%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV387+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art01.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 16:34:27 EDT 2009

% Result   : Theorem 0.2s
% Output   : Refutation 0.2s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   4 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   6   ~;   4   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l23_co,plain,
    ( ~ check_cpq(triple(u,v,w))
    & check_cpq(remove_cpq(triple(u,v,w),x))
    & ok(remove_cpq(triple(u,v,w),x)) ),
    file('/tmp/SystemOnTPTP28612/SWV387+1.p',unknown),
    [] ).

cnf(163994344,plain,
    ~ check_cpq(triple(u,v,w)),
    inference(rewrite,[status(thm)],[l23_co]),
    [] ).

cnf(163986824,plain,
    check_cpq(remove_cpq(triple(u,v,w),x)),
    inference(rewrite,[status(thm)],[l23_co]),
    [] ).

fof(l23_l027,plain,
    ! [A,B,C,D] :
      ( ~ check_cpq(remove_cpq(triple(A,B,C),D))
      | ~ ok(remove_cpq(triple(A,B,C),D))
      | check_cpq(triple(A,B,C)) ),
    file('/tmp/SystemOnTPTP28612/SWV387+1.p',unknown),
    [] ).

cnf(163908728,plain,
    ( ~ check_cpq(remove_cpq(triple(A,B,C),D))
    | ~ ok(remove_cpq(triple(A,B,C),D))
    | check_cpq(triple(A,B,C)) ),
    inference(rewrite,[status(thm)],[l23_l027]),
    [] ).

cnf(163974464,plain,
    ok(remove_cpq(triple(u,v,w),x)),
    inference(rewrite,[status(thm)],[l23_co]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163994344,163986824,163908728,163974464]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l23_co,plain,((~check_cpq(triple(u,v,w))&check_cpq(remove_cpq(triple(u,v,w),x))&ok(remove_cpq(triple(u,v,w),x)))),file('/tmp/SystemOnTPTP28612/SWV387+1.p',unknown),[]).
% 
% cnf(163994344,plain,(~check_cpq(triple(u,v,w))),inference(rewrite,[status(thm)],[l23_co]),[]).
% 
% cnf(163986824,plain,(check_cpq(remove_cpq(triple(u,v,w),x))),inference(rewrite,[status(thm)],[l23_co]),[]).
% 
% fof(l23_l027,plain,(~check_cpq(remove_cpq(triple(A,B,C),D))|~ok(remove_cpq(triple(A,B,C),D))|check_cpq(triple(A,B,C))),file('/tmp/SystemOnTPTP28612/SWV387+1.p',unknown),[]).
% 
% cnf(163908728,plain,(~check_cpq(remove_cpq(triple(A,B,C),D))|~ok(remove_cpq(triple(A,B,C),D))|check_cpq(triple(A,B,C))),inference(rewrite,[status(thm)],[l23_l027]),[]).
% 
% cnf(163974464,plain,(ok(remove_cpq(triple(u,v,w),x))),inference(rewrite,[status(thm)],[l23_co]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163994344,163986824,163908728,163974464]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------