%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO015-2 : 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 : Tue Apr 30 20:16:48 EDT 2024

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  12   ~;   8   |;   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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] : equidistant(X,Y,Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f20,negated_conjecture,
    ~ equidistant(w,x,u,v),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f22,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(f23,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)],[f22]) ).

fof(f43,plain,
    equidistant(u,v,w,x),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f44,plain,
    ~ equidistant(w,x,u,v),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f47,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    inference(resolution,[status(thm)],[f23,f21]) ).

fof(f48,plain,
    ! [X0,X1] :
      ( ~ equidistant(X0,X1,w,x)
      | ~ equidistant(X0,X1,u,v) ),
    inference(resolution,[status(thm)],[f23,f44]) ).

fof(f56,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    inference(resolution,[status(thm)],[f47,f21]) ).

fof(f57,plain,
    ~ equidistant(u,v,w,x),
    inference(resolution,[status(thm)],[f56,f48]) ).

fof(f58,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f57,f43]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO015-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Apr 30 01:15:05 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.12/0.36  % Refutation found
% 0.12/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.38  % Elapsed time: 0.018939 seconds
% 0.19/0.38  % CPU time: 0.023941 seconds
% 0.19/0.38  % Total memory used: 11.055 MB
% 0.19/0.38  % Net memory used: 10.905 MB
%------------------------------------------------------------------------------