TSTP Solution File: SYN063-2 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN063-2 : TPTP v3.4.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.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 16:40:15 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(pel33_1,plain,
    ( big_p(c)
    | ~ big_p(a) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-2.tptp',unknown),
    [] ).

cnf(150555216,plain,
    ( big_p(c)
    | ~ big_p(a) ),
    inference(rewrite,[status(thm)],[pel33_1]),
    [] ).

fof(pel33_2,plain,
    big_p(a),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-2.tptp',unknown),
    [] ).

cnf(150559152,plain,
    big_p(a),
    inference(rewrite,[status(thm)],[pel33_2]),
    [] ).

cnf(163538616,plain,
    big_p(c),
    inference(resolution,[status(thm)],[150555216,150559152]),
    [] ).

fof(pel33_3,plain,
    ~ big_p(c),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-2.tptp',unknown),
    [] ).

cnf(150563664,plain,
    ~ big_p(c),
    inference(rewrite,[status(thm)],[pel33_3]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[163538616,150563664]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(pel33_1,plain,(big_p(c)|~big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-2.tptp',unknown),[]).
% 
% cnf(150555216,plain,(big_p(c)|~big_p(a)),inference(rewrite,[status(thm)],[pel33_1]),[]).
% 
% fof(pel33_2,plain,(big_p(a)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-2.tptp',unknown),[]).
% 
% cnf(150559152,plain,(big_p(a)),inference(rewrite,[status(thm)],[pel33_2]),[]).
% 
% cnf(163538616,plain,(big_p(c)),inference(resolution,[status(thm)],[150555216,150559152]),[]).
% 
% fof(pel33_3,plain,(~big_p(c)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN063-2.tptp',unknown),[]).
% 
% cnf(150563664,plain,(~big_p(c)),inference(rewrite,[status(thm)],[pel33_3]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[163538616,150563664]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------