TSTP Solution File: SYN333-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN333-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:46:32 EDT 2023

% Result   : Unsatisfiable 0.06s 0.26s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   26 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   33 (  19   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 2-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

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

fof(f2,negated_conjecture,
    ! [Y,X] :
      ( ~ f(Y,z(X,Y))
      | ~ f(z(X,Y),z(X,Y))
      | g(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [Y,X] :
      ( ~ f(Y,z(X,Y))
      | ~ f(z(X,Y),z(X,Y))
      | ~ g(X,z(X,Y))
      | ~ g(z(X,Y),z(X,Y)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1] : f(X0,X1),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ~ f(X0,z(X1,X0))
      | ~ f(z(X1,X0),z(X1,X0))
      | g(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ! [X0,X1] :
      ( ~ f(X0,z(X1,X0))
      | ~ f(z(X1,X0),z(X1,X0))
      | ~ g(X1,z(X1,X0))
      | ~ g(z(X1,X0),z(X1,X0)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),z(X0,X1))
      | g(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f5,f4]) ).

fof(f8,plain,
    ! [X0,X1] : g(X0,X1),
    inference(resolution,[status(thm)],[f7,f4]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),z(X0,X1))
      | ~ g(X0,z(X0,X1))
      | ~ g(z(X0,X1),z(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f6,f4]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ f(z(X0,X1),z(X0,X1))
      | ~ g(X0,z(X0,X1)) ),
    inference(resolution,[status(thm)],[f9,f8]) ).

fof(f11,plain,
    ! [X0,X1] : ~ g(X0,z(X0,X1)),
    inference(forward_subsumption_resolution,[status(thm)],[f10,f4]) ).

fof(f12,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f11,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN333-1 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n001.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:59:15 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.26  % Refutation found
% 0.06/0.26  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.27  % Elapsed time: 0.014721 seconds
% 0.06/0.27  % CPU time: 0.016481 seconds
% 0.06/0.27  % Memory used: 6.108 MB
%------------------------------------------------------------------------------