%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO021-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 20:16:50 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   9   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 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/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f23,negated_conjecture,
    ~ equidistant(x,w,v,u),
    file('/export/starexec/sandbox/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(x,w,v,u),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f60,plain,
    ~ equidistant(w,x,v,u),
    inference(resolution,[status(thm)],[f48,f50]) ).

fof(f67,plain,
    ~ equidistant(v,u,w,x),
    inference(resolution,[status(thm)],[f60,f47]) ).

fof(f72,plain,
    ~ equidistant(u,v,w,x),
    inference(resolution,[status(thm)],[f67,f48]) ).

fof(f73,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f72,f49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : GEO021-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Apr 30 01:25:50 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.019016 seconds
% 0.14/0.37  % CPU time: 0.027977 seconds
% 0.14/0.37  % Total memory used: 11.073 MB
% 0.14/0.37  % Net memory used: 10.931 MB
%------------------------------------------------------------------------------