%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GEO058-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 12:07:37 EDT 2023

% Result   : Unsatisfiable 0.15s 0.33s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   22 (  14 unt;   0 def)
%            Number of atoms       :   33 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  13   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-4 aty)
%            Number of variables   :   52 (;  52   !;   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(f3,axiom,
    ! [X,Y,Z] :
      ( ~ equidistant(X,Y,Z,Z)
      | X = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [Y,X,W,V] : equidistant(Y,extension(X,Y,W,V),W,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [U,V] : reflection(U,V) = extension(U,V,U,V),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,hypothesis,
    v = reflection(u,v),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,negated_conjecture,
    u != v,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f22,plain,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f23,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(f24,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)],[f23]) ).

fof(f25,plain,
    ! [X,Y] :
      ( ! [Z] : ~ equidistant(X,Y,Z,Z)
      | X = Y ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f26,plain,
    ! [X0,X1,X2] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f28,plain,
    ! [X0,X1,X2,X3] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f44,plain,
    ! [X0,X1] : reflection(X0,X1) = extension(X0,X1,X0,X1),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f45,plain,
    v = reflection(u,v),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f46,plain,
    u != v,
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f48,plain,
    ! [X0,X1,X2,X3] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    inference(resolution,[status(thm)],[f24,f22]) ).

fof(f55,plain,
    ! [X0,X1] : equidistant(X0,reflection(X1,X0),X1,X0),
    inference(paramodulation,[status(thm)],[f44,f28]) ).

fof(f67,plain,
    equidistant(v,v,u,v),
    inference(paramodulation,[status(thm)],[f45,f55]) ).

fof(f71,plain,
    ! [X0,X1,X2] :
      ( ~ equidistant(X0,X0,X1,X2)
      | X1 = X2 ),
    inference(resolution,[status(thm)],[f48,f26]) ).

fof(f72,plain,
    u = v,
    inference(resolution,[status(thm)],[f71,f67]) ).

fof(f73,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f72,f46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem  : GEO058-2 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n029.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue May 30 12:18:22 EDT 2023
% 0.15/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.33  % Refutation found
% 0.15/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54  % Elapsed time: 0.013462 seconds
% 0.15/0.54  % CPU time: 0.012916 seconds
% 0.15/0.54  % Memory used: 3.636 MB
%------------------------------------------------------------------------------