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

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SYN493+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:19:49 PM UTC 2026

% Result   : CounterSatisfiable 0.18s 0.45s
% Output   : Saturation 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( ! [X7] :
            ( ndr1_0
           => ( ~ c0_1(X7)
              | ~ c1_1(X7)
              | ~ c2_1(X7) ) )
        | hskp3
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | ~ c1_1(X6)
              | ~ c2_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c1_1(X5)
              | ~ c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | ~ c3_1(X4)
              | ~ c2_1(X4) ) )
        | hskp10 )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c0_1(X3)
              | ~ c1_1(X3)
              | ~ c2_1(X3) ) )
        | hskp9
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | ~ c1_1(X2)
              | c0_1(X2) ) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | ~ c0_1(X1)
              | ~ c2_1(X1) ) )
        | ! [Z] :
            ( ndr1_0
           => ( c1_1(Z)
              | c0_1(Z)
              | ~ c3_1(Z) ) )
        | ! [Y] :
            ( ndr1_0
           => ( ~ c3_1(Y)
              | c2_1(Y)
              | c1_1(Y) ) ) )
      & ( hskp8
        | ! [X] :
            ( ndr1_0
           => ( c1_1(X)
              | c2_1(X)
              | c0_1(X) ) )
        | ! [W] :
            ( ndr1_0
           => ( ~ c3_1(W)
              | ~ c1_1(W)
              | ~ c0_1(W) ) ) )
      & ( hskp7
        | hskp2
        | hskp6 )
      & ( ! [V] :
            ( ndr1_0
           => ( c3_1(V)
              | c2_1(V)
              | c0_1(V) ) )
        | hskp1
        | hskp5 )
      & ( ! [U] :
            ( ndr1_0
           => ( c0_1(U)
              | ~ c2_1(U)
              | c1_1(U) ) )
        | hskp0
        | hskp4 )
      & ( ( c1_1(a47)
          & ~ c0_1(a47)
          & c3_1(a47)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( c3_1(a46)
          & c1_1(a46)
          & c0_1(a46)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( c1_1(a45)
          & c2_1(a45)
          & c3_1(a45)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( c3_1(a44)
          & c0_1(a44)
          & c1_1(a44)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( c2_1(a42)
          & ~ c0_1(a42)
          & c3_1(a42)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( c1_1(a40)
          & ~ c2_1(a40)
          & ~ c0_1(a40)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( c2_1(a38)
          & ~ c1_1(a38)
          & ~ c0_1(a38)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a48)
          & c0_1(a48)
          & c3_1(a48)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c1_1(a43)
          & c3_1(a43)
          & ~ c0_1(a43)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c0_1(a41)
          & ~ c2_1(a41)
          & c3_1(a41)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a39)
          & ~ c1_1(a39)
          & ~ c0_1(a39)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X7] :
              ( ndr1_0
             => ( ~ c0_1(X7)
                | ~ c1_1(X7)
                | ~ c2_1(X7) ) )
          | hskp3
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | ~ c1_1(X6)
                | ~ c2_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c1_1(X5)
                | ~ c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | ~ c3_1(X4)
                | ~ c2_1(X4) ) )
          | hskp10 )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c0_1(X3)
                | ~ c1_1(X3)
                | ~ c2_1(X3) ) )
          | hskp9
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c1_1(X2)
                | c0_1(X2) ) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c0_1(X1)
                | ~ c2_1(X1) ) )
          | ! [Z] :
              ( ndr1_0
             => ( c1_1(Z)
                | c0_1(Z)
                | ~ c3_1(Z) ) )
          | ! [Y] :
              ( ndr1_0
             => ( ~ c3_1(Y)
                | c2_1(Y)
                | c1_1(Y) ) ) )
        & ( hskp8
          | ! [X] :
              ( ndr1_0
             => ( c1_1(X)
