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Drodi-SAT---4.1.1.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN432+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n012.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 : Thu Sep 24 03:19:38 PM UTC 2026

% Result   : CounterSatisfiable 0.02s 0.34s
% Output   : Saturation 0.07s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c0_1(X20)
              | c1_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | ~ c1_1(X19)
              | ~ c3_1(X19) ) )
        | hskp9 )
      & ( hskp25
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c0_1(X18)
              | ~ c1_1(X18) ) )
        | hskp29 )
      & ( hskp8
        | hskp21
        | hskp28 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | ~ c2_1(X17)
              | c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c1_1(X16)
              | c3_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c3_1(X15)
              | c2_1(X15)
              | ~ c1_1(X15) ) ) )
      & ( hskp7
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp27 )
      & ( hskp26
        | ! [X13] :
            ( ndr1_0
           => ( c3_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | hskp25 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | hskp24
        | hskp23 )
      & ( hskp22
        | hskp17
        | hskp6 )
      & ( hskp21
        | hskp20
        | hskp5 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c3_1(X11)
              | ~ c1_1(X11) ) )
        | hskp19
        | hskp4 )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c3_1(X10)
              | c1_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | c1_1(X9)
              | c2_1(X9) ) )
        | hskp18 )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | c1_1(X8)
              | ~ c2_1(X8) ) )
        | hskp17
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c0_1(X7)
              | c2_1(X7) ) ) )
      & ( hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c3_1(X6)
              | ~ c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c2_1(X5)
              | c3_1(X5) ) ) )
      & ( hskp2
        | hskp16
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | ~ c2_1(X4)
              | ~ c1_1(X4) ) ) )
      & ( hskp15
        | hskp1
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | c2_1(X3)
              | ~ c3_1(X3) ) ) )
      & ( hskp0
        | ! [X2] :
            ( ndr1_0
           => ( ~ c1_1(X2)
              | ~ c0_1(X2)
              | ~ c2_1(X2) ) )
        | hskp14 )
      & ( hskp13
        | ! [X1] :
            ( ndr1_0
           => ( c1_1(X1)
              | c3_1(X1)
              | ~ c2_1(X1) ) )
        | ! [Z] :
            ( ndr1_0
           => ( ~ c2_1(Z)
              | ~ c0_1(Z)
              | ~ c3_1(Z) ) ) )
      & ( hskp11
        | hskp12
        | ! [Y] :
            ( ndr1_0
           => ( c0_1(Y)
              | c2_1(Y)
              | c1_1(Y) ) ) )
      & ( ! [X] :
            ( ndr1_0
           => ( ~ c0_1(X)
              | ~ c2_1(X)
              | ~ c1_1(X) ) )
        | hskp11
        | ! [W] :
            ( ndr1_0
           => ( ~ c0_1(W)
              | ~ c1_1(W)
              | ~ c3_1(W) ) ) )
      & ( ! [V] :
            ( ndr1_0
           => ( ~ c2_1(V)
              | c1_1(V)
              | c3_1(V) ) )
        | ! [U] :
            ( ndr1_0
           => ( c3_1(U)
              | c1_1(U)
              | c2_1(U) ) )
        | hskp10 )
      & ( ( c0_1(a193)
          & c3_1(a193)
          & c2_1(a193)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c0_1(a190)
          & ~ c1_1(a190)
          & c2_1(a190)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c0_1(a188)
          & c1_1(a188)
          & ~ c2_1(a188)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a187)
          & ~ c1_1(a187)
          & ~ c2_1(a187)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( c1_1(a186)
          & ~ c2_1(a186)
          & ~ c0_1(a186)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( c0_1(a185)
          & c3_1(a185)
          & c1_1(a185)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( c0_1(a184)
          & c2_1(a184)
          & c1_1(a184)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( c0_1(a183)
          & ~ c3_1(a183)
          & c2_1(a183)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( c3_1(a180)
          & ~ c2_1(a180)
          & ~ c1_1(a180)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( c0_1(a179)
          & c2_1(a179)
          & c3_1(a179)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( c1_1(a177)
          & c3_1(a177)
          & ~ c0_1(a177)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( c2_1(a175)
          & c3_1(a175)
          & c1_1(a175)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( c2_1(a174)
          & c0_1(a174)
          & ~ c3_1(a174)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( c0_1(a171)
          & ~ c3_1(a171)
          & c1_1(a171)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( c2_1(a170)
          & c0_1(a170)
          & c1_1(a170)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( c3_1(a167)
          & c0_1(a167)
          & ~ c2_1(a167)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( c3_1(a166)
          & ~ c2_1(a166)
          & c1_1(a166)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( c2_1(a164)
          & ~ c1_1(a164)
          & ~ c0_1(a164)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( c3_1(a163)
          & c0_1(a163)
          & ~ c1_1(a163)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( c2_1(a162)
          & ~ c3_1(a162)
          & ~ c0_1(a162)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a195)
          & c2_1(a195)
          & c3_1(a195)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a192)
          & c3_1(a192)
          & ~ c0_1(a192)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a189)
          & c1_1(a189)
          & c2_1(a189)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a181)
          & ~ c1_1(a181)
          & c0_1(a181)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a178)
          & ~ c0_1(a178)
          & ~ c3_1(a178)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c0_1(a176)
          & ~ c3_1(a176)
          & ~ c1_1(a176)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a173)
          & c3_1(a173)
          & ~ c1_1(a173)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a172)
          & ~ c2_1(a172)
          & c3_1(a172)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a169)
          & ~ c1_1(a169)
          & c3_1(a169)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a168)
          & ~ c2_1(a168)
          & ~ c0_1(a168)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c0_1(X20)
                | c1_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | ~ c1_1(X19)
                | ~ c3_1(X19) ) )
          | hskp9 )
        & ( hskp25
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c0_1(X18)
                | ~ c1_1(X18) ) )
          | hskp29 )
        & ( hskp8
          | hskp21
          | hskp28 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | ~ c2_1(X17)
                | c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c1_1(X16)
                | c3_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c2_1(X15)
                | ~ c1_1(X15) ) ) )
        & ( hskp7
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp27 )
        & ( hskp26
          | ! [X13] :
              ( ndr1_0
             => ( c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | hskp25 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | hskp24
          | hskp23 )
        & ( hskp22
          | hskp17
          | hskp6 )
        & ( hskp21
          | hskp20
          | hskp5 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c3_1(X11)
                | ~ c1_1(X11) ) )
          | hskp19
          | hskp4 )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c3_1(X10)
                | c1_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | c1_1(X9)
                | c2_1(X9) ) )
          | hskp18 )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | c1_1(X8)
                | ~ c2_1(X8) ) )
          | hskp17
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c3_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c2_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp2
          | hskp16
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) ) )
        & ( hskp15
          | hskp1
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( hskp0
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c0_1(X2)
                | ~ c2_1(X2) ) )
          | hskp14 )
        & ( hskp13
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) )
          | ! [Z] :
              ( ndr1_0
             => ( ~ c2_1(Z)
                | ~ c0_1(Z)
                | ~ c3_1(Z) ) ) )
        & ( hskp11
          | hskp12
          | ! [Y] :
              ( ndr1_0
             => ( c0_1(Y)
                | c2_1(Y)
                | c1_1(Y) ) ) )
        & ( ! [X] :
              ( ndr1_0
             => ( ~ c0_1(X)
                | ~ c2_1(X)
                | ~ c1_1(X) ) )
          | hskp11
          | ! [W] :
              ( ndr1_0
             => ( ~ c0_1(W)
                | ~ c1_1(W)
                | ~ c3_1(W) ) ) )
        & ( ! [V] :
              ( ndr1_0
             => ( ~ c2_1(V)
                | c1_1(V)
                | c3_1(V) ) )
          | ! [U] :
              ( ndr1_0
             => ( c3_1(U)
                | c1_1(U)
                | c2_1(U) ) )
          | hskp10 )
        & ( ( c0_1(a193)
            & c3_1(a193)
            & c2_1(a193)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c0_1(a190)
            & ~ c1_1(a190)
            & c2_1(a190)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c0_1(a188)
            & c1_1(a188)
            & ~ c2_1(a188)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a187)
            & ~ c1_1(a187)
            & ~ c2_1(a187)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c1_1(a186)
            & ~ c2_1(a186)
            & ~ c0_1(a186)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( c0_1(a185)
            & c3_1(a185)
            & c1_1(a185)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( c0_1(a184)
            & c2_1(a184)
            & c1_1(a184)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( c0_1(a183)
            & ~ c3_1(a183)
            & c2_1(a183)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( c3_1(a180)
            & ~ c2_1(a180)
            & ~ c1_1(a180)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( c0_1(a179)
            & c2_1(a179)
            & c3_1(a179)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( c1_1(a177)
            & c3_1(a177)
            & ~ c0_1(a177)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( c2_1(a175)
            & c3_1(a175)
            & c1_1(a175)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( c2_1(a174)
            & c0_1(a174)
            & ~ c3_1(a174)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( c0_1(a171)
            & ~ c3_1(a171)
            & c1_1(a171)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( c2_1(a170)
            & c0_1(a170)
            & c1_1(a170)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( c3_1(a167)
            & c0_1(a167)
            & ~ c2_1(a167)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( c3_1(a166)
            & ~ c2_1(a166)
            & c1_1(a166)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( c2_1(a164)
            & ~ c1_1(a164)
            & ~ c0_1(a164)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( c3_1(a163)
            & c0_1(a163)
            & ~ c1_1(a163)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( c2_1(a162)
            & ~ c3_1(a162)
            & ~ c0_1(a162)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a195)
            & c2_1(a195)
            & c3_1(a195)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a192)
            & c3_1(a192)
            & ~ c0_1(a192)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a189)
            & c1_1(a189)
            & c2_1(a189)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a181)
            & ~ c1_1(a181)
            & c0_1(a181)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a178)
            & ~ c0_1(a178)
            & ~ c3_1(a178)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c0_1(a176)
            & ~ c3_1(a176)
            & ~ c1_1(a176)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a173)
            & c3_1(a173)
            & ~ c1_1(a173)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a172)
