TSTP Solution File: SYN028-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN028-1 : 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 16:38:00 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   7 unt;   0 def)
%            Number of atoms       :   28 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  12   ~;  11   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    6 (   5 usr;   6 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(clause4,plain,
    ( ~ s
    | ~ r
    | t ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
    [] ).

fof(clause3,plain,
    ( ~ r
    | s ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
    [] ).

cnf(155480240,plain,
    ( ~ r
    | s ),
    inference(rewrite,[status(thm)],[clause3]),
    [] ).

cnf(155485072,plain,
    ( ~ r
    | t ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause4,155480240]),
    [] ).

fof(clause2,plain,
    ( ~ q
    | r ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
    [] ).

cnf(155473800,plain,
    ( ~ q
    | r ),
    inference(rewrite,[status(thm)],[clause2]),
    [] ).

fof(clause1,plain,
    ( q
    | p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
    [] ).

cnf(155467376,plain,
    ( q
    | p ),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

fof(prove_something,plain,
    ~ p,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
    [] ).

cnf(155495984,plain,
    ~ p,
    inference(rewrite,[status(thm)],[prove_something]),
    [] ).

cnf(162086848,plain,
    q,
    inference(resolution,[status(thm)],[155467376,155495984]),
    [] ).

cnf(163286224,plain,
    r,
    inference(resolution,[status(thm)],[155473800,162086848]),
    [] ).

cnf(163296896,plain,
    t,
    inference(resolution,[status(thm)],[155485072,163286224]),
    [] ).

fof(clause5,plain,
    ( ~ t
    | p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),
    [] ).

cnf(155491304,plain,
    ( ~ t
    | p ),
    inference(rewrite,[status(thm)],[clause5]),
    [] ).

cnf(163280888,plain,
    ~ t,
    inference(resolution,[status(thm)],[155491304,155495984]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[163296896,163280888]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause4,plain,(~s|~r|t),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
% 
% fof(clause3,plain,(~r|s),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
% 
% cnf(155480240,plain,(~r|s),inference(rewrite,[status(thm)],[clause3]),[]).
% 
% cnf(155485072,plain,(~r|t),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause4,155480240]),[]).
% 
% fof(clause2,plain,(~q|r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
% 
% cnf(155473800,plain,(~q|r),inference(rewrite,[status(thm)],[clause2]),[]).
% 
% fof(clause1,plain,(q|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
% 
% cnf(155467376,plain,(q|p),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% fof(prove_something,plain,(~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
% 
% cnf(155495984,plain,(~p),inference(rewrite,[status(thm)],[prove_something]),[]).
% 
% cnf(162086848,plain,(q),inference(resolution,[status(thm)],[155467376,155495984]),[]).
% 
% cnf(163286224,plain,(r),inference(resolution,[status(thm)],[155473800,162086848]),[]).
% 
% cnf(163296896,plain,(t),inference(resolution,[status(thm)],[155485072,163286224]),[]).
% 
% fof(clause5,plain,(~t|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN028-1.tptp',unknown),[]).
% 
% cnf(155491304,plain,(~t|p),inference(rewrite,[status(thm)],[clause5]),[]).
% 
% cnf(163280888,plain,(~t),inference(resolution,[status(thm)],[155491304,155495984]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[163296896,163280888]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------