TSTP Solution File: SYN044+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN044+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 16:38:48 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   36 (  14   ~;  18   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel10_3,plain,
    ( ~ p
    | q
    | r ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
    [] ).

cnf(164613912,plain,
    ( ~ p
    | q
    | r ),
    inference(rewrite,[status(thm)],[pel10_3]),
    [] ).

fof(pel10_2,plain,
    ( ( q
      | ~ r )
    & ( p
      | ~ r ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
    [] ).

cnf(164599832,plain,
    ( p
    | ~ r ),
    inference(rewrite,[status(thm)],[pel10_2]),
    [] ).

fof(pel10_1,plain,
    ( ~ q
    | r ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
    [] ).

cnf(164593504,plain,
    ( ~ q
    | r ),
    inference(rewrite,[status(thm)],[pel10_1]),
    [] ).

fof(pel10,plain,
    ( ( q
      | p )
    & ( ~ p
      | p )
    & ( q
      | ~ q )
    & ( ~ p
      | ~ q ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),
    [] ).

cnf(164651984,plain,
    ( q
    | p ),
    inference(rewrite,[status(thm)],[pel10]),
    [] ).

cnf(175032464,plain,
    ( r
    | p ),
    inference(resolution,[status(thm)],[164593504,164651984]),
    [] ).

cnf(175036896,plain,
    p,
    inference(resolution,[status(thm)],[164599832,175032464]),
    [] ).

cnf(175044616,plain,
    ( q
    | r ),
    inference(resolution,[status(thm)],[164613912,175036896]),
    [] ).

cnf(175048960,plain,
    r,
    inference(resolution,[status(thm)],[175044616,164593504]),
    [] ).

cnf(164606128,plain,
    ( q
    | ~ r ),
    inference(rewrite,[status(thm)],[pel10_2]),
    [] ).

cnf(175054216,plain,
    q,
    inference(resolution,[status(thm)],[175048960,164606128]),
    [] ).

cnf(164647328,plain,
    ( ~ p
    | ~ q ),
    inference(rewrite,[status(thm)],[pel10]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[175054216,164647328,175036896]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel10_3,plain,(~p|q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
% 
% cnf(164613912,plain,(~p|q|r),inference(rewrite,[status(thm)],[pel10_3]),[]).
% 
% fof(pel10_2,plain,(((q|~r)&(p|~r))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
% 
% cnf(164599832,plain,(p|~r),inference(rewrite,[status(thm)],[pel10_2]),[]).
% 
% fof(pel10_1,plain,(~q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
% 
% cnf(164593504,plain,(~q|r),inference(rewrite,[status(thm)],[pel10_1]),[]).
% 
% fof(pel10,plain,(((q|p)&(~p|p)&(q|~q)&(~p|~q))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044+1.tptp',unknown),[]).
% 
% cnf(164651984,plain,(q|p),inference(rewrite,[status(thm)],[pel10]),[]).
% 
% cnf(175032464,plain,(r|p),inference(resolution,[status(thm)],[164593504,164651984]),[]).
% 
% cnf(175036896,plain,(p),inference(resolution,[status(thm)],[164599832,175032464]),[]).
% 
% cnf(175044616,plain,(q|r),inference(resolution,[status(thm)],[164613912,175036896]),[]).
% 
% cnf(175048960,plain,(r),inference(resolution,[status(thm)],[175044616,164593504]),[]).
% 
% cnf(164606128,plain,(q|~r),inference(rewrite,[status(thm)],[pel10_2]),[]).
% 
% cnf(175054216,plain,(q),inference(resolution,[status(thm)],[175048960,164606128]),[]).
% 
% cnf(164647328,plain,(~p|~q),inference(rewrite,[status(thm)],[pel10]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[175054216,164647328,175036896]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------