            & ~ c2_1(a172)
            & c3_1(a172)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a169)
            & ~ c1_1(a169)
            & c3_1(a169)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a168)
            & ~ c2_1(a168)
            & ~ c0_1(a168)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ! [X20] :
          ( ~ c2_1(X20)
          | c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X19] :
          ( c0_1(X19)
          | ~ c1_1(X19)
          | ~ c3_1(X19)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp25
      | ! [X18] :
          ( ~ c2_1(X18)
          | c0_1(X18)
          | ~ c1_1(X18)
          | ~ ndr1_0 )
      | hskp29 )
    & ( hskp8
      | hskp21
      | hskp28 )
    & ( ! [X17] :
          ( c3_1(X17)
          | ~ c2_1(X17)
          | c0_1(X17)
          | ~ ndr1_0 )
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c3_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X14] :
          ( c3_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | hskp27 )
    & ( hskp26
      | ! [X13] :
          ( c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X12] :
          ( c3_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12)
          | ~ ndr1_0 )
      | hskp24
      | hskp23 )
    & ( hskp22
      | hskp17
      | hskp6 )
    & ( hskp21
      | hskp20
      | hskp5 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp19
      | hskp4 )
    & ( ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | c1_1(X10)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c0_1(X9)
          | c1_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8)
          | ~ ndr1_0 )
      | hskp17
      | ! [X7] :
          ( ~ c3_1(X7)
          | c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X6] :
          ( c2_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 )
      | ! [X5] :
          ( ~ c1_1(X5)
          | c2_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp16
      | ! [X4] :
          ( c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp1
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp13
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [Z] :
          ( ~ c2_1(Z)
          | ~ c0_1(Z)
          | ~ c3_1(Z)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp12
      | ! [Y] :
          ( c0_1(Y)
          | c2_1(Y)
          | c1_1(Y)
          | ~ ndr1_0 ) )
    & ( ! [X] :
          ( ~ c0_1(X)
          | ~ c2_1(X)
          | ~ c1_1(X)
          | ~ ndr1_0 )
      | hskp11
      | ! [W] :
          ( ~ c0_1(W)
          | ~ c1_1(W)
          | ~ c3_1(W)
          | ~ ndr1_0 ) )
    & ( ! [V] :
          ( ~ c2_1(V)
          | c1_1(V)
          | c3_1(V)
          | ~ ndr1_0 )
      | ! [U] :
          ( c3_1(U)
          | c1_1(U)
          | c2_1(U)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ( c0_1(a193)
        & c3_1(a193)
        & c2_1(a193)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c0_1(a190)
        & ~ c1_1(a190)
        & c2_1(a190)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c0_1(a188)
        & c1_1(a188)
        & ~ c2_1(a188)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a187)
        & ~ c1_1(a187)
        & ~ c2_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c1_1(a186)
        & ~ c2_1(a186)
        & ~ c0_1(a186)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c0_1(a185)
        & c3_1(a185)
        & c1_1(a185)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( c0_1(a184)
        & c2_1(a184)
        & c1_1(a184)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( c0_1(a183)
        & ~ c3_1(a183)
        & c2_1(a183)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( c3_1(a180)
        & ~ c2_1(a180)
        & ~ c1_1(a180)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( c0_1(a179)
        & c2_1(a179)
        & c3_1(a179)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( c1_1(a177)
        & c3_1(a177)
        & ~ c0_1(a177)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( c2_1(a175)
        & c3_1(a175)
        & c1_1(a175)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( c2_1(a174)
        & c0_1(a174)
        & ~ c3_1(a174)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( c0_1(a171)
        & ~ c3_1(a171)
        & c1_1(a171)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( c2_1(a170)
        & c0_1(a170)
        & c1_1(a170)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c3_1(a167)
        & c0_1(a167)
        & ~ c2_1(a167)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( c3_1(a166)
        & ~ c2_1(a166)
        & c1_1(a166)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( c2_1(a164)
        & ~ c1_1(a164)
        & ~ c0_1(a164)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( c3_1(a163)
        & c0_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( c2_1(a162)
        & ~ c3_1(a162)
        & ~ c0_1(a162)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a195)
        & c2_1(a195)
        & c3_1(a195)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a192)
        & c3_1(a192)
        & ~ c0_1(a192)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a189)
        & c1_1(a189)
        & c2_1(a189)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a181)
        & ~ c1_1(a181)
        & c0_1(a181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a178)
        & ~ c0_1(a178)
        & ~ c3_1(a178)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a176)
        & ~ c3_1(a176)
        & ~ c1_1(a176)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a173)
        & c3_1(a173)
        & ~ c1_1(a173)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a172)
        & ~ c2_1(a172)
        & c3_1(a172)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a169)
        & ~ c1_1(a169)
        & c3_1(a169)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a168)
        & ~ c2_1(a168)
        & ~ c0_1(a168)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f4,plain,
    ( ( ! [X20] :
          ( ~ c2_1(X20)
          | c0_1(X20)
          | c1_1(X20) )
      | ~ ndr1_0
      | ! [X19] :
          ( c0_1(X19)
          | ~ c1_1(X19)
          | ~ c3_1(X19) )
      | ~ ndr1_0
      | hskp9 )
    & ( hskp25
      | ! [X18] :
          ( ~ c2_1(X18)
          | c0_1(X18)
          | ~ c1_1(X18) )
      | ~ ndr1_0
      | hskp29 )
    & ( hskp8
      | hskp21
      | hskp28 )
    & ( ! [X17] :
          ( c3_1(X17)
          | ~ c2_1(X17)
          | c0_1(X17) )
      | ~ ndr1_0
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c1_1(X16)
          | c3_1(X16) )
      | ~ ndr1_0
      | ! [X15] :
          ( c3_1(X15)
          | c2_1(X15)
          | ~ c1_1(X15) )
      | ~ ndr1_0 )
    & ( hskp7
      | ! [X14] :
          ( c3_1(X14)
          | ~ c1_1(X14)
          | ~ c2_1(X14) )
      | ~ ndr1_0
      | hskp27 )
    & ( hskp26
      | ! [X13] :
          ( c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13) )
      | ~ ndr1_0
      | hskp25 )
    & ( ! [X12] :
          ( c3_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12) )
      | ~ ndr1_0
      | hskp24
      | hskp23 )
    & ( hskp22
      | hskp17
      | hskp6 )
    & ( hskp21
      | hskp20
      | hskp5 )
    & ( ! [X11] :
          ( c0_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11) )
      | ~ ndr1_0
      | hskp19
      | hskp4 )
    & ( ! [X10] :
          ( ~ c2_1(X10)
          | ~ c3_1(X10)
          | c1_1(X10) )
      | ~ ndr1_0
      | ! [X9] :
          ( ~ c0_1(X9)
          | c1_1(X9)
          | c2_1(X9) )
      | ~ ndr1_0
      | hskp18 )
    & ( ! [X8] :
          ( ~ c3_1(X8)
          | c1_1(X8)
          | ~ c2_1(X8) )
      | ~ ndr1_0
      | hskp17
      | ! [X7] :
          ( ~ c3_1(X7)
          | c0_1(X7)
          | c2_1(X7) )
      | ~ ndr1_0 )
    & ( hskp3
      | ! [X6] :
          ( c2_1(X6)
          | c3_1(X6)
          | ~ c0_1(X6) )
      | ~ ndr1_0
      | ! [X5] :
          ( ~ c1_1(X5)
          | c2_1(X5)
          | c3_1(X5) )
      | ~ ndr1_0 )
    & ( hskp2
      | hskp16
      | ! [X4] :
          ( c3_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4) )
      | ~ ndr1_0 )
    & ( hskp15
      | hskp1
      | ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3) )
      | ~ ndr1_0 )
    & ( hskp0
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ c2_1(X2) )
      | ~ ndr1_0
      | hskp14 )
    & ( hskp13
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1) )
      | ~ ndr1_0
      | ! [Z] :
          ( ~ c2_1(Z)
          | ~ c0_1(Z)
          | ~ c3_1(Z) )
      | ~ ndr1_0 )
    & ( hskp11
      | hskp12
      | ! [Y] :
          ( c0_1(Y)
          | c2_1(Y)
          | c1_1(Y) )
      | ~ ndr1_0 )
    & ( ! [X] :
          ( ~ c0_1(X)
          | ~ c2_1(X)
          | ~ c1_1(X) )
      | ~ ndr1_0
      | hskp11
      | ! [W] :
          ( ~ c0_1(W)
          | ~ c1_1(W)
          | ~ c3_1(W) )
      | ~ ndr1_0 )
    & ( ! [V] :
          ( ~ c2_1(V)
          | c1_1(V)
          | c3_1(V) )
      | ~ ndr1_0
      | ! [U] :
          ( c3_1(U)
          | c1_1(U)
          | c2_1(U) )
      | ~ ndr1_0
      | hskp10 )
    & ( ( c0_1(a193)
        & c3_1(a193)
        & c2_1(a193)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c0_1(a190)
        & ~ c1_1(a190)
        & c2_1(a190)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c0_1(a188)
        & c1_1(a188)
        & ~ c2_1(a188)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a187)
        & ~ c1_1(a187)
        & ~ c2_1(a187)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c1_1(a186)
        & ~ c2_1(a186)
        & ~ c0_1(a186)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( c0_1(a185)
        & c3_1(a185)
        & c1_1(a185)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( c0_1(a184)
        & c2_1(a184)
        & c1_1(a184)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( c0_1(a183)
        & ~ c3_1(a183)
        & c2_1(a183)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( c3_1(a180)
        & ~ c2_1(a180)
        & ~ c1_1(a180)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( c0_1(a179)
        & c2_1(a179)
        & c3_1(a179)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( c1_1(a177)
        & c3_1(a177)
        & ~ c0_1(a177)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( c2_1(a175)
        & c3_1(a175)
        & c1_1(a175)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( c2_1(a174)
        & c0_1(a174)
        & ~ c3_1(a174)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( c0_1(a171)
        & ~ c3_1(a171)
        & c1_1(a171)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( c2_1(a170)
        & c0_1(a170)
        & c1_1(a170)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( c3_1(a167)
        & c0_1(a167)
        & ~ c2_1(a167)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( c3_1(a166)
        & ~ c2_1(a166)
        & c1_1(a166)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( c2_1(a164)
        & ~ c1_1(a164)
        & ~ c0_1(a164)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( c3_1(a163)
        & c0_1(a163)
        & ~ c1_1(a163)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( c2_1(a162)
        & ~ c3_1(a162)
        & ~ c0_1(a162)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a195)
        & c2_1(a195)
        & c3_1(a195)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a192)
        & c3_1(a192)
        & ~ c0_1(a192)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a189)
        & c1_1(a189)
        & c2_1(a189)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a181)
        & ~ c1_1(a181)
        & c0_1(a181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a178)
        & ~ c0_1(a178)
        & ~ c3_1(a178)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c0_1(a176)
        & ~ c3_1(a176)
        & ~ c1_1(a176)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a173)
        & c3_1(a173)
        & ~ c1_1(a173)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a172)
        & ~ c2_1(a172)
        & c3_1(a172)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a169)
        & ~ c1_1(a169)
        & c3_1(a169)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a168)
        & ~ c2_1(a168)
        & ~ c0_1(a168)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f5,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f6,plain,
    ( ~ c0_1(a168)
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f7,plain,
    ( ~ c2_1(a168)
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f8,plain,
    ( ~ c1_1(a168)
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f9,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f10,plain,
    ( c3_1(a169)
