%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV388+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 16:34:29 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    :    6 (   3 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    8 (   4   ~;   2   |;   2   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-3 aty)
%            Number of variables   :    6 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l24_co,plain,
    ( ~ check_cpq(triple(u,v,w))
    & check_cpq(findmin_cpq_eff(triple(u,v,w)))
    & ok(findmin_cpq_eff(triple(u,v,w))) ),
    file('/tmp/SystemOnTPTP28716/SWV388+1.p',unknown),
    [] ).

cnf(163446992,plain,
    check_cpq(findmin_cpq_eff(triple(u,v,w))),
    inference(rewrite,[status(thm)],[l24_co]),
    [] ).

fof(l24_l34,plain,
    ! [A,B,C] :
      ( check_cpq(triple(A,B,C))
      | ~ check_cpq(findmin_cpq_eff(triple(A,B,C))) ),
    file('/tmp/SystemOnTPTP28716/SWV388+1.p',unknown),
    [] ).

cnf(163374624,plain,
    ( check_cpq(triple(A,B,C))
    | ~ check_cpq(findmin_cpq_eff(triple(A,B,C))) ),
    inference(rewrite,[status(thm)],[l24_l34]),
    [] ).

cnf(163454536,plain,
    ~ check_cpq(triple(u,v,w)),
    inference(rewrite,[status(thm)],[l24_co]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163446992,163374624,163454536]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(l24_co,plain,((~check_cpq(triple(u,v,w))&check_cpq(findmin_cpq_eff(triple(u,v,w)))&ok(findmin_cpq_eff(triple(u,v,w))))),file('/tmp/SystemOnTPTP28716/SWV388+1.p',unknown),[]).
% 
% cnf(163446992,plain,(check_cpq(findmin_cpq_eff(triple(u,v,w)))),inference(rewrite,[status(thm)],[l24_co]),[]).
% 
% fof(l24_l34,plain,(check_cpq(triple(A,B,C))|~check_cpq(findmin_cpq_eff(triple(A,B,C)))),file('/tmp/SystemOnTPTP28716/SWV388+1.p',unknown),[]).
% 
% cnf(163374624,plain,(check_cpq(triple(A,B,C))|~check_cpq(findmin_cpq_eff(triple(A,B,C)))),inference(rewrite,[status(thm)],[l24_l34]),[]).
% 
% cnf(163454536,plain,(~check_cpq(triple(u,v,w))),inference(rewrite,[status(thm)],[l24_co]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163446992,163374624,163454536]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------