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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : KRS066+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 : n001.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 0.16s 0.47s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   18 (   8   ~;   5   |;   4   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X] :
      ( cowlThing(X)
    <=> cowlNothing(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f5,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f6,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f11,plain,
    ! [X] :
      ( ( ~ cowlNothing(X)
        | cowlThing(X) )
      & ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(NNF_transformation,[status(thm)],[f3]) ).

fof(f12,plain,
    ( ! [X] :
        ( ~ cowlNothing(X)
        | cowlThing(X) )
    & ! [X] :
        ( cowlNothing(X)
        | ~ cowlThing(X) ) ),
    inference(miniscoping,[status(thm)],[f11]) ).

fof(f13,plain,
    ! [X0] :
      ( cowlNothing(X0)
      | ~ cowlThing(X0) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f16,plain,
    ! [X0] : cowlNothing(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f13,f5]) ).

fof(f17,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f6,f16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : KRS066+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44  % Computer : n001.cluster.edu
% 0.16/0.44  % Model    : x86_64 x86_64
% 0.16/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44  % Memory   : 8046.5625MB
% 0.16/0.44  % OS       : Linux 6.8.0-71-generic
% 0.16/0.45  % CPULimit : 300
% 0.16/0.45  % WCLimit  : 300
% 0.16/0.45  % DateTime : Sun Sep 20 22:57:58 UTC 2026
% 0.16/0.45  % CPUTime  : 
% 0.16/0.46  % Drodi V4.1.1
% 0.16/0.47  % Refutation found
% 0.16/0.47  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.53  % Elapsed time: 0.064922 seconds
% 0.23/0.53  % CPU time: 0.014941 seconds
% 0.23/0.53  % Total memory used: 47.728 KB
% 0.23/0.53  % Net memory used: 46.976 KB
%------------------------------------------------------------------------------