                | c2_1(X)
                | c0_1(X) ) )
          | ! [W] :
              ( ndr1_0
             => ( ~ c3_1(W)
                | ~ c1_1(W)
                | ~ c0_1(W) ) ) )
        & ( hskp7
          | hskp2
          | hskp6 )
        & ( ! [V] :
              ( ndr1_0
             => ( c3_1(V)
                | c2_1(V)
                | c0_1(V) ) )
          | hskp1
          | hskp5 )
        & ( ! [U] :
              ( ndr1_0
             => ( c0_1(U)
                | ~ c2_1(U)
                | c1_1(U) ) )
          | hskp0
          | hskp4 )
        & ( ( c1_1(a47)
            & ~ c0_1(a47)
            & c3_1(a47)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( c3_1(a46)
            & c1_1(a46)
            & c0_1(a46)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( c1_1(a45)
            & c2_1(a45)
            & c3_1(a45)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( c3_1(a44)
            & c0_1(a44)
            & c1_1(a44)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( c2_1(a42)
            & ~ c0_1(a42)
            & c3_1(a42)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( c1_1(a40)
            & ~ c2_1(a40)
            & ~ c0_1(a40)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( c2_1(a38)
            & ~ c1_1(a38)
            & ~ c0_1(a38)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a48)
            & c0_1(a48)
            & c3_1(a48)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c1_1(a43)
            & c3_1(a43)
            & ~ c0_1(a43)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c0_1(a41)
            & ~ c2_1(a41)
            & c3_1(a41)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a39)
            & ~ c1_1(a39)
            & ~ c0_1(a39)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ! [X7] :
          ( ~ c0_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7)
          | ~ ndr1_0 )
      | hskp3
      | ! [X6] :
          ( c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c0_1(X4)
          | ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X3] :
          ( ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ c2_1(X3)
          | ~ ndr1_0 )
      | hskp9
      | ! [X2] :
          ( c3_1(X2)
          | ~ c1_1(X2)
          | c0_1(X2)
          | ~ ndr1_0 ) )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 )
      | ! [Z] :
          ( c1_1(Z)
          | c0_1(Z)
          | ~ c3_1(Z)
          | ~ ndr1_0 )
      | ! [Y] :
          ( ~ c3_1(Y)
          | c2_1(Y)
          | c1_1(Y)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X] :
          ( c1_1(X)
          | c2_1(X)
          | c0_1(X)
          | ~ ndr1_0 )
      | ! [W] :
          ( ~ c3_1(W)
          | ~ c1_1(W)
          | ~ c0_1(W)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp2
      | hskp6 )
    & ( ! [V] :
          ( c3_1(V)
          | c2_1(V)
          | c0_1(V)
          | ~ ndr1_0 )
      | hskp1
      | hskp5 )
    & ( ! [U] :
          ( c0_1(U)
          | ~ c2_1(U)
          | c1_1(U)
          | ~ ndr1_0 )
      | hskp0
      | hskp4 )
    & ( ( c1_1(a47)
        & ~ c0_1(a47)
        & c3_1(a47)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c3_1(a46)
        & c1_1(a46)
        & c0_1(a46)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a45)
        & c2_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c3_1(a44)
        & c0_1(a44)
        & c1_1(a44)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c2_1(a42)
        & ~ c0_1(a42)
        & c3_1(a42)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c1_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( c2_1(a38)
        & ~ c1_1(a38)
        & ~ c0_1(a38)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a48)
        & c0_1(a48)
        & c3_1(a48)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a43)
        & c3_1(a43)
        & ~ c0_1(a43)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a41)
        & ~ c2_1(a41)
        & c3_1(a41)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a39)
        & ~ c1_1(a39)
        & ~ c0_1(a39)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(pre_NNF_transformation,[status(thm)],[f2]) ).

