ( ~ c2_1(X58)
      | ~ c1_1(X58)
      | c3_1(X58)
      | ndr1_0
      | c0_1(X59)
      | ~ c1_1(X59)
      | c2_1(X59)
      | ndr1_0
      | ~ hskp19 ),
    inference(consistent_polarity_flipping,[],[f14]) ).

fof(f292,plain,
    ! [X60] :
      ( ~ c2_1(X60)
      | ~ c1_1(X60)
      | c3_1(X60)
      | ndr1_0
      | hskp9
      | hskp24 ),
    inference(consistent_polarity_flipping,[],[f13]) ).

fof(f293,plain,
    ! [X61] :
      ( ~ c3_1(X61)
      | c0_1(X61)
      | c2_1(X61)
      | ndr1_0
      | ~ hskp26
      | hskp20 ),
    inference(consistent_polarity_flipping,[],[f12]) ).

fof(f294,plain,
    ! [X62] :
      ( c0_1(X62)
      | ~ c1_1(X62)
      | c2_1(X62)
      | ndr1_0
      | hskp6
      | hskp10 ),
    inference(consistent_polarity_flipping,[],[f11]) ).

fof(f295,plain,
    ( hskp25
    | ~ hskp17
    | ~ hskp21 ),
    inference(consistent_polarity_flipping,[],[f10]) ).

fof(f297,plain,
    ( ~ hskp17
    | ~ hskp8
    | ~ hskp4 ),
    inference(consistent_polarity_flipping,[],[f8]) ).

fof(f298,plain,
    ! [X58,X59] :
      ( ~ c2_1(X58)
      | ~ c1_1(X58)
      | c3_1(X58)
      | ndr1_0
      | c0_1(X59)
      | ~ c1_1(X59)
      | c2_1(X59)
      | ~ hskp19 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f299,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c3_1(X53)
      | c0_1(X53)
      | ndr1_0
      | ~ c2_1(X54)
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X55)
      | c2_1(X55)
      | c3_1(X55) ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f300,plain,
    ! [X50,X49] :
      ( c1_1(X49)
      | ~ c3_1(X49)
      | c2_1(X49)
      | ndr1_0
      | c0_1(X50)
      | c2_1(X50)
      | c3_1(X50) ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f301,plain,
    ! [X48,X47] :
      ( c1_1(X47)
      | ~ c2_1(X47)
      | c3_1(X47)
      | ndr1_0
      | ~ c2_1(X48)
      | c0_1(X48)
      | c3_1(X48)
      | hskp15 ),
    inference(duplicate_literal_removal,[],[f284]) ).

fof(f302,plain,
    ! [X44,X45] :
      ( c1_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ndr1_0
      | c1_1(X45)
      | c0_1(X45)
      | c3_1(X45)
      | hskp13 ),
    inference(duplicate_literal_removal,[],[f282]) ).

fof(f303,plain,
    ! [X41,X42] :
      ( ~ c0_1(X41)
      | c2_1(X41)
      | c3_1(X41)
      | ndr1_0
      | ~ c3_1(X42)
      | c0_1(X42)
      | c2_1(X42)
      | ~ hskp11 ),
    inference(duplicate_literal_removal,[],[f280]) ).

fof(f304,plain,
    ! [X40,X39] :
      ( ~ c0_1(X39)
      | ~ c1_1(X39)
      | c3_1(X39)
      | ndr1_0
      | c1_1(X40)
      | c2_1(X40)
      | c3_1(X40)
      | hskp10 ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f306,plain,
    ! [X31,X32,X30] :
      ( ~ c0_1(X30)
      | ~ c3_1(X30)
      | c2_1(X30)
      | ndr1_0
      | ~ c2_1(X31)
      | ~ c3_1(X31)
      | ~ c1_1(X31)
      | c0_1(X32)
      | ~ c1_1(X32)
      | c2_1(X32) ),
    inference(duplicate_literal_removal,[],[f273]) ).

fof(f307,plain,
    ! [X28,X29] :
      ( ~ c0_1(X28)
      | ~ c2_1(X28)
      | c3_1(X28)
      | ndr1_0
      | ~ c1_1(X29)
      | c2_1(X29)
      | c3_1(X29)
      | hskp6 ),
    inference(duplicate_literal_removal,[],[f272]) ).

fof(f308,plain,
    ! [X26,X27] :
      ( ~ c0_1(X26)
      | ~ c2_1(X26)
      | ~ c1_1(X26)
      | ndr1_0
      | ~ c3_1(X27)
      | ~ c1_1(X27)
      | c2_1(X27)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f271]) ).

fof(f309,plain,
    ! [X24,X25,X23] :
      ( ~ c0_1(X23)
      | ~ c2_1(X23)
      | ~ c3_1(X23)
      | ndr1_0
      | c1_1(X24)
      | ~ c3_1(X24)
      | c0_1(X24)
      | ~ c2_1(X25)
      | ~ c1_1(X25)
      | c3_1(X25) ),
    inference(duplicate_literal_removal,[],[f270]) ).

fof(f310,plain,
    ! [X21,X22,X20] :
      ( ~ c0_1(X20)
      | ~ c2_1(X20)
      | ~ c3_1(X20)
      | ndr1_0
      | ~ c0_1(X21)
      | ~ c3_1(X21)
      | c2_1(X21)
      | c1_1(X22)
      | ~ c2_1(X22)
      | ~ c3_1(X22) ),
    inference(duplicate_literal_removal,[],[f269]) ).

fof(f311,plain,
    ! [X18,X19] :
      ( ~ c0_1(X18)
      | c1_1(X18)
      | c3_1(X18)
      | ndr1_0
      | c1_1(X19)
      | ~ c2_1(X19)
      | c0_1(X19)
      | ~ hskp4 ),
    inference(duplicate_literal_removal,[],[f268]) ).

fof(f313,plain,
    ! [X11,X12,X13] :
      ( ~ c0_1(X11)
      | c1_1(X11)
      | c2_1(X11)
      | ndr1_0
      | ~ c0_1(X12)
      | ~ c3_1(X12)
      | ~ c1_1(X12)
      | c1_1(X13)
      | c2_1(X13)
      | c3_1(X13) ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f315,plain,
    ! [X8,X7] :
      ( ~ c0_1(X7)
      | c1_1(X7)
      | ~ c3_1(X7)
      | ndr1_0
      | c1_1(X8)
      | c2_1(X8)
      | c3_1(X8)
      | ~ hskp1 ),
    inference(duplicate_literal_removal,[],[f263]) ).

fof(f316,plain,
    ! [X6,X5] :
      ( ~ c0_1(X5)
      | c1_1(X5)
      | ~ c3_1(X5)
      | ndr1_0
      | ~ c0_1(X6)
      | ~ c1_1(X6)
      | c2_1(X6) ),
    inference(duplicate_literal_removal,[],[f262]) ).

fof(f317,plain,
    ! [X3,X4] :
      ( ~ c0_1(X3)
      | c1_1(X3)
      | ~ c2_1(X3)
      | ndr1_0
      | c1_1(X4)
      | c0_1(X4)
      | c2_1(X4)
      | hskp0 ),
    inference(duplicate_literal_removal,[],[f261]) ).

fof(f318,plain,
    ! [X2,X0,X1] :
      ( ~ c0_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ndr1_0
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | c3_1(X2) ),
    inference(duplicate_literal_removal,[],[f260]) ).

fof(f320,definition,
    ( spl0_1
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f324,definition,
    ( spl0_2
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f328,definition,
    ( spl0_3
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f331,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f328,f324,f320]) ).

fof(f333,definition,
    ( spl0_4
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f337,definition,
    ( spl0_5
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f341,definition,
    ( spl0_6
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f344,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f7,f341,f337,f333]) ).

fof(f346,definition,
    ( spl0_7
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f350,definition,
    ( spl0_8
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f354,definition,
    ( spl0_9
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f357,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f297,f354,f350,f346]) ).

fof(f363,definition,
    ( spl0_11
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).

fof(f367,definition,
    ( spl0_12
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).

fof(f372,definition,
    ( spl0_13
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).

fof(f376,definition,
    ( spl0_14
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).

fof(f379,plain,
    ( ~ spl0_13
    | ~ spl0_9
    | spl0_14 ),
    inference(avatar_split_clause,[],[f295,f376,f354,f372]) ).

fof(f381,definition,
    ( spl0_15
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).

fof(f385,definition,
    ( spl0_16
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).

fof(f389,definition,
    ( spl0_17
  <=> ! [X62] :
        ( c0_1(X62)
        | c2_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).

fof(f390,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c2_1(X62)
        | c0_1(X62) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f389]) ).

fof(f391,plain,
    ( spl0_15
    | spl0_12
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f294,f389,f385,f367,f381]) ).

fof(f393,definition,
    ( spl0_18
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).

fof(f397,definition,
    ( spl0_19
  <=> ! [X61] :
        ( ~ c3_1(X61)
        | c2_1(X61)
        | c0_1(X61) ) ),
    introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).

fof(f398,plain,
    ( ! [X61] :
        ( c2_1(X61)
        | ~ c3_1(X61)
        | c0_1(X61) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f399,plain,
    ( spl0_18
    | ~ spl0_11
    | spl0_16
    | spl0_19 ),
    inference(avatar_split_clause,[],[f293,f397,f385,f363,f393]) ).

fof(f401,definition,
    ( spl0_20
  <=> ! [X60] :
        ( ~ c2_1(X60)
        | c3_1(X60)
        | ~ c1_1(X60) ) ),
    introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).

fof(f402,plain,
    ( ! [X60] :
        ( ~ c1_1(X60)
        | c3_1(X60)
        | ~ c2_1(X60) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f403,plain,
    ( spl0_3
    | spl0_5
    | spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f292,f401,f385,f337,f328]) ).

fof(f405,definition,
    ( spl0_21
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).

fof(f408,plain,
    ( ~ spl0_21
    | spl0_17
    | spl0_16
    | spl0_20 ),
    inference(avatar_split_clause,[],[f298,f401,f385,f389,f405]) ).

fof(f410,definition,
    ( spl0_22
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).

fof(f414,definition,
    ( spl0_23
  <=> ! [X57] :
        ( ~ c2_1(X57)
        | c3_1(X57)
        | c0_1(X57) ) ),
    introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).

fof(f415,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c3_1(X57)
        | c0_1(X57) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f416,plain,
    ( spl0_22
    | ~ spl0_9
    | spl0_16
    | spl0_23 ),
    inference(avatar_split_clause,[],[f290,f414,f385,f354,f410]) ).

fof(f418,definition,
    ( spl0_24
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).

fof(f422,definition,
    ( spl0_25
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c3_1(X56) ) ),
    introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).

fof(f423,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | ~ c3_1(X56) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f424,plain,
    ( spl0_24
    | ~ spl0_11
    | spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f289,f422,f385,f363,f418]) ).

fof(f426,definition,
    ( spl0_26
  <=> ! [X55] :
        ( c0_1(X55)
        | c3_1(X55)
        | c2_1(X55) ) ),
    introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).

fof(f427,plain,
    ( ! [X55] :
        ( c2_1(X55)
        | c3_1(X55)
        | c0_1(X55) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f429,definition,
    ( spl0_27
  <=> ! [X54] :
        ( ~ c2_1(X54)
        | ~ c1_1(X54)
        | ~ c3_1(X54) ) ),
    introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).

fof(f430,plain,
    ( ! [X54] :
        ( ~ c1_1(X54)
        | ~ c2_1(X54)
        | ~ c3_1(X54) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f431,plain,
    ( spl0_26
    | spl0_27
    | spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f299,f422,f385,f429,f426]) ).

fof(f433,definition,
    ( spl0_28
  <=> ! [X52] :
        ( c1_1(X52)
        | c2_1(X52)
        | ~ c3_1(X52) ) ),
    introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).

fof(f434,plain,
    ( ! [X52] :
        ( c1_1(X52)
        | c2_1(X52)
        | ~ c3_1(X52) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f435,plain,
    ( spl0_6
    | spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f287,f433,f385,f341]) ).

fof(f437,plain,
    ( spl0_26
    | spl0_16
    | spl0_28 ),
    inference(avatar_split_clause,[],[f300,f433,f385,f426]) ).

fof(f439,definition,
    ( spl0_29
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).

fof(f443,definition,
    ( spl0_30
  <=> ! [X47] :
        ( c1_1(X47)
        | c3_1(X47)
        | ~ c2_1(X47) ) ),
    introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).

fof(f444,plain,
    ( ! [X47] :
        ( c1_1(X47)
        | c3_1(X47)
        | ~ c2_1(X47) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f443]) ).

fof(f445,plain,
    ( spl0_29
    | spl0_23
    | spl0_16
    | spl0_30 ),
    inference(avatar_split_clause,[],[f301,f443,f385,f414,f439]) ).

fof(f447,definition,
    ( spl0_31
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).

fof(f451,definition,
    ( spl0_32
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).

fof(f455,definition,
    ( spl0_33
  <=> ! [X46] :
        ( c1_1(X46)
        | c0_1(X46)
        | ~ c2_1(X46) ) ),
    introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X46] :
        ( c1_1(X46)
        | c0_1(X46)
        | ~ c2_1(X46) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( spl0_31
    | ~ spl0_32
    | spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f283,f455,f385,f451,f447]) ).

fof(f459,definition,
    ( spl0_34
  <=> ! [X45] :
        ( c1_1(X45)
        | c3_1(X45)
        | c0_1(X45) ) ),
    introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).

fof(f460,plain,
    ( ! [X45] :
        ( c1_1(X45)
        | c3_1(X45)
        | c0_1(X45) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f461,plain,
    ( spl0_4
    | spl0_34
    | spl0_16
    | spl0_33 ),
    inference(avatar_split_clause,[],[f302,f455,f385,f459,f333]) ).

fof(f463,definition,
    ( spl0_35
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).

fof(f467,definition,
    ( spl0_36
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).

fof(f471,definition,
    ( spl0_37
  <=> ! [X43] :
        ( ~ c0_1(X43)
        | c3_1(X43)
        | c2_1(X43) ) ),
    introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).

fof(f472,plain,
    ( ! [X43] :
        ( c2_1(X43)
        | c3_1(X43)
        | ~ c0_1(X43) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f471]) ).

fof(f473,plain,
    ( ~ spl0_35
    | ~ spl0_36
    | spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f281,f471,f385,f467,f463]) ).

fof(f475,definition,
    ( spl0_38
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).

fof(f478,plain,
    ( ~ spl0_38
    | spl0_19
    | spl0_16
    | spl0_37 ),
    inference(avatar_split_clause,[],[f303,f471,f385,f397,f475]) ).

fof(f480,definition,
    ( spl0_39
  <=> ! [X40] :
        ( c1_1(X40)
        | c3_1(X40)
        | c2_1(X40) ) ),
    introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).

fof(f481,plain,
    ( ! [X40] :
        ( c1_1(X40)
        | c3_1(X40)
        | c2_1(X40) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f483,definition,
    ( spl0_40
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c3_1(X39)
        | ~ c1_1(X39) ) ),
    introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).

fof(f484,plain,
    ( ! [X39] :
        ( ~ c1_1(X39)
        | c3_1(X39)
        | ~ c0_1(X39) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f485,plain,
    ( spl0_15
    | spl0_39
    | spl0_16
    | spl0_40 ),
    inference(avatar_split_clause,[],[f304,f483,f385,f480,f381]) ).

fof(f487,definition,
    ( spl0_41
  <=> ! [X38] :
        ( c1_1(X38)
        | c0_1(X38)
        | ~ c3_1(X38) ) ),
    introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).

fof(f488,plain,
    ( ! [X38] :
        ( c1_1(X38)
        | c0_1(X38)
        | ~ c3_1(X38) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f487]) ).

fof(f491,definition,
    ( spl0_42
  <=> ! [X36] :
        ( ~ c0_1(X36)
        | c2_1(X36)
        | ~ c1_1(X36) ) ),
    introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).

fof(f492,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c2_1(X36)
        | ~ c0_1(X36) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f493,plain,
    ( spl0_5
    | ~ spl0_8
    | spl0_16
    | spl0_42 ),
    inference(avatar_split_clause,[],[f277,f491,f385,f350,f337]) ).

fof(f495,plain,
    ( ~ spl0_11
    | ~ spl0_36
    | spl0_16
    | spl0_42 ),
    inference(avatar_split_clause,[],[f275,f491,f385,f467,f363]) ).

fof(f497,definition,
    ( spl0_43
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | c2_1(X33)
        | ~ c3_1(X33) ) ),
    introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).

fof(f498,plain,
    ( ! [X33] :
        ( c2_1(X33)
        | ~ c0_1(X33)
        | ~ c3_1(X33) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f499,plain,
    ( ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f274,f497,f385,f376,f363]) ).

fof(f500,plain,
    ( spl0_17
    | spl0_27
    | spl0_16
    | spl0_43 ),
    inference(avatar_split_clause,[],[f306,f497,f385,f429,f389]) ).

