%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV385+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 16:34:22 EDT 2009
% Result : Theorem 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 38 ( 14 ~; 16 |; 8 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l21_co,plain,
( ( check_cpq(im_succ_cpq(triple(u,v,w)))
| ~ check_cpq(triple(u,v,w)) )
& ( ok(im_succ_cpq(triple(u,v,w)))
| ~ check_cpq(triple(u,v,w)) )
& ( ~ ok(triple(u,v,w))
| ~ check_cpq(triple(u,v,w)) )
& ( check_cpq(im_succ_cpq(triple(u,v,w)))
| check_cpq(im_succ_cpq(triple(u,v,w))) )
& ( ok(im_succ_cpq(triple(u,v,w)))
| check_cpq(im_succ_cpq(triple(u,v,w))) )
& ( ~ ok(triple(u,v,w))
| check_cpq(im_succ_cpq(triple(u,v,w))) )
& ( check_cpq(im_succ_cpq(triple(u,v,w)))
| ok(im_succ_cpq(triple(u,v,w))) )
& ( ok(im_succ_cpq(triple(u,v,w)))
| ok(im_succ_cpq(triple(u,v,w))) )
& ( ~ ok(triple(u,v,w))
| ok(im_succ_cpq(triple(u,v,w))) ) ),
file('/tmp/SystemOnTPTP28504/SWV385+1.p',unknown),
[] ).
cnf(169897304,plain,
check_cpq(im_succ_cpq(triple(u,v,w))),
inference(rewrite,[status(thm)],[l21_co]),
[] ).
fof(l21_li2225,plain,
! [A,B,C] :
( check_cpq(triple(A,B,C))
| ~ check_cpq(im_succ_cpq(triple(A,B,C)))
| ~ ok(im_succ_cpq(triple(A,B,C))) ),
file('/tmp/SystemOnTPTP28504/SWV385+1.p',unknown),
[] ).
cnf(169760824,plain,
( check_cpq(triple(A,B,C))
| ~ check_cpq(im_succ_cpq(triple(A,B,C)))
| ~ ok(im_succ_cpq(triple(A,B,C))) ),
inference(rewrite,[status(thm)],[l21_li2225]),
[] ).
cnf(169882744,plain,
ok(im_succ_cpq(triple(u,v,w))),
inference(rewrite,[status(thm)],[l21_co]),
[] ).
cnf(203456944,plain,
check_cpq(triple(u,v,w)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169897304,169760824,169882744]),
[] ).
cnf(169906384,plain,
( ~ ok(triple(u,v,w))
| ~ check_cpq(triple(u,v,w)) ),
inference(rewrite,[status(thm)],[l21_co]),
[] ).
fof(l21_li1316,plain,
! [A,B,C] :
( ok(triple(A,B,C))
| ~ ok(im_succ_cpq(triple(A,B,C))) ),
file('/tmp/SystemOnTPTP28504/SWV385+1.p',unknown),
[] ).
cnf(169752520,plain,
( ok(triple(A,B,C))
| ~ ok(im_succ_cpq(triple(A,B,C))) ),
inference(rewrite,[status(thm)],[l21_li1316]),
[] ).
cnf(188925760,plain,
ok(triple(u,v,w)),
inference(resolution,[status(thm)],[169752520,169882744]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[203456944,169906384,188925760]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l21_co,plain,(((check_cpq(im_succ_cpq(triple(u,v,w)))|~check_cpq(triple(u,v,w)))&(ok(im_succ_cpq(triple(u,v,w)))|~check_cpq(triple(u,v,w)))&(~ok(triple(u,v,w))|~check_cpq(triple(u,v,w)))&(check_cpq(im_succ_cpq(triple(u,v,w)))|check_cpq(im_succ_cpq(triple(u,v,w))))&(ok(im_succ_cpq(triple(u,v,w)))|check_cpq(im_succ_cpq(triple(u,v,w))))&(~ok(triple(u,v,w))|check_cpq(im_succ_cpq(triple(u,v,w))))&(check_cpq(im_succ_cpq(triple(u,v,w)))|ok(im_succ_cpq(triple(u,v,w))))&(ok(im_succ_cpq(triple(u,v,w)))|ok(im_succ_cpq(triple(u,v,w))))&(~ok(triple(u,v,w))|ok(im_succ_cpq(triple(u,v,w)))))),file('/tmp/SystemOnTPTP28504/SWV385+1.p',unknown),[]).
%
% cnf(169897304,plain,(check_cpq(im_succ_cpq(triple(u,v,w)))),inference(rewrite,[status(thm)],[l21_co]),[]).
%
% fof(l21_li2225,plain,(check_cpq(triple(A,B,C))|~check_cpq(im_succ_cpq(triple(A,B,C)))|~ok(im_succ_cpq(triple(A,B,C)))),file('/tmp/SystemOnTPTP28504/SWV385+1.p',unknown),[]).
%
% cnf(169760824,plain,(check_cpq(triple(A,B,C))|~check_cpq(im_succ_cpq(triple(A,B,C)))|~ok(im_succ_cpq(triple(A,B,C)))),inference(rewrite,[status(thm)],[l21_li2225]),[]).
%
% cnf(169882744,plain,(ok(im_succ_cpq(triple(u,v,w)))),inference(rewrite,[status(thm)],[l21_co]),[]).
%
% cnf(203456944,plain,(check_cpq(triple(u,v,w))),inference(forward_subsumption_resolution__resolution,[status(thm)],[169897304,169760824,169882744]),[]).
%
% cnf(169906384,plain,(~ok(triple(u,v,w))|~check_cpq(triple(u,v,w))),inference(rewrite,[status(thm)],[l21_co]),[]).
%
% fof(l21_li1316,plain,(ok(triple(A,B,C))|~ok(im_succ_cpq(triple(A,B,C)))),file('/tmp/SystemOnTPTP28504/SWV385+1.p',unknown),[]).
%
% cnf(169752520,plain,(ok(triple(A,B,C))|~ok(im_succ_cpq(triple(A,B,C)))),inference(rewrite,[status(thm)],[l21_li1316]),[]).
%
% cnf(188925760,plain,(ok(triple(u,v,w))),inference(resolution,[status(thm)],[169752520,169882744]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[203456944,169906384,188925760]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------