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f11,plain,
    ( ~ c1_1(a169)
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f12,plain,
    ( ~ c0_1(a169)
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f13,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f14,plain,
    ( c3_1(a172)
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f15,plain,
    ( ~ c2_1(a172)
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f16,plain,
    ( ~ c1_1(a172)
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f17,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f18,plain,
    ( ~ c1_1(a173)
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f19,plain,
    ( c3_1(a173)
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f20,plain,
    ( ~ c2_1(a173)
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f21,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f22,plain,
    ( ~ c1_1(a176)
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f23,plain,
    ( ~ c3_1(a176)
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f24,plain,
    ( ~ c0_1(a176)
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f25,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f26,plain,
    ( ~ c3_1(a178)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f27,plain,
    ( ~ c0_1(a178)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f28,plain,
    ( ~ c1_1(a178)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f29,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f30,plain,
    ( c0_1(a181)
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f31,plain,
    ( ~ c1_1(a181)
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f32,plain,
    ( ~ c2_1(a181)
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f33,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f34,plain,
    ( c2_1(a189)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f35,plain,
    ( c1_1(a189)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f36,plain,
    ( ~ c3_1(a189)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f37,plain,
    ( ndr1_0
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f38,plain,
    ( ~ c0_1(a192)
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f39,plain,
    ( c3_1(a192)
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f40,plain,
    ( ~ c2_1(a192)
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f41,plain,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f42,plain,
    ( c3_1(a195)
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f43,plain,
    ( c2_1(a195)
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f44,plain,
    ( ~ c1_1(a195)
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f45,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f46,plain,
    ( ~ c0_1(a162)
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f47,plain,
    ( ~ c3_1(a162)
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f48,plain,
    ( c2_1(a162)
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f49,plain,
    ( ndr1_0
    | ~ hskp11 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f50,plain,
    ( ~ c1_1(a163)
    | ~ hskp11 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f51,plain,
    ( c0_1(a163)
    | ~ hskp11 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f52,plain,
    ( c3_1(a163)
    | ~ hskp11 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f53,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f54,plain,
    ( ~ c0_1(a164)
    | ~ hskp12 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f55,plain,
    ( ~ c1_1(a164)
    | ~ hskp12 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f56,plain,
    ( c2_1(a164)
    | ~ hskp12 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f57,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f58,plain,
    ( c1_1(a166)
    | ~ hskp13 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f59,plain,
    ( ~ c2_1(a166)
    | ~ hskp13 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f60,plain,
    ( c3_1(a166)
    | ~ hskp13 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f61,plain,
    ( ndr1_0
    | ~ hskp14 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f62,plain,
    ( ~ c2_1(a167)
    | ~ hskp14 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f63,plain,
    ( c0_1(a167)
    | ~ hskp14 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f64,plain,
    ( c3_1(a167)
    | ~ hskp14 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f65,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f66,plain,
    ( c1_1(a170)
    | ~ hskp15 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f67,plain,
    ( c0_1(a170)
    | ~ hskp15 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f68,plain,
    ( c2_1(a170)
    | ~ hskp15 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f69,plain,
    ( ndr1_0
    | ~ hskp16 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f70,plain,
    ( c1_1(a171)
    | ~ hskp16 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f71,plain,
    ( ~ c3_1(a171)
    | ~ hskp16 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f72,plain,
    ( c0_1(a171)
    | ~ hskp16 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f73,plain,
    ( ndr1_0
    | ~ hskp17 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f74,plain,
    ( ~ c3_1(a174)
    | ~ hskp17 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f75,plain,
    ( c0_1(a174)
    | ~ hskp17 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f76,plain,
    ( c2_1(a174)
    | ~ hskp17 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f77,plain,
    ( ndr1_0
    | ~ hskp18 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f78,plain,
    ( c1_1(a175)
    | ~ hskp18 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f79,plain,
    ( c3_1(a175)
    | ~ hskp18 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f80,plain,
    ( c2_1(a175)
    | ~ hskp18 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f81,plain,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f82,plain,
    ( ~ c0_1(a177)
    | ~ hskp19 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f83,plain,
    ( c3_1(a177)
    | ~ hskp19 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f84,plain,
    ( c1_1(a177)
    | ~ hskp19 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f85,plain,
    ( ndr1_0
    | ~ hskp20 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f86,plain,
    ( c3_1(a179)
    | ~ hskp20 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f87,plain,
    ( c2_1(a179)
    | ~ hskp20 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f88,plain,
    ( c0_1(a179)
    | ~ hskp20 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f89,plain,
    ( ndr1_0
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f90,plain,
    ( ~ c1_1(a180)
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f91,plain,
    ( ~ c2_1(a180)
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f92,plain,
    ( c3_1(a180)
    | ~ hskp21 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f93,plain,
    ( ndr1_0
    | ~ hskp22 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f94,plain,
    ( c2_1(a183)
    | ~ hskp22 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f95,plain,
    ( ~ c3_1(a183)
    | ~ hskp22 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f96,plain,
    ( c0_1(a183)
    | ~ hskp22 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f97,plain,
    ( ndr1_0
    | ~ hskp23 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f98,plain,
    ( c1_1(a184)
    | ~ hskp23 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f99,plain,
    ( c2_1(a184)
    | ~ hskp23 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f100,plain,
    ( c0_1(a184)
    | ~ hskp23 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f101,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f102,plain,
    ( c1_1(a185)
    | ~ hskp24 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f103,plain,
    ( c3_1(a185)
    | ~ hskp24 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f104,plain,
    ( c0_1(a185)
    | ~ hskp24 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f105,plain,
    ( ndr1_0
    | ~ hskp25 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f106,plain,
    ( ~ c0_1(a186)
    | ~ hskp25 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f107,plain,
    ( ~ c2_1(a186)
    | ~ hskp25 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f108,plain,
    ( c1_1(a186)
    | ~ hskp25 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f109,plain,
    ( ndr1_0
    | ~ hskp26 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f110,plain,
    ( ~ c2_1(a187)
    | ~ hskp26 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f111,plain,
    ( ~ c1_1(a187)
    | ~ hskp26 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f112,plain,
    ( c3_1(a187)
    | ~ hskp26 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f113,plain,
    ( ndr1_0
    | ~ hskp27 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f114,plain,
    ( ~ c2_1(a188)
    | ~ hskp27 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f115,plain,
    ( c1_1(a188)
    | ~ hskp27 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f116,plain,
    ( c0_1(a188)
    | ~ hskp27 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f117,plain,
    ( ndr1_0
    | ~ hskp28 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f118,plain,
    ( c2_1(a190)
    | ~ hskp28 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f119,plain,
    ( ~ c1_1(a190)
    | ~ hskp28 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f120,plain,
    ( c0_1(a190)
    | ~ hskp28 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f121,plain,
    ( ndr1_0
    | ~ hskp29 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f122,plain,
    ( c2_1(a193)
    | ~ hskp29 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f123,plain,
    ( c3_1(a193)
    | ~ hskp29 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f124,plain,
    ( c0_1(a193)
    | ~ hskp29 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f125,plain,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | hskp11
      | ~ c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f127,plain,
    ! [X0] :
      ( hskp11
      | hskp12
      | c0_1(X0)
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( hskp13
      | c1_1(X1)
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f129,plain,
    ! [X0] :
      ( hskp0
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp14 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f130,plain,
    ! [X0] :
      ( hskp15
      | hskp1
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f131,plain,
    ! [X0] :
      ( hskp2
      | hskp16
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( hskp3
      | c2_1(X1)
      | c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( ~ c3_1(X1)
      | c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp17
      | ~ c3_1(X0)
      | c0_1(X0)
      | c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | ~ c3_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | ~ c0_1(X0)
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | hskp18 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f135,plain,
    ! [X0] :
      ( c0_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp19
      | hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f136,plain,
    ( hskp21
    | hskp20
    | hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f137,plain,
    ( hskp22
    | hskp17
    | hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f138,plain,
    ! [X0] :
      ( c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp24
      | hskp23 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f139,plain,
    ! [X0] :
      ( hskp26
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f140,plain,
    ! [X0] :
      ( hskp7
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp27 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f141,plain,
    ! [X0,X1,X2] :
      ( c3_1(X2)
      | ~ c2_1(X2)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | c3_1(X1)
      | ~ ndr1_0
      | c3_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f142,plain,
    ( hskp8
    | hskp21
    | hskp28 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f143,plain,
    ! [X0] :
      ( hskp25
      | ~ c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0
      | hskp29 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ c2_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0)
      | ~ ndr1_0
      | hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f145,definition,
    ( sQ0_spl
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f146,plain,
    ( ~ sQ0_spl
    | hskp0 ),
    inference(component_clause,[status(thm)],[f145]) ).

