%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SYN380+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 17:52:17 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :   22 (   9   ~;   8   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 3-3 aty)
%            Number of variables   :   10 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(x2132,plain,
    ! [A,C,B] :
      ( ( ~ big_r(A,A)
        | big_q(C,B) )
      & ( big_r(B,C)
        | big_q(C,B) )
      & ( ~ big_r(A,A)
        | ~ big_q(z(A,B,C),z(A,B,C)) )
      & ( big_r(B,C)
        | ~ big_q(z(A,B,C),z(A,B,C)) )
      & ( ~ big_r(A,A)
        | ~ big_r(A,A) )
      & ( big_r(B,C)
        | ~ big_r(A,A) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN380+1.tptp',unknown),
    [] ).

cnf(173922232,plain,
    ( big_r(B,C)
    | big_q(C,B) ),
    inference(rewrite,[status(thm)],[x2132]),
    [] ).

cnf(173909296,plain,
    ~ big_r(A,A),
    inference(rewrite,[status(thm)],[x2132]),
    [] ).

cnf(189557176,plain,
    big_q(B,B),
    inference(resolution,[status(thm)],[173922232,173909296]),
    [] ).

cnf(173913912,plain,
    ( big_r(B,C)
    | ~ big_q(z(A,B,C),z(A,B,C)) ),
    inference(rewrite,[status(thm)],[x2132]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[189557176,173913912,173909296]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(x2132,plain,(((~big_r(A,A)|big_q(C,B))&(big_r(B,C)|big_q(C,B))&(~big_r(A,A)|~big_q(z(A,B,C),z(A,B,C)))&(big_r(B,C)|~big_q(z(A,B,C),z(A,B,C)))&(~big_r(A,A)|~big_r(A,A))&(big_r(B,C)|~big_r(A,A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SYN/SYN380+1.tptp',unknown),[]).
% 
% cnf(173922232,plain,(big_r(B,C)|big_q(C,B)),inference(rewrite,[status(thm)],[x2132]),[]).
% 
% cnf(173909296,plain,(~big_r(A,A)),inference(rewrite,[status(thm)],[x2132]),[]).
% 
% cnf(189557176,plain,(big_q(B,B)),inference(resolution,[status(thm)],[173922232,173909296]),[]).
% 
% cnf(173913912,plain,(big_r(B,C)|~big_q(z(A,B,C),z(A,B,C))),inference(rewrite,[status(thm)],[x2132]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[189557176,173913912,173909296]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------