fof(f4,plain,
    ( ( ! [X7] :
          ( ~ c0_1(X7)
          | ~ c1_1(X7)
          | ~ c2_1(X7) )
      | ~ ndr1_0
      | hskp3
      | ! [X6] :
          ( c0_1(X6)
          | ~ c1_1(X6)
          | ~ c2_1(X6) )
      | ~ ndr1_0 )
    & ( ! [X5] :
          ( c2_1(X5)
          | ~ c1_1(X5)
          | ~ c3_1(X5) )
      | ~ ndr1_0
      | ! [X4] :
          ( c0_1(X4)
          | ~ c3_1(X4)
          | ~ c2_1(X4) )
      | ~ ndr1_0
      | hskp10 )
    & ( ! [X3] :
          ( ~ c0_1(X3)
          | ~ c1_1(X3)
          | ~ c2_1(X3) )
      | ~ ndr1_0
      | hskp9
      | ! [X2] :
          ( c3_1(X2)
          | ~ c1_1(X2)
          | c0_1(X2) )
      | ~ ndr1_0 )
    & ( ! [X1] :
          ( ~ c1_1(X1)
          | ~ c0_1(X1)
          | ~ c2_1(X1) )
      | ~ ndr1_0
      | ! [Z] :
          ( c1_1(Z)
          | c0_1(Z)
          | ~ c3_1(Z) )
      | ~ ndr1_0
      | ! [Y] :
          ( ~ c3_1(Y)
          | c2_1(Y)
          | c1_1(Y) )
      | ~ ndr1_0 )
    & ( hskp8
      | ! [X] :
          ( c1_1(X)
          | c2_1(X)
          | c0_1(X) )
      | ~ ndr1_0
      | ! [W] :
          ( ~ c3_1(W)
          | ~ c1_1(W)
          | ~ c0_1(W) )
      | ~ ndr1_0 )
    & ( hskp7
      | hskp2
      | hskp6 )
    & ( ! [V] :
          ( c3_1(V)
          | c2_1(V)
          | c0_1(V) )
      | ~ ndr1_0
      | hskp1
      | hskp5 )
    & ( ! [U] :
          ( c0_1(U)
          | ~ c2_1(U)
          | c1_1(U) )
      | ~ ndr1_0
      | hskp0
      | hskp4 )
    & ( ( c1_1(a47)
        & ~ c0_1(a47)
        & c3_1(a47)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c3_1(a46)
        & c1_1(a46)
        & c0_1(a46)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a45)
        & c2_1(a45)
        & c3_1(a45)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c3_1(a44)
        & c0_1(a44)
        & c1_1(a44)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c2_1(a42)
        & ~ c0_1(a42)
        & c3_1(a42)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c1_1(a40)
        & ~ c2_1(a40)
        & ~ c0_1(a40)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( c2_1(a38)
        & ~ c1_1(a38)
        & ~ c0_1(a38)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a48)
        & c0_1(a48)
        & c3_1(a48)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c1_1(a43)
        & c3_1(a43)
        & ~ c0_1(a43)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c0_1(a41)
        & ~ c2_1(a41)
        & c3_1(a41)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a39)
        & ~ c1_1(a39)
        & ~ c0_1(a39)
        & 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(a39)
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f7,plain,
    ( ~ c1_1(a39)
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f8,plain,
    ( ~ c2_1(a39)
    | ~ hskp0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f10,plain,
    ( c3_1(a41)
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f11,plain,
    ( ~ c2_1(a41)
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f12,plain,
    ( ~ c0_1(a41)
    | ~ hskp1 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f14,plain,
    ( ~ c0_1(a43)
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f15,plain,
    ( c3_1(a43)
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f16,plain,
    ( ~ c1_1(a43)
    | ~ hskp2 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f18,plain,
    ( c3_1(a48)
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f19,plain,
    ( c0_1(a48)
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f20,plain,
    ( ~ c1_1(a48)
    | ~ hskp3 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f22,plain,
    ( ~ c0_1(a38)
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f23,plain,
    ( ~ c1_1(a38)
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f24,plain,
    ( c2_1(a38)
    | ~ hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f26,plain,
    ( ~ c0_1(a40)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f27,plain,
    ( ~ c2_1(a40)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f28,plain,
    ( c1_1(a40)
    | ~ hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f30,plain,
    ( c3_1(a42)
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f31,plain,
    ( ~ c0_1(a42)
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f32,plain,
    ( c2_1(a42)
    | ~ hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f34,plain,
    ( c1_1(a44)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f35,plain,
    ( c0_1(a44)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f36,plain,
    ( c3_1(a44)
    | ~ hskp7 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f38,plain,
    ( c3_1(a45)
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f39,plain,
    ( c2_1(a45)
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f40,plain,
    ( c1_1(a45)
    | ~ hskp8 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f42,plain,
    ( c0_1(a46)
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f43,plain,
    ( c1_1(a46)
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f44,plain,
    ( c3_1(a46)
    | ~ hskp9 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

