TSTP Solution File: SWV376+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : SWV376+1 : TPTP v3.4.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.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 16:34:11 EDT 2009
% Result : Theorem 0.5s
% Output : Refutation 0.5s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 38 ( 17 ~; 17 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l12_co,plain,
( ~ ok(triple(u,v,w))
& succ_cpq(triple(u,v,w),triple(x,y,z))
& ok(triple(x,y,z)) ),
file('/tmp/SystemOnTPTP28347/SWV376+1.p',unknown),
[] ).
cnf(156795264,plain,
~ ok(triple(u,v,w)),
inference(rewrite,[status(thm)],[l12_co]),
[] ).
cnf(156775200,plain,
ok(triple(x,y,z)),
inference(rewrite,[status(thm)],[l12_co]),
[] ).
fof(l12_induction,plain,
! [G,H,I,J,K,L] :
( ( succ_cpq(triple(u,v,w),triple(x,y,z))
| ok(triple(G,H,I))
| ~ succ_cpq(triple(G,H,I),triple(J,K,L))
| ~ ok(triple(J,K,L)) )
& ( ~ ok(triple(x,y,z))
| ok(triple(G,H,I))
| ~ succ_cpq(triple(G,H,I),triple(J,K,L))
| ~ ok(triple(J,K,L)) )
& ( ok(im_succ_cpq(triple(x,y,z)))
| ok(triple(G,H,I))
| ~ succ_cpq(triple(G,H,I),triple(J,K,L))
| ~ ok(triple(J,K,L)) ) ),
file('/tmp/SystemOnTPTP28347/SWV376+1.p',unknown),
[] ).
cnf(156659464,plain,
( ok(im_succ_cpq(triple(x,y,z)))
| ok(triple(G,H,I))
| ~ succ_cpq(triple(G,H,I),triple(J,K,L))
| ~ ok(triple(J,K,L)) ),
inference(rewrite,[status(thm)],[l12_induction]),
[] ).
cnf(156783760,plain,
succ_cpq(triple(u,v,w),triple(x,y,z)),
inference(rewrite,[status(thm)],[l12_co]),
[] ).
cnf(186150152,plain,
ok(im_succ_cpq(triple(x,y,z))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[156795264,156775200,156659464,156783760]),
[] ).
fof(l12_l13,plain,
! [A,B,C] :
( ok(triple(A,B,C))
| ~ ok(im_succ_cpq(triple(A,B,C))) ),
file('/tmp/SystemOnTPTP28347/SWV376+1.p',unknown),
[] ).
cnf(156693808,plain,
( ok(triple(A,B,C))
| ~ ok(im_succ_cpq(triple(A,B,C))) ),
inference(rewrite,[status(thm)],[l12_l13]),
[] ).
cnf(156673928,plain,
( ~ ok(triple(x,y,z))
| ok(triple(G,H,I))
| ~ succ_cpq(triple(G,H,I),triple(J,K,L))
| ~ ok(triple(J,K,L)) ),
inference(rewrite,[status(thm)],[l12_induction]),
[] ).
cnf(186150424,plain,
~ ok(triple(x,y,z)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[156795264,156775200,156673928,156783760]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[186150152,156693808,186150424]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l12_co,plain,((~ok(triple(u,v,w))&succ_cpq(triple(u,v,w),triple(x,y,z))&ok(triple(x,y,z)))),file('/tmp/SystemOnTPTP28347/SWV376+1.p',unknown),[]).
%
% cnf(156795264,plain,(~ok(triple(u,v,w))),inference(rewrite,[status(thm)],[l12_co]),[]).
%
% cnf(156775200,plain,(ok(triple(x,y,z))),inference(rewrite,[status(thm)],[l12_co]),[]).
%
% fof(l12_induction,plain,(((succ_cpq(triple(u,v,w),triple(x,y,z))|ok(triple(G,H,I))|~succ_cpq(triple(G,H,I),triple(J,K,L))|~ok(triple(J,K,L)))&(~ok(triple(x,y,z))|ok(triple(G,H,I))|~succ_cpq(triple(G,H,I),triple(J,K,L))|~ok(triple(J,K,L)))&(ok(im_succ_cpq(triple(x,y,z)))|ok(triple(G,H,I))|~succ_cpq(triple(G,H,I),triple(J,K,L))|~ok(triple(J,K,L))))),file('/tmp/SystemOnTPTP28347/SWV376+1.p',unknown),[]).
%
% cnf(156659464,plain,(ok(im_succ_cpq(triple(x,y,z)))|ok(triple(G,H,I))|~succ_cpq(triple(G,H,I),triple(J,K,L))|~ok(triple(J,K,L))),inference(rewrite,[status(thm)],[l12_induction]),[]).
%
% cnf(156783760,plain,(succ_cpq(triple(u,v,w),triple(x,y,z))),inference(rewrite,[status(thm)],[l12_co]),[]).
%
% cnf(186150152,plain,(ok(im_succ_cpq(triple(x,y,z)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[156795264,156775200,156659464,156783760]),[]).
%
% fof(l12_l13,plain,(ok(triple(A,B,C))|~ok(im_succ_cpq(triple(A,B,C)))),file('/tmp/SystemOnTPTP28347/SWV376+1.p',unknown),[]).
%
% cnf(156693808,plain,(ok(triple(A,B,C))|~ok(im_succ_cpq(triple(A,B,C)))),inference(rewrite,[status(thm)],[l12_l13]),[]).
%
% cnf(156673928,plain,(~ok(triple(x,y,z))|ok(triple(G,H,I))|~succ_cpq(triple(G,H,I),triple(J,K,L))|~ok(triple(J,K,L))),inference(rewrite,[status(thm)],[l12_induction]),[]).
%
% cnf(186150424,plain,(~ok(triple(x,y,z))),inference(forward_subsumption_resolution__resolution,[status(thm)],[156795264,156775200,156673928,156783760]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[186150152,156693808,186150424]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------