fof(f148,definition,
    ( sQ1_spl
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f149,plain,
    ( ~ sQ1_spl
    | ndr1_0 ),
    inference(component_clause,[status(thm)],[f148]) ).

fof(f151,plain,
    ( sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f5,f145,f148]) ).

fof(f152,definition,
    ( sQ2_spl
  <=> c0_1(a168) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f154,plain,
    ( sQ2_spl
    | ~ c0_1(a168) ),
    inference(component_clause,[status(thm)],[f152]) ).

fof(f155,plain,
    ( ~ sQ2_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f6,f145,f152]) ).

fof(f156,definition,
    ( sQ3_spl
  <=> c2_1(a168) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f158,plain,
    ( sQ3_spl
    | ~ c2_1(a168) ),
    inference(component_clause,[status(thm)],[f156]) ).

fof(f159,plain,
    ( ~ sQ3_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f7,f145,f156]) ).

fof(f160,definition,
    ( sQ4_spl
  <=> c1_1(a168) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f162,plain,
    ( sQ4_spl
    | ~ c1_1(a168) ),
    inference(component_clause,[status(thm)],[f160]) ).

fof(f163,plain,
    ( ~ sQ4_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f8,f145,f160]) ).

fof(f164,definition,
    ( sQ5_spl
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f165,plain,
    ( ~ sQ5_spl
    | hskp1 ),
    inference(component_clause,[status(thm)],[f164]) ).

fof(f167,plain,
    ( sQ1_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f9,f164,f148]) ).

fof(f168,definition,
    ( sQ6_spl
  <=> c3_1(a169) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f169,plain,
    ( ~ sQ6_spl
    | c3_1(a169) ),
    inference(component_clause,[status(thm)],[f168]) ).

fof(f171,plain,
    ( sQ6_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f10,f164,f168]) ).

fof(f172,definition,
    ( sQ7_spl
  <=> c1_1(a169) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f174,plain,
    ( sQ7_spl
    | ~ c1_1(a169) ),
    inference(component_clause,[status(thm)],[f172]) ).

fof(f175,plain,
    ( ~ sQ7_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f11,f164,f172]) ).

fof(f176,definition,
    ( sQ8_spl
  <=> c0_1(a169) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f178,plain,
    ( sQ8_spl
    | ~ c0_1(a169) ),
    inference(component_clause,[status(thm)],[f176]) ).

fof(f179,plain,
    ( ~ sQ8_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f12,f164,f176]) ).

fof(f180,definition,
    ( sQ9_spl
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f181,plain,
    ( ~ sQ9_spl
    | hskp2 ),
    inference(component_clause,[status(thm)],[f180]) ).

fof(f182,plain,
    ( sQ9_spl
    | ~ hskp2 ),
    inference(component_clause,[status(thm)],[f180]) ).

fof(f183,plain,
    ( sQ1_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f13,f180,f148]) ).

fof(f184,definition,
    ( sQ10_spl
  <=> c3_1(a172) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f185,plain,
    ( ~ sQ10_spl
    | c3_1(a172) ),
    inference(component_clause,[status(thm)],[f184]) ).

fof(f187,plain,
    ( sQ10_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f14,f180,f184]) ).

fof(f188,definition,
    ( sQ11_spl
  <=> c2_1(a172) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f190,plain,
    ( sQ11_spl
    | ~ c2_1(a172) ),
    inference(component_clause,[status(thm)],[f188]) ).

fof(f191,plain,
    ( ~ sQ11_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f15,f180,f188]) ).

fof(f192,definition,
    ( sQ12_spl
  <=> c1_1(a172) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f194,plain,
    ( sQ12_spl
    | ~ c1_1(a172) ),
    inference(component_clause,[status(thm)],[f192]) ).

fof(f195,plain,
    ( ~ sQ12_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f16,f180,f192]) ).

fof(f196,definition,
    ( sQ13_spl
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f197,plain,
    ( ~ sQ13_spl
    | hskp3 ),
    inference(component_clause,[status(thm)],[f196]) ).

fof(f198,plain,
    ( sQ13_spl
    | ~ hskp3 ),
    inference(component_clause,[status(thm)],[f196]) ).

fof(f199,plain,
    ( sQ1_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f17,f196,f148]) ).

fof(f200,definition,
    ( sQ14_spl
  <=> c1_1(a173) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f202,plain,
    ( sQ14_spl
    | ~ c1_1(a173) ),
    inference(component_clause,[status(thm)],[f200]) ).

fof(f203,plain,
    ( ~ sQ14_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f18,f196,f200]) ).

fof(f204,definition,
    ( sQ15_spl
  <=> c3_1(a173) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f205,plain,
    ( ~ sQ15_spl
    | c3_1(a173) ),
    inference(component_clause,[status(thm)],[f204]) ).

fof(f207,plain,
    ( sQ15_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f19,f196,f204]) ).

fof(f208,definition,
    ( sQ16_spl
  <=> c2_1(a173) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f210,plain,
    ( sQ16_spl
    | ~ c2_1(a173) ),
    inference(component_clause,[status(thm)],[f208]) ).

fof(f211,plain,
    ( ~ sQ16_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f20,f196,f208]) ).

fof(f212,definition,
    ( sQ17_spl
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f213,plain,
    ( ~ sQ17_spl
    | hskp4 ),
    inference(component_clause,[status(thm)],[f212]) ).

fof(f215,plain,
    ( sQ1_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f21,f212,f148]) ).

fof(f216,definition,
    ( sQ18_spl
  <=> c1_1(a176) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f218,plain,
    ( sQ18_spl
    | ~ c1_1(a176) ),
    inference(component_clause,[status(thm)],[f216]) ).

fof(f219,plain,
    ( ~ sQ18_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f22,f212,f216]) ).

fof(f220,definition,
    ( sQ19_spl
  <=> c3_1(a176) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f222,plain,
    ( sQ19_spl
    | ~ c3_1(a176) ),
    inference(component_clause,[status(thm)],[f220]) ).

fof(f223,plain,
    ( ~ sQ19_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f23,f212,f220]) ).

fof(f224,definition,
    ( sQ20_spl
  <=> c0_1(a176) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f226,plain,
    ( sQ20_spl
    | ~ c0_1(a176) ),
    inference(component_clause,[status(thm)],[f224]) ).

fof(f227,plain,
    ( ~ sQ20_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f24,f212,f224]) ).

fof(f228,definition,
    ( sQ21_spl
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f229,plain,
    ( ~ sQ21_spl
    | hskp5 ),
    inference(component_clause,[status(thm)],[f228]) ).

fof(f231,plain,
    ( sQ1_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f25,f228,f148]) ).

fof(f232,definition,
    ( sQ22_spl
  <=> c3_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f234,plain,
    ( sQ22_spl
    | ~ c3_1(a178) ),
    inference(component_clause,[status(thm)],[f232]) ).

fof(f235,plain,
    ( ~ sQ22_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f26,f228,f232]) ).

fof(f236,definition,
    ( sQ23_spl
  <=> c0_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f238,plain,
    ( sQ23_spl
    | ~ c0_1(a178) ),
    inference(component_clause,[status(thm)],[f236]) ).

fof(f239,plain,
    ( ~ sQ23_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f27,f228,f236]) ).

fof(f240,definition,
    ( sQ24_spl
  <=> c1_1(a178) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f242,plain,
    ( sQ24_spl
    | ~ c1_1(a178) ),
    inference(component_clause,[status(thm)],[f240]) ).

fof(f243,plain,
    ( ~ sQ24_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f28,f228,f240]) ).

fof(f244,definition,
    ( sQ25_spl
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f245,plain,
    ( ~ sQ25_spl
    | hskp6 ),
    inference(component_clause,[status(thm)],[f244]) ).

fof(f247,plain,
    ( sQ1_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f29,f244,f148]) ).

fof(f248,definition,
    ( sQ26_spl
  <=> c0_1(a181) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f249,plain,
    ( ~ sQ26_spl
    | c0_1(a181) ),
    inference(component_clause,[status(thm)],[f248]) ).

fof(f251,plain,
    ( sQ26_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f30,f244,f248]) ).

fof(f252,definition,
    ( sQ27_spl
  <=> c1_1(a181) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f254,plain,
    ( sQ27_spl
    | ~ c1_1(a181) ),
    inference(component_clause,[status(thm)],[f252]) ).

fof(f255,plain,
    ( ~ sQ27_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f31,f244,f252]) ).

fof(f256,definition,
    ( sQ28_spl
  <=> c2_1(a181) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f258,plain,
    ( sQ28_spl
    | ~ c2_1(a181) ),
    inference(component_clause,[status(thm)],[f256]) ).

fof(f259,plain,
    ( ~ sQ28_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f32,f244,f256]) ).

fof(f260,definition,
    ( sQ29_spl
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f261,plain,
    ( ~ sQ29_spl
    | hskp7 ),
    inference(component_clause,[status(thm)],[f260]) ).

fof(f262,plain,
    ( sQ29_spl
    | ~ hskp7 ),
    inference(component_clause,[status(thm)],[f260]) ).

fof(f263,plain,
    ( sQ1_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f33,f260,f148]) ).

fof(f264,definition,
    ( sQ30_spl
  <=> c2_1(a189) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f265,plain,
    ( ~ sQ30_spl
    | c2_1(a189) ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f267,plain,
    ( sQ30_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f34,f260,f264]) ).

fof(f268,definition,
    ( sQ31_spl
  <=> c1_1(a189) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f269,plain,
    ( ~ sQ31_spl
    | c1_1(a189) ),
    inference(component_clause,[status(thm)],[f268]) ).

fof(f271,plain,
    ( sQ31_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f35,f260,f268]) ).

fof(f272,definition,
    ( sQ32_spl
  <=> c3_1(a189) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f274,plain,
    ( sQ32_spl
    | ~ c3_1(a189) ),
    inference(component_clause,[status(thm)],[f272]) ).

fof(f275,plain,
    ( ~ sQ32_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f36,f260,f272]) ).

fof(f276,definition,
    ( sQ33_spl
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f277,plain,
    ( ~ sQ33_spl
    | hskp8 ),
    inference(component_clause,[status(thm)],[f276]) ).

fof(f279,plain,
    ( sQ1_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f37,f276,f148]) ).

fof(f280,definition,
    ( sQ34_spl
  <=> c0_1(a192) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f282,plain,
    ( sQ34_spl
    | ~ c0_1(a192) ),
    inference(component_clause,[status(thm)],[f280]) ).

fof(f283,plain,
    ( ~ sQ34_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f38,f276,f280]) ).

