%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO019-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 : Wed May 31 12:07:27 EDT 2023

% Result   : Unsatisfiable 0.14s 0.53s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,axiom,
    ! [U,V,W,X] :
      ( ~ equidistant(U,V,W,X)
      | equidistant(W,X,U,V) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [U,V,W,X] :
      ( ~ equidistant(U,V,W,X)
      | equidistant(V,U,W,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f22,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f23,negated_conjecture,
    ~ equidistant(w,x,v,u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,X0,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f49,plain,
    equidistant(u,v,w,x),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f50,plain,
    ~ equidistant(w,x,v,u),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f53,plain,
    ~ equidistant(v,u,w,x),
    inference(resolution,[status(thm)],[f47,f50]) ).

fof(f59,plain,
    ~ equidistant(u,v,w,x),
    inference(resolution,[status(thm)],[f48,f53]) ).

fof(f60,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f59,f49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem  : GEO019-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30  % Computer : n010.cluster.edu
% 0.08/0.30  % Model    : x86_64 x86_64
% 0.08/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30  % Memory   : 8042.1875MB
% 0.08/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30  % CPULimit : 300
% 0.08/0.30  % WCLimit  : 300
% 0.08/0.30  % DateTime : Tue May 30 11:51:37 EDT 2023
% 0.08/0.30  % CPUTime  : 
% 0.08/0.30  % Drodi V3.5.1
% 0.14/0.53  % Refutation found
% 0.14/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.53  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.53  % Elapsed time: 0.011743 seconds
% 0.14/0.53  % CPU time: 0.010647 seconds
% 0.14/0.53  % Memory used: 2.891 MB
%------------------------------------------------------------------------------