TSTP Solution File: SYN011-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN011-1 : TPTP v3.4.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:37:48 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   24 (   7 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   39 (  18   ~;  21   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    8 (   7 usr;   8 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_5,plain,
    ( ~ l
    | ~ p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165455016,plain,
    ( ~ l
    | ~ p ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

fof(clause_4,plain,
    ( l
    | ~ q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165448544,plain,
    ( l
    | ~ q ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_2,plain,
    ( m
    | q
    | n ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165437128,plain,
    ( m
    | q
    | n ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

fof(clause_1,plain,
    ( ~ n
    | ~ t ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165428848,plain,
    ( ~ n
    | ~ t ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_8,plain,
    t,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165478440,plain,
    t,
    inference(rewrite,[status(thm)],[clause_8]),
    [] ).

cnf(191681576,plain,
    ~ n,
    inference(resolution,[status(thm)],[165428848,165478440]),
    [] ).

cnf(191686168,plain,
    ( m
    | q ),
    inference(resolution,[status(thm)],[165437128,191681576]),
    [] ).

fof(clause_3,plain,
    ( l
    | ~ m ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165443648,plain,
    ( l
    | ~ m ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(191702352,plain,
    ( q
    | l ),
    inference(resolution,[status(thm)],[191686168,165443648]),
    [] ).

cnf(191712224,plain,
    l,
    inference(resolution,[status(thm)],[165448544,191702352]),
    [] ).

cnf(191718488,plain,
    ~ p,
    inference(resolution,[status(thm)],[165455016,191712224]),
    [] ).

fof(clause_6,plain,
    ( r
    | p
    | n ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165467256,plain,
    ( r
    | p
    | n ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

cnf(191690848,plain,
    ( r
    | p ),
    inference(resolution,[status(thm)],[165467256,191681576]),
    [] ).

cnf(191723104,plain,
    r,
    inference(resolution,[status(thm)],[191718488,191690848]),
    [] ).

fof(clause_7,plain,
    ( ~ r
    | ~ l ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),
    [] ).

cnf(165473664,plain,
    ( ~ r
    | ~ l ),
    inference(rewrite,[status(thm)],[clause_7]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[191723104,165473664,191712224]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_5,plain,(~l|~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165455016,plain,(~l|~p),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% fof(clause_4,plain,(l|~q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165448544,plain,(l|~q),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_2,plain,(m|q|n),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165437128,plain,(m|q|n),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% fof(clause_1,plain,(~n|~t),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165428848,plain,(~n|~t),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_8,plain,(t),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165478440,plain,(t),inference(rewrite,[status(thm)],[clause_8]),[]).
% 
% cnf(191681576,plain,(~n),inference(resolution,[status(thm)],[165428848,165478440]),[]).
% 
% cnf(191686168,plain,(m|q),inference(resolution,[status(thm)],[165437128,191681576]),[]).
% 
% fof(clause_3,plain,(l|~m),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165443648,plain,(l|~m),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(191702352,plain,(q|l),inference(resolution,[status(thm)],[191686168,165443648]),[]).
% 
% cnf(191712224,plain,(l),inference(resolution,[status(thm)],[165448544,191702352]),[]).
% 
% cnf(191718488,plain,(~p),inference(resolution,[status(thm)],[165455016,191712224]),[]).
% 
% fof(clause_6,plain,(r|p|n),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165467256,plain,(r|p|n),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% cnf(191690848,plain,(r|p),inference(resolution,[status(thm)],[165467256,191681576]),[]).
% 
% cnf(191723104,plain,(r),inference(resolution,[status(thm)],[191718488,191690848]),[]).
% 
% fof(clause_7,plain,(~r|~l),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN011-1.tptp',unknown),[]).
% 
% cnf(165473664,plain,(~r|~l),inference(rewrite,[status(thm)],[clause_7]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[191723104,165473664,191712224]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------