%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO024-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 20:16:51 EDT 2024

% Result   : Unsatisfiable 0.14s 0.31s
% Output   : CNFRefutation 0.14s
% 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 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-4 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    ! [V,U,W] : V = extension(U,V,W,W),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f36,negated_conjecture,
    ~ equidistant(u,u,v,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,plain,
    ! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f70,plain,
    ! [X0,X1,X2] : X0 = extension(X1,X0,X2,X2),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f78,plain,
    ~ equidistant(u,u,v,v),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f108,plain,
    ! [X0,X1] : equidistant(X0,X0,X1,X1),
    inference(paramodulation,[status(thm)],[f70,f43]) ).

fof(f110,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f78,f108]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GEO024-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n008.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue Apr 30 01:40:12 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.14/0.31  % Drodi V3.6.0
% 0.14/0.31  % Refutation found
% 0.14/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.32  % Elapsed time: 0.015791 seconds
% 0.14/0.32  % CPU time: 0.024134 seconds
% 0.14/0.32  % Total memory used: 12.832 MB
% 0.14/0.32  % Net memory used: 12.763 MB
%------------------------------------------------------------------------------