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

fof(f46,plain,
    ( c3_1(a47)
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f47,plain,
    ( ~ c0_1(a47)
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f48,plain,
    ( c1_1(a47)
    | ~ hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f49,plain,
    ! [X0] :
      ( c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp0
      | hskp4 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f50,plain,
    ! [X0] :
      ( c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | hskp1
      | hskp5 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f51,plain,
    ( hskp7
    | hskp2
    | hskp6 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( hskp8
      | c1_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f53,plain,
    ! [X0,X1,X2] :
      ( ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ c2_1(X2)
      | ~ ndr1_0
      | c1_1(X1)
      | c0_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(f54,plain,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp9
      | c3_1(X0)
      | ~ c1_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( c2_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0
      | hskp10 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ~ c0_1(X1)
      | ~ c1_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | hskp3
      | c0_1(X0)
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f57,definition,
    ( sQ0_spl
  <=> hskp0 ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f58,plain,
    ( ~ sQ0_spl
    | hskp0 ),
    inference(component_clause,[status(thm)],[f57]) ).

fof(f60,definition,
    ( sQ1_spl
  <=> ndr1_0 ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f61,plain,
    ( ~ sQ1_spl
    | ndr1_0 ),
    inference(component_clause,[status(thm)],[f60]) ).

fof(f63,plain,
    ( sQ1_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f5,f57,f60]) ).

fof(f64,definition,
    ( sQ2_spl
  <=> c0_1(a39) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f66,plain,
    ( sQ2_spl
    | ~ c0_1(a39) ),
    inference(component_clause,[status(thm)],[f64]) ).

fof(f67,plain,
    ( ~ sQ2_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f6,f57,f64]) ).

fof(f68,definition,
    ( sQ3_spl
  <=> c1_1(a39) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f70,plain,
    ( sQ3_spl
    | ~ c1_1(a39) ),
    inference(component_clause,[status(thm)],[f68]) ).

fof(f71,plain,
    ( ~ sQ3_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f7,f57,f68]) ).

fof(f72,definition,
    ( sQ4_spl
  <=> c2_1(a39) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f74,plain,
    ( sQ4_spl
    | ~ c2_1(a39) ),
    inference(component_clause,[status(thm)],[f72]) ).

fof(f75,plain,
    ( ~ sQ4_spl
    | ~ sQ0_spl ),
    inference(split_clause,[status(thm)],[f8,f57,f72]) ).

fof(f76,definition,
    ( sQ5_spl
  <=> hskp1 ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f77,plain,
    ( ~ sQ5_spl
    | hskp1 ),
    inference(component_clause,[status(thm)],[f76]) ).

fof(f79,plain,
    ( sQ1_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f9,f76,f60]) ).

fof(f80,definition,
    ( sQ6_spl
  <=> c3_1(a41) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f81,plain,
    ( ~ sQ6_spl
    | c3_1(a41) ),
    inference(component_clause,[status(thm)],[f80]) ).

fof(f83,plain,
    ( sQ6_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f10,f76,f80]) ).

fof(f84,definition,
    ( sQ7_spl
  <=> c2_1(a41) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f86,plain,
    ( sQ7_spl
    | ~ c2_1(a41) ),
    inference(component_clause,[status(thm)],[f84]) ).

fof(f87,plain,
    ( ~ sQ7_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f11,f76,f84]) ).

fof(f88,definition,
    ( sQ8_spl
  <=> c0_1(a41) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f90,plain,
    ( sQ8_spl
    | ~ c0_1(a41) ),
    inference(component_clause,[status(thm)],[f88]) ).

fof(f91,plain,
    ( ~ sQ8_spl
    | ~ sQ5_spl ),
    inference(split_clause,[status(thm)],[f12,f76,f88]) ).

fof(f92,definition,
    ( sQ9_spl
  <=> hskp2 ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f94,plain,
    ( sQ9_spl
    | ~ hskp2 ),
    inference(component_clause,[status(thm)],[f92]) ).

fof(f95,plain,
    ( sQ1_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f13,f92,f60]) ).

fof(f96,definition,
    ( sQ10_spl
  <=> c0_1(a43) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f99,plain,
    ( ~ sQ10_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f14,f92,f96]) ).

fof(f100,definition,
    ( sQ11_spl
  <=> c3_1(a43) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f103,plain,
    ( sQ11_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f15,f92,f100]) ).

fof(f104,definition,
    ( sQ12_spl
  <=> c1_1(a43) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f107,plain,
    ( ~ sQ12_spl
    | ~ sQ9_spl ),
    inference(split_clause,[status(thm)],[f16,f92,f104]) ).

fof(f108,definition,
    ( sQ13_spl
  <=> hskp3 ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f110,plain,
    ( sQ13_spl
    | ~ hskp3 ),
    inference(component_clause,[status(thm)],[f108]) ).

fof(f111,plain,
    ( sQ1_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f17,f108,f60]) ).

fof(f112,definition,
    ( sQ14_spl
  <=> c3_1(a48) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f115,plain,
    ( sQ14_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f18,f108,f112]) ).

