%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SWV383+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art04.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 16:34:19 EDT 2009

% Result   : Theorem 0.5s
% Output   : Refutation 0.5s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   26 (  12   ~;  10   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   15 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l19_co,plain,
    ( ~ check_cpq(triple(u,v,w))
    & succ_cpq(triple(u,v,w),triple(x,y,z))
    & ok(triple(x,y,z))
    & check_cpq(triple(x,y,z)) ),
    file('/tmp/SystemOnTPTP3269/SWV383+1.p',unknown),
    [] ).

cnf(163188232,plain,
    succ_cpq(triple(u,v,w),triple(x,y,z)),
    inference(rewrite,[status(thm)],[l19_co]),
    [] ).

cnf(163172360,plain,
    check_cpq(triple(x,y,z)),
    inference(rewrite,[status(thm)],[l19_co]),
    [] ).

fof(l19_l20,plain,
    ! [A,B,C,D,E,F] :
      ( ( check_cpq(triple(A,B,C))
        | ~ succ_cpq(triple(A,B,C),triple(D,E,F))
        | ~ ok(triple(D,E,F))
        | ~ check_cpq(triple(D,E,F)) )
      & ( ok(triple(A,B,C))
        | ~ succ_cpq(triple(A,B,C),triple(D,E,F))
        | ~ ok(triple(D,E,F))
        | ~ check_cpq(triple(D,E,F)) ) ),
    file('/tmp/SystemOnTPTP3269/SWV383+1.p',unknown),
    [] ).

cnf(163086320,plain,
    ( check_cpq(triple(A,B,C))
    | ~ succ_cpq(triple(A,B,C),triple(D,E,F))
    | ~ ok(triple(D,E,F))
    | ~ check_cpq(triple(D,E,F)) ),
    inference(rewrite,[status(thm)],[l19_l20]),
    [] ).

cnf(163180032,plain,
    ok(triple(x,y,z)),
    inference(rewrite,[status(thm)],[l19_co]),
    [] ).

cnf(191945728,plain,
    ( check_cpq(triple(A,B,C))
    | ~ succ_cpq(triple(A,B,C),triple(x,y,z)) ),
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163172360,163086320,163180032]),
    [] ).

cnf(163199544,plain,
    ~ check_cpq(triple(u,v,w)),
    inference(rewrite,[status(thm)],[l19_co]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[163188232,191945728,163199544]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l19_co,plain,((~check_cpq(triple(u,v,w))&succ_cpq(triple(u,v,w),triple(x,y,z))&ok(triple(x,y,z))&check_cpq(triple(x,y,z)))),file('/tmp/SystemOnTPTP3269/SWV383+1.p',unknown),[]).
% 
% cnf(163188232,plain,(succ_cpq(triple(u,v,w),triple(x,y,z))),inference(rewrite,[status(thm)],[l19_co]),[]).
% 
% cnf(163172360,plain,(check_cpq(triple(x,y,z))),inference(rewrite,[status(thm)],[l19_co]),[]).
% 
% fof(l19_l20,plain,(((check_cpq(triple(A,B,C))|~succ_cpq(triple(A,B,C),triple(D,E,F))|~ok(triple(D,E,F))|~check_cpq(triple(D,E,F)))&(ok(triple(A,B,C))|~succ_cpq(triple(A,B,C),triple(D,E,F))|~ok(triple(D,E,F))|~check_cpq(triple(D,E,F))))),file('/tmp/SystemOnTPTP3269/SWV383+1.p',unknown),[]).
% 
% cnf(163086320,plain,(check_cpq(triple(A,B,C))|~succ_cpq(triple(A,B,C),triple(D,E,F))|~ok(triple(D,E,F))|~check_cpq(triple(D,E,F))),inference(rewrite,[status(thm)],[l19_l20]),[]).
% 
% cnf(163180032,plain,(ok(triple(x,y,z))),inference(rewrite,[status(thm)],[l19_co]),[]).
% 
% cnf(191945728,plain,(check_cpq(triple(A,B,C))|~succ_cpq(triple(A,B,C),triple(x,y,z))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163172360,163086320,163180032]),[]).
% 
% cnf(163199544,plain,(~check_cpq(triple(u,v,w))),inference(rewrite,[status(thm)],[l19_co]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[163188232,191945728,163199544]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------