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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : GEO038-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 12:23:51 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.41s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-4 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X,Y,W,V] : between(X,Y,extension(X,Y,W,V)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,hypothesis,
    y = extension(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ between(u,v,y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f26,plain,
    ! [X0,X1,X2,X3] : between(X0,X1,extension(X0,X1,X2,X3)),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f43,plain,
    y = extension(u,v,w,x),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f44,plain,
    ~ between(u,v,y),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f55,plain,
    between(u,v,y),
    inference(paramodulation,[status(thm)],[f43,f26]) ).

fof(f56,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f55,f44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO038-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37  % Computer : n020.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 20 08:34:17 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.39  % Drodi V4.1.1
% 0.11/0.41  % Refutation found
% 0.11/0.41  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.41  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.43  % Elapsed time: 0.049653 seconds
% 0.11/0.43  % CPU time: 0.136413 seconds
% 0.11/0.43  % Total memory used: 82.721 MB
% 0.11/0.43  % Net memory used: 82.415 MB
%------------------------------------------------------------------------------