TSTP Solution File: SYN008-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN008-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 16:37:25 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   10 (   8 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   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_6,plain,
    ( ~ r
    | p
    | q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
    [] ).

fof(clause_3,plain,
    r,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
    [] ).

cnf(146498744,plain,
    r,
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(146518200,plain,
    ( p
    | q ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_6,146498744]),
    [] ).

fof(clause_1,plain,
    ~ p,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
    [] ).

cnf(146489064,plain,
    ~ p,
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

cnf(167471080,plain,
    q,
    inference(resolution,[status(thm)],[146518200,146489064]),
    [] ).

fof(clause_2,plain,
    ~ q,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),
    [] ).

cnf(146493952,plain,
    ~ q,
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[167471080,146493952]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_6,plain,(~r|p|q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
% 
% fof(clause_3,plain,(r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
% 
% cnf(146498744,plain,(r),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(146518200,plain,(p|q),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause_6,146498744]),[]).
% 
% fof(clause_1,plain,(~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
% 
% cnf(146489064,plain,(~p),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% cnf(167471080,plain,(q),inference(resolution,[status(thm)],[146518200,146489064]),[]).
% 
% fof(clause_2,plain,(~q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN008-1.tptp',unknown),[]).
% 
% cnf(146493952,plain,(~q),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167471080,146493952]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------