TSTP Solution File: SYN325-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN325-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:51:52 EDT 2024

% Result   : Unsatisfiable 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    9 (   4   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 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; 1-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
    ! [X] :
      ( f(X,X)
      | g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    ! [X] :
      ( ~ f(y(X),y(X))
      | g(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ! [X] : ~ g(y(X)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0] :
      ( f(X0,X0)
      | g(X0) ),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0] :
      ( ~ f(y(X0),y(X0))
      | g(X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    ! [X0] : ~ g(y(X0)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    ! [X0] :
      ( g(X0)
      | g(y(X0)) ),
    inference(resolution,[status(thm)],[f9,f7]) ).

fof(f12,plain,
    ! [X0] : g(X0),
    inference(forward_subsumption_resolution,[status(thm)],[f11,f10]) ).

fof(f13,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f10,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : SYN325-1 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.08  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n028.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Mon Apr 29 22:23:29 EDT 2024
% 0.07/0.27  % CPUTime  : 
% 0.07/0.27  % Drodi V3.6.0
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28  % Elapsed time: 0.010093 seconds
% 0.07/0.28  % CPU time: 0.018648 seconds
% 0.07/0.28  % Total memory used: 1.880 MB
% 0.07/0.28  % Net memory used: 1.723 MB
%------------------------------------------------------------------------------