TSTP Solution File: SYN029-1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN029-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art05.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 16:38:02 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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(clause3,plain,
    ( ~ r
    | ~ q
    | p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),
    [] ).

fof(clause1,plain,
    ( q
    | p ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),
    [] ).

cnf(143048752,plain,
    ( q
    | p ),
    inference(rewrite,[status(thm)],[clause1]),
    [] ).

cnf(143058912,plain,
    ( ~ r
    | p ),
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause3,143048752]),
    [] ).

fof(clause4,plain,
    r,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),
    [] ).

cnf(143063512,plain,
    r,
    inference(rewrite,[status(thm)],[clause4]),
    [] ).

cnf(150829840,plain,
    p,
    inference(resolution,[status(thm)],[143058912,143063512]),
    [] ).

fof(prove_something,plain,
    ( ~ p
    | ~ q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),
    [] ).

fof(clause2,plain,
    ( ~ p
    | q ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),
    [] ).

cnf(143052616,plain,
    q,
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause2,143048752]),
    [] ).

cnf(143068056,plain,
    ~ p,
    inference(rewrite__forward_subsumption_resolution,[status(thm)],[prove_something,143052616]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[150829840,143068056]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause3,plain,(~r|~q|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),[]).
% 
% fof(clause1,plain,(q|p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),[]).
% 
% cnf(143048752,plain,(q|p),inference(rewrite,[status(thm)],[clause1]),[]).
% 
% cnf(143058912,plain,(~r|p),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause3,143048752]),[]).
% 
% fof(clause4,plain,(r),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),[]).
% 
% cnf(143063512,plain,(r),inference(rewrite,[status(thm)],[clause4]),[]).
% 
% cnf(150829840,plain,(p),inference(resolution,[status(thm)],[143058912,143063512]),[]).
% 
% fof(prove_something,plain,(~p|~q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),[]).
% 
% fof(clause2,plain,(~p|q),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN029-1.tptp',unknown),[]).
% 
% cnf(143052616,plain,(q),inference(rewrite__forward_subsumption_resolution,[status(thm)],[clause2,143048752]),[]).
% 
% cnf(143068056,plain,(~p),inference(rewrite__forward_subsumption_resolution,[status(thm)],[prove_something,143052616]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[150829840,143068056]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------