fof(f502,definition,
    ( spl0_44
  <=> ! [X29] :
        ( ~ c1_1(X29)
        | c3_1(X29)
        | c2_1(X29) ) ),
    introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).

fof(f503,plain,
    ( ! [X29] :
        ( ~ c1_1(X29)
        | c3_1(X29)
        | c2_1(X29) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f505,definition,
    ( spl0_45
  <=> ! [X28] :
        ( ~ c0_1(X28)
        | c3_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).

fof(f506,plain,
    ( ! [X28] :
        ( ~ c2_1(X28)
        | c3_1(X28)
        | ~ c0_1(X28) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f505]) ).

fof(f507,plain,
    ( spl0_12
    | spl0_44
    | spl0_16
    | spl0_45 ),
    inference(avatar_split_clause,[],[f307,f505,f385,f502,f367]) ).

fof(f509,definition,
    ( spl0_46
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).

fof(f513,definition,
    ( spl0_47
  <=> ! [X27] :
        ( ~ c3_1(X27)
        | c2_1(X27)
        | ~ c1_1(X27) ) ),
    introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).

fof(f514,plain,
    ( ! [X27] :
        ( ~ c1_1(X27)
        | c2_1(X27)
        | ~ c3_1(X27) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f516,definition,
    ( spl0_48
  <=> ! [X26] :
        ( ~ c0_1(X26)
        | ~ c1_1(X26)
        | ~ c2_1(X26) ) ),
    introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).

fof(f517,plain,
    ( ! [X26] :
        ( ~ c1_1(X26)
        | ~ c0_1(X26)
        | ~ c2_1(X26) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f516]) ).

fof(f518,plain,
    ( spl0_46
    | spl0_47
    | spl0_16
    | spl0_48 ),
    inference(avatar_split_clause,[],[f308,f516,f385,f513,f509]) ).

fof(f520,definition,
    ( spl0_49
  <=> ! [X23] :
        ( ~ c0_1(X23)
        | ~ c3_1(X23)
        | ~ c2_1(X23) ) ),
    introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).

fof(f521,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | ~ c3_1(X23)
        | ~ c0_1(X23) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f520]) ).

fof(f522,plain,
    ( spl0_20
    | spl0_41
    | spl0_16
    | spl0_49 ),
    inference(avatar_split_clause,[],[f309,f520,f385,f487,f401]) ).

fof(f524,definition,
    ( spl0_50
  <=> ! [X22] :
        ( c1_1(X22)
        | ~ c3_1(X22)
        | ~ c2_1(X22) ) ),
    introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).

fof(f525,plain,
    ( ! [X22] :
        ( c1_1(X22)
        | ~ c3_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f524]) ).

fof(f526,plain,
    ( spl0_50
    | spl0_43
    | spl0_16
    | spl0_49 ),
    inference(avatar_split_clause,[],[f310,f520,f385,f497,f524]) ).

fof(f528,definition,
    ( spl0_51
  <=> ! [X18] :
        ( ~ c0_1(X18)
        | c3_1(X18)
        | c1_1(X18) ) ),
    introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).

fof(f529,plain,
    ( ! [X18] :
        ( c1_1(X18)
        | c3_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f530,plain,
    ( ~ spl0_7
    | spl0_33
    | spl0_16
    | spl0_51 ),
    inference(avatar_split_clause,[],[f311,f528,f385,f455,f346]) ).

fof(f532,definition,
    ( spl0_52
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).

fof(f536,definition,
    ( spl0_53
  <=> ! [X17] :
        ( ~ c0_1(X17)
        | c2_1(X17)
        | c1_1(X17) ) ),
    introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).

fof(f537,plain,
    ( ! [X17] :
        ( c1_1(X17)
        | c2_1(X17)
        | ~ c0_1(X17) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f536]) ).

fof(f538,plain,
    ( ~ spl0_52
    | ~ spl0_32
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f267,f536,f385,f451,f532]) ).

fof(f541,definition,
    ( spl0_54
  <=> ! [X12] :
        ( ~ c0_1(X12)
        | ~ c1_1(X12)
        | ~ c3_1(X12) ) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f542,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | ~ c0_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f543,plain,
    ( spl0_39
    | spl0_54
    | spl0_16
    | spl0_53 ),
    inference(avatar_split_clause,[],[f313,f536,f385,f541,f480]) ).

fof(f548,definition,
    ( spl0_56
  <=> ! [X9] :
        ( ~ c0_1(X9)
        | ~ c3_1(X9)
        | c1_1(X9) ) ),
    introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).

fof(f549,plain,
    ( ! [X9] :
        ( c1_1(X9)
        | ~ c3_1(X9)
        | ~ c0_1(X9) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f552,definition,
    ( spl0_57
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).

fof(f555,plain,
    ( ~ spl0_57
    | spl0_39
    | spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f315,f548,f385,f480,f552]) ).

fof(f556,plain,
    ( spl0_42
    | spl0_16
    | spl0_56 ),
    inference(avatar_split_clause,[],[f316,f548,f385,f491]) ).

fof(f558,definition,
    ( spl0_58
  <=> ! [X4] :
        ( c1_1(X4)
        | c2_1(X4)
        | c0_1(X4) ) ),
    introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).

fof(f559,plain,
    ( ! [X4] :
        ( c1_1(X4)
        | c2_1(X4)
        | c0_1(X4) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f558]) ).

fof(f561,definition,
    ( spl0_59
  <=> ! [X3] :
        ( ~ c0_1(X3)
        | ~ c2_1(X3)
        | c1_1(X3) ) ),
    introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).

fof(f562,plain,
    ( ! [X3] :
        ( c1_1(X3)
        | ~ c2_1(X3)
        | ~ c0_1(X3) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f563,plain,
    ( spl0_1
    | spl0_58
    | spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f317,f561,f385,f558,f320]) ).

fof(f564,plain,
    ( spl0_45
    | spl0_49
    | spl0_16
    | spl0_59 ),
    inference(avatar_split_clause,[],[f318,f561,f385,f520,f505]) ).

fof(f566,definition,
    ( spl0_60
  <=> c3_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).

fof(f569,plain,
    ( ~ spl0_60
    | spl0_36 ),
    inference(avatar_split_clause,[],[f259,f467,f566]) ).

fof(f571,definition,
    ( spl0_61
  <=> c1_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).

fof(f573,plain,
    ( c1_1(a11)
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f574,plain,
    ( spl0_61
    | spl0_36 ),
    inference(avatar_split_clause,[],[f258,f467,f571]) ).

fof(f576,definition,
    ( spl0_62
  <=> c0_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).

fof(f579,plain,
    ( ~ spl0_62
    | spl0_36 ),
    inference(avatar_split_clause,[],[f257,f467,f576]) ).

fof(f582,definition,
    ( spl0_63
  <=> c3_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).

fof(f585,plain,
    ( ~ spl0_63
    | spl0_11 ),
    inference(avatar_split_clause,[],[f255,f363,f582]) ).

fof(f587,definition,
    ( spl0_64
  <=> c2_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).

fof(f589,plain,
    ( ~ c2_1(a10)
    | spl0_64 ),
    inference(avatar_component_clause,[],[f587]) ).

fof(f590,plain,
    ( ~ spl0_64
    | spl0_11 ),
    inference(avatar_split_clause,[],[f254,f363,f587]) ).

fof(f592,definition,
    ( spl0_65
  <=> c0_1(a10) ),
    introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).

fof(f595,plain,
    ( ~ spl0_65
    | spl0_11 ),
    inference(avatar_split_clause,[],[f253,f363,f592]) ).

fof(f598,definition,
    ( spl0_66
  <=> c2_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).

fof(f600,plain,
    ( ~ c2_1(a9)
    | spl0_66 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f601,plain,
    ( ~ spl0_66
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f251,f376,f598]) ).

fof(f603,definition,
    ( spl0_67
  <=> c1_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).

fof(f605,plain,
    ( c1_1(a9)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f603]) ).

fof(f606,plain,
    ( spl0_67
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f55,f376,f603]) ).

fof(f608,definition,
    ( spl0_68
  <=> c0_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).

fof(f611,plain,
    ( ~ spl0_68
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f250,f376,f608]) ).

fof(f614,definition,
    ( spl0_69
  <=> c3_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).

fof(f617,plain,
    ( ~ spl0_69
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f248,f328,f614]) ).

fof(f619,definition,
    ( spl0_70
  <=> c2_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).

fof(f621,plain,
    ( ~ c2_1(a3)
    | spl0_70 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f622,plain,
    ( ~ spl0_70
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f247,f328,f619]) ).

fof(f624,definition,
    ( spl0_71
  <=> c1_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).

fof(f626,plain,
    ( c1_1(a3)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f627,plain,
    ( spl0_71
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f60,f328,f624]) ).

fof(f628,plain,
    ( ~ spl0_16
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f246,f328,f385]) ).

fof(f630,definition,
    ( spl0_72
  <=> c1_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).

fof(f632,plain,
    ( ~ c1_1(a53)
    | spl0_72 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f633,plain,
    ( ~ spl0_72
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f62,f324,f630]) ).

fof(f635,definition,
    ( spl0_73
  <=> c0_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).

fof(f637,plain,
    ( c0_1(a53)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f638,plain,
    ( spl0_73
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f245,f324,f635]) ).

fof(f640,definition,
    ( spl0_74
  <=> c3_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).

fof(f643,plain,
    ( ~ spl0_74
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f244,f324,f640]) ).

fof(f644,plain,
    ( ~ spl0_16
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f243,f324,f385]) ).

fof(f662,definition,
    ( spl0_78
  <=> c1_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).

fof(f664,plain,
    ( ~ c1_1(a42)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f665,plain,
    ( ~ spl0_78
    | spl0_13 ),
    inference(avatar_split_clause,[],[f238,f372,f662]) ).

fof(f667,definition,
    ( spl0_79
  <=> c3_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).

fof(f670,plain,
    ( ~ spl0_79
    | spl0_13 ),
    inference(avatar_split_clause,[],[f237,f372,f667]) ).

fof(f672,definition,
    ( spl0_80
  <=> c2_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).

fof(f674,plain,
    ( ~ c2_1(a42)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f675,plain,
    ( ~ spl0_80
    | spl0_13 ),
    inference(avatar_split_clause,[],[f236,f372,f672]) ).

fof(f678,definition,
    ( spl0_81
  <=> c3_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).

fof(f681,plain,
    ( spl0_81
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f234,f393,f678]) ).

fof(f683,definition,
    ( spl0_82
  <=> c0_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).

fof(f686,plain,
    ( spl0_82
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f233,f393,f683]) ).

fof(f688,definition,
    ( spl0_83
  <=> c1_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).

fof(f690,plain,
    ( c1_1(a37)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f691,plain,
    ( spl0_83
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f76,f393,f688]) ).

fof(f694,definition,
    ( spl0_84
  <=> c0_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).

fof(f697,plain,
    ( spl0_84
    | spl0_21 ),
    inference(avatar_split_clause,[],[f231,f405,f694]) ).

fof(f699,definition,
    ( spl0_85
  <=> c3_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).

fof(f702,plain,
    ( ~ spl0_85
    | spl0_21 ),
    inference(avatar_split_clause,[],[f230,f405,f699]) ).

fof(f704,definition,
    ( spl0_86
  <=> c2_1(a33) ),
    introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).

fof(f706,plain,
    ( ~ c2_1(a33)
    | spl0_86 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f707,plain,
    ( ~ spl0_86
    | spl0_21 ),
    inference(avatar_split_clause,[],[f229,f405,f704]) ).

fof(f710,definition,
    ( spl0_87
  <=> c3_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).

fof(f713,plain,
    ( spl0_87
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f227,f410,f710]) ).

fof(f715,definition,
    ( spl0_88
  <=> c1_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).

fof(f717,plain,
    ( ~ c1_1(a32)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f718,plain,
    ( ~ spl0_88
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f83,f410,f715]) ).

fof(f720,definition,
    ( spl0_89
  <=> c0_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).

fof(f722,plain,
    ( c0_1(a32)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f723,plain,
    ( spl0_89
    | ~ spl0_22 ),
    inference(avatar_split_clause,[],[f226,f410,f720]) ).

fof(f726,definition,
    ( spl0_90
  <=> c1_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).

fof(f728,plain,
    ( ~ c1_1(a31)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f726]) ).

fof(f729,plain,
    ( ~ spl0_90
    | spl0_9 ),
    inference(avatar_split_clause,[],[f224,f354,f726]) ).

fof(f731,definition,
    ( spl0_91
  <=> c2_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).

fof(f733,plain,
    ( ~ c2_1(a31)
    | spl0_91 ),
    inference(avatar_component_clause,[],[f731]) ).

fof(f734,plain,
    ( ~ spl0_91
    | spl0_9 ),
    inference(avatar_split_clause,[],[f223,f354,f731]) ).

fof(f736,definition,
    ( spl0_92
  <=> c0_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).

fof(f739,plain,
    ( ~ spl0_92
    | spl0_9 ),
    inference(avatar_split_clause,[],[f222,f354,f736]) ).

fof(f742,definition,
    ( spl0_93
  <=> c2_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).

fof(f744,plain,
    ( c2_1(a30)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f745,plain,
    ( spl0_93
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f220,f418,f742]) ).

fof(f747,definition,
    ( spl0_94
  <=> c0_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).

fof(f750,plain,
    ( spl0_94
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f219,f418,f747]) ).

fof(f752,definition,
    ( spl0_95
  <=> c1_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).

fof(f754,plain,
    ( c1_1(a30)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f755,plain,
    ( spl0_95
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f92,f418,f752]) ).

fof(f758,definition,
    ( spl0_96
  <=> c3_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).

fof(f761,plain,
    ( spl0_96
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f217,f439,f758]) ).

fof(f763,definition,
    ( spl0_97
  <=> c1_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).

fof(f765,plain,
    ( c1_1(a25)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f766,plain,
    ( spl0_97
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f95,f439,f763]) ).

fof(f768,definition,
    ( spl0_98
  <=> c0_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).

fof(f770,plain,
    ( ~ c0_1(a25)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f771,plain,
    ( ~ spl0_98
    | ~ spl0_29 ),
    inference(avatar_split_clause,[],[f216,f439,f768]) ).

fof(f774,definition,
    ( spl0_99
  <=> c1_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).

fof(f776,plain,
    ( ~ c1_1(a24)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f777,plain,
    ( ~ spl0_99
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f98,f447,f774]) ).

fof(f779,definition,
    ( spl0_100
  <=> c0_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).

fof(f781,plain,
    ( c0_1(a24)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f782,plain,
    ( spl0_100
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f214,f447,f779]) ).

fof(f784,definition,
    ( spl0_101
  <=> c2_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).

fof(f786,plain,
    ( ~ c2_1(a24)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f787,plain,
    ( ~ spl0_101
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f213,f447,f784]) ).

fof(f790,definition,
    ( spl0_102
  <=> c3_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).

fof(f793,plain,
    ( spl0_102
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f211,f333,f790]) ).

fof(f795,definition,
    ( spl0_103
  <=> c2_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).

fof(f797,plain,
    ( c2_1(a22)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f798,plain,
    ( spl0_103
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f210,f333,f795]) ).

fof(f800,definition,
    ( spl0_104
  <=> c0_1(a22) ),
    introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).

fof(f803,plain,
    ( spl0_104
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f209,f333,f800]) ).

fof(f806,definition,
    ( spl0_105
  <=> c2_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).

fof(f809,plain,
    ( spl0_105
    | spl0_35 ),
    inference(avatar_split_clause,[],[f207,f463,f806]) ).

fof(f811,definition,
    ( spl0_106
  <=> c1_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).

fof(f813,plain,
    ( ~ c1_1(a21)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f811]) ).

fof(f814,plain,
    ( ~ spl0_106
    | spl0_35 ),
    inference(avatar_split_clause,[],[f206,f463,f811]) ).

fof(f816,definition,
    ( spl0_107
  <=> c0_1(a21) ),
    introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).

fof(f819,plain,
    ( spl0_107
    | spl0_35 ),
    inference(avatar_split_clause,[],[f205,f463,f816]) ).

fof(f822,definition,
    ( spl0_108
  <=> c3_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).

fof(f825,plain,
    ( spl0_108
    | spl0_38 ),
    inference(avatar_split_clause,[],[f203,f475,f822]) ).

fof(f827,definition,
    ( spl0_109
  <=> c1_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).

fof(f829,plain,
    ( ~ c1_1(a19)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f827]) ).

fof(f830,plain,
    ( ~ spl0_109
    | spl0_38 ),
    inference(avatar_split_clause,[],[f202,f475,f827]) ).

fof(f832,definition,
    ( spl0_110
  <=> c2_1(a19) ),
    introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).

fof(f835,plain,
    ( ~ spl0_110
    | spl0_38 ),
    inference(avatar_split_clause,[],[f201,f475,f832]) ).