fof(f116,definition,
    ( sQ15_spl
  <=> c0_1(a48) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f119,plain,
    ( sQ15_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f19,f108,f116]) ).

fof(f120,definition,
    ( sQ16_spl
  <=> c1_1(a48) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f123,plain,
    ( ~ sQ16_spl
    | ~ sQ13_spl ),
    inference(split_clause,[status(thm)],[f20,f108,f120]) ).

fof(f124,definition,
    ( sQ17_spl
  <=> hskp4 ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f126,plain,
    ( sQ17_spl
    | ~ hskp4 ),
    inference(component_clause,[status(thm)],[f124]) ).

fof(f127,plain,
    ( sQ1_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f21,f124,f60]) ).

fof(f128,definition,
    ( sQ18_spl
  <=> c0_1(a38) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f131,plain,
    ( ~ sQ18_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f22,f124,f128]) ).

fof(f132,definition,
    ( sQ19_spl
  <=> c1_1(a38) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f135,plain,
    ( ~ sQ19_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f23,f124,f132]) ).

fof(f136,definition,
    ( sQ20_spl
  <=> c2_1(a38) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f139,plain,
    ( sQ20_spl
    | ~ sQ17_spl ),
    inference(split_clause,[status(thm)],[f24,f124,f136]) ).

fof(f140,definition,
    ( sQ21_spl
  <=> hskp5 ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f142,plain,
    ( sQ21_spl
    | ~ hskp5 ),
    inference(component_clause,[status(thm)],[f140]) ).

fof(f143,plain,
    ( sQ1_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f25,f140,f60]) ).

fof(f144,definition,
    ( sQ22_spl
  <=> c0_1(a40) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f147,plain,
    ( ~ sQ22_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f26,f140,f144]) ).

fof(f148,definition,
    ( sQ23_spl
  <=> c2_1(a40) ),
    introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).

fof(f151,plain,
    ( ~ sQ23_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f27,f140,f148]) ).

fof(f152,definition,
    ( sQ24_spl
  <=> c1_1(a40) ),
    introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).

fof(f155,plain,
    ( sQ24_spl
    | ~ sQ21_spl ),
    inference(split_clause,[status(thm)],[f28,f140,f152]) ).

fof(f156,definition,
    ( sQ25_spl
  <=> hskp6 ),
    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).

fof(f157,plain,
    ( ~ sQ25_spl
    | hskp6 ),
    inference(component_clause,[status(thm)],[f156]) ).

fof(f159,plain,
    ( sQ1_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f29,f156,f60]) ).

fof(f160,definition,
    ( sQ26_spl
  <=> c3_1(a42) ),
    introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).

fof(f161,plain,
    ( ~ sQ26_spl
    | c3_1(a42) ),
    inference(component_clause,[status(thm)],[f160]) ).

fof(f163,plain,
    ( sQ26_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f30,f156,f160]) ).

fof(f164,definition,
    ( sQ27_spl
  <=> c0_1(a42) ),
    introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).

fof(f166,plain,
    ( sQ27_spl
    | ~ c0_1(a42) ),
    inference(component_clause,[status(thm)],[f164]) ).

fof(f167,plain,
    ( ~ sQ27_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f31,f156,f164]) ).

fof(f168,definition,
    ( sQ28_spl
  <=> c2_1(a42) ),
    introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).

fof(f169,plain,
    ( ~ sQ28_spl
    | c2_1(a42) ),
    inference(component_clause,[status(thm)],[f168]) ).

fof(f171,plain,
    ( sQ28_spl
    | ~ sQ25_spl ),
    inference(split_clause,[status(thm)],[f32,f156,f168]) ).

fof(f172,definition,
    ( sQ29_spl
  <=> hskp7 ),
    introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).

fof(f174,plain,
    ( sQ29_spl
    | ~ hskp7 ),
    inference(component_clause,[status(thm)],[f172]) ).

fof(f175,plain,
    ( sQ1_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f33,f172,f60]) ).

fof(f176,definition,
    ( sQ30_spl
  <=> c1_1(a44) ),
    introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).

fof(f179,plain,
    ( sQ30_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f34,f172,f176]) ).

fof(f180,definition,
    ( sQ31_spl
  <=> c0_1(a44) ),
    introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).

fof(f183,plain,
    ( sQ31_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f35,f172,f180]) ).

fof(f184,definition,
    ( sQ32_spl
  <=> c3_1(a44) ),
    introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).

