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 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 16:38:48 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (   4 unt;   0 def)
%            Number of atoms       :   34 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   28 (  12   ~;  16   |;   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_4,plain,
    ( ~ p
    | q
    | r ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),
    [] ).

cnf(149950864,plain,
    ( ~ p
    | q
    | r ),
    inference(rewrite,[status(thm)],[clause_4]),
    [] ).

fof(clause_2,plain,
    ( ~ r
    | p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),
    [] ).

cnf(149938424,plain,
    ( ~ r
    | p ),
    inference(rewrite,[status(thm)],[clause_2]),
    [] ).

fof(clause_1,plain,
    ( ~ q
    | r ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),
    [] ).

cnf(149932096,plain,
    ( ~ q
    | r ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_6,plain,
    ( p
    | q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),
    [] ).

cnf(149961656,plain,
    ( p
    | q ),
    inference(rewrite,[status(thm)],[clause_6]),
    [] ).

cnf(160342144,plain,
    ( r
    | p ),
    inference(resolution,[status(thm)],[149932096,149961656]),
    [] ).

cnf(160346576,plain,
    p,
    inference(resolution,[status(thm)],[149938424,160342144]),
    [] ).

cnf(160355888,plain,
    ( q
    | r ),
    inference(resolution,[status(thm)],[149950864,160346576]),
    [] ).

cnf(160360280,plain,
    r,
    inference(resolution,[status(thm)],[160355888,149932096]),
    [] ).

fof(clause_3,plain,
    ( ~ r
    | q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),
    [] ).

cnf(149943080,plain,
    ( ~ r
    | q ),
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(160365536,plain,
    q,
    inference(resolution,[status(thm)],[160360280,149943080]),
    [] ).

fof(clause_5,plain,
    ( ~ p
    | ~ q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),
    [] ).

cnf(149955424,plain,
    ( ~ p
    | ~ q ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[160365536,149955424,160346576]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_4,plain,(~p|q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),[]).
% 
% cnf(149950864,plain,(~p|q|r),inference(rewrite,[status(thm)],[clause_4]),[]).
% 
% fof(clause_2,plain,(~r|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),[]).
% 
% cnf(149938424,plain,(~r|p),inference(rewrite,[status(thm)],[clause_2]),[]).
% 
% fof(clause_1,plain,(~q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),[]).
% 
% cnf(149932096,plain,(~q|r),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_6,plain,(p|q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),[]).
% 
% cnf(149961656,plain,(p|q),inference(rewrite,[status(thm)],[clause_6]),[]).
% 
% cnf(160342144,plain,(r|p),inference(resolution,[status(thm)],[149932096,149961656]),[]).
% 
% cnf(160346576,plain,(p),inference(resolution,[status(thm)],[149938424,160342144]),[]).
% 
% cnf(160355888,plain,(q|r),inference(resolution,[status(thm)],[149950864,160346576]),[]).
% 
% cnf(160360280,plain,(r),inference(resolution,[status(thm)],[160355888,149932096]),[]).
% 
% fof(clause_3,plain,(~r|q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),[]).
% 
% cnf(149943080,plain,(~r|q),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(160365536,plain,(q),inference(resolution,[status(thm)],[160360280,149943080]),[]).
% 
% fof(clause_5,plain,(~p|~q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN044-1.tptp',unknown),[]).
% 
% cnf(149955424,plain,(~p|~q),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[160365536,149955424,160346576]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------