TSTP Solution File: SYN383+1 by Faust---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN383+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art07.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 17:52:28 EDT 2009

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(x2135,plain,
    ! [A] :
      ( big_p(A)
      & big_q(y(A))
      & ~ big_q(A)
      & ~ big_p(y(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN383+1.tptp',unknown),
    [] ).

cnf(141338384,plain,
    ~ big_q(A),
    inference(rewrite,[status(thm)],[x2135]),
    [] ).

cnf(141347272,plain,
    big_q(y(A)),
    inference(rewrite,[status(thm)],[x2135]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[141338384,141347272]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(x2135,plain,((big_p(A)&big_q(y(A))&~big_q(A)&~big_p(y(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN383+1.tptp',unknown),[]).
% 
% cnf(141338384,plain,(~big_q(A)),inference(rewrite,[status(thm)],[x2135]),[]).
% 
% cnf(141347272,plain,(big_q(y(A))),inference(rewrite,[status(thm)],[x2135]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[141338384,141347272]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------