fof(f284,definition,
    ( sQ35_spl
  <=> c3_1(a192) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f285,plain,
    ( ~ sQ35_spl
    | c3_1(a192) ),
    inference(component_clause,[status(thm)],[f284]) ).

fof(f287,plain,
    ( sQ35_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f39,f276,f284]) ).

fof(f288,definition,
    ( sQ36_spl
  <=> c2_1(a192) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f290,plain,
    ( sQ36_spl
    | ~ c2_1(a192) ),
    inference(component_clause,[status(thm)],[f288]) ).

fof(f291,plain,
    ( ~ sQ36_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f40,f276,f288]) ).

fof(f292,definition,
    ( sQ37_spl
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f294,plain,
    ( sQ37_spl
    | ~ hskp9 ),
    inference(component_clause,[status(thm)],[f292]) ).

fof(f295,plain,
    ( sQ1_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f41,f292,f148]) ).

fof(f296,definition,
    ( sQ38_spl
  <=> c3_1(a195) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f299,plain,
    ( sQ38_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f42,f292,f296]) ).

fof(f300,definition,
    ( sQ39_spl
  <=> c2_1(a195) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f303,plain,
    ( sQ39_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f43,f292,f300]) ).

fof(f304,definition,
    ( sQ40_spl
  <=> c1_1(a195) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f307,plain,
    ( ~ sQ40_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f44,f292,f304]) ).

fof(f308,definition,
    ( sQ41_spl
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f310,plain,
    ( sQ41_spl
    | ~ hskp10 ),
    inference(component_clause,[status(thm)],[f308]) ).

fof(f311,plain,
    ( sQ1_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f45,f308,f148]) ).

fof(f312,definition,
    ( sQ42_spl
  <=> c0_1(a162) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f315,plain,
    ( ~ sQ42_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f46,f308,f312]) ).

fof(f316,definition,
    ( sQ43_spl
  <=> c3_1(a162) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f319,plain,
    ( ~ sQ43_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f47,f308,f316]) ).

fof(f320,definition,
    ( sQ44_spl
  <=> c2_1(a162) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f323,plain,
    ( sQ44_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f48,f308,f320]) ).

fof(f324,definition,
    ( sQ45_spl
  <=> hskp11 ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f325,plain,
    ( ~ sQ45_spl
    | hskp11 ),
    inference(component_clause,[status(thm)],[f324]) ).

fof(f327,plain,
    ( sQ1_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f49,f324,f148]) ).

fof(f328,definition,
    ( sQ46_spl
  <=> c1_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f330,plain,
    ( sQ46_spl
    | ~ c1_1(a163) ),
    inference(component_clause,[status(thm)],[f328]) ).

fof(f331,plain,
    ( ~ sQ46_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f50,f324,f328]) ).

fof(f332,definition,
    ( sQ47_spl
  <=> c0_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f333,plain,
    ( ~ sQ47_spl
    | c0_1(a163) ),
    inference(component_clause,[status(thm)],[f332]) ).

fof(f335,plain,
    ( sQ47_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f51,f324,f332]) ).

fof(f336,definition,
    ( sQ48_spl
  <=> c3_1(a163) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f337,plain,
    ( ~ sQ48_spl
    | c3_1(a163) ),
    inference(component_clause,[status(thm)],[f336]) ).

fof(f339,plain,
    ( sQ48_spl
    | ~ sQ45_spl ),
    inference(split_clause,[status(thm)],[f52,f324,f336]) ).

fof(f340,definition,
    ( sQ49_spl
  <=> hskp12 ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f342,plain,
    ( sQ49_spl
    | ~ hskp12 ),
    inference(component_clause,[status(thm)],[f340]) ).

fof(f343,plain,
    ( sQ1_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f53,f340,f148]) ).

fof(f344,definition,
    ( sQ50_spl
  <=> c0_1(a164) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f347,plain,
    ( ~ sQ50_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f54,f340,f344]) ).

fof(f348,definition,
    ( sQ51_spl
  <=> c1_1(a164) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f351,plain,
    ( ~ sQ51_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f55,f340,f348]) ).

fof(f352,definition,
    ( sQ52_spl
  <=> c2_1(a164) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f355,plain,
    ( sQ52_spl
    | ~ sQ49_spl ),
    inference(split_clause,[status(thm)],[f56,f340,f352]) ).

fof(f356,definition,
    ( sQ53_spl
  <=> hskp13 ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f358,plain,
    ( sQ53_spl
    | ~ hskp13 ),
    inference(component_clause,[status(thm)],[f356]) ).

fof(f359,plain,
    ( sQ1_spl
    | ~ sQ53_spl ),
    inference(split_clause,[status(thm)],[f57,f356,f148]) ).

fof(f360,definition,
    ( sQ54_spl
  <=> c1_1(a166) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f363,plain,
    ( sQ54_spl
    | ~ sQ53_spl ),
    inference(split_clause,[status(thm)],[f58,f356,f360]) ).

fof(f364,definition,
    ( sQ55_spl
  <=> c2_1(a166) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f367,plain,
    ( ~ sQ55_spl
    | ~ sQ53_spl ),
    inference(split_clause,[status(thm)],[f59,f356,f364]) ).

fof(f368,definition,
    ( sQ56_spl
  <=> c3_1(a166) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f371,plain,
    ( sQ56_spl
    | ~ sQ53_spl ),
    inference(split_clause,[status(thm)],[f60,f356,f368]) ).

fof(f372,definition,
    ( sQ57_spl
  <=> hskp14 ),
    introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).

fof(f374,plain,
    ( sQ57_spl
    | ~ hskp14 ),
    inference(component_clause,[status(thm)],[f372]) ).

fof(f375,plain,
    ( sQ1_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f61,f372,f148]) ).

fof(f376,definition,
    ( sQ58_spl
  <=> c2_1(a167) ),
    introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).

fof(f379,plain,
    ( ~ sQ58_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f62,f372,f376]) ).

fof(f380,definition,
    ( sQ59_spl
  <=> c0_1(a167) ),
    introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).

fof(f383,plain,
    ( sQ59_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f63,f372,f380]) ).

fof(f384,definition,
    ( sQ60_spl
  <=> c3_1(a167) ),
    introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).

fof(f387,plain,
    ( sQ60_spl
    | ~ sQ57_spl ),
    inference(split_clause,[status(thm)],[f64,f372,f384]) ).

fof(f388,definition,
    ( sQ61_spl
  <=> hskp15 ),
    introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).

fof(f390,plain,
    ( sQ61_spl
    | ~ hskp15 ),
    inference(component_clause,[status(thm)],[f388]) ).

fof(f391,plain,
    ( sQ1_spl
    | ~ sQ61_spl ),
    inference(split_clause,[status(thm)],[f65,f388,f148]) ).

fof(f392,definition,
    ( sQ62_spl
  <=> c1_1(a170) ),
    introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).

fof(f395,plain,
    ( sQ62_spl
    | ~ sQ61_spl ),
    inference(split_clause,[status(thm)],[f66,f388,f392]) ).

fof(f396,definition,
    ( sQ63_spl
  <=> c0_1(a170) ),
    introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).

fof(f399,plain,
    ( sQ63_spl
    | ~ sQ61_spl ),
    inference(split_clause,[status(thm)],[f67,f388,f396]) ).

fof(f400,definition,
    ( sQ64_spl
  <=> c2_1(a170) ),
    introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).

fof(f403,plain,
    ( sQ64_spl
    | ~ sQ61_spl ),
    inference(split_clause,[status(thm)],[f68,f388,f400]) ).

fof(f404,definition,
    ( sQ65_spl
  <=> hskp16 ),
    introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).

fof(f406,plain,
    ( sQ65_spl
    | ~ hskp16 ),
    inference(component_clause,[status(thm)],[f404]) ).

fof(f407,plain,
    ( sQ1_spl
    | ~ sQ65_spl ),
    inference(split_clause,[status(thm)],[f69,f404,f148]) ).

fof(f408,definition,
    ( sQ66_spl
  <=> c1_1(a171) ),
    introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).

fof(f411,plain,
    ( sQ66_spl
    | ~ sQ65_spl ),
    inference(split_clause,[status(thm)],[f70,f404,f408]) ).

fof(f412,definition,
    ( sQ67_spl
  <=> c3_1(a171) ),
    introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).

fof(f415,plain,
    ( ~ sQ67_spl
    | ~ sQ65_spl ),
    inference(split_clause,[status(thm)],[f71,f404,f412]) ).

fof(f416,definition,
    ( sQ68_spl
  <=> c0_1(a171) ),
    introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).

fof(f419,plain,
    ( sQ68_spl
    | ~ sQ65_spl ),
    inference(split_clause,[status(thm)],[f72,f404,f416]) ).

fof(f420,definition,
    ( sQ69_spl
  <=> hskp17 ),
    introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).

fof(f422,plain,
    ( sQ69_spl
    | ~ hskp17 ),
    inference(component_clause,[status(thm)],[f420]) ).

fof(f423,plain,
    ( sQ1_spl
    | ~ sQ69_spl ),
    inference(split_clause,[status(thm)],[f73,f420,f148]) ).

fof(f424,definition,
    ( sQ70_spl
  <=> c3_1(a174) ),
    introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).

fof(f427,plain,
    ( ~ sQ70_spl
    | ~ sQ69_spl ),
    inference(split_clause,[status(thm)],[f74,f420,f424]) ).

fof(f428,definition,
    ( sQ71_spl
  <=> c0_1(a174) ),
    introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).

fof(f431,plain,
    ( sQ71_spl
    | ~ sQ69_spl ),
    inference(split_clause,[status(thm)],[f75,f420,f428]) ).

fof(f432,definition,
    ( sQ72_spl
  <=> c2_1(a174) ),
    introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).

fof(f435,plain,
    ( sQ72_spl
    | ~ sQ69_spl ),
    inference(split_clause,[status(thm)],[f76,f420,f432]) ).

fof(f436,definition,
    ( sQ73_spl
  <=> hskp18 ),
    introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).

fof(f438,plain,
    ( sQ73_spl
    | ~ hskp18 ),
    inference(component_clause,[status(thm)],[f436]) ).