fof(f838,definition,
    ( spl0_111
  <=> c3_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).

fof(f841,plain,
    ( spl0_111
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f199,f381,f838]) ).

fof(f843,definition,
    ( spl0_112
  <=> c2_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).

fof(f845,plain,
    ( ~ c2_1(a18)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f846,plain,
    ( ~ spl0_112
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f198,f381,f843]) ).

fof(f848,definition,
    ( spl0_113
  <=> c0_1(a18) ),
    introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).

fof(f851,plain,
    ( ~ spl0_113
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f197,f381,f848]) ).

fof(f854,definition,
    ( spl0_114
  <=> c3_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).

fof(f857,plain,
    ( spl0_114
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f195,f337,f854]) ).

fof(f859,definition,
    ( spl0_115
  <=> c2_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).

fof(f861,plain,
    ( c2_1(a16)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f859]) ).

fof(f862,plain,
    ( spl0_115
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f194,f337,f859]) ).

fof(f864,definition,
    ( spl0_116
  <=> c0_1(a16) ),
    introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).

fof(f867,plain,
    ( ~ spl0_116
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f193,f337,f864]) ).

fof(f870,definition,
    ( spl0_117
  <=> c2_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).

fof(f872,plain,
    ( c2_1(a15)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f870]) ).

fof(f873,plain,
    ( spl0_117
    | spl0_8 ),
    inference(avatar_split_clause,[],[f191,f350,f870]) ).

fof(f875,definition,
    ( spl0_118
  <=> c1_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).

fof(f877,plain,
    ( ~ c1_1(a15)
    | spl0_118 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f878,plain,
    ( ~ spl0_118
    | spl0_8 ),
    inference(avatar_split_clause,[],[f190,f350,f875]) ).

fof(f880,definition,
    ( spl0_119
  <=> c0_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).

fof(f883,plain,
    ( ~ spl0_119
    | spl0_8 ),
    inference(avatar_split_clause,[],[f189,f350,f880]) ).

fof(f886,definition,
    ( spl0_120
  <=> c2_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).

fof(f888,plain,
    ( c2_1(a14)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f889,plain,
    ( spl0_120
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f187,f341,f886]) ).

fof(f891,definition,
    ( spl0_121
  <=> c3_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).

fof(f894,plain,
    ( ~ spl0_121
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f186,f341,f891]) ).

fof(f896,definition,
    ( spl0_122
  <=> c0_1(a14) ),
    introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).

fof(f899,plain,
    ( ~ spl0_122
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f185,f341,f896]) ).

fof(f902,definition,
    ( spl0_123
  <=> c2_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).

fof(f904,plain,
    ( c2_1(a8)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f902]) ).

fof(f905,plain,
    ( spl0_123
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f183,f367,f902]) ).

fof(f907,definition,
    ( spl0_124
  <=> c1_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).

fof(f909,plain,
    ( c1_1(a8)
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f910,plain,
    ( spl0_124
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f131,f367,f907]) ).

fof(f912,definition,
    ( spl0_125
  <=> c0_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).

fof(f915,plain,
    ( ~ spl0_125
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f182,f367,f912]) ).

fof(f918,definition,
    ( spl0_126
  <=> c0_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).

fof(f921,plain,
    ( spl0_126
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f180,f509,f918]) ).

fof(f923,definition,
    ( spl0_127
  <=> c3_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).

fof(f926,plain,
    ( ~ spl0_127
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f179,f509,f923]) ).

fof(f928,definition,
    ( spl0_128
  <=> c1_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).

fof(f930,plain,
    ( c1_1(a7)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f931,plain,
    ( spl0_128
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f136,f509,f928]) ).

fof(f934,definition,
    ( spl0_129
  <=> c2_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).

fof(f937,plain,
    ( spl0_129
    | spl0_7 ),
    inference(avatar_split_clause,[],[f177,f346,f934]) ).

fof(f939,definition,
    ( spl0_130
  <=> c3_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).

fof(f942,plain,
    ( ~ spl0_130
    | spl0_7 ),
    inference(avatar_split_clause,[],[f176,f346,f939]) ).

fof(f944,definition,
    ( spl0_131
  <=> c1_1(a6) ),
    introduced(definition,[new_symbols(definition,[spl0_131])],[avatar_definition]) ).

fof(f946,plain,
    ( c1_1(a6)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f947,plain,
    ( spl0_131
    | spl0_7 ),
    inference(avatar_split_clause,[],[f175,f346,f944]) ).

fof(f950,definition,
    ( spl0_132
  <=> c3_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).

fof(f953,plain,
    ( spl0_132
    | spl0_52 ),
    inference(avatar_split_clause,[],[f173,f532,f950]) ).

fof(f955,definition,
    ( spl0_133
  <=> c2_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_133])],[avatar_definition]) ).

fof(f957,plain,
    ( c2_1(a5)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f958,plain,
    ( spl0_133
    | spl0_52 ),
    inference(avatar_split_clause,[],[f172,f532,f955]) ).

fof(f960,definition,
    ( spl0_134
  <=> c1_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).

fof(f962,plain,
    ( ~ c1_1(a5)
    | spl0_134 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f963,plain,
    ( ~ spl0_134
    | spl0_52 ),
    inference(avatar_split_clause,[],[f171,f532,f960]) ).

fof(f966,definition,
    ( spl0_135
  <=> c3_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).

fof(f969,plain,
    ( spl0_135
    | spl0_32 ),
    inference(avatar_split_clause,[],[f169,f451,f966]) ).

fof(f971,definition,
    ( spl0_136
  <=> c2_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).

fof(f973,plain,
    ( c2_1(a4)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f971]) ).

fof(f974,plain,
    ( spl0_136
    | spl0_32 ),
    inference(avatar_split_clause,[],[f168,f451,f971]) ).

fof(f976,definition,
    ( spl0_137
  <=> c1_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).

fof(f978,plain,
    ( c1_1(a4)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f979,plain,
    ( spl0_137
    | spl0_32 ),
    inference(avatar_split_clause,[],[f167,f451,f976]) ).

fof(f982,definition,
    ( spl0_138
  <=> c3_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_138])],[avatar_definition]) ).

fof(f985,plain,
    ( spl0_138
    | spl0_57 ),
    inference(avatar_split_clause,[],[f165,f552,f982]) ).

fof(f987,definition,
    ( spl0_139
  <=> c0_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).

fof(f990,plain,
    ( spl0_139
    | spl0_57 ),
    inference(avatar_split_clause,[],[f164,f552,f987]) ).

fof(f992,definition,
    ( spl0_140
  <=> c2_1(a2) ),
    introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).

fof(f994,plain,
    ( ~ c2_1(a2)
    | spl0_140 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f995,plain,
    ( ~ spl0_140
    | spl0_57 ),
    inference(avatar_split_clause,[],[f163,f552,f992]) ).

fof(f998,definition,
    ( spl0_141
  <=> c2_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).

fof(f1000,plain,
    ( c2_1(a1)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f998]) ).

fof(f1001,plain,
    ( spl0_141
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f161,f320,f998]) ).

fof(f1003,definition,
    ( spl0_142
  <=> c0_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).

fof(f1006,plain,
    ( spl0_142
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f160,f320,f1003]) ).

fof(f1008,definition,
    ( spl0_143
  <=> c3_1(a1) ),
    introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).

fof(f1011,plain,
    ( ~ spl0_143
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f159,f320,f1008]) ).

fof(f1012,plain,
    ( ~ spl0_16
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f158,f320,f385]) ).

fof(f1015,definition,
    ( spl0_144
  <=> c0_1(a3) ),
    introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).

fof(f1041,plain,
    ( c3_1(a31)
    | c0_1(a31)
    | ~ spl0_26
    | spl0_91 ),
    inference(resolution,[],[f427,f733]) ).

fof(f1043,plain,
    ( c3_1(a42)
    | c0_1(a42)
    | ~ spl0_26
    | spl0_80 ),
    inference(resolution,[],[f427,f674]) ).

fof(f1044,plain,
    ( c3_1(a9)
    | c0_1(a9)
    | ~ spl0_26
    | spl0_66 ),
    inference(resolution,[],[f427,f600]) ).

fof(f1045,plain,
    ( c3_1(a10)
    | c0_1(a10)
    | ~ spl0_26
    | spl0_64 ),
    inference(resolution,[],[f427,f589]) ).

fof(f1049,definition,
    ( spl0_145
  <=> c3_1(a9) ),
    introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).

fof(f1054,definition,
    ( spl0_146
  <=> c0_1(a42) ),
    introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).

fof(f1060,definition,
    ( spl0_147
  <=> c3_1(a31) ),
    introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).

fof(f1065,definition,
    ( spl0_148
  <=> c3_1(a30) ),
    introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).

fof(f1070,definition,
    ( spl0_149
  <=> c3_1(a24) ),
    introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).

fof(f1087,definition,
    ( spl0_152
  <=> c3_1(a15) ),
    introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).

fof(f1093,definition,
    ( spl0_153
  <=> c3_1(a8) ),
    introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).

fof(f1103,definition,
    ( spl0_155
  <=> c0_1(a5) ),
    introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).

fof(f1108,definition,
    ( spl0_156
  <=> c0_1(a4) ),
    introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).

fof(f1120,plain,
    ( c0_1(a16)
    | ~ c3_1(a16)
    | ~ spl0_25
    | ~ spl0_115 ),
    inference(resolution,[],[f423,f861]) ).

fof(f1121,plain,
    ( ~ spl0_114
    | spl0_116
    | ~ spl0_25
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1120,f859,f422,f864,f854]) ).

fof(f1123,plain,
    ( c0_1(a8)
    | ~ c3_1(a8)
    | ~ spl0_25
    | ~ spl0_123 ),
    inference(resolution,[],[f904,f423]) ).

fof(f1125,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | c0_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(resolution,[],[f398,f423]) ).

fof(f1133,plain,
    ( ~ c3_1(a18)
    | c0_1(a18)
    | ~ spl0_19
    | spl0_112 ),
    inference(resolution,[],[f398,f845]) ).

fof(f1143,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_19
    | ~ spl0_25 ),
    inference(duplicate_literal_removal,[],[f1125]) ).

fof(f1157,plain,
    ( ~ c3_1(a25)
    | ~ spl0_19
    | ~ spl0_25
    | spl0_98 ),
    inference(resolution,[],[f1143,f770]) ).

fof(f1169,plain,
    ( c3_1(a8)
    | ~ c2_1(a8)
    | ~ spl0_20
    | ~ spl0_124 ),
    inference(resolution,[],[f402,f909]) ).

fof(f1172,plain,
    ( ~ spl0_153
    | spl0_125
    | ~ spl0_25
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1123,f902,f422,f912,f1093]) ).

fof(f1181,plain,
    ( c2_1(a19)
    | ~ c3_1(a19)
    | ~ spl0_28
    | spl0_109 ),
    inference(resolution,[],[f434,f829]) ).

fof(f1186,plain,
    ( c2_1(a31)
    | ~ c3_1(a31)
    | ~ spl0_28
    | spl0_90 ),
    inference(resolution,[],[f434,f728]) ).

fof(f1198,plain,
    ( c3_1(a15)
    | ~ c2_1(a15)
    | ~ spl0_30
    | spl0_118 ),
    inference(resolution,[],[f444,f877]) ).

fof(f1213,definition,
    ( spl0_157
  <=> c2_1(a11) ),
    introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).

fof(f1214,plain,
    ( c2_1(a11)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f1215,plain,
    ( ~ c2_1(a11)
    | spl0_157 ),
    inference(avatar_component_clause,[],[f1213]) ).

fof(f1218,definition,
    ( spl0_158
  <=> c2_1(a53) ),
    introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).

fof(f1228,definition,
    ( spl0_160
  <=> c2_1(a32) ),
    introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).

fof(f1230,plain,
    ( ~ c2_1(a32)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1228]) ).

fof(f1233,definition,
    ( spl0_161
  <=> c2_1(a25) ),
    introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).

fof(f1234,plain,
    ( c2_1(a25)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f1235,plain,
    ( ~ c2_1(a25)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1233]) ).

fof(f1238,definition,
    ( spl0_162
  <=> c2_1(a7) ),
    introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).

fof(f1240,plain,
    ( ~ c2_1(a7)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f1242,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_33 ),
    inference(resolution,[],[f456,f402]) ).

fof(f1260,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f1242]) ).

fof(f1278,plain,
    ( c3_1(a24)
    | ~ c0_1(a24)
    | ~ spl0_37
    | spl0_101 ),
    inference(resolution,[],[f472,f786]) ).

fof(f1292,plain,
    ( ~ spl0_108
    | spl0_110
    | ~ spl0_28
    | spl0_109 ),
    inference(avatar_split_clause,[],[f1181,f827,f433,f832,f822]) ).

fof(f1295,plain,
    ( c3_1(a11)
    | ~ c2_1(a11)
    | ~ spl0_20
    | ~ spl0_61 ),
    inference(resolution,[],[f573,f402]) ).

fof(f1302,plain,
    ( ~ spl0_100
    | spl0_149
    | ~ spl0_37
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1278,f784,f471,f1070,f779]) ).

fof(f1310,plain,
    ( c0_1(a5)
    | ~ c2_1(a5)
    | ~ spl0_33
    | spl0_134 ),
    inference(resolution,[],[f456,f962]) ).

fof(f1332,plain,
    ( c3_1(a7)
    | ~ c0_1(a7)
    | ~ spl0_37
    | spl0_162 ),
    inference(resolution,[],[f472,f1240]) ).

fof(f1343,plain,
    ( c3_1(a33)
    | ~ c0_1(a33)
    | ~ spl0_37
    | spl0_86 ),
    inference(resolution,[],[f472,f706]) ).

fof(f1359,plain,
    ( c3_1(a24)
    | c2_1(a24)
    | ~ spl0_39
    | spl0_99 ),
    inference(resolution,[],[f481,f776]) ).

fof(f1362,plain,
    ( c3_1(a31)
    | c2_1(a31)
    | ~ spl0_39
    | spl0_90 ),
    inference(resolution,[],[f481,f728]) ).

fof(f1364,plain,
    ( c3_1(a42)
    | c2_1(a42)
    | ~ spl0_39
    | spl0_78 ),
    inference(resolution,[],[f481,f664]) ).

fof(f1366,plain,
    ( c3_1(a53)
    | c2_1(a53)
    | ~ spl0_39
    | spl0_72 ),
    inference(resolution,[],[f481,f632]) ).

fof(f1370,plain,
    ( spl0_158
    | spl0_74
    | ~ spl0_39
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1366,f630,f480,f640,f1218]) ).

fof(f1377,plain,
    ( spl0_101
    | spl0_149
    | ~ spl0_39
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1359,f774,f480,f1070,f784]) ).

fof(f1391,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_42 ),
    inference(resolution,[],[f492,f434]) ).

fof(f1396,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f1391]) ).

fof(f1398,definition,
    ( spl0_163
  <=> c2_1(a37) ),
    introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).

fof(f1399,plain,
    ( ~ c2_1(a37)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1400,plain,
    ( c2_1(a37)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1398]) ).

fof(f1405,plain,
    ( ~ c0_1(a2)
    | ~ c3_1(a2)
    | ~ spl0_43
    | spl0_140 ),
    inference(resolution,[],[f498,f994]) ).

fof(f1415,plain,
    ( ~ c0_1(a24)
    | ~ c3_1(a24)
    | ~ spl0_43
    | spl0_101 ),
    inference(resolution,[],[f498,f786]) ).

fof(f1419,plain,
    ( ~ c0_1(a32)
    | ~ c3_1(a32)
    | ~ spl0_43
    | spl0_160 ),
    inference(resolution,[],[f498,f1230]) ).

fof(f1421,plain,
    ( ~ c0_1(a37)
    | ~ c3_1(a37)
    | ~ spl0_43
    | spl0_163 ),
    inference(resolution,[],[f498,f1399]) ).

fof(f1433,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(resolution,[],[f506,f472]) ).

fof(f1434,plain,
    ( c3_1(a1)
    | ~ c0_1(a1)
    | ~ spl0_45
    | ~ spl0_141 ),
    inference(resolution,[],[f506,f1000]) ).

fof(f1440,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_37
    | ~ spl0_45 ),
    inference(duplicate_literal_removal,[],[f1433]) ).

fof(f1442,plain,
    ( ~ spl0_142
    | spl0_143
    | ~ spl0_45
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1434,f998,f505,f1008,f1003]) ).

fof(f1452,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_47 ),
    inference(resolution,[],[f514,f434]) ).

fof(f1457,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_28
    | ~ spl0_47 ),
    inference(duplicate_literal_removal,[],[f1452]) ).

fof(f1470,plain,
    ( ~ spl0_126
    | spl0_127
    | ~ spl0_37
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1332,f1238,f471,f923,f918]) ).

fof(f1474,plain,
    ( c3_1(a7)
    | ~ c2_1(a7)
    | ~ spl0_20
    | ~ spl0_128 ),
    inference(resolution,[],[f930,f402]) ).

