TSTP Solution File: LCL169-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL169-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n023.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 20:26:31 EDT 2024

% Result   : Unsatisfiable 0.09s 0.31s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A] : axiom(or(not(or(A,A)),A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] :
      ( theorem(X)
      | ~ axiom(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ~ theorem(or(not(or(not(p),not(p))),not(p))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f15,plain,
    ! [X0] :
      ( theorem(X0)
      | ~ axiom(X0) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f20,plain,
    ~ theorem(or(not(or(not(p),not(p))),not(p))),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f22,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[status(thm)],[f10,f15]) ).

fof(f23,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f20,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : LCL169-1 : TPTP v8.1.2. Released v1.1.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n023.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 20:34:10 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.31  % Drodi V3.6.0
% 0.09/0.31  % Refutation found
% 0.09/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.33  % Elapsed time: 0.014694 seconds
% 0.15/0.33  % CPU time: 0.009591 seconds
% 0.15/0.33  % Total memory used: 1.838 MB
% 0.15/0.33  % Net memory used: 1.808 MB
%------------------------------------------------------------------------------