%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GEO014-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 0.10s 0.34s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   28 (  28   !;   0   ?)

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

fof(f19,negated_conjecture,
    ~ equidistant(u,v,u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,plain,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f21,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(f22,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)],[f21]) ).

fof(f42,plain,
    ~ equidistant(u,v,u,v),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f43,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    inference(resolution,[status(thm)],[f22,f20]) ).

fof(f44,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    inference(resolution,[status(thm)],[f43,f20]) ).

fof(f45,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f42,f44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : GEO014-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32  % Computer : n013.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Apr 30 01:30:34 EDT 2024
% 0.10/0.33  % CPUTime  : 
% 0.10/0.34  % Drodi V3.6.0
% 0.10/0.34  % Refutation found
% 0.10/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.35  % Elapsed time: 0.019489 seconds
% 0.10/0.35  % CPU time: 0.016713 seconds
% 0.10/0.35  % Total memory used: 6.309 MB
% 0.10/0.35  % Net memory used: 6.223 MB
%------------------------------------------------------------------------------