fof(f439,plain,
    ( sQ1_spl
    | ~ sQ73_spl ),
    inference(split_clause,[status(thm)],[f77,f436,f148]) ).

fof(f440,definition,
    ( sQ74_spl
  <=> c1_1(a175) ),
    introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).

fof(f443,plain,
    ( sQ74_spl
    | ~ sQ73_spl ),
    inference(split_clause,[status(thm)],[f78,f436,f440]) ).

fof(f444,definition,
    ( sQ75_spl
  <=> c3_1(a175) ),
    introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).

fof(f447,plain,
    ( sQ75_spl
    | ~ sQ73_spl ),
    inference(split_clause,[status(thm)],[f79,f436,f444]) ).

fof(f448,definition,
    ( sQ76_spl
  <=> c2_1(a175) ),
    introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).

fof(f451,plain,
    ( sQ76_spl
    | ~ sQ73_spl ),
    inference(split_clause,[status(thm)],[f80,f436,f448]) ).

fof(f452,definition,
    ( sQ77_spl
  <=> hskp19 ),
    introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).

fof(f454,plain,
    ( sQ77_spl
    | ~ hskp19 ),
    inference(component_clause,[status(thm)],[f452]) ).

fof(f455,plain,
    ( sQ1_spl
    | ~ sQ77_spl ),
    inference(split_clause,[status(thm)],[f81,f452,f148]) ).

fof(f456,definition,
    ( sQ78_spl
  <=> c0_1(a177) ),
    introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).

fof(f459,plain,
    ( ~ sQ78_spl
    | ~ sQ77_spl ),
    inference(split_clause,[status(thm)],[f82,f452,f456]) ).

fof(f460,definition,
    ( sQ79_spl
  <=> c3_1(a177) ),
    introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).

fof(f463,plain,
    ( sQ79_spl
    | ~ sQ77_spl ),
    inference(split_clause,[status(thm)],[f83,f452,f460]) ).

fof(f464,definition,
    ( sQ80_spl
  <=> c1_1(a177) ),
    introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).

fof(f467,plain,
    ( sQ80_spl
    | ~ sQ77_spl ),
    inference(split_clause,[status(thm)],[f84,f452,f464]) ).

fof(f468,definition,
    ( sQ81_spl
  <=> hskp20 ),
    introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).

fof(f470,plain,
    ( sQ81_spl
    | ~ hskp20 ),
    inference(component_clause,[status(thm)],[f468]) ).

fof(f471,plain,
    ( sQ1_spl
    | ~ sQ81_spl ),
    inference(split_clause,[status(thm)],[f85,f468,f148]) ).

fof(f472,definition,
    ( sQ82_spl
  <=> c3_1(a179) ),
    introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).

fof(f475,plain,
    ( sQ82_spl
    | ~ sQ81_spl ),
    inference(split_clause,[status(thm)],[f86,f468,f472]) ).

fof(f476,definition,
    ( sQ83_spl
  <=> c2_1(a179) ),
    introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).

fof(f479,plain,
    ( sQ83_spl
    | ~ sQ81_spl ),
    inference(split_clause,[status(thm)],[f87,f468,f476]) ).

fof(f480,definition,
    ( sQ84_spl
  <=> c0_1(a179) ),
    introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).

fof(f483,plain,
    ( sQ84_spl
    | ~ sQ81_spl ),
    inference(split_clause,[status(thm)],[f88,f468,f480]) ).

fof(f484,definition,
    ( sQ85_spl
  <=> hskp21 ),
    introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).

fof(f486,plain,
    ( sQ85_spl
    | ~ hskp21 ),
    inference(component_clause,[status(thm)],[f484]) ).

fof(f487,plain,
    ( sQ1_spl
    | ~ sQ85_spl ),
    inference(split_clause,[status(thm)],[f89,f484,f148]) ).

fof(f488,definition,
    ( sQ86_spl
  <=> c1_1(a180) ),
    introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).

fof(f491,plain,
    ( ~ sQ86_spl
    | ~ sQ85_spl ),
    inference(split_clause,[status(thm)],[f90,f484,f488]) ).

fof(f492,definition,
    ( sQ87_spl
  <=> c2_1(a180) ),
    introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).

fof(f495,plain,
    ( ~ sQ87_spl
    | ~ sQ85_spl ),
    inference(split_clause,[status(thm)],[f91,f484,f492]) ).

fof(f496,definition,
    ( sQ88_spl
  <=> c3_1(a180) ),
    introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).

fof(f499,plain,
    ( sQ88_spl
    | ~ sQ85_spl ),
    inference(split_clause,[status(thm)],[f92,f484,f496]) ).

fof(f500,definition,
    ( sQ89_spl
  <=> hskp22 ),
    introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).

fof(f502,plain,
    ( sQ89_spl
    | ~ hskp22 ),
    inference(component_clause,[status(thm)],[f500]) ).

fof(f503,plain,
    ( sQ1_spl
    | ~ sQ89_spl ),
    inference(split_clause,[status(thm)],[f93,f500,f148]) ).

fof(f504,definition,
    ( sQ90_spl
  <=> c2_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).

fof(f507,plain,
    ( sQ90_spl
    | ~ sQ89_spl ),
    inference(split_clause,[status(thm)],[f94,f500,f504]) ).

fof(f508,definition,
    ( sQ91_spl
  <=> c3_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).

fof(f511,plain,
    ( ~ sQ91_spl
    | ~ sQ89_spl ),
    inference(split_clause,[status(thm)],[f95,f500,f508]) ).

fof(f512,definition,
    ( sQ92_spl
  <=> c0_1(a183) ),
    introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).

fof(f515,plain,
    ( sQ92_spl
    | ~ sQ89_spl ),
    inference(split_clause,[status(thm)],[f96,f500,f512]) ).

fof(f516,definition,
    ( sQ93_spl
  <=> hskp23 ),
    introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).

fof(f517,plain,
    ( ~ sQ93_spl
    | hskp23 ),
    inference(component_clause,[status(thm)],[f516]) ).

fof(f519,plain,
    ( sQ1_spl
    | ~ sQ93_spl ),
    inference(split_clause,[status(thm)],[f97,f516,f148]) ).

fof(f520,definition,
    ( sQ94_spl
  <=> c1_1(a184) ),
    introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).

fof(f521,plain,
    ( ~ sQ94_spl
    | c1_1(a184) ),
    inference(component_clause,[status(thm)],[f520]) ).

fof(f523,plain,
    ( sQ94_spl
    | ~ sQ93_spl ),
    inference(split_clause,[status(thm)],[f98,f516,f520]) ).

fof(f524,definition,
    ( sQ95_spl
  <=> c2_1(a184) ),
    introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).

fof(f525,plain,
    ( ~ sQ95_spl
    | c2_1(a184) ),
    inference(component_clause,[status(thm)],[f524]) ).

fof(f527,plain,
    ( sQ95_spl
    | ~ sQ93_spl ),
    inference(split_clause,[status(thm)],[f99,f516,f524]) ).

fof(f528,definition,
    ( sQ96_spl
  <=> c0_1(a184) ),
    introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).

fof(f529,plain,
    ( ~ sQ96_spl
    | c0_1(a184) ),
    inference(component_clause,[status(thm)],[f528]) ).

fof(f531,plain,
    ( sQ96_spl
    | ~ sQ93_spl ),
    inference(split_clause,[status(thm)],[f100,f516,f528]) ).

fof(f532,definition,
    ( sQ97_spl
  <=> hskp24 ),
    introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).

fof(f534,plain,
    ( sQ97_spl
    | ~ hskp24 ),
    inference(component_clause,[status(thm)],[f532]) ).

fof(f535,plain,
    ( sQ1_spl
    | ~ sQ97_spl ),
    inference(split_clause,[status(thm)],[f101,f532,f148]) ).

fof(f536,definition,
    ( sQ98_spl
  <=> c1_1(a185) ),
    introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).

fof(f539,plain,
    ( sQ98_spl
    | ~ sQ97_spl ),
    inference(split_clause,[status(thm)],[f102,f532,f536]) ).

fof(f540,definition,
    ( sQ99_spl
  <=> c3_1(a185) ),
    introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).

fof(f543,plain,
    ( sQ99_spl
    | ~ sQ97_spl ),
    inference(split_clause,[status(thm)],[f103,f532,f540]) ).

fof(f544,definition,
    ( sQ100_spl
  <=> c0_1(a185) ),
    introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).

fof(f547,plain,
    ( sQ100_spl
    | ~ sQ97_spl ),
    inference(split_clause,[status(thm)],[f104,f532,f544]) ).

fof(f548,definition,
    ( sQ101_spl
  <=> hskp25 ),
    introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).

fof(f549,plain,
    ( ~ sQ101_spl
    | hskp25 ),
    inference(component_clause,[status(thm)],[f548]) ).

fof(f551,plain,
    ( sQ1_spl
    | ~ sQ101_spl ),
    inference(split_clause,[status(thm)],[f105,f548,f148]) ).

fof(f552,definition,
    ( sQ102_spl
  <=> c0_1(a186) ),
    introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).

fof(f554,plain,
    ( sQ102_spl
    | ~ c0_1(a186) ),
    inference(component_clause,[status(thm)],[f552]) ).

fof(f555,plain,
    ( ~ sQ102_spl
    | ~ sQ101_spl ),
    inference(split_clause,[status(thm)],[f106,f548,f552]) ).

fof(f556,definition,
    ( sQ103_spl
  <=> c2_1(a186) ),
    introduced(definition,[new_symbols(definition,[sQ103_spl])],[split_symbol_definition]) ).

fof(f558,plain,
    ( sQ103_spl
    | ~ c2_1(a186) ),
    inference(component_clause,[status(thm)],[f556]) ).

fof(f559,plain,
    ( ~ sQ103_spl
    | ~ sQ101_spl ),
    inference(split_clause,[status(thm)],[f107,f548,f556]) ).

fof(f560,definition,
    ( sQ104_spl
  <=> c1_1(a186) ),
    introduced(definition,[new_symbols(definition,[sQ104_spl])],[split_symbol_definition]) ).

fof(f561,plain,
    ( ~ sQ104_spl
    | c1_1(a186) ),
    inference(component_clause,[status(thm)],[f560]) ).