fof(f1501,plain,
    ( ~ spl0_157
    | spl0_60
    | ~ spl0_20
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f1295,f571,f401,f566,f1213]) ).

fof(f1514,plain,
    ( c3_1(a53)
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_73 ),
    inference(resolution,[],[f1440,f637]) ).

fof(f1516,plain,
    ( spl0_74
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1514,f635,f505,f471,f640]) ).

fof(f1524,plain,
    ( c3_1(a11)
    | c0_1(a11)
    | ~ spl0_23
    | ~ spl0_157 ),
    inference(resolution,[],[f1214,f415]) ).

fof(f1537,plain,
    ( c3_1(a3)
    | c2_1(a3)
    | ~ spl0_44
    | ~ spl0_71 ),
    inference(resolution,[],[f503,f626]) ).

fof(f1548,plain,
    ( ~ c3_1(a18)
    | ~ spl0_28
    | ~ spl0_47
    | spl0_112 ),
    inference(resolution,[],[f1457,f845]) ).

fof(f1551,plain,
    ( ~ c3_1(a25)
    | ~ spl0_28
    | ~ spl0_47
    | spl0_161 ),
    inference(resolution,[],[f1457,f1235]) ).

fof(f1561,plain,
    ( ~ spl0_111
    | ~ spl0_28
    | ~ spl0_47
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1548,f843,f513,f433,f838]) ).

fof(f1568,plain,
    ( spl0_80
    | spl0_79
    | ~ spl0_39
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1364,f662,f480,f667,f672]) ).

fof(f1578,plain,
    ( ~ spl0_96
    | ~ spl0_28
    | ~ spl0_47
    | spl0_161 ),
    inference(avatar_split_clause,[],[f1551,f1233,f513,f433,f758]) ).

fof(f1587,plain,
    ( ~ spl0_149
    | ~ spl0_100
    | ~ spl0_43
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1415,f784,f497,f779,f1070]) ).

fof(f1605,plain,
    ( c3_1(a42)
    | ~ c0_1(a42)
    | ~ spl0_37
    | spl0_80 ),
    inference(resolution,[],[f674,f472]) ).

fof(f1618,plain,
    ( c0_1(a15)
    | ~ c3_1(a15)
    | ~ spl0_41
    | spl0_118 ),
    inference(resolution,[],[f877,f488]) ).

fof(f1624,plain,
    ( c3_1(a6)
    | ~ c2_1(a6)
    | ~ spl0_20
    | ~ spl0_131 ),
    inference(resolution,[],[f946,f402]) ).

fof(f1630,plain,
    ( c3_1(a15)
    | c0_1(a15)
    | ~ spl0_23
    | ~ spl0_117 ),
    inference(resolution,[],[f872,f415]) ).

fof(f1644,plain,
    ( c0_1(a5)
    | ~ c3_1(a5)
    | ~ spl0_25
    | ~ spl0_133 ),
    inference(resolution,[],[f957,f423]) ).

fof(f1646,plain,
    ( c0_1(a4)
    | ~ c3_1(a4)
    | ~ spl0_25
    | ~ spl0_136 ),
    inference(resolution,[],[f973,f423]) ).

fof(f1653,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(resolution,[],[f390,f434]) ).

fof(f1658,plain,
    ( c2_1(a3)
    | c0_1(a3)
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(resolution,[],[f390,f626]) ).

fof(f1660,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(duplicate_literal_removal,[],[f1653]) ).

fof(f1681,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(resolution,[],[f521,f498]) ).

fof(f1685,plain,
    ( ~ c3_1(a4)
    | ~ c0_1(a4)
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(resolution,[],[f521,f973]) ).

fof(f1686,plain,
    ( ~ c3_1(a5)
    | ~ c0_1(a5)
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(resolution,[],[f521,f957]) ).

fof(f1691,plain,
    ( ~ c3_1(a22)
    | ~ c0_1(a22)
    | ~ spl0_49
    | ~ spl0_103 ),
    inference(resolution,[],[f521,f797]) ).

fof(f1693,plain,
    ( ~ c3_1(a30)
    | ~ c0_1(a30)
    | ~ spl0_49
    | ~ spl0_93 ),
    inference(resolution,[],[f521,f744]) ).

fof(f1694,plain,
    ( ~ c3_1(a37)
    | ~ c0_1(a37)
    | ~ spl0_49
    | ~ spl0_163 ),
    inference(resolution,[],[f521,f1400]) ).

fof(f1700,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_43
    | ~ spl0_49 ),
    inference(duplicate_literal_removal,[],[f1681]) ).

fof(f1704,plain,
    ( ~ spl0_82
    | ~ spl0_81
    | ~ spl0_49
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1694,f1398,f520,f678,f683]) ).

fof(f1717,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(resolution,[],[f529,f402]) ).

fof(f1730,plain,
    ( c3_1(a53)
    | ~ c0_1(a53)
    | ~ spl0_51
    | spl0_72 ),
    inference(resolution,[],[f529,f632]) ).

fof(f1732,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(duplicate_literal_removal,[],[f1717]) ).

fof(f1736,plain,
    ( ~ spl0_73
    | spl0_74
    | ~ spl0_51
    | spl0_72 ),
    inference(avatar_split_clause,[],[f1730,f630,f528,f640,f635]) ).

fof(f1739,plain,
    ( spl0_45
    | ~ spl0_20
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1732,f528,f401,f505]) ).

fof(f1743,plain,
    ( spl0_70
    | spl0_69
    | ~ spl0_44
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1537,f624,f502,f614,f619]) ).

fof(f1748,plain,
    ( ~ spl0_152
    | spl0_119
    | ~ spl0_41
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1618,f875,f487,f880,f1087]) ).

fof(f1755,plain,
    ( ~ spl0_132
    | spl0_155
    | ~ spl0_25
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1644,f955,f422,f1103,f950]) ).

fof(f1756,plain,
    ( ~ spl0_135
    | spl0_156
    | ~ spl0_25
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1646,f971,f422,f1108,f966]) ).

fof(f1759,plain,
    ( ~ spl0_133
    | spl0_155
    | ~ spl0_33
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1310,f960,f455,f1103,f955]) ).

fof(f1823,plain,
    ( c0_1(a15)
    | ~ c2_1(a15)
    | ~ spl0_33
    | spl0_118 ),
    inference(resolution,[],[f456,f877]) ).

fof(f1840,plain,
    ( c2_1(a7)
    | ~ c0_1(a7)
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(resolution,[],[f492,f930]) ).

fof(f1841,plain,
    ( c2_1(a37)
    | ~ c0_1(a37)
    | ~ spl0_42
    | ~ spl0_83 ),
    inference(resolution,[],[f492,f690]) ).

fof(f1842,plain,
    ( c2_1(a3)
    | ~ c0_1(a3)
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(resolution,[],[f492,f626]) ).

fof(f1845,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(resolution,[],[f537,f492]) ).

fof(f1858,plain,
    ( c2_1(a24)
    | ~ c0_1(a24)
    | ~ spl0_53
    | spl0_99 ),
    inference(resolution,[],[f537,f776]) ).

fof(f1863,plain,
    ( c2_1(a42)
    | ~ c0_1(a42)
    | ~ spl0_53
    | spl0_78 ),
    inference(resolution,[],[f537,f664]) ).

fof(f1871,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_42
    | ~ spl0_53 ),
    inference(duplicate_literal_removal,[],[f1845]) ).

fof(f1886,plain,
    ( ~ c0_1(a33)
    | ~ spl0_42
    | ~ spl0_53
    | spl0_86 ),
    inference(resolution,[],[f1871,f706]) ).

fof(f1909,plain,
    ( ~ c3_1(a5)
    | ~ c0_1(a5)
    | ~ spl0_56
    | spl0_134 ),
    inference(resolution,[],[f549,f962]) ).

fof(f1915,plain,
    ( ~ c3_1(a24)
    | ~ c0_1(a24)
    | ~ spl0_56
    | spl0_99 ),
    inference(resolution,[],[f549,f776]) ).

fof(f1930,plain,
    ( ~ spl0_100
    | ~ spl0_149
    | ~ spl0_56
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1915,f774,f548,f1070,f779]) ).

fof(f1932,plain,
    ( ~ c0_1(a2)
    | ~ spl0_42
    | ~ spl0_53
    | spl0_140 ),
    inference(resolution,[],[f994,f1871]) ).

fof(f1936,plain,
    ( ~ spl0_139
    | ~ spl0_42
    | ~ spl0_53
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1932,f992,f536,f491,f987]) ).

fof(f1948,plain,
    ( c3_1(a30)
    | ~ c2_1(a30)
    | ~ spl0_20
    | ~ spl0_95 ),
    inference(resolution,[],[f754,f402]) ).

fof(f1949,plain,
    ( c3_1(a30)
    | ~ c0_1(a30)
    | ~ spl0_40
    | ~ spl0_95 ),
    inference(resolution,[],[f754,f484]) ).

fof(f2007,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(resolution,[],[f542,f525]) ).

fof(f2011,plain,
    ( ~ c0_1(a4)
    | ~ c3_1(a4)
    | ~ spl0_54
    | ~ spl0_137 ),
    inference(resolution,[],[f542,f978]) ).

fof(f2016,plain,
    ( ~ c0_1(a30)
    | ~ c3_1(a30)
    | ~ spl0_54
    | ~ spl0_95 ),
    inference(resolution,[],[f542,f754]) ).

fof(f2017,plain,
    ( ~ c0_1(a37)
    | ~ c3_1(a37)
    | ~ spl0_54
    | ~ spl0_83 ),
    inference(resolution,[],[f542,f690]) ).

fof(f2022,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(duplicate_literal_removal,[],[f2007]) ).

fof(f2025,plain,
    ( ~ spl0_81
    | ~ spl0_82
    | ~ spl0_54
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2017,f688,f541,f683,f678]) ).

fof(f2030,plain,
    ( ~ spl0_135
    | ~ spl0_156
    | ~ spl0_54
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2011,f976,f541,f1108,f966]) ).

fof(f2031,plain,
    ( spl0_49
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f2022,f541,f524,f520]) ).

fof(f2085,plain,
    ( ~ c3_1(a32)
    | ~ c0_1(a32)
    | ~ spl0_56
    | spl0_88 ),
    inference(resolution,[],[f549,f717]) ).

fof(f2103,plain,
    ( c2_1(a15)
    | c0_1(a15)
    | ~ spl0_58
    | spl0_118 ),
    inference(resolution,[],[f559,f877]) ).

fof(f2106,plain,
    ( c2_1(a31)
    | c0_1(a31)
    | ~ spl0_58
    | spl0_90 ),
    inference(resolution,[],[f559,f728]) ).

fof(f2120,plain,
    ( spl0_92
    | spl0_91
    | ~ spl0_58
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2106,f726,f558,f731,f736]) ).

fof(f2123,plain,
    ( spl0_119
    | spl0_117
    | ~ spl0_58
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2103,f875,f558,f870,f880]) ).

fof(f2128,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(resolution,[],[f562,f402]) ).

fof(f2137,plain,
    ( ~ c2_1(a21)
    | ~ c0_1(a21)
    | ~ spl0_59
    | spl0_106 ),
    inference(resolution,[],[f562,f813]) ).

fof(f2140,plain,
    ( ~ c2_1(a32)
    | ~ c0_1(a32)
    | ~ spl0_59
    | spl0_88 ),
    inference(resolution,[],[f562,f717]) ).

fof(f2143,plain,
    ( ~ c2_1(a53)
    | ~ c0_1(a53)
    | ~ spl0_59
    | spl0_72 ),
    inference(resolution,[],[f562,f632]) ).

fof(f2147,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(duplicate_literal_removal,[],[f2128]) ).

fof(f2151,plain,
    ( spl0_45
    | ~ spl0_20
    | ~ spl0_59 ),
    inference(avatar_split_clause,[],[f2147,f561,f401,f505]) ).

fof(f2164,plain,
    ( ~ spl0_96
    | ~ spl0_19
    | ~ spl0_25
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1157,f768,f422,f397,f758]) ).

fof(f2165,plain,
    ( spl0_23
    | ~ spl0_20
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f1260,f455,f401,f414]) ).

fof(f2189,plain,
    ( spl0_43
    | ~ spl0_28
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f1396,f491,f433,f497]) ).

fof(f2193,plain,
    ( ~ spl0_107
    | ~ spl0_105
    | ~ spl0_59
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2137,f811,f561,f806,f816]) ).

fof(f2200,plain,
    ( ~ spl0_155
    | ~ spl0_132
    | ~ spl0_49
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1686,f955,f520,f950,f1103]) ).

fof(f2206,plain,
    ( ~ spl0_148
    | ~ spl0_94
    | ~ spl0_54
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f2016,f752,f541,f747,f1065]) ).

fof(f2207,plain,
    ( ~ spl0_155
    | ~ spl0_132
    | ~ spl0_56
    | spl0_134 ),
    inference(avatar_split_clause,[],[f1909,f960,f548,f950,f1103]) ).

fof(f2222,plain,
    ( ~ spl0_100
    | spl0_101
    | ~ spl0_53
    | spl0_99 ),
    inference(avatar_split_clause,[],[f1858,f774,f536,f784,f779]) ).

fof(f2223,plain,
    ( ~ spl0_146
    | spl0_80
    | ~ spl0_53
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1863,f662,f536,f672,f1054]) ).

fof(f2247,plain,
    ( c2_1(a24)
    | ~ c3_1(a24)
    | ~ spl0_28
    | spl0_99 ),
    inference(resolution,[],[f776,f434]) ).

fof(f2261,plain,
    ( c0_1(a25)
    | ~ c3_1(a25)
    | ~ spl0_25
    | ~ spl0_161 ),
    inference(resolution,[],[f1234,f423]) ).

fof(f2263,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_56 ),
    inference(resolution,[],[f430,f549]) ).

fof(f2264,plain,
    ( ~ c2_1(a4)
    | ~ c3_1(a4)
    | ~ spl0_27
    | ~ spl0_137 ),
    inference(resolution,[],[f430,f978]) ).

fof(f2273,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_27
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f2263]) ).

fof(f2277,plain,
    ( ~ spl0_135
    | ~ spl0_136
    | ~ spl0_27
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2264,f976,f429,f971,f966]) ).

fof(f2293,plain,
    ( ~ spl0_96
    | spl0_98
    | ~ spl0_25
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f2261,f1233,f422,f768,f758]) ).

fof(f2305,plain,
    ( ~ c3_1(a32)
    | ~ spl0_43
    | ~ spl0_49
    | ~ spl0_89 ),
    inference(resolution,[],[f1700,f722]) ).

fof(f2308,plain,
    ( ~ spl0_87
    | ~ spl0_43
    | ~ spl0_49
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f2305,f720,f520,f497,f710]) ).

fof(f2312,plain,
    ( c3_1(a24)
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(resolution,[],[f781,f1440]) ).

fof(f2313,plain,
    ( spl0_149
    | ~ spl0_37
    | ~ spl0_45
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f2312,f779,f505,f471,f1070]) ).

fof(f2315,plain,
    ( c0_1(a15)
    | ~ c3_1(a15)
    | ~ spl0_25
    | ~ spl0_117 ),
    inference(resolution,[],[f872,f423]) ).

fof(f2316,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(resolution,[],[f460,f402]) ).

fof(f2321,plain,
    ( c3_1(a15)
    | c0_1(a15)
    | ~ spl0_34
    | spl0_118 ),
    inference(resolution,[],[f460,f877]) ).

fof(f2324,plain,
    ( c3_1(a31)
    | c0_1(a31)
    | ~ spl0_34
    | spl0_90 ),
    inference(resolution,[],[f460,f728]) ).

fof(f2328,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f2316]) ).

fof(f2340,plain,
    ( spl0_23
    | ~ spl0_20
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2328,f459,f401,f414]) ).

fof(f2354,plain,
    ( c0_1(a31)
    | ~ c3_1(a31)
    | ~ spl0_41
    | spl0_90 ),
    inference(resolution,[],[f488,f728]) ).

fof(f2393,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(resolution,[],[f517,f549]) ).

fof(f2394,plain,
    ( ~ c0_1(a4)
    | ~ c2_1(a4)
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(resolution,[],[f517,f978]) ).

fof(f2403,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f2393]) ).

fof(f2407,plain,
    ( ~ spl0_136
    | ~ spl0_156
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f2394,f976,f516,f1108,f971]) ).

fof(f2408,plain,
    ( spl0_49
    | ~ spl0_48
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2403,f548,f516,f520]) ).

fof(f2423,plain,
    ( ~ spl0_117
    | spl0_119
    | ~ spl0_33
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1823,f875,f455,f880,f870]) ).

fof(f2432,plain,
    ( ~ spl0_73
    | ~ spl0_158
    | ~ spl0_59
    | spl0_72 ),
    inference(avatar_split_clause,[],[f2143,f630,f561,f1218,f635]) ).

