TSTP Solution File: SYN053-1 by Faust---1.0

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%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN053-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art03.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 16:39:26 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   14 (   7   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    6 (   4 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(clause_5,plain,
    ( ~ big_f(a)
    | ~ big_f(b) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN053-1.tptp',unknown),
    [] ).

cnf(147098520,plain,
    ( ~ big_f(a)
    | ~ big_f(b) ),
    inference(rewrite,[status(thm)],[clause_5]),
    [] ).

fof(clause_1,plain,
    ! [A,B] :
      ( p
      | big_f(A)
      | big_f(B) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN053-1.tptp',unknown),
    [] ).

cnf(147087432,plain,
    ( p
    | big_f(A)
    | big_f(B) ),
    inference(rewrite,[status(thm)],[clause_1]),
    [] ).

fof(clause_3,plain,
    ~ p,
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN053-1.tptp',unknown),
    [] ).

cnf(147092144,plain,
    ~ p,
    inference(rewrite,[status(thm)],[clause_3]),
    [] ).

cnf(160096080,plain,
    ( big_f(A)
    | big_f(B) ),
    inference(resolution,[status(thm)],[147087432,147092144]),
    [] ).

cnf(160101072,plain,
    ~ big_f(b),
    inference(resolution,[status(thm)],[147098520,160096080]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[160101072,160096080]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(clause_5,plain,(~big_f(a)|~big_f(b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN053-1.tptp',unknown),[]).
% 
% cnf(147098520,plain,(~big_f(a)|~big_f(b)),inference(rewrite,[status(thm)],[clause_5]),[]).
% 
% fof(clause_1,plain,(p|big_f(A)|big_f(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN053-1.tptp',unknown),[]).
% 
% cnf(147087432,plain,(p|big_f(A)|big_f(B)),inference(rewrite,[status(thm)],[clause_1]),[]).
% 
% fof(clause_3,plain,(~p),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN053-1.tptp',unknown),[]).
% 
% cnf(147092144,plain,(~p),inference(rewrite,[status(thm)],[clause_3]),[]).
% 
% cnf(160096080,plain,(big_f(A)|big_f(B)),inference(resolution,[status(thm)],[147087432,147092144]),[]).
% 
% cnf(160101072,plain,(~big_f(b)),inference(resolution,[status(thm)],[147098520,160096080]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[160101072,160096080]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------