fof(f563,plain,
    ( sQ104_spl
    | ~ sQ101_spl ),
    inference(split_clause,[status(thm)],[f108,f548,f560]) ).

fof(f564,definition,
    ( sQ105_spl
  <=> hskp26 ),
    introduced(definition,[new_symbols(definition,[sQ105_spl])],[split_symbol_definition]) ).

fof(f566,plain,
    ( sQ105_spl
    | ~ hskp26 ),
    inference(component_clause,[status(thm)],[f564]) ).

fof(f567,plain,
    ( sQ1_spl
    | ~ sQ105_spl ),
    inference(split_clause,[status(thm)],[f109,f564,f148]) ).

fof(f568,definition,
    ( sQ106_spl
  <=> c2_1(a187) ),
    introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).

fof(f571,plain,
    ( ~ sQ106_spl
    | ~ sQ105_spl ),
    inference(split_clause,[status(thm)],[f110,f564,f568]) ).

fof(f572,definition,
    ( sQ107_spl
  <=> c1_1(a187) ),
    introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).

fof(f575,plain,
    ( ~ sQ107_spl
    | ~ sQ105_spl ),
    inference(split_clause,[status(thm)],[f111,f564,f572]) ).

fof(f576,definition,
    ( sQ108_spl
  <=> c3_1(a187) ),
    introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).

fof(f579,plain,
    ( sQ108_spl
    | ~ sQ105_spl ),
    inference(split_clause,[status(thm)],[f112,f564,f576]) ).

fof(f580,definition,
    ( sQ109_spl
  <=> hskp27 ),
    introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).

fof(f582,plain,
    ( sQ109_spl
    | ~ hskp27 ),
    inference(component_clause,[status(thm)],[f580]) ).

fof(f583,plain,
    ( sQ1_spl
    | ~ sQ109_spl ),
    inference(split_clause,[status(thm)],[f113,f580,f148]) ).

fof(f584,definition,
    ( sQ110_spl
  <=> c2_1(a188) ),
    introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).

fof(f587,plain,
    ( ~ sQ110_spl
    | ~ sQ109_spl ),
    inference(split_clause,[status(thm)],[f114,f580,f584]) ).

fof(f588,definition,
    ( sQ111_spl
  <=> c1_1(a188) ),
    introduced(definition,[new_symbols(definition,[sQ111_spl])],[split_symbol_definition]) ).

fof(f591,plain,
    ( sQ111_spl
    | ~ sQ109_spl ),
    inference(split_clause,[status(thm)],[f115,f580,f588]) ).

fof(f592,definition,
    ( sQ112_spl
  <=> c0_1(a188) ),
    introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).

fof(f595,plain,
    ( sQ112_spl
    | ~ sQ109_spl ),
    inference(split_clause,[status(thm)],[f116,f580,f592]) ).

fof(f596,definition,
    ( sQ113_spl
  <=> hskp28 ),
    introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).

fof(f598,plain,
    ( sQ113_spl
    | ~ hskp28 ),
    inference(component_clause,[status(thm)],[f596]) ).

fof(f599,plain,
    ( sQ1_spl
    | ~ sQ113_spl ),
    inference(split_clause,[status(thm)],[f117,f596,f148]) ).

fof(f600,definition,
    ( sQ114_spl
  <=> c2_1(a190) ),
    introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).

fof(f603,plain,
    ( sQ114_spl
    | ~ sQ113_spl ),
    inference(split_clause,[status(thm)],[f118,f596,f600]) ).

fof(f604,definition,
    ( sQ115_spl
  <=> c1_1(a190) ),
    introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).

fof(f607,plain,
    ( ~ sQ115_spl
    | ~ sQ113_spl ),
    inference(split_clause,[status(thm)],[f119,f596,f604]) ).

fof(f608,definition,
    ( sQ116_spl
  <=> c0_1(a190) ),
    introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).

fof(f611,plain,
    ( sQ116_spl
    | ~ sQ113_spl ),
    inference(split_clause,[status(thm)],[f120,f596,f608]) ).

fof(f612,definition,
    ( sQ117_spl
  <=> hskp29 ),
    introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).

fof(f614,plain,
    ( sQ117_spl
    | ~ hskp29 ),
    inference(component_clause,[status(thm)],[f612]) ).

fof(f615,plain,
    ( sQ1_spl
    | ~ sQ117_spl ),
    inference(split_clause,[status(thm)],[f121,f612,f148]) ).

fof(f616,definition,
    ( sQ118_spl
  <=> c2_1(a193) ),
    introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).

fof(f619,plain,
    ( sQ118_spl
    | ~ sQ117_spl ),
    inference(split_clause,[status(thm)],[f122,f612,f616]) ).

fof(f620,definition,
    ( sQ119_spl
  <=> c3_1(a193) ),
    introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).

fof(f623,plain,
    ( sQ119_spl
    | ~ sQ117_spl ),
    inference(split_clause,[status(thm)],[f123,f612,f620]) ).

fof(f624,definition,
    ( sQ120_spl
  <=> c0_1(a193) ),
    introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).

fof(f627,plain,
    ( sQ120_spl
    | ~ sQ117_spl ),
    inference(split_clause,[status(thm)],[f124,f612,f624]) ).

fof(f628,definition,
    ! [X0] :
      ( sQ121_spl
    <=> ( c3_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).

fof(f631,definition,
    ! [X1] :
      ( sQ122_spl
    <=> ( ~ c2_1(X1)
        | c1_1(X1)
        | c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ122_spl])],[split_symbol_definition]) ).

fof(f632,plain,
    ! [X0] :
      ( ~ sQ122_spl
      | ~ c2_1(X0)
      | c1_1(X0)
      | c3_1(X0) ),
    inference(component_clause,[status(thm)],[f631]) ).

fof(f634,plain,
    ( sQ122_spl
    | sQ121_spl
    | ~ sQ1_spl
    | sQ41_spl ),
    inference(split_clause,[status(thm)],[f125,f308,f148,f628,f631]) ).

fof(f635,definition,
    ! [X0] :
      ( sQ123_spl
    <=> ( ~ c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).

fof(f638,definition,
    ! [X1] :
      ( sQ124_spl
    <=> ( ~ c0_1(X1)
        | ~ c2_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).

fof(f641,plain,
    ( sQ124_spl
    | sQ45_spl
    | sQ123_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f126,f148,f635,f324,f638]) ).

fof(f642,definition,
    ! [X0] :
      ( sQ125_spl
    <=> ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).

fof(f645,plain,
    ( sQ45_spl
    | sQ49_spl
    | sQ125_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f127,f148,f642,f340,f324]) ).

fof(f646,definition,
    ! [X0] :
      ( sQ126_spl
    <=> ( ~ c2_1(X0)
        | ~ c0_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).

fof(f649,plain,
    ( sQ53_spl
    | sQ122_spl
    | sQ126_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f128,f148,f646,f631,f356]) ).

fof(f650,plain,
    ( sQ0_spl
    | sQ124_spl
    | ~ sQ1_spl
    | sQ57_spl ),
    inference(split_clause,[status(thm)],[f129,f372,f148,f638,f145]) ).

fof(f651,definition,
    ! [X0] :
      ( sQ127_spl
    <=> ( c1_1(X0)
        | c2_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).

fof(f654,plain,
    ( sQ61_spl
    | sQ5_spl
    | sQ127_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f130,f148,f651,f164,f388]) ).

fof(f655,definition,
    ! [X0] :
      ( sQ128_spl
    <=> ( c3_1(X0)
        | ~ c2_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition]) ).

fof(f656,plain,
    ! [X0] :
      ( ~ sQ128_spl
      | c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(component_clause,[status(thm)],[f655]) ).

fof(f658,plain,
    ( sQ9_spl
    | sQ65_spl
    | sQ128_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f131,f148,f655,f404,f180]) ).

fof(f659,definition,
    ! [X0] :
      ( sQ129_spl
    <=> ( ~ c1_1(X0)
        | c2_1(X0)
        | c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ129_spl])],[split_symbol_definition]) ).

fof(f660,plain,
    ! [X0] :
      ( ~ sQ129_spl
      | ~ c1_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(component_clause,[status(thm)],[f659]) ).

fof(f662,definition,
    ! [X1] :
      ( sQ130_spl
    <=> ( c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).

fof(f665,plain,
    ( sQ13_spl
    | sQ130_spl
    | sQ129_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f132,f148,f659,f662,f196]) ).

fof(f666,definition,
    ! [X0] :
      ( sQ131_spl
    <=> ( ~ c3_1(X0)
        | c0_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ131_spl])],[split_symbol_definition]) ).

fof(f669,definition,
    ! [X1] :
      ( sQ132_spl
    <=> ( ~ c3_1(X1)
        | c1_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ132_spl])],[split_symbol_definition]) ).

fof(f670,plain,
    ! [X0] :
      ( ~ sQ132_spl
      | ~ c3_1(X0)
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f669]) ).

fof(f672,plain,
    ( sQ132_spl
    | sQ69_spl
    | sQ131_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f133,f148,f666,f420,f669]) ).

fof(f673,definition,
    ! [X0] :
      ( sQ133_spl
    <=> ( ~ c0_1(X0)
        | c1_1(X0)
        | c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).

fof(f676,plain,
    ( sQ132_spl
    | sQ133_spl
    | ~ sQ1_spl
    | sQ73_spl ),
    inference(split_clause,[status(thm)],[f134,f436,f148,f673,f669]) ).

fof(f677,definition,
    ! [X0] :
      ( sQ134_spl
    <=> ( c0_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).

fof(f680,plain,
    ( sQ134_spl
    | ~ sQ1_spl
    | sQ77_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f135,f212,f452,f148,f677]) ).

fof(f681,plain,
    ( sQ85_spl
    | sQ81_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f136,f228,f468,f484]) ).

fof(f682,plain,
    ( sQ89_spl
    | sQ69_spl
    | sQ25_spl ),
    inference(split_clause,[status(thm)],[f137,f244,f420,f500]) ).

fof(f683,plain,
    ( sQ122_spl
    | ~ sQ1_spl
    | sQ97_spl
    | sQ93_spl ),
    inference(split_clause,[status(thm)],[f138,f516,f532,f148,f631]) ).

