%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:07:28 EDT 2023

% Result   : Unsatisfiable 0.15s 0.54s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  19   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   46 (;  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y,Z,V,V2,W] :
      ( ~ equidistant(X,Y,Z,V)
      | ~ equidistant(X,Y,V2,W)
      | equidistant(Z,V,V2,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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(f22,axiom,
    ! [U,V,W,X] :
      ( ~ equidistant(U,V,W,X)
      | equidistant(U,V,X,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f23,axiom,
    ! [U,V,W,X] :
      ( ~ equidistant(U,V,W,X)
      | equidistant(V,U,X,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,hypothesis,
    equidistant(u,v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,hypothesis,
    equidistant(w,x,y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,negated_conjecture,
    ~ equidistant(u,v,y,z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,plain,
    ! [Z,V,V2,W] :
      ( ! [X,Y] :
          ( ~ equidistant(X,Y,Z,V)
          | ~ equidistant(X,Y,V2,W) )
      | equidistant(Z,V,V2,W) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f32,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ equidistant(X0,X1,X2,X3)
      | ~ equidistant(X0,X1,X4,X5)
      | equidistant(X2,X3,X4,X5) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f53,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f55,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X0,X1,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f56,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X1,X0,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f23]) ).

fof(f60,plain,
    equidistant(u,v,w,x),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f61,plain,
    equidistant(w,x,y,z),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f62,plain,
    ~ equidistant(u,v,y,z),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,u,v)
      | ~ equidistant(X0,X1,y,z) ),
    inference(resolution,[status(thm)],[f32,f62]) ).

fof(f90,plain,
    equidistant(w,x,z,y),
    inference(resolution,[status(thm)],[f55,f61]) ).

fof(f91,plain,
    equidistant(u,v,x,w),
    inference(resolution,[status(thm)],[f55,f60]) ).

fof(f107,plain,
    equidistant(x,w,y,z),
    inference(resolution,[status(thm)],[f90,f56]) ).

fof(f126,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,y,z)
      | ~ equidistant(u,v,X0,X1) ),
    inference(resolution,[status(thm)],[f63,f53]) ).

fof(f181,plain,
    ~ equidistant(x,w,y,z),
    inference(resolution,[status(thm)],[f126,f91]) ).

fof(f182,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f181,f107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GEO022-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n015.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 12:17:04 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.15/0.31  % Drodi V3.5.1
% 0.15/0.54  % Refutation found
% 0.15/0.54  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.013489 seconds
% 0.15/0.54  % CPU time: 0.016838 seconds
% 0.15/0.54  % Memory used: 2.980 MB
%------------------------------------------------------------------------------