fof(f2436,plain,
    ( ~ spl0_147
    | spl0_91
    | ~ spl0_28
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1186,f726,f433,f731,f1060]) ).

fof(f2447,plain,
    ( spl0_19
    | ~ spl0_17
    | ~ spl0_28 ),
    inference(avatar_split_clause,[],[f1660,f433,f389,f397]) ).

fof(f2453,plain,
    ( spl0_113
    | ~ spl0_111
    | ~ spl0_19
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1133,f843,f397,f838,f848]) ).

fof(f2474,plain,
    ( ~ spl0_84
    | ~ spl0_42
    | ~ spl0_53
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1886,f704,f536,f491,f694]) ).

fof(f2498,plain,
    ( ~ spl0_89
    | ~ spl0_160
    | ~ spl0_59
    | spl0_88 ),
    inference(avatar_split_clause,[],[f2140,f715,f561,f1228,f720]) ).

fof(f2501,plain,
    ( ~ spl0_87
    | ~ spl0_89
    | ~ spl0_43
    | spl0_160 ),
    inference(avatar_split_clause,[],[f1419,f1228,f497,f720,f710]) ).

fof(f2510,plain,
    ( spl0_146
    | spl0_79
    | ~ spl0_26
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1043,f672,f426,f667,f1054]) ).

fof(f2511,plain,
    ( spl0_65
    | spl0_63
    | ~ spl0_26
    | spl0_64 ),
    inference(avatar_split_clause,[],[f1045,f587,f426,f582,f592]) ).

fof(f2517,plain,
    ( spl0_91
    | spl0_147
    | ~ spl0_39
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1362,f726,f480,f1060,f731]) ).

fof(f2520,plain,
    ( ~ spl0_147
    | spl0_92
    | ~ spl0_41
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2354,f726,f487,f736,f1060]) ).

fof(f2526,plain,
    ( spl0_144
    | spl0_70
    | ~ spl0_17
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1658,f624,f389,f619,f1015]) ).

fof(f2531,plain,
    ( spl0_68
    | spl0_145
    | ~ spl0_26
    | spl0_66 ),
    inference(avatar_split_clause,[],[f1044,f598,f426,f1049,f608]) ).

fof(f2532,plain,
    ( ~ spl0_117
    | spl0_152
    | ~ spl0_30
    | spl0_118 ),
    inference(avatar_split_clause,[],[f1198,f875,f443,f1087,f870]) ).

fof(f2535,plain,
    ( ~ spl0_152
    | spl0_119
    | ~ spl0_25
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2315,f870,f422,f880,f1087]) ).

fof(f2539,plain,
    ( spl0_62
    | spl0_60
    | ~ spl0_23
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1524,f1213,f414,f566,f576]) ).

fof(f2547,plain,
    ( ~ spl0_149
    | spl0_101
    | ~ spl0_28
    | spl0_99 ),
    inference(avatar_split_clause,[],[f2247,f774,f433,f784,f1070]) ).

fof(f2557,plain,
    ( ~ spl0_84
    | spl0_85
    | ~ spl0_37
    | spl0_86 ),
    inference(avatar_split_clause,[],[f1343,f704,f471,f699,f694]) ).

fof(f2559,plain,
    ( ~ spl0_146
    | spl0_79
    | ~ spl0_37
    | spl0_80 ),
    inference(avatar_split_clause,[],[f1605,f672,f471,f667,f1054]) ).

fof(f2571,plain,
    ( ~ spl0_126
    | spl0_162
    | ~ spl0_42
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1840,f928,f491,f1238,f918]) ).

fof(f2572,plain,
    ( ~ spl0_82
    | spl0_163
    | ~ spl0_42
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1841,f688,f491,f1398,f683]) ).

fof(f2573,plain,
    ( ~ spl0_144
    | spl0_70
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1842,f624,f491,f619,f1015]) ).

fof(f2602,plain,
    ( ~ c3_1(a31)
    | c0_1(a31)
    | ~ spl0_19
    | spl0_91 ),
    inference(resolution,[],[f398,f733]) ).

fof(f2607,plain,
    ( ~ c3_1(a9)
    | c0_1(a9)
    | ~ spl0_19
    | spl0_66 ),
    inference(resolution,[],[f398,f600]) ).

fof(f2631,plain,
    ( c3_1(a8)
    | c0_1(a8)
    | ~ spl0_23
    | ~ spl0_123 ),
    inference(resolution,[],[f415,f904]) ).

fof(f2632,plain,
    ( c3_1(a14)
    | c0_1(a14)
    | ~ spl0_23
    | ~ spl0_120 ),
    inference(resolution,[],[f415,f888]) ).

fof(f2665,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0)
        | c2_1(X0) )
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(resolution,[],[f492,f481]) ).

fof(f2686,plain,
    ( ! [X0] :
        ( c2_1(X0)
        | ~ c0_1(X0)
        | c3_1(X0) )
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(duplicate_literal_removal,[],[f2665]) ).

fof(f2691,plain,
    ( spl0_37
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(avatar_split_clause,[],[f2686,f491,f480,f471]) ).

fof(f2694,plain,
    ( spl0_92
    | spl0_147
    | ~ spl0_26
    | spl0_91 ),
    inference(avatar_split_clause,[],[f1041,f731,f426,f1060,f736]) ).

fof(f2696,plain,
    ( spl0_49
    | ~ spl0_27
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f2273,f548,f429,f520]) ).

fof(f2708,plain,
    ( ~ spl0_156
    | ~ spl0_135
    | ~ spl0_49
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1685,f971,f520,f966,f1108]) ).

fof(f2710,plain,
    ( ~ spl0_104
    | ~ spl0_102
    | ~ spl0_49
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1691,f795,f520,f790,f800]) ).

fof(f2711,plain,
    ( ~ spl0_94
    | ~ spl0_148
    | ~ spl0_49
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1693,f742,f520,f1065,f747]) ).

fof(f2723,plain,
    ( ~ spl0_89
    | ~ spl0_87
    | ~ spl0_56
    | spl0_88 ),
    inference(avatar_split_clause,[],[f2085,f715,f548,f710,f720]) ).

fof(f2740,plain,
    ( c3_1(a3)
    | c0_1(a3)
    | ~ spl0_26
    | spl0_70 ),
    inference(resolution,[],[f427,f621]) ).

fof(f2742,plain,
    ( c3_1(a11)
    | c0_1(a11)
    | ~ spl0_26
    | spl0_157 ),
    inference(resolution,[],[f427,f1215]) ).

fof(f2743,plain,
    ( spl0_62
    | spl0_60
    | ~ spl0_26
    | spl0_157 ),
    inference(avatar_split_clause,[],[f2742,f1213,f426,f566,f576]) ).

fof(f2744,plain,
    ( spl0_144
    | spl0_69
    | ~ spl0_26
    | spl0_70 ),
    inference(avatar_split_clause,[],[f2740,f619,f426,f614,f1015]) ).

fof(f2752,plain,
    ( ~ c2_1(a8)
    | ~ c3_1(a8)
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(resolution,[],[f430,f909]) ).

fof(f2758,plain,
    ( ~ c2_1(a37)
    | ~ c3_1(a37)
    | ~ spl0_27
    | ~ spl0_83 ),
    inference(resolution,[],[f430,f690]) ).

fof(f2766,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(resolution,[],[f456,f430]) ).

fof(f2771,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | ~ c2_1(X0)
        | ~ c3_1(X0) )
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f2766]) ).

fof(f2772,plain,
    ( spl0_25
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2771,f455,f429,f422]) ).

fof(f2785,plain,
    ( c2_1(a25)
    | c0_1(a25)
    | ~ spl0_17
    | ~ spl0_97 ),
    inference(resolution,[],[f390,f765]) ).

fof(f2791,plain,
    ( c2_1(a9)
    | c0_1(a9)
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(resolution,[],[f390,f605]) ).

fof(f2792,plain,
    ( c2_1(a11)
    | c0_1(a11)
    | ~ spl0_17
    | ~ spl0_61 ),
    inference(resolution,[],[f390,f573]) ).

fof(f2793,plain,
    ( spl0_68
    | spl0_66
    | ~ spl0_17
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f2791,f603,f389,f598,f608]) ).

fof(f2794,plain,
    ( spl0_98
    | spl0_161
    | ~ spl0_17
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f2785,f763,f389,f1233,f768]) ).

fof(f2796,plain,
    ( ~ spl0_138
    | ~ spl0_139
    | ~ spl0_43
    | spl0_140 ),
    inference(avatar_split_clause,[],[f1405,f992,f497,f987,f982]) ).

fof(f2798,plain,
    ( ~ spl0_81
    | ~ spl0_82
    | ~ spl0_43
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1421,f1398,f497,f683,f678]) ).

fof(f2802,plain,
    ( spl0_92
    | ~ spl0_147
    | ~ spl0_19
    | spl0_91 ),
    inference(avatar_split_clause,[],[f2602,f731,f397,f1060,f736]) ).

fof(f2804,plain,
    ( spl0_68
    | ~ spl0_145
    | ~ spl0_19
    | spl0_66 ),
    inference(avatar_split_clause,[],[f2607,f598,f397,f1049,f608]) ).

fof(f2805,plain,
    ( ~ spl0_123
    | spl0_153
    | ~ spl0_20
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f1169,f907,f401,f1093,f902]) ).

fof(f2807,plain,
    ( ~ spl0_162
    | spl0_127
    | ~ spl0_20
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f1474,f928,f401,f923,f1238]) ).

fof(f2808,plain,
    ( ~ spl0_129
    | spl0_130
    | ~ spl0_20
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1624,f944,f401,f939,f934]) ).

fof(f2809,plain,
    ( ~ spl0_93
    | spl0_148
    | ~ spl0_20
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1948,f752,f401,f1065,f742]) ).

fof(f2812,plain,
    ( spl0_119
    | spl0_152
    | ~ spl0_23
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1630,f870,f414,f1087,f880]) ).

fof(f2815,plain,
    ( spl0_125
    | spl0_153
    | ~ spl0_23
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f2631,f902,f414,f1093,f912]) ).

fof(f2816,plain,
    ( spl0_122
    | spl0_121
    | ~ spl0_23
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f2632,f886,f414,f891,f896]) ).

fof(f2819,plain,
    ( ~ spl0_153
    | ~ spl0_123
    | ~ spl0_27
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2752,f907,f429,f902,f1093]) ).

fof(f2832,plain,
    ( spl0_119
    | spl0_152
    | ~ spl0_34
    | spl0_118 ),
    inference(avatar_split_clause,[],[f2321,f875,f459,f1087,f880]) ).

fof(f2838,plain,
    ( spl0_62
    | spl0_157
    | ~ spl0_17
    | ~ spl0_61 ),
    inference(avatar_split_clause,[],[f2792,f571,f389,f1213,f576]) ).

fof(f2853,plain,
    ( ~ spl0_81
    | ~ spl0_163
    | ~ spl0_27
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f2758,f688,f429,f1398,f678]) ).

fof(f2861,plain,
    ( spl0_92
    | spl0_147
    | ~ spl0_34
    | spl0_90 ),
    inference(avatar_split_clause,[],[f2324,f726,f459,f1060,f736]) ).

fof(f2862,plain,
    ( ~ spl0_94
    | spl0_148
    | ~ spl0_40
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f1949,f752,f483,f1065,f747]) ).

fof(f2950,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(resolution,[],[f460,f390]) ).

fof(f2970,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) )
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(duplicate_literal_removal,[],[f2950]) ).

fof(f2971,plain,
    ( spl0_26
    | ~ spl0_17
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f2970,f459,f389,f426]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(sat_conversion,[],[f331]) ).

cnf(s2,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(sat_conversion,[],[f344]) ).

cnf(s3,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(sat_conversion,[],[f357]) ).

cnf(s5,plain,
    ( ~ spl0_9
    | ~ spl0_13
    | spl0_14 ),
    inference(sat_conversion,[],[f379]) ).

cnf(s6,plain,
    ( spl0_12
    | spl0_15
    | spl0_16
    | spl0_17 ),
    inference(sat_conversion,[],[f391]) ).

cnf(s7,plain,
    ( ~ spl0_11
    | spl0_16
    | spl0_18
    | spl0_19 ),
    inference(sat_conversion,[],[f399]) ).

cnf(s8,plain,
    ( spl0_3
    | spl0_5
    | spl0_16
    | spl0_20 ),
    inference(sat_conversion,[],[f403]) ).

cnf(s9,plain,
    ( spl0_16
    | spl0_17
    | spl0_20
    | ~ spl0_21 ),
    inference(sat_conversion,[],[f408]) ).

cnf(s10,plain,
    ( ~ spl0_9
    | spl0_16
    | spl0_22
    | spl0_23 ),
    inference(sat_conversion,[],[f416]) ).

cnf(s11,plain,
    ( ~ spl0_11
    | spl0_16
    | spl0_24
    | spl0_25 ),
    inference(sat_conversion,[],[f424]) ).

cnf(s12,plain,
    ( spl0_16
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(sat_conversion,[],[f431]) ).

cnf(s13,plain,
    ( spl0_6
    | spl0_16
    | spl0_28 ),
    inference(sat_conversion,[],[f435]) ).

cnf(s15,plain,
    ( spl0_16
    | spl0_26
    | spl0_28 ),
    inference(sat_conversion,[],[f437]) ).

cnf(s16,plain,
    ( spl0_16
    | spl0_23
    | spl0_29
    | spl0_30 ),
    inference(sat_conversion,[],[f445]) ).

cnf(s17,plain,
    ( spl0_16
    | spl0_31
    | ~ spl0_32
    | spl0_33 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s18,plain,
    ( spl0_4
    | spl0_16
    | spl0_33
    | spl0_34 ),
    inference(sat_conversion,[],[f461]) ).

cnf(s19,plain,
    ( spl0_16
    | ~ spl0_35
    | ~ spl0_36
    | spl0_37 ),
    inference(sat_conversion,[],[f473]) ).

cnf(s20,plain,
    ( spl0_16
    | spl0_19
    | spl0_37
    | ~ spl0_38 ),
    inference(sat_conversion,[],[f478]) ).

cnf(s21,plain,
    ( spl0_15
    | spl0_16
    | spl0_39
    | spl0_40 ),
    inference(sat_conversion,[],[f485]) ).

cnf(s23,plain,
    ( spl0_5
    | ~ spl0_8
    | spl0_16
    | spl0_42 ),
    inference(sat_conversion,[],[f493]) ).

cnf(s25,plain,
    ( ~ spl0_11
    | spl0_16
    | ~ spl0_36
    | spl0_42 ),
    inference(sat_conversion,[],[f495]) ).

cnf(s26,plain,
    ( ~ spl0_11
    | spl0_14
    | spl0_16
    | spl0_43 ),
    inference(sat_conversion,[],[f499]) ).

cnf(s27,plain,
    ( spl0_16
    | spl0_17
    | spl0_27
    | spl0_43 ),
    inference(sat_conversion,[],[f500]) ).

cnf(s28,plain,
    ( spl0_12
    | spl0_16
    | spl0_44
    | spl0_45 ),
    inference(sat_conversion,[],[f507]) ).

cnf(s29,plain,
    ( spl0_16
    | spl0_46
    | spl0_47
    | spl0_48 ),
    inference(sat_conversion,[],[f518]) ).

cnf(s30,plain,
    ( spl0_16
    | spl0_20
    | spl0_41
    | spl0_49 ),
    inference(sat_conversion,[],[f522]) ).

cnf(s31,plain,
    ( spl0_16
    | spl0_43
    | spl0_49
    | spl0_50 ),
    inference(sat_conversion,[],[f526]) ).

cnf(s32,plain,
    ( ~ spl0_7
    | spl0_16
    | spl0_33
    | spl0_51 ),
    inference(sat_conversion,[],[f530]) ).

cnf(s33,plain,
    ( spl0_16
    | ~ spl0_32
    | ~ spl0_52
    | spl0_53 ),
    inference(sat_conversion,[],[f538]) ).

cnf(s35,plain,
    ( spl0_16
    | spl0_39
    | spl0_53
    | spl0_54 ),
    inference(sat_conversion,[],[f543]) ).

cnf(s37,plain,
    ( spl0_16
    | spl0_39
    | spl0_56
    | ~ spl0_57 ),
    inference(sat_conversion,[],[f555]) ).

cnf(s38,plain,
    ( spl0_16
    | spl0_42
    | spl0_56 ),
    inference(sat_conversion,[],[f556]) ).

cnf(s39,plain,
    ( spl0_1
    | spl0_16
    | spl0_58
    | spl0_59 ),
    inference(sat_conversion,[],[f563]) ).

cnf(s40,plain,
    ( spl0_16
    | spl0_45
    | spl0_49
    | spl0_59 ),
    inference(sat_conversion,[],[f564]) ).

cnf(s41,plain,
    ( spl0_36
    | ~ spl0_60 ),
    inference(sat_conversion,[],[f569]) ).

