TSTP Solution File: SWV011-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV011-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:40:27 EDT 2023

% Result   : Unsatisfiable 0.15s 0.55s
% Output   : CNFRefutation 0.15s
% 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 :    7 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    2 (;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    b_holds(key(generate_key(an_a_nonce),a)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    a_holds(key(generate_key(an_a_nonce),b)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    ! [A] :
      ( ~ a_holds(key(A,b))
      | ~ b_holds(key(A,a)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ a_holds(key(X0,b))
      | ~ b_holds(key(X0,a)) ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ~ b_holds(key(generate_key(an_a_nonce),a)),
    inference(resolution,[status(thm)],[f5,f6]) ).

fof(f8,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f7,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SWV011-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n017.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 11:10:10 EDT 2023
% 0.09/0.31  % CPUTime  : 
% 0.15/0.32  % Drodi V3.5.1
% 0.15/0.55  % Refutation found
% 0.15/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55  % Elapsed time: 0.019848 seconds
% 0.15/0.55  % CPU time: 0.010246 seconds
% 0.15/0.55  % Memory used: 1.763 MB
%------------------------------------------------------------------------------