fof(f684,definition,
    ! [X0] :
      ( sQ135_spl
    <=> ( c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).

fof(f687,plain,
    ( sQ105_spl
    | sQ135_spl
    | ~ sQ1_spl
    | sQ101_spl ),
    inference(split_clause,[status(thm)],[f139,f548,f148,f684,f564]) ).

fof(f688,plain,
    ( sQ29_spl
    | sQ128_spl
    | ~ sQ1_spl
    | sQ109_spl ),
    inference(split_clause,[status(thm)],[f140,f580,f148,f655,f260]) ).

fof(f689,definition,
    ! [X2] :
      ( sQ136_spl
    <=> ( c3_1(X2)
        | ~ c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).

fof(f692,plain,
    ( sQ136_spl
    | sQ128_spl
    | sQ129_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f141,f148,f659,f655,f689]) ).

fof(f693,plain,
    ( sQ33_spl
    | sQ85_spl
    | sQ113_spl ),
    inference(split_clause,[status(thm)],[f142,f596,f484,f276]) ).

fof(f694,definition,
    ! [X0] :
      ( sQ137_spl
    <=> ( ~ c2_1(X0)
        | c0_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).

fof(f697,plain,
    ( sQ101_spl
    | sQ137_spl
    | ~ sQ1_spl
    | sQ117_spl ),
    inference(split_clause,[status(thm)],[f143,f612,f148,f694,f548]) ).

fof(f698,definition,
    ! [X0] :
      ( sQ138_spl
    <=> ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c3_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ138_spl])],[split_symbol_definition]) ).

fof(f699,plain,
    ! [X0] :
      ( ~ sQ138_spl
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(component_clause,[status(thm)],[f698]) ).

fof(f701,definition,
    ! [X1] :
      ( sQ139_spl
    <=> ( ~ c2_1(X1)
        | c0_1(X1)
        | c1_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).

fof(f702,plain,
    ! [X0] :
      ( ~ sQ139_spl
      | ~ c2_1(X0)
      | c0_1(X0)
      | c1_1(X0) ),
    inference(component_clause,[status(thm)],[f701]) ).

fof(f704,plain,
    ( sQ139_spl
    | sQ138_spl
    | ~ sQ1_spl
    | sQ37_spl ),
    inference(split_clause,[status(thm)],[f144,f292,f148,f698,f701]) ).

fof(f705,plain,
    ! [X0] :
      ( ~ sQ122_spl
      | ~ sQ128_spl
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f632,f656]) ).

fof(f706,plain,
    ! [X0] :
      ( ~ sQ132_spl
      | ~ sQ122_spl
      | ~ sQ128_spl
      | c1_1(X0)
      | ~ c2_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f670,f705]) ).

fof(f707,plain,
    ! [X0] :
      ( ~ sQ129_spl
      | ~ sQ122_spl
      | ~ sQ128_spl
      | ~ c1_1(X0)
      | c3_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f660,f705]) ).

fof(f708,plain,
    ! [X0] :
      ( ~ sQ138_spl
      | ~ sQ129_spl
      | ~ sQ122_spl
      | ~ sQ128_spl
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f699,f707]) ).

fof(f709,plain,
    ( ~ sQ129_spl
    | ~ sQ122_spl
    | ~ sQ128_spl
    | ~ sQ104_spl
    | c3_1(a186) ),
    inference(resolution,[status(thm)],[f561,f707]) ).

fof(f710,plain,
    ( ~ sQ129_spl
    | ~ sQ122_spl
    | ~ sQ128_spl
    | ~ sQ94_spl
    | c3_1(a184) ),
    inference(resolution,[status(thm)],[f521,f707]) ).

fof(f711,plain,
    ( ~ sQ132_spl
    | ~ sQ122_spl
    | ~ sQ128_spl
    | ~ sQ95_spl
    | c1_1(a184) ),
    inference(resolution,[status(thm)],[f525,f706]) ).

fof(f712,plain,
    ( ~ sQ122_spl
    | ~ sQ128_spl
    | ~ sQ95_spl
    | c3_1(a184) ),
    inference(resolution,[status(thm)],[f525,f705]) ).

fof(f713,plain,
    ( ~ sQ94_spl
    | ~ sQ138_spl
    | ~ sQ129_spl
    | ~ sQ122_spl
    | ~ sQ128_spl
    | c0_1(a184) ),
    inference(resolution,[status(thm)],[f708,f521]) ).

fof(f714,plain,
    ( ~ sQ104_spl
    | ~ sQ138_spl
    | ~ sQ129_spl
    | ~ sQ122_spl
    | ~ sQ128_spl
    | c0_1(a186) ),
    inference(resolution,[status(thm)],[f708,f561]) ).

fof(f715,plain,
    ( ~ sQ104_spl
    | ~ sQ138_spl
    | ~ sQ129_spl
    | ~ sQ122_spl
    | ~ sQ128_spl
    | sQ102_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f714,f554]) ).

fof(f716,plain,
    ( ~ sQ104_spl
    | ~ sQ138_spl
    | ~ sQ129_spl
    | ~ sQ122_spl
    | ~ sQ128_spl
    | sQ102_spl ),
    inference(contradiction_clause,[status(thm)],[f715]) ).

fof(f717,plain,
    ! [X0] :
      ( ~ sQ122_spl
      | ~ sQ132_spl
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f632,f670]) ).

fof(f718,plain,
    ( ~ sQ30_spl
    | ~ sQ122_spl
    | ~ sQ132_spl
    | c1_1(a189) ),
    inference(resolution,[status(thm)],[f717,f265]) ).

fof(f719,plain,
    ( ~ sQ95_spl
    | ~ sQ122_spl
    | ~ sQ132_spl
    | c1_1(a184) ),
    inference(resolution,[status(thm)],[f717,f525]) ).

fof(f720,plain,
    ( ~ sQ31_spl
    | ~ sQ129_spl
    | c2_1(a189)
    | c3_1(a189) ),
    inference(resolution,[status(thm)],[f660,f269]) ).

fof(f721,plain,
    ( ~ sQ94_spl
    | ~ sQ129_spl
    | c2_1(a184)
    | c3_1(a184) ),
    inference(resolution,[status(thm)],[f660,f521]) ).

fof(f722,plain,
    ( ~ sQ104_spl
    | ~ sQ129_spl
    | c2_1(a186)
    | c3_1(a186) ),
    inference(resolution,[status(thm)],[f660,f561]) ).

fof(f723,plain,
    ( ~ sQ31_spl
    | ~ sQ129_spl
    | sQ30_spl
    | sQ32_spl ),
    inference(split_clause,[status(thm)],[f720,f272,f264,f659,f268]) ).

fof(f724,definition,
    ( sQ140_spl
  <=> c3_1(a184) ),
    introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).

fof(f727,plain,
    ( ~ sQ94_spl
    | ~ sQ129_spl
    | sQ95_spl
    | sQ140_spl ),
    inference(split_clause,[status(thm)],[f721,f724,f524,f659,f520]) ).

fof(f728,definition,
    ( sQ141_spl
  <=> c3_1(a186) ),
    introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).

fof(f731,plain,
    ( ~ sQ104_spl
    | ~ sQ129_spl
    | sQ103_spl
    | sQ141_spl ),
    inference(split_clause,[status(thm)],[f722,f728,f556,f659,f560]) ).

fof(model,axiom,
    ( sQ0_spl
    | sQ1_spl
    | ~ sQ2_spl
    | ~ sQ3_spl
    | ~ sQ4_spl
    | sQ5_spl
    | sQ6_spl
    | ~ sQ7_spl
    | ~ sQ8_spl
    | ~ sQ9_spl
    | sQ13_spl
    | ~ sQ14_spl
    | sQ15_spl
    | ~ sQ16_spl
    | sQ17_spl
    | ~ sQ18_spl
    | ~ sQ19_spl
    | ~ sQ20_spl
    | sQ21_spl
    | ~ sQ22_spl
    | ~ sQ23_spl
    | ~ sQ24_spl
    | sQ25_spl
    | sQ26_spl
    | ~ sQ27_spl
    | ~ sQ28_spl
    | ~ sQ29_spl
    | sQ33_spl
    | ~ sQ34_spl
    | sQ35_spl
    | ~ sQ36_spl
    | ~ sQ37_spl
    | ~ sQ41_spl
    | sQ45_spl
    | ~ sQ46_spl
    | sQ47_spl
    | sQ48_spl
    | ~ sQ49_spl
    | ~ sQ53_spl
    | ~ sQ57_spl
    | ~ sQ61_spl
    | ~ sQ65_spl
    | ~ sQ69_spl
    | ~ sQ73_spl
    | ~ sQ77_spl
    | ~ sQ81_spl
    | ~ sQ85_spl
    | ~ sQ89_spl
    | sQ93_spl
    | sQ94_spl
    | sQ95_spl
    | sQ96_spl
    | ~ sQ97_spl
    | sQ101_spl
    | ~ sQ102_spl
    | ~ sQ103_spl
    | sQ104_spl
    | ~ sQ105_spl
    | ~ sQ109_spl
    | ~ sQ113_spl
    | ~ sQ117_spl
    | sQ122_spl
    | sQ128_spl
    | ~ sQ129_spl
    | sQ132_spl
    | sQ139_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SYN432+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.02  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.30  % Computer : n012.cluster.edu
% 0.02/0.30  % Model    : x86_64 x86_64
% 0.02/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.30  % Memory   : 8046.5625MB
% 0.02/0.30  % OS       : Linux 6.8.0-71-generic
% 0.02/0.30  % CPULimit : 300
% 0.02/0.30  % WCLimit  : 300
% 0.02/0.30  % DateTime : Mon Sep 21 10:55:37 UTC 2026
% 0.02/0.30  % CPUTime  : 
% 0.02/0.31  % Drodi V4.1.1
% 0.02/0.34  % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.02/0.34  % SZS output start Saturation for theBenchmark
% See solution above
% 0.07/0.36  % Elapsed time: 0.051497 seconds
% 0.07/0.36  % CPU time: 0.109343 seconds
% 0.07/0.36  % Total memory used: 21.554 MB
% 0.07/0.36  % Net memory used: 21.519 MB
%------------------------------------------------------------------------------