cnf(s42,plain,
    ( spl0_36
    | spl0_61 ),
    inference(sat_conversion,[],[f574]) ).

cnf(s43,plain,
    ( spl0_36
    | ~ spl0_62 ),
    inference(sat_conversion,[],[f579]) ).

cnf(s45,plain,
    ( spl0_11
    | ~ spl0_63 ),
    inference(sat_conversion,[],[f585]) ).

cnf(s46,plain,
    ( spl0_11
    | ~ spl0_64 ),
    inference(sat_conversion,[],[f590]) ).

cnf(s47,plain,
    ( spl0_11
    | ~ spl0_65 ),
    inference(sat_conversion,[],[f595]) ).

cnf(s49,plain,
    ( ~ spl0_14
    | ~ spl0_66 ),
    inference(sat_conversion,[],[f601]) ).

cnf(s50,plain,
    ( ~ spl0_14
    | spl0_67 ),
    inference(sat_conversion,[],[f606]) ).

cnf(s51,plain,
    ( ~ spl0_14
    | ~ spl0_68 ),
    inference(sat_conversion,[],[f611]) ).

cnf(s53,plain,
    ( ~ spl0_3
    | ~ spl0_69 ),
    inference(sat_conversion,[],[f617]) ).

cnf(s54,plain,
    ( ~ spl0_3
    | ~ spl0_70 ),
    inference(sat_conversion,[],[f622]) ).

cnf(s55,plain,
    ( ~ spl0_3
    | spl0_71 ),
    inference(sat_conversion,[],[f627]) ).

cnf(s56,plain,
    ( ~ spl0_3
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f628]) ).

cnf(s57,plain,
    ( ~ spl0_2
    | ~ spl0_72 ),
    inference(sat_conversion,[],[f633]) ).

cnf(s58,plain,
    ( ~ spl0_2
    | spl0_73 ),
    inference(sat_conversion,[],[f638]) ).

cnf(s59,plain,
    ( ~ spl0_2
    | ~ spl0_74 ),
    inference(sat_conversion,[],[f643]) ).

cnf(s60,plain,
    ( ~ spl0_2
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f644]) ).

cnf(s65,plain,
    ( spl0_13
    | ~ spl0_78 ),
    inference(sat_conversion,[],[f665]) ).

cnf(s66,plain,
    ( spl0_13
    | ~ spl0_79 ),
    inference(sat_conversion,[],[f670]) ).

cnf(s67,plain,
    ( spl0_13
    | ~ spl0_80 ),
    inference(sat_conversion,[],[f675]) ).

cnf(s69,plain,
    ( ~ spl0_18
    | spl0_81 ),
    inference(sat_conversion,[],[f681]) ).

cnf(s70,plain,
    ( ~ spl0_18
    | spl0_82 ),
    inference(sat_conversion,[],[f686]) ).

cnf(s71,plain,
    ( ~ spl0_18
    | spl0_83 ),
    inference(sat_conversion,[],[f691]) ).

cnf(s73,plain,
    ( spl0_21
    | spl0_84 ),
    inference(sat_conversion,[],[f697]) ).

cnf(s74,plain,
    ( spl0_21
    | ~ spl0_85 ),
    inference(sat_conversion,[],[f702]) ).

cnf(s75,plain,
    ( spl0_21
    | ~ spl0_86 ),
    inference(sat_conversion,[],[f707]) ).

cnf(s77,plain,
    ( ~ spl0_22
    | spl0_87 ),
    inference(sat_conversion,[],[f713]) ).

cnf(s78,plain,
    ( ~ spl0_22
    | ~ spl0_88 ),
    inference(sat_conversion,[],[f718]) ).

cnf(s79,plain,
    ( ~ spl0_22
    | spl0_89 ),
    inference(sat_conversion,[],[f723]) ).

cnf(s81,plain,
    ( spl0_9
    | ~ spl0_90 ),
    inference(sat_conversion,[],[f729]) ).

cnf(s82,plain,
    ( spl0_9
    | ~ spl0_91 ),
    inference(sat_conversion,[],[f734]) ).

cnf(s83,plain,
    ( spl0_9
    | ~ spl0_92 ),
    inference(sat_conversion,[],[f739]) ).

cnf(s85,plain,
    ( ~ spl0_24
    | spl0_93 ),
    inference(sat_conversion,[],[f745]) ).

cnf(s86,plain,
    ( ~ spl0_24
    | spl0_94 ),
    inference(sat_conversion,[],[f750]) ).

cnf(s87,plain,
    ( ~ spl0_24
    | spl0_95 ),
    inference(sat_conversion,[],[f755]) ).

cnf(s89,plain,
    ( ~ spl0_29
    | spl0_96 ),
    inference(sat_conversion,[],[f761]) ).

cnf(s90,plain,
    ( ~ spl0_29
    | spl0_97 ),
    inference(sat_conversion,[],[f766]) ).

cnf(s91,plain,
    ( ~ spl0_29
    | ~ spl0_98 ),
    inference(sat_conversion,[],[f771]) ).

cnf(s93,plain,
    ( ~ spl0_31
    | ~ spl0_99 ),
    inference(sat_conversion,[],[f777]) ).

cnf(s94,plain,
    ( ~ spl0_31
    | spl0_100 ),
    inference(sat_conversion,[],[f782]) ).

cnf(s95,plain,
    ( ~ spl0_31
    | ~ spl0_101 ),
    inference(sat_conversion,[],[f787]) ).

cnf(s97,plain,
    ( ~ spl0_4
    | spl0_102 ),
    inference(sat_conversion,[],[f793]) ).

cnf(s98,plain,
    ( ~ spl0_4
    | spl0_103 ),
    inference(sat_conversion,[],[f798]) ).

cnf(s99,plain,
    ( ~ spl0_4
    | spl0_104 ),
    inference(sat_conversion,[],[f803]) ).

cnf(s101,plain,
    ( spl0_35
    | spl0_105 ),
    inference(sat_conversion,[],[f809]) ).

cnf(s102,plain,
    ( spl0_35
    | ~ spl0_106 ),
    inference(sat_conversion,[],[f814]) ).

cnf(s103,plain,
    ( spl0_35
    | spl0_107 ),
    inference(sat_conversion,[],[f819]) ).

cnf(s105,plain,
    ( spl0_38
    | spl0_108 ),
    inference(sat_conversion,[],[f825]) ).

cnf(s106,plain,
    ( spl0_38
    | ~ spl0_109 ),
    inference(sat_conversion,[],[f830]) ).

cnf(s107,plain,
    ( spl0_38
    | ~ spl0_110 ),
    inference(sat_conversion,[],[f835]) ).

cnf(s109,plain,
    ( ~ spl0_15
    | spl0_111 ),
    inference(sat_conversion,[],[f841]) ).

cnf(s110,plain,
    ( ~ spl0_15
    | ~ spl0_112 ),
    inference(sat_conversion,[],[f846]) ).

cnf(s111,plain,
    ( ~ spl0_15
    | ~ spl0_113 ),
    inference(sat_conversion,[],[f851]) ).

cnf(s113,plain,
    ( ~ spl0_5
    | spl0_114 ),
    inference(sat_conversion,[],[f857]) ).

cnf(s114,plain,
    ( ~ spl0_5
    | spl0_115 ),
    inference(sat_conversion,[],[f862]) ).

cnf(s115,plain,
    ( ~ spl0_5
    | ~ spl0_116 ),
    inference(sat_conversion,[],[f867]) ).

cnf(s117,plain,
    ( spl0_8
    | spl0_117 ),
    inference(sat_conversion,[],[f873]) ).

cnf(s118,plain,
    ( spl0_8
    | ~ spl0_118 ),
    inference(sat_conversion,[],[f878]) ).

cnf(s119,plain,
    ( spl0_8
    | ~ spl0_119 ),
    inference(sat_conversion,[],[f883]) ).

cnf(s121,plain,
    ( ~ spl0_6
    | spl0_120 ),
    inference(sat_conversion,[],[f889]) ).

cnf(s122,plain,
    ( ~ spl0_6
    | ~ spl0_121 ),
    inference(sat_conversion,[],[f894]) ).

cnf(s123,plain,
    ( ~ spl0_6
    | ~ spl0_122 ),
    inference(sat_conversion,[],[f899]) ).

cnf(s125,plain,
    ( ~ spl0_12
    | spl0_123 ),
    inference(sat_conversion,[],[f905]) ).

cnf(s126,plain,
    ( ~ spl0_12
    | spl0_124 ),
    inference(sat_conversion,[],[f910]) ).

cnf(s127,plain,
    ( ~ spl0_12
    | ~ spl0_125 ),
    inference(sat_conversion,[],[f915]) ).

cnf(s129,plain,
    ( ~ spl0_46
    | spl0_126 ),
    inference(sat_conversion,[],[f921]) ).

cnf(s130,plain,
    ( ~ spl0_46
    | ~ spl0_127 ),
    inference(sat_conversion,[],[f926]) ).

cnf(s131,plain,
    ( ~ spl0_46
    | spl0_128 ),
    inference(sat_conversion,[],[f931]) ).

cnf(s133,plain,
    ( spl0_7
    | spl0_129 ),
    inference(sat_conversion,[],[f937]) ).

cnf(s134,plain,
    ( spl0_7
    | ~ spl0_130 ),
    inference(sat_conversion,[],[f942]) ).

cnf(s135,plain,
    ( spl0_7
    | spl0_131 ),
    inference(sat_conversion,[],[f947]) ).

cnf(s137,plain,
    ( spl0_52
    | spl0_132 ),
    inference(sat_conversion,[],[f953]) ).

cnf(s138,plain,
    ( spl0_52
    | spl0_133 ),
    inference(sat_conversion,[],[f958]) ).

cnf(s139,plain,
    ( spl0_52
    | ~ spl0_134 ),
    inference(sat_conversion,[],[f963]) ).

cnf(s141,plain,
    ( spl0_32
    | spl0_135 ),
    inference(sat_conversion,[],[f969]) ).

cnf(s142,plain,
    ( spl0_32
    | spl0_136 ),
    inference(sat_conversion,[],[f974]) ).

cnf(s143,plain,
    ( spl0_32
    | spl0_137 ),
    inference(sat_conversion,[],[f979]) ).

cnf(s145,plain,
    ( spl0_57
    | spl0_138 ),
    inference(sat_conversion,[],[f985]) ).

cnf(s146,plain,
    ( spl0_57
    | spl0_139 ),
    inference(sat_conversion,[],[f990]) ).

cnf(s147,plain,
    ( spl0_57
    | ~ spl0_140 ),
    inference(sat_conversion,[],[f995]) ).

cnf(s149,plain,
    ( ~ spl0_1
    | spl0_141 ),
    inference(sat_conversion,[],[f1001]) ).

cnf(s150,plain,
    ( ~ spl0_1
    | spl0_142 ),
    inference(sat_conversion,[],[f1006]) ).

cnf(s151,plain,
    ( ~ spl0_1
    | ~ spl0_143 ),
    inference(sat_conversion,[],[f1011]) ).

cnf(s152,plain,
    ( ~ spl0_1
    | ~ spl0_16 ),
    inference(sat_conversion,[],[f1012]) ).

cnf(s178,plain,
    ( ~ spl0_25
    | ~ spl0_114
    | ~ spl0_115
    | spl0_116 ),
    inference(sat_conversion,[],[f1121]) ).

cnf(s182,plain,
    ( ~ spl0_25
    | ~ spl0_123
    | spl0_125
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f1172]) ).

cnf(s191,plain,
    ( ~ spl0_28
    | ~ spl0_108
    | spl0_109
    | spl0_110 ),
    inference(sat_conversion,[],[f1292]) ).

cnf(s195,plain,
    ( ~ spl0_37
    | ~ spl0_100
    | spl0_101
    | spl0_149 ),
    inference(sat_conversion,[],[f1302]) ).

cnf(s197,plain,
    ( ~ spl0_39
    | spl0_72
    | spl0_74
    | spl0_158 ),
    inference(sat_conversion,[],[f1370]) ).

cnf(s204,plain,
    ( ~ spl0_39
    | spl0_99
    | spl0_101
    | spl0_149 ),
    inference(sat_conversion,[],[f1377]) ).

cnf(s213,plain,
    ( ~ spl0_45
    | ~ spl0_141
    | ~ spl0_142
    | spl0_143 ),
    inference(sat_conversion,[],[f1442]) ).

cnf(s220,plain,
    ( ~ spl0_37
    | ~ spl0_126
    | spl0_127
    | spl0_162 ),
    inference(sat_conversion,[],[f1470]) ).

cnf(s228,plain,
    ( ~ spl0_20
    | spl0_60
    | ~ spl0_61
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f1501]) ).

cnf(s230,plain,
    ( ~ spl0_37
    | ~ spl0_45
    | ~ spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f1516]) ).

cnf(s237,plain,
    ( ~ spl0_28
    | ~ spl0_47
    | ~ spl0_111
    | spl0_112 ),
    inference(sat_conversion,[],[f1561]) ).

cnf(s244,plain,
    ( ~ spl0_39
    | spl0_78
    | spl0_79
    | spl0_80 ),
    inference(sat_conversion,[],[f1568]) ).

cnf(s254,plain,
    ( ~ spl0_28
    | ~ spl0_47
    | ~ spl0_96
    | spl0_161 ),
    inference(sat_conversion,[],[f1578]) ).

cnf(s263,plain,
    ( ~ spl0_43
    | ~ spl0_100
    | spl0_101
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1587]) ).

cnf(s286,plain,
    ( ~ spl0_49
    | ~ spl0_81
    | ~ spl0_82
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f1704]) ).

cnf(s294,plain,
    ( ~ spl0_51
    | spl0_72
    | ~ spl0_73
    | spl0_74 ),
    inference(sat_conversion,[],[f1736]) ).

cnf(s297,plain,
    ( ~ spl0_20
    | spl0_45
    | ~ spl0_51 ),
    inference(sat_conversion,[],[f1739]) ).

cnf(s302,plain,
    ( ~ spl0_44
    | spl0_69
    | spl0_70
    | ~ spl0_71 ),
    inference(sat_conversion,[],[f1743]) ).

cnf(s308,plain,
    ( ~ spl0_41
    | spl0_118
    | spl0_119
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f1748]) ).

cnf(s311,plain,
    ( ~ spl0_25
    | ~ spl0_132
    | ~ spl0_133
    | spl0_155 ),
    inference(sat_conversion,[],[f1755]) ).

cnf(s312,plain,
    ( ~ spl0_25
    | ~ spl0_135
    | ~ spl0_136
    | spl0_156 ),
    inference(sat_conversion,[],[f1756]) ).

cnf(s315,plain,
    ( ~ spl0_33
    | ~ spl0_133
    | spl0_134
    | spl0_155 ),
    inference(sat_conversion,[],[f1759]) ).

cnf(s327,plain,
    ( ~ spl0_56
    | spl0_99
    | ~ spl0_100
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f1930]) ).

cnf(s330,plain,
    ( ~ spl0_42
    | ~ spl0_53
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f1936]) ).

cnf(s342,plain,
    ( ~ spl0_54
    | ~ spl0_81
    | ~ spl0_82
    | ~ spl0_83 ),
    inference(sat_conversion,[],[f2025]) ).

cnf(s347,plain,
    ( ~ spl0_54
    | ~ spl0_135
    | ~ spl0_137
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2030]) ).

cnf(s348,plain,
    ( spl0_49
    | ~ spl0_50
    | ~ spl0_54 ),
    inference(sat_conversion,[],[f2031]) ).

cnf(s352,plain,
    ( ~ spl0_58
    | spl0_90
    | spl0_91
    | spl0_92 ),
    inference(sat_conversion,[],[f2120]) ).

cnf(s355,plain,
    ( ~ spl0_58
    | spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2123]) ).

cnf(s362,plain,
    ( ~ spl0_20
    | spl0_45
    | ~ spl0_59 ),
    inference(sat_conversion,[],[f2151]) ).

cnf(s374,plain,
    ( ~ spl0_19
    | ~ spl0_25
    | ~ spl0_96
    | spl0_98 ),
    inference(sat_conversion,[],[f2164]) ).

cnf(s375,plain,
    ( ~ spl0_20
    | spl0_23
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f2165]) ).

cnf(s401,plain,
    ( ~ spl0_28
    | ~ spl0_42
    | spl0_43 ),
    inference(sat_conversion,[],[f2189]) ).

cnf(s407,plain,
    ( ~ spl0_59
    | ~ spl0_105
    | spl0_106
    | ~ spl0_107 ),
    inference(sat_conversion,[],[f2193]) ).

cnf(s414,plain,
    ( ~ spl0_49
    | ~ spl0_132
    | ~ spl0_133
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2200]) ).

cnf(s420,plain,
    ( ~ spl0_54
    | ~ spl0_94
    | ~ spl0_95
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2206]) ).

cnf(s421,plain,
    ( ~ spl0_56
    | ~ spl0_132
    | spl0_134
    | ~ spl0_155 ),
    inference(sat_conversion,[],[f2207]) ).

