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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : KRS063+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n007.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 12:59:36 PM UTC 2026

% Result   : Unsatisfiable 0.07s 0.37s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   51 (  21   ~;  17   |;  11   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   30 (  27   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X] :
      ( cEuroMP(X)
    <=> ? [Y] :
          ( cowlThing(Y)
          & risEuroMPFrom(X,Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X,Y] :
      ( risEuroMPFrom(X,Y)
    <=> rhasEuroMP(Y,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ~ cEuroMP(iKinnock),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f64,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f13]) ).

fof(f65,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f64]) ).

fof(f80,plain,
    ! [X] :
      ( ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(X,Y) )
        | cEuroMP(X) )
      & ( ? [Y] :
            ( cowlThing(Y)
            & risEuroMPFrom(X,Y) )
        | ~ cEuroMP(X) ) ),
    inference(NNF_transformation,[status(thm)],[f16]) ).

fof(f81,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(X,Y) )
        | cEuroMP(X) )
    & ! [X] :
        ( ? [Y] :
            ( cowlThing(Y)
            & risEuroMPFrom(X,Y) )
        | ~ cEuroMP(X) ) ),
    inference(miniscoping,[status(thm)],[f80]) ).

fof(f82,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ cowlThing(Y)
            | ~ risEuroMPFrom(X,Y) )
        | cEuroMP(X) )
    & ! [X] :
        ( ( cowlThing(sK0_skl(X))
          & risEuroMPFrom(X,sK0_skl(X)) )
        | ~ cEuroMP(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f81]) ).

fof(f85,plain,
    ! [X0,X1] :
      ( ~ cowlThing(X1)
      | ~ risEuroMPFrom(X0,X1)
      | cEuroMP(X0) ),
    inference(cnf_transformation,[status(thm)],[f82]) ).

fof(f89,plain,
    ! [X,Y] :
      ( ( ~ rhasEuroMP(Y,X)
        | risEuroMPFrom(X,Y) )
      & ( rhasEuroMP(Y,X)
        | ~ risEuroMPFrom(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f18]) ).

fof(f90,plain,
    ( ! [X,Y] :
        ( ~ rhasEuroMP(Y,X)
        | risEuroMPFrom(X,Y) )
    & ! [X,Y] :
        ( rhasEuroMP(Y,X)
        | ~ risEuroMPFrom(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f89]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ rhasEuroMP(X1,X0)
      | risEuroMPFrom(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f90]) ).

fof(f97,plain,
    ~ cEuroMP(iKinnock),
    inference(cnf_transformation,[status(thm)],[f23]) ).

fof(f101,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f108,plain,
    ! [X0,X1] :
      ( ~ risEuroMPFrom(X0,X1)
      | cEuroMP(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f85,f65]) ).

fof(f109,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(resolution,[status(thm)],[f101,f92]) ).

fof(f112,plain,
    cEuroMP(iKinnock),
    inference(resolution,[status(thm)],[f109,f108]) ).

fof(f113,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f112,f97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS063+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35  % Computer : n007.cluster.edu
% 0.07/0.35  % Model    : x86_64 x86_64
% 0.07/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35  % Memory   : 8046.5625MB
% 0.07/0.35  % OS       : Linux 6.8.0-71-generic
% 0.07/0.35  % CPULimit : 300
% 0.07/0.35  % WCLimit  : 300
% 0.07/0.35  % DateTime : Sun Sep 20 22:50:21 UTC 2026
% 0.07/0.35  % CPUTime  : 
% 0.07/0.36  % Drodi V4.1.1
% 0.07/0.37  % Refutation found
% 0.07/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.39  % Elapsed time: 0.037009 seconds
% 0.07/0.39  % CPU time: 0.075979 seconds
% 0.07/0.39  % Total memory used: 2.333 MB
% 0.07/0.39  % Net memory used: 2.246 MB
%------------------------------------------------------------------------------