TSTP Solution File: SYN045-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN045-1 : TPTP v3.4.2. Released v1.0.0.
% 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 16:38:53 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 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(clause_2,plain,
    ( p
    | r ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),
    [] ).

cnf(164307880,plain,
    ( p
    | r ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

fof(clause_3,plain,
    ~ p,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),
    [] ).

cnf(164312480,plain,
    ~ p,
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(179936720,plain,
    r,
    inference(resolution,[status(thm)],[164307880,164312480]),
    [] ).

fof(clause_4,plain,
    ( ~ q
    | ~ r ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),
    [] ).

cnf(164318704,plain,
    ( ~ q
    | ~ r ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_1,plain,
    ( p
    | q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),
    [] ).

cnf(164303232,plain,
    ( p
    | q ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(179931424,plain,
    q,
    inference(resolution,[status(thm)],[164303232,164312480]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[179936720,164318704,179931424]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_2,plain,(p|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),[]).
% 
% cnf(164307880,plain,(p|r),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% fof(clause_3,plain,(~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),[]).
% 
% cnf(164312480,plain,(~p),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(179936720,plain,(r),inference(resolution,[status(thm)],[164307880,164312480]),[]).
% 
% fof(clause_4,plain,(~q|~r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),[]).
% 
% cnf(164318704,plain,(~q|~r),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_1,plain,(p|q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN045-1.tptp',unknown),[]).
% 
% cnf(164303232,plain,(p|q),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(179931424,plain,(q),inference(resolution,[status(thm)],[164303232,164312480]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[179936720,164318704,179931424]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------