fof(f187,plain,
    ( sQ32_spl
    | ~ sQ29_spl ),
    inference(split_clause,[status(thm)],[f36,f172,f184]) ).

fof(f188,definition,
    ( sQ33_spl
  <=> hskp8 ),
    introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).

fof(f190,plain,
    ( sQ33_spl
    | ~ hskp8 ),
    inference(component_clause,[status(thm)],[f188]) ).

fof(f191,plain,
    ( sQ1_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f37,f188,f60]) ).

fof(f192,definition,
    ( sQ34_spl
  <=> c3_1(a45) ),
    introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).

fof(f195,plain,
    ( sQ34_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f38,f188,f192]) ).

fof(f196,definition,
    ( sQ35_spl
  <=> c2_1(a45) ),
    introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).

fof(f199,plain,
    ( sQ35_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f39,f188,f196]) ).

fof(f200,definition,
    ( sQ36_spl
  <=> c1_1(a45) ),
    introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).

fof(f203,plain,
    ( sQ36_spl
    | ~ sQ33_spl ),
    inference(split_clause,[status(thm)],[f40,f188,f200]) ).

fof(f204,definition,
    ( sQ37_spl
  <=> hskp9 ),
    introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).

fof(f206,plain,
    ( sQ37_spl
    | ~ hskp9 ),
    inference(component_clause,[status(thm)],[f204]) ).

fof(f207,plain,
    ( sQ1_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f41,f204,f60]) ).

fof(f208,definition,
    ( sQ38_spl
  <=> c0_1(a46) ),
    introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).

fof(f211,plain,
    ( sQ38_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f42,f204,f208]) ).

fof(f212,definition,
    ( sQ39_spl
  <=> c1_1(a46) ),
    introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).

fof(f215,plain,
    ( sQ39_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f43,f204,f212]) ).

fof(f216,definition,
    ( sQ40_spl
  <=> c3_1(a46) ),
    introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).

fof(f219,plain,
    ( sQ40_spl
    | ~ sQ37_spl ),
    inference(split_clause,[status(thm)],[f44,f204,f216]) ).

fof(f220,definition,
    ( sQ41_spl
  <=> hskp10 ),
    introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).

fof(f222,plain,
    ( sQ41_spl
    | ~ hskp10 ),
    inference(component_clause,[status(thm)],[f220]) ).

fof(f223,plain,
    ( sQ1_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f45,f220,f60]) ).

fof(f224,definition,
    ( sQ42_spl
  <=> c3_1(a47) ),
    introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).

fof(f227,plain,
    ( sQ42_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f46,f220,f224]) ).

fof(f228,definition,
    ( sQ43_spl
  <=> c0_1(a47) ),
    introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).

fof(f231,plain,
    ( ~ sQ43_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f47,f220,f228]) ).

fof(f232,definition,
    ( sQ44_spl
  <=> c1_1(a47) ),
    introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).

fof(f235,plain,
    ( sQ44_spl
    | ~ sQ41_spl ),
    inference(split_clause,[status(thm)],[f48,f220,f232]) ).

fof(f236,definition,
    ! [X0] :
      ( sQ45_spl
    <=> ( c0_1(X0)
        | ~ c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).

fof(f239,plain,
    ( sQ45_spl
    | ~ sQ1_spl
    | sQ0_spl
    | sQ17_spl ),
    inference(split_clause,[status(thm)],[f49,f124,f57,f60,f236]) ).

fof(f240,definition,
    ! [X0] :
      ( sQ46_spl
    <=> ( c3_1(X0)
        | c2_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).

fof(f243,plain,
    ( sQ46_spl
    | ~ sQ1_spl
    | sQ5_spl
    | sQ21_spl ),
    inference(split_clause,[status(thm)],[f50,f140,f76,f60,f240]) ).

fof(f244,plain,
    ( sQ29_spl
    | sQ9_spl
    | sQ25_spl ),
    inference(split_clause,[status(thm)],[f51,f156,f92,f172]) ).

fof(f245,definition,
    ! [X0] :
      ( sQ47_spl
    <=> ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).

fof(f246,plain,
    ! [X0] :
      ( ~ sQ47_spl
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(component_clause,[status(thm)],[f245]) ).

fof(f248,definition,
    ! [X1] :
      ( sQ48_spl
    <=> ( c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).

