TSTP Solution File: SWV011-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV011-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 16:19:51 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :    9 (   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    :    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 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(ax3_13,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011-1.tptp',unknown),
    [] ).

cnf(156804520,plain,
    a_holds(key(generate_key(an_a_nonce),b)),
    inference(rewrite,[status(thm)],[ax3_13]),
    [] ).

fof(co1_17,plain,
    ! [A] :
      ( ~ a_holds(key(A,b))
      | ~ b_holds(key(A,a)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011-1.tptp',unknown),
    [] ).

cnf(156811072,plain,
    ( ~ a_holds(key(A,b))
    | ~ b_holds(key(A,a)) ),
    inference(rewrite,[status(thm)],[co1_17]),
    [] ).

fof(ax1_11,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011-1.tptp',unknown),
    [] ).

cnf(156799672,plain,
    b_holds(key(generate_key(an_a_nonce),a)),
    inference(rewrite,[status(thm)],[ax1_11]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[156804520,156811072,156799672]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(ax3_13,plain,(a_holds(key(generate_key(an_a_nonce),b))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011-1.tptp',unknown),[]).
% 
% cnf(156804520,plain,(a_holds(key(generate_key(an_a_nonce),b))),inference(rewrite,[status(thm)],[ax3_13]),[]).
% 
% fof(co1_17,plain,(~a_holds(key(A,b))|~b_holds(key(A,a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011-1.tptp',unknown),[]).
% 
% cnf(156811072,plain,(~a_holds(key(A,b))|~b_holds(key(A,a))),inference(rewrite,[status(thm)],[co1_17]),[]).
% 
% fof(ax1_11,plain,(b_holds(key(generate_key(an_a_nonce),a))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SWV/SWV011-1.tptp',unknown),[]).
% 
% cnf(156799672,plain,(b_holds(key(generate_key(an_a_nonce),a))),inference(rewrite,[status(thm)],[ax1_11]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[156804520,156811072,156799672]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------