cnf(s436,plain,
    ( ~ spl0_53
    | spl0_99
    | ~ spl0_100
    | spl0_101 ),
    inference(sat_conversion,[],[f2222]) ).

cnf(s437,plain,
    ( ~ spl0_53
    | spl0_78
    | spl0_80
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2223]) ).

cnf(s458,plain,
    ( ~ spl0_27
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_137 ),
    inference(sat_conversion,[],[f2277]) ).

cnf(s465,plain,
    ( ~ spl0_25
    | ~ spl0_96
    | spl0_98
    | ~ spl0_161 ),
    inference(sat_conversion,[],[f2293]) ).

cnf(s469,plain,
    ( ~ spl0_43
    | ~ spl0_49
    | ~ spl0_87
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2308]) ).

cnf(s473,plain,
    ( ~ spl0_37
    | ~ spl0_45
    | ~ spl0_100
    | spl0_149 ),
    inference(sat_conversion,[],[f2313]) ).

cnf(s485,plain,
    ( ~ spl0_20
    | spl0_23
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f2340]) ).

cnf(s493,plain,
    ( ~ spl0_48
    | ~ spl0_136
    | ~ spl0_137
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2407]) ).

cnf(s494,plain,
    ( ~ spl0_48
    | spl0_49
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f2408]) ).

cnf(s509,plain,
    ( ~ spl0_33
    | ~ spl0_117
    | spl0_118
    | spl0_119 ),
    inference(sat_conversion,[],[f2423]) ).

cnf(s518,plain,
    ( ~ spl0_59
    | spl0_72
    | ~ spl0_73
    | ~ spl0_158 ),
    inference(sat_conversion,[],[f2432]) ).

cnf(s522,plain,
    ( ~ spl0_28
    | spl0_90
    | spl0_91
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2436]) ).

cnf(s531,plain,
    ( ~ spl0_17
    | spl0_19
    | ~ spl0_28 ),
    inference(sat_conversion,[],[f2447]) ).

cnf(s537,plain,
    ( ~ spl0_19
    | ~ spl0_111
    | spl0_112
    | spl0_113 ),
    inference(sat_conversion,[],[f2453]) ).

cnf(s572,plain,
    ( ~ spl0_42
    | ~ spl0_53
    | ~ spl0_84
    | spl0_86 ),
    inference(sat_conversion,[],[f2474]) ).

cnf(s587,plain,
    ( ~ spl0_59
    | spl0_88
    | ~ spl0_89
    | ~ spl0_160 ),
    inference(sat_conversion,[],[f2498]) ).

cnf(s590,plain,
    ( ~ spl0_43
    | ~ spl0_87
    | ~ spl0_89
    | spl0_160 ),
    inference(sat_conversion,[],[f2501]) ).

cnf(s599,plain,
    ( ~ spl0_26
    | spl0_79
    | spl0_80
    | spl0_146 ),
    inference(sat_conversion,[],[f2510]) ).

cnf(s600,plain,
    ( ~ spl0_26
    | spl0_63
    | spl0_64
    | spl0_65 ),
    inference(sat_conversion,[],[f2511]) ).

cnf(s606,plain,
    ( ~ spl0_39
    | spl0_90
    | spl0_91
    | spl0_147 ),
    inference(sat_conversion,[],[f2517]) ).

cnf(s609,plain,
    ( ~ spl0_41
    | spl0_90
    | spl0_92
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2520]) ).

cnf(s615,plain,
    ( ~ spl0_17
    | spl0_70
    | ~ spl0_71
    | spl0_144 ),
    inference(sat_conversion,[],[f2526]) ).

cnf(s620,plain,
    ( ~ spl0_26
    | spl0_66
    | spl0_68
    | spl0_145 ),
    inference(sat_conversion,[],[f2531]) ).

cnf(s621,plain,
    ( ~ spl0_30
    | ~ spl0_117
    | spl0_118
    | spl0_152 ),
    inference(sat_conversion,[],[f2532]) ).

cnf(s624,plain,
    ( ~ spl0_25
    | ~ spl0_117
    | spl0_119
    | ~ spl0_152 ),
    inference(sat_conversion,[],[f2535]) ).

cnf(s628,plain,
    ( ~ spl0_23
    | spl0_60
    | spl0_62
    | ~ spl0_157 ),
    inference(sat_conversion,[],[f2539]) ).

cnf(s638,plain,
    ( ~ spl0_28
    | spl0_99
    | spl0_101
    | ~ spl0_149 ),
    inference(sat_conversion,[],[f2547]) ).

cnf(s648,plain,
    ( ~ spl0_37
    | ~ spl0_84
    | spl0_85
    | spl0_86 ),
    inference(sat_conversion,[],[f2557]) ).

cnf(s650,plain,
    ( ~ spl0_37
    | spl0_79
    | spl0_80
    | ~ spl0_146 ),
    inference(sat_conversion,[],[f2559]) ).

cnf(s662,plain,
    ( ~ spl0_42
    | ~ spl0_126
    | ~ spl0_128
    | spl0_162 ),
    inference(sat_conversion,[],[f2571]) ).

cnf(s663,plain,
    ( ~ spl0_42
    | ~ spl0_82
    | ~ spl0_83
    | spl0_163 ),
    inference(sat_conversion,[],[f2572]) ).

cnf(s664,plain,
    ( ~ spl0_42
    | spl0_70
    | ~ spl0_71
    | ~ spl0_144 ),
    inference(sat_conversion,[],[f2573]) ).

cnf(s695,plain,
    ( spl0_37
    | ~ spl0_39
    | ~ spl0_42 ),
    inference(sat_conversion,[],[f2691]) ).

cnf(s698,plain,
    ( ~ spl0_26
    | spl0_91
    | spl0_92
    | spl0_147 ),
    inference(sat_conversion,[],[f2694]) ).

cnf(s700,plain,
    ( ~ spl0_27
    | spl0_49
    | ~ spl0_56 ),
    inference(sat_conversion,[],[f2696]) ).

cnf(s712,plain,
    ( ~ spl0_49
    | ~ spl0_135
    | ~ spl0_136
    | ~ spl0_156 ),
    inference(sat_conversion,[],[f2708]) ).

cnf(s714,plain,
    ( ~ spl0_49
    | ~ spl0_102
    | ~ spl0_103
    | ~ spl0_104 ),
    inference(sat_conversion,[],[f2710]) ).

cnf(s715,plain,
    ( ~ spl0_49
    | ~ spl0_93
    | ~ spl0_94
    | ~ spl0_148 ),
    inference(sat_conversion,[],[f2711]) ).

cnf(s727,plain,
    ( ~ spl0_56
    | ~ spl0_87
    | spl0_88
    | ~ spl0_89 ),
    inference(sat_conversion,[],[f2723]) ).

cnf(s728,plain,
    ( ~ spl0_26
    | spl0_60
    | spl0_62
    | spl0_157 ),
    inference(sat_conversion,[],[f2743]) ).

cnf(s729,plain,
    ( ~ spl0_26
    | spl0_69
    | spl0_70
    | spl0_144 ),
    inference(sat_conversion,[],[f2744]) ).

cnf(s731,plain,
    ( spl0_25
    | ~ spl0_27
    | ~ spl0_33 ),
    inference(sat_conversion,[],[f2772]) ).

cnf(s734,plain,
    ( ~ spl0_17
    | spl0_66
    | ~ spl0_67
    | spl0_68 ),
    inference(sat_conversion,[],[f2793]) ).

cnf(s735,plain,
    ( ~ spl0_17
    | ~ spl0_97
    | spl0_98
    | spl0_161 ),
    inference(sat_conversion,[],[f2794]) ).

cnf(s737,plain,
    ( ~ spl0_43
    | ~ spl0_138
    | ~ spl0_139
    | spl0_140 ),
    inference(sat_conversion,[],[f2796]) ).

cnf(s739,plain,
    ( ~ spl0_43
    | ~ spl0_81
    | ~ spl0_82
    | spl0_163 ),
    inference(sat_conversion,[],[f2798]) ).

cnf(s743,plain,
    ( ~ spl0_19
    | spl0_91
    | spl0_92
    | ~ spl0_147 ),
    inference(sat_conversion,[],[f2802]) ).

cnf(s745,plain,
    ( ~ spl0_19
    | spl0_66
    | spl0_68
    | ~ spl0_145 ),
    inference(sat_conversion,[],[f2804]) ).

cnf(s746,plain,
    ( ~ spl0_20
    | ~ spl0_123
    | ~ spl0_124
    | spl0_153 ),
    inference(sat_conversion,[],[f2805]) ).

cnf(s748,plain,
    ( ~ spl0_20
    | spl0_127
    | ~ spl0_128
    | ~ spl0_162 ),
    inference(sat_conversion,[],[f2807]) ).

cnf(s749,plain,
    ( ~ spl0_20
    | ~ spl0_129
    | spl0_130
    | ~ spl0_131 ),
    inference(sat_conversion,[],[f2808]) ).

cnf(s751,plain,
    ( ~ spl0_20
    | ~ spl0_93
    | ~ spl0_95
    | spl0_148 ),
    inference(sat_conversion,[],[f2809]) ).

cnf(s756,plain,
    ( ~ spl0_23
    | ~ spl0_117
    | spl0_119
    | spl0_152 ),
    inference(sat_conversion,[],[f2812]) ).

cnf(s759,plain,
    ( ~ spl0_23
    | ~ spl0_123
    | spl0_125
    | spl0_153 ),
    inference(sat_conversion,[],[f2815]) ).

cnf(s760,plain,
    ( ~ spl0_23
    | ~ spl0_120
    | spl0_121
    | spl0_122 ),
    inference(sat_conversion,[],[f2816]) ).

cnf(s763,plain,
    ( ~ spl0_27
    | ~ spl0_123
    | ~ spl0_124
    | ~ spl0_153 ),
    inference(sat_conversion,[],[f2819]) ).

cnf(s776,plain,
    ( ~ spl0_34
    | spl0_118
    | spl0_119
    | spl0_152 ),
    inference(sat_conversion,[],[f2832]) ).

cnf(s781,plain,
    ( ~ spl0_17
    | ~ spl0_61
    | spl0_62
    | spl0_157 ),
    inference(sat_conversion,[],[f2838]) ).

cnf(s796,plain,
    ( ~ spl0_27
    | ~ spl0_81
    | ~ spl0_83
    | ~ spl0_163 ),
    inference(sat_conversion,[],[f2853]) ).

cnf(s799,plain,
    ( ~ spl0_34
    | spl0_90
    | spl0_92
    | spl0_147 ),
    inference(sat_conversion,[],[f2861]) ).

cnf(s800,plain,
    ( ~ spl0_40
    | ~ spl0_94
    | ~ spl0_95
    | spl0_148 ),
    inference(sat_conversion,[],[f2862]) ).

cnf(s805,plain,
    ( ~ spl0_17
    | spl0_26
    | ~ spl0_34 ),
    inference(sat_conversion,[],[f2971]) ).

cnf(s806,plain,
    ( spl0_11
    | ~ spl0_26 ),
    inference(rat,[],[s600,s45,s46,s47]) ).

cnf(s807,plain,
    ( spl0_13
    | spl0_54
    | ~ spl0_26
    | spl0_16 ),
    inference(rat,[],[s35,s437,s244,s599,s65,s66,s67]) ).

cnf(s808,plain,
    ( spl0_32
    | ~ spl0_27 ),
    inference(rat,[],[s458,s141,s142,s143]) ).

cnf(s809,plain,
    ( spl0_9
    | ~ spl0_49
    | ~ spl0_34
    | spl0_33
    | ~ spl0_3 ),
    inference(rat,[],[s35,s204,s327,s436,s93,s94,s95,s17,s808,s27,s734,s49,s50,s51,s26,s739,s286,s342,s69,s70,s71,s7,s806,s38,s664,s729,s15,s743,s522,s799,s81,s82,s83,s56,s55,s54,s53]) ).

cnf(s810,plain,
    ( spl0_8
    | spl0_20
    | spl0_23
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s15,s729,s401,s664,s38,s469,s727,s77,s78,s79,s10,s809,s30,s308,s776,s18,s509,s117,s118,s119,s56,s55,s54,s53]) ).

cnf(s811,plain,
    ( ~ spl0_49
    | ~ spl0_34
    | spl0_33
    | ~ spl0_43
    | spl0_23
    | ~ spl0_3 ),
    inference(rat,[],[s469,s77,s79,s10,s809,s56]) ).

cnf(s813,plain,
    ( spl0_9
    | ~ spl0_41
    | ~ spl0_34 ),
    inference(rat,[],[s609,s799,s81,s83]) ).

cnf(s814,plain,
    ( spl0_57
    | ~ spl0_43 ),
    inference(rat,[],[s737,s145,s146,s147]) ).

cnf(s815,plain,
    ( ~ spl0_22
    | ~ spl0_56 ),
    inference(rat,[],[s727,s77,s78,s79]) ).

cnf(s817,plain,
    ( spl0_52
    | ~ spl0_49
    | ~ spl0_33 ),
    inference(rat,[],[s414,s315,s137,s138,s139]) ).

cnf(s818,plain,
    ( ~ spl0_49
    | ~ spl0_33
    | spl0_53
    | spl0_26
    | spl0_16 ),
    inference(rat,[],[s312,s12,s712,s808,s141,s142,s33,s817]) ).

cnf(s819,plain,
    ( spl0_32
    | ~ spl0_25
    | ~ spl0_54 ),
    inference(rat,[],[s312,s347,s141,s142,s143]) ).

cnf(s820,plain,
    ( spl0_20
    | spl0_5
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s421,s315,s137,s138,s139,s33,s819,s12,s700,s818,s18,s799,s522,s81,s82,s83,s10,s815,s37,s814,s35,s695,s572,s648,s73,s74,s75,s401,s9,s15,s615,s729,s664,s23,s810,s56,s55,s54,s53,s760,s121,s122,s123,s2]) ).

cnf(s821,plain,
    ( spl0_5
    | spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s18,s375,s485,s820,s760,s121,s122,s123,s2,s56]) ).

cnf(s822,plain,
    ( ~ spl0_26
    | ~ spl0_23
    | spl0_42
    | spl0_16 ),
    inference(rat,[],[s628,s728,s41,s43,s25,s806]) ).

cnf(s823,plain,
    ( ~ spl0_12
    | ~ spl0_27
    | ~ spl0_23 ),
    inference(rat,[],[s763,s759,s125,s126,s127]) ).

cnf(s824,plain,
    ( ~ spl0_23
    | spl0_42
    | spl0_33
    | ~ spl0_34
    | spl0_25
    | spl0_16 ),
    inference(rat,[],[s191,s105,s106,s107,s20,s537,s109,s110,s111,s6,s823,s195,s638,s93,s94,s95,s17,s808,s12,s805,s15,s822]) ).

cnf(s825,plain,
    ( spl0_42
    | spl0_33
    | ~ spl0_34
    | spl0_25
    | ~ spl0_3 ),
    inference(rat,[],[s30,s813,s809,s10,s485,s824,s815,s38,s56]) ).

cnf(s826,plain,
    ( spl0_33
    | ~ spl0_34
    | spl0_25
    | ~ spl0_3 ),
    inference(rat,[],[s191,s105,s106,s107,s20,s537,s109,s110,s111,s6,s823,s811,s700,s37,s195,s204,s263,s93,s94,s95,s17,s814,s808,s401,s12,s15,s615,s729,s664,s825,s56,s55,s54,s53]) ).

cnf(s827,plain,
    ( ~ spl0_34
    | spl0_25
    | ~ spl0_3 ),
    inference(rat,[],[s734,s49,s50,s51,s26,s27,s739,s286,s69,s70,s7,s30,s743,s799,s813,s81,s82,s83,s10,s485,s815,s822,s38,s664,s806,s729,s12,s731,s826,s56,s55,s54,s53]) ).

cnf(s828,plain,
    ( spl0_4
    | ~ spl0_3 ),
    inference(rat,[],[s734,s49,s50,s51,s26,s27,s739,s286,s69,s70,s30,s7,s609,s743,s698,s81,s82,s83,s375,s10,s815,s822,s38,s664,s806,s729,s12,s731,s18,s827,s178,s113,s114,s115,s821,s56,s55,s54,s53]) ).

cnf(s830,plain,
    ( spl0_9
    | ~ spl0_28
    | ~ spl0_34 ),
    inference(rat,[],[s522,s799,s81,s82,s83]) ).

cnf(s832,plain,
    ( ~ spl0_5
    | ~ spl0_25 ),
    inference(rat,[],[s178,s113,s114,s115]) ).

cnf(s835,plain,
    ( ~ spl0_26
    | spl0_42
    | ~ spl0_3 ),
    inference(rat,[],[s609,s30,s698,s228,s728,s81,s82,s83,s41,s42,s43,s10,s25,s822,s806,s714,s97,s98,s99,s828,s815,s38,s56]) ).