fof(f251,plain,
    ( sQ33_spl
    | sQ48_spl
    | sQ47_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f52,f60,f245,f248,f188]) ).

fof(f252,definition,
    ! [X0] :
      ( sQ49_spl
    <=> ( ~ c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).

fof(f255,definition,
    ! [X1] :
      ( sQ50_spl
    <=> ( c1_1(X1)
        | c0_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).

fof(f258,definition,
    ! [X2] :
      ( sQ51_spl
    <=> ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).

fof(f259,plain,
    ! [X0] :
      ( ~ sQ51_spl
      | ~ c1_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f258]) ).

fof(f261,plain,
    ( sQ51_spl
    | sQ50_spl
    | sQ49_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f53,f60,f252,f255,f258]) ).

fof(f262,definition,
    ! [X0] :
      ( sQ52_spl
    <=> ( c3_1(X0)
        | ~ c1_1(X0)
        | c0_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).

fof(f265,plain,
    ( sQ51_spl
    | sQ37_spl
    | sQ52_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f54,f60,f262,f204,f258]) ).

fof(f266,definition,
    ! [X0] :
      ( sQ53_spl
    <=> ( c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).

fof(f267,plain,
    ! [X0] :
      ( ~ sQ53_spl
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(component_clause,[status(thm)],[f266]) ).

fof(f269,definition,
    ! [X1] :
      ( sQ54_spl
    <=> ( c2_1(X1)
        | ~ c1_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ sQ54_spl
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X0) ),
    inference(component_clause,[status(thm)],[f269]) ).

fof(f272,plain,
    ( sQ54_spl
    | sQ53_spl
    | ~ sQ1_spl
    | sQ41_spl ),
    inference(split_clause,[status(thm)],[f55,f220,f60,f266,f269]) ).

fof(f273,definition,
    ! [X0] :
      ( sQ55_spl
    <=> ( c0_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).

fof(f276,plain,
    ( sQ51_spl
    | sQ13_spl
    | sQ55_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f56,f60,f273,f108,f258]) ).

fof(f277,plain,
    ( ~ sQ51_spl
    | ~ sQ28_spl
    | ~ c1_1(a42)
    | ~ c0_1(a42) ),
    inference(resolution,[status(thm)],[f169,f259]) ).

fof(f278,definition,
    ( sQ56_spl
  <=> c1_1(a42) ),
    introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).

fof(f281,plain,
    ( ~ sQ51_spl
    | ~ sQ28_spl
    | ~ sQ56_spl
    | ~ sQ27_spl ),
    inference(split_clause,[status(thm)],[f277,f164,f278,f168,f258]) ).

fof(f282,plain,
    ( ~ sQ28_spl
    | ~ sQ53_spl
    | c0_1(a42)
    | ~ c3_1(a42) ),
    inference(resolution,[status(thm)],[f267,f169]) ).

fof(f283,plain,
    ( ~ sQ28_spl
    | ~ sQ53_spl
    | sQ27_spl
    | ~ sQ26_spl ),
    inference(split_clause,[status(thm)],[f282,f160,f164,f266,f168]) ).

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
    | ~ sQ17_spl
    | ~ sQ21_spl
    | sQ25_spl
    | sQ26_spl
    | ~ sQ27_spl
    | sQ28_spl
    | ~ sQ29_spl
    | ~ sQ33_spl
    | ~ sQ37_spl
    | ~ sQ41_spl
    | sQ47_spl
    | sQ51_spl
    | ~ sQ53_spl
    | sQ54_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : SYN493+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.06  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43  % Computer : n018.cluster.edu
% 0.18/0.43  % Model    : x86_64 x86_64
% 0.18/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43  % Memory   : 8046.5625MB
% 0.18/0.43  % OS       : Linux 6.8.0-71-generic
% 0.18/0.43  % CPULimit : 300
% 0.18/0.43  % WCLimit  : 300
% 0.18/0.43  % DateTime : Mon Sep 21 11:04:45 UTC 2026
% 0.18/0.43  % CPUTime  : 
% 0.18/0.44  % Drodi V4.1.1
% 0.18/0.45  % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.18/0.45  % SZS output start Saturation for theBenchmark
% See solution above
% 0.18/0.51  % Elapsed time: 0.070319 seconds
% 0.18/0.51  % CPU time: 0.060630 seconds
% 0.18/0.51  % Total memory used: 582.944 KB
% 0.18/0.51  % Net memory used: 582.432 KB
%------------------------------------------------------------------------------