cnf(s836,plain,
    ( spl0_38
    | ~ spl0_28 ),
    inference(rat,[],[s191,s105,s106,s107]) ).

cnf(s837,plain,
    ( ~ spl0_29
    | ~ spl0_25
    | ~ spl0_28
    | spl0_48
    | spl0_16 ),
    inference(rat,[],[s648,s73,s74,s75,s9,s748,s220,s20,s129,s130,s131,s29,s735,s374,s254,s465,s89,s90,s91,s836]) ).

cnf(s838,plain,
    ( spl0_42
    | ~ spl0_3 ),
    inference(rat,[],[s16,s756,s621,s624,s117,s118,s119,s23,s832,s837,s12,s15,s835,s494,s700,s38,s56,s714,s97,s98,s99,s828]) ).

cnf(s839,plain,
    ( spl0_25
    | ~ spl0_3 ),
    inference(rat,[],[s195,s263,s695,s94,s95,s37,s17,s700,s808,s731,s12,s714,s97,s98,s99,s828,s814,s401,s15,s729,s664,s55,s54,s53,s56,s838]) ).

cnf(s840,plain,
    ( spl0_52
    | ~ spl0_56
    | ~ spl0_25 ),
    inference(rat,[],[s311,s421,s137,s138,s139]) ).

cnf(s841,plain,
    ( spl0_53
    | ~ spl0_52
    | spl0_39
    | ~ spl0_3 ),
    inference(rat,[],[s819,s33,s35,s56,s839]) ).

cnf(s842,plain,
    ( spl0_21
    | ~ spl0_53
    | ~ spl0_42 ),
    inference(rat,[],[s572,s73,s75]) ).

cnf(s847,plain,
    ( ~ spl0_12
    | ~ spl0_20
    | ~ spl0_25 ),
    inference(rat,[],[s182,s746,s125,s126,s127]) ).

cnf(s849,plain,
    ( spl0_21
    | ~ spl0_37 ),
    inference(rat,[],[s648,s73,s74,s75]) ).

cnf(s850,plain,
    ( spl0_9
    | ~ spl0_39
    | ~ spl0_28 ),
    inference(rat,[],[s606,s522,s81,s82]) ).

cnf(s851,plain,
    ( ~ spl0_31
    | ~ spl0_45
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(rat,[],[s473,s263,s94,s95]) ).

cnf(s853,plain,
    ( spl0_21
    | ~ spl0_52
    | ~ spl0_3 ),
    inference(rat,[],[s695,s841,s849,s842,s838]) ).

cnf(s854,plain,
    ( ~ spl0_56
    | ~ spl0_3 ),
    inference(rat,[],[s662,s748,s129,s130,s131,s29,s237,s109,s110,s6,s847,s9,s853,s840,s494,s714,s97,s98,s99,s828,s615,s15,s729,s664,s838,s55,s54,s53,s56,s839]) ).

cnf(s855,plain,
    ( ~ spl0_46
    | ~ spl0_3 ),
    inference(rat,[],[s662,s748,s129,s130,s131,s9,s849,s695,s37,s854,s814,s401,s15,s729,s53,s56,s615,s664,s838,s55,s54]) ).

cnf(s856,plain,
    ( spl0_32
    | ~ spl0_3 ),
    inference(rat,[],[s312,s493,s141,s142,s143,s29,s855,s237,s109,s110,s6,s847,s9,s849,s695,s37,s854,s814,s401,s15,s729,s53,s839,s615,s664,s838,s55,s54,s56]) ).

cnf(s858,plain,
    ( spl0_119
    | spl0_118
    | ~ spl0_58
    | ~ spl0_33 ),
    inference(rat,[],[s355,s509]) ).

cnf(s859,plain,
    ( spl0_7
    | ~ spl0_20 ),
    inference(rat,[],[s749,s133,s134,s135]) ).

cnf(s860,plain,
    ~ spl0_3,
    inference(rat,[],[s509,s117,s118,s119,s3,s859,s17,s856,s851,s28,s847,s9,s849,s850,s695,s37,s854,s839,s814,s401,s15,s615,s729,s664,s838,s302,s53,s54,s55,s56]) ).

cnf(s861,plain,
    ( ~ spl0_26
    | spl0_20
    | spl0_25
    | spl0_42
    | spl0_1 ),
    inference(rat,[],[s436,s93,s94,s95,s17,s808,s731,s27,s734,s49,s50,s51,s26,s739,s35,s286,s342,s197,s69,s70,s71,s518,s30,s7,s39,s609,s743,s352,s698,s81,s82,s83,s10,s822,s806,s59,s58,s57,s815,s38,s60,s1,s860]) ).

cnf(s862,plain,
    ( ~ spl0_4
    | ~ spl0_49 ),
    inference(rat,[],[s714,s97,s98,s99]) ).

cnf(s863,plain,
    ( spl0_26
    | spl0_25
    | spl0_42
    | spl0_16 ),
    inference(rat,[],[s10,s824,s830,s18,s862,s700,s731,s12,s15,s815,s38]) ).

cnf(s864,plain,
    ( spl0_25
    | spl0_42
    | spl0_1 ),
    inference(rat,[],[s32,s859,s375,s861,s822,s863,s60,s294,s57,s58,s59,s1,s860]) ).

cnf(s865,plain,
    ( spl0_42
    | spl0_1 ),
    inference(rat,[],[s509,s32,s117,s118,s119,s859,s23,s8,s832,s864,s60,s294,s57,s58,s59,s1,s860]) ).

cnf(s866,plain,
    ( spl0_9
    | ~ spl0_26
    | spl0_20
    | spl0_1 ),
    inference(rat,[],[s286,s663,s69,s70,s71,s30,s7,s609,s743,s698,s81,s82,s83,s60,s1,s865,s806,s860]) ).

cnf(s867,plain,
    ( ~ spl0_49
    | ~ spl0_87
    | ~ spl0_89
    | ~ spl0_26
    | spl0_1 ),
    inference(rat,[],[s286,s663,s69,s70,s71,s7,s745,s620,s49,s51,s26,s469,s60,s1,s865,s806,s860]) ).

cnf(s869,plain,
    ( spl0_39
    | spl0_49
    | spl0_56
    | spl0_1 ),
    inference(rat,[],[s348,s35,s31,s330,s814,s146,s147,s37,s60,s1,s865,s860]) ).

cnf(s870,plain,
    ( spl0_28
    | spl0_20
    | spl0_1 ),
    inference(rat,[],[s40,s518,s230,s197,s695,s869,s867,s815,s77,s79,s10,s866,s760,s121,s122,s123,s15,s13,s60,s59,s58,s57,s1,s865,s860]) ).

cnf(s871,plain,
    ( spl0_37
    | spl0_40
    | ~ spl0_38
    | spl0_1 ),
    inference(rat,[],[s537,s109,s110,s111,s21,s20,s695,s60,s1,s865,s860]) ).

cnf(s872,plain,
    ( ~ spl0_15
    | ~ spl0_19 ),
    inference(rat,[],[s537,s109,s110,s111]) ).

cnf(s877,plain,
    ( ~ spl0_14
    | ~ spl0_19
    | ~ spl0_26 ),
    inference(rat,[],[s745,s620,s49,s51]) ).

cnf(s878,plain,
    ( ~ spl0_37
    | ~ spl0_9
    | ~ spl0_26
    | ~ spl0_28
    | spl0_20
    | spl0_16 ),
    inference(rat,[],[s650,s599,s66,s67,s5,s877,s531,s9,s849]) ).

cnf(s879,plain,
    ( ~ spl0_26
    | spl0_20
    | spl0_25
    | spl0_1 ),
    inference(rat,[],[s807,s420,s5,s800,s877,s871,s20,s878,s86,s87,s11,s866,s806,s60,s1,s836,s870,s860]) ).

cnf(s880,plain,
    ( ~ spl0_56
    | spl0_15
    | spl0_33
    | ~ spl0_27
    | spl0_26
    | ~ spl0_28
    | spl0_16 ),
    inference(rat,[],[s6,s823,s10,s830,s805,s18,s862,s700,s815]) ).

cnf(s881,plain,
    ( spl0_20
    | spl0_25
    | spl0_1 ),
    inference(rat,[],[s37,s880,s872,s20,s204,s195,s263,s93,s94,s95,s17,s808,s731,s12,s879,s814,s836,s401,s870,s60,s1,s865,s860]) ).

cnf(s882,plain,
    ( ~ spl0_6
    | ~ spl0_23 ),
    inference(rat,[],[s760,s121,s122,s123]) ).

cnf(s883,plain,
    ( spl0_9
    | ~ spl0_28
    | ~ spl0_26 ),
    inference(rat,[],[s522,s698,s81,s82,s83]) ).

cnf(s884,plain,
    ( spl0_25
    | spl0_1 ),
    inference(rat,[],[s509,s117,s118,s119,s3,s883,s13,s882,s12,s375,s731,s32,s859,s881,s60,s294,s57,s58,s59,s1,s860]) ).

cnf(s887,plain,
    ( ~ spl0_14
    | ~ spl0_17 ),
    inference(rat,[],[s734,s49,s50,s51]) ).

cnf(s891,plain,
    ( spl0_36
    | ~ spl0_17
    | ~ spl0_23 ),
    inference(rat,[],[s628,s781,s41,s42,s43]) ).

cnf(s892,plain,
    ( spl0_9
    | ~ spl0_58 ),
    inference(rat,[],[s352,s81,s82,s83]) ).

cnf(s893,plain,
    ( ~ spl0_58
    | spl0_1 ),
    inference(rat,[],[s858,s118,s119,s3,s892,s32,s859,s8,s832,s884,s294,s57,s58,s59,s60,s1,s860]) ).

cnf(s894,plain,
    spl0_1,
    inference(rat,[],[s407,s101,s102,s103,s19,s891,s6,s872,s20,s230,s362,s39,s893,s836,s13,s882,s375,s32,s859,s847,s8,s832,s884,s294,s57,s58,s59,s60,s1,s860]) ).

cnf(s895,plain,
    ~ spl0_16,
    inference(rat,[],[s152,s894]) ).

cnf(s896,plain,
    ~ spl0_143,
    inference(rat,[],[s151,s894]) ).

cnf(s897,plain,
    spl0_142,
    inference(rat,[],[s150,s894]) ).

cnf(s898,plain,
    spl0_141,
    inference(rat,[],[s149,s894]) ).

cnf(s899,plain,
    ~ spl0_45,
    inference(rat,[],[s213,s896,s897,s898]) ).

cnf(s900,plain,
    ~ spl0_20,
    inference(rat,[],[s715,s751,s85,s86,s87,s11,s806,s12,s731,s832,s2,s882,s862,s375,s40,s32,s297,s362,s859,s895,s899]) ).

cnf(s901,plain,
    spl0_5,
    inference(rat,[],[s8,s860,s895,s900]) ).

cnf(s905,plain,
    ~ spl0_25,
    inference(rat,[],[s832,s901]) ).

cnf(s906,plain,
    ( ~ spl0_26
    | ~ spl0_28 ),
    inference(rat,[],[s800,s21,s420,s244,s807,s65,s66,s67,s5,s877,s872,s20,s86,s87,s878,s11,s883,s806,s836,s895,s900,s905]) ).

cnf(s907,plain,
    ~ spl0_28,
    inference(rat,[],[s880,s872,s37,s20,s204,s195,s263,s93,s94,s95,s814,s17,s401,s808,s731,s863,s12,s906,s836,s895,s905]) ).

cnf(s908,plain,
    spl0_6,
    inference(rat,[],[s13,s895,s907]) ).

cnf(s909,plain,
    spl0_26,
    inference(rat,[],[s15,s895,s907]) ).

cnf(s913,plain,
    ~ spl0_23,
    inference(rat,[],[s882,s908]) ).

cnf(s914,plain,
    spl0_11,
    inference(rat,[],[s806,s909]) ).

cnf(s924,plain,
    ( spl0_43
    | spl0_27 ),
    inference(rat,[],[s887,s27,s26,s895,s914]) ).

cnf(s925,plain,
    ( spl0_9
    | ~ spl0_43 ),
    inference(rat,[],[s286,s739,s69,s70,s30,s7,s609,s743,s698,s81,s82,s83,s895,s900,s914,s909]) ).

cnf(s926,plain,
    ~ spl0_43,
    inference(rat,[],[s587,s40,s590,s469,s77,s78,s79,s10,s925,s895,s899,s913]) ).

cnf(s927,plain,
    spl0_14,
    inference(rat,[],[s26,s914,s895,s926]) ).

cnf(s928,plain,
    spl0_27,
    inference(rat,[],[s924,s926]) ).

cnf(s932,plain,
    ~ spl0_19,
    inference(rat,[],[s877,s909,s927]) ).

cnf(s934,plain,
    ~ spl0_33,
    inference(rat,[],[s731,s905,s928]) ).

cnf(s935,plain,
    spl0_32,
    inference(rat,[],[s808,s928]) ).

cnf(s939,plain,
    spl0_18,
    inference(rat,[],[s7,s914,s895,s932]) ).

cnf(s941,plain,
    spl0_31,
    inference(rat,[],[s17,s895,s934,s935]) ).

cnf(s943,plain,
    spl0_83,
    inference(rat,[],[s71,s939]) ).

cnf(s944,plain,
    spl0_82,
    inference(rat,[],[s70,s939]) ).

cnf(s945,plain,
    spl0_81,
    inference(rat,[],[s69,s939]) ).

cnf(s950,plain,
    ~ spl0_101,
    inference(rat,[],[s95,s941]) ).

cnf(s951,plain,
    spl0_100,
    inference(rat,[],[s94,s941]) ).

cnf(s952,plain,
    ~ spl0_99,
    inference(rat,[],[s93,s941]) ).

cnf(s953,plain,
    ~ spl0_54,
    inference(rat,[],[s342,s943,s944,s945]) ).

cnf(s954,plain,
    ~ spl0_163,
    inference(rat,[],[s796,s928,s943,s945]) ).

cnf(s956,plain,
    ~ spl0_53,
    inference(rat,[],[s436,s950,s951,s952]) ).

cnf(s958,plain,
    ~ spl0_42,
    inference(rat,[],[s663,s944,s943,s954]) ).

cnf(s963,plain,
    spl0_39,
    inference(rat,[],[s35,s953,s895,s956]) ).

cnf(s965,plain,
    spl0_56,
    inference(rat,[],[s38,s895,s958]) ).

cnf(s969,plain,
    spl0_149,
    inference(rat,[],[s204,s952,s950,s963]) ).

cnf(s975,plain,
    $false,
    inference(rat,[],[s327,s951,s952,s965,s969]) ).

fof(f2972,plain,
    $false,
    inference(avatar_sat_refutation,[],[s975]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN436+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  % Computer : n026.cluster.edu
% 0.08/0.22  % Model    : x86_64 x86_64
% 0.08/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.22  % Memory   : 8046.5625MB
% 0.08/0.22  % OS       : Linux 6.8.0-71-generic
% 0.08/0.22  % CPULimit : 300
% 0.08/0.22  % WCLimit  : 300
% 0.08/0.22  % DateTime : Mon Sep 28 16:03:12 UTC 2026
% 0.08/0.22  % CPUTime  : 
% 0.08/0.22  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.25  Running first-order model finding
% 0.08/0.26  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.34  % (3980000)Will run a generic schedule for satisfiability detection.
% 0.21/0.34  % (3980006)% WARNING: option uhcvi not known.
% 0.21/0.34  % (3980008)dis+10_1_sil=32000:sp=arity:random_seed=1995865686:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.34  % (3980005)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1142390832_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.34  % (3980011)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3470595659:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.34  % (3980006)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3158667208:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.34  % (3980007)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1255845246:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.34  % (3980009)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1465776205:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.34  % (3980010)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1034724250:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.34  % Detected minimum model sizes of [1]
% 0.21/0.34  % Detected maximum model sizes of [28]
% 0.21/0.34  % TRYING [1]
% 0.21/0.34  % TRYING [2]
% 0.21/0.34  % TRYING [3]
% 0.21/0.34  % TRYING [4]
% 0.21/0.34  % (3980011) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3980000-3980011"...
% 0.21/0.34  % (3980011)...printing done.
% 0.21/0.34  % (3980011)Refutation found. Thanks to Tanya!
% 0.21/0.34  % SZS status Theorem for theBenchmark
% 0.21/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.36  % (3980011)------------------------------
% 0.21/0.36  % (3980011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.36  % (3980011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.36  % (3980011)CaDiCaL version: 2.1.3
% 0.21/0.36  % (3980011)Termination reason: Refutation
% 0.21/0.36  % (3980011)Time elapsed: 0.048 s
% 0.21/0.36  % (3980011)Peak memory usage: 13 MB
% 0.21/0.36  % (3980011)Instructions burned: 77 (million)
% 0.21/0.36  % (3980000)Success in time 0.082 s
% 0.21/0.36  % Vampire exiting
%------------------------------------------------------------------------------