TSTP Solution File: MGT049+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT049+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 14:03:40 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 5 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 21 ( 10 ~; 8 |; 3 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 6 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(lemma_6,plain,
( organization(x)
& greater(age(x,t),age(x,t0))
& ~ $equal(position(x,t0),position(x,t)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),
[] ).
cnf(160805800,plain,
organization(x),
inference(rewrite,[status(thm)],[lemma_6]),
[] ).
fof(assumption_6,plain,
! [A,B,C] :
( ( ~ $equal(external_ties(A,B),external_ties(A,C))
| $equal(position(A,B),position(A,C))
| ~ organization(A) )
& ( ~ greater(external_ties(A,C),external_ties(A,B))
| greater(position(A,C),position(A,B))
| ~ organization(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),
[] ).
cnf(160710400,plain,
( ~ $equal(external_ties(A,B),external_ties(A,C))
| $equal(position(A,B),position(A,C))
| ~ organization(A) ),
inference(rewrite,[status(thm)],[assumption_6]),
[] ).
fof(assumption_11,plain,
! [A,B,C] :
( ~ organization(A)
| $equal(external_ties(A,B),external_ties(A,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),
[] ).
cnf(160717160,plain,
( ~ organization(A)
| $equal(external_ties(A,B),external_ties(A,C)) ),
inference(rewrite,[status(thm)],[assumption_11]),
[] ).
cnf(173913944,plain,
$equal(external_ties(x,A),external_ties(x,B)),
inference(resolution,[status(thm)],[160717160,160805800]),
[] ).
cnf(174043688,plain,
$equal(position(x,A),position(x,B)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160805800,160710400,173913944]),
[] ).
cnf(160783576,plain,
~ $equal(position(x,t0),position(x,t)),
inference(rewrite,[status(thm)],[lemma_6]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174043688,160783576]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(lemma_6,plain,((organization(x)&greater(age(x,t),age(x,t0))&~$equal(position(x,t0),position(x,t)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),[]).
%
% cnf(160805800,plain,(organization(x)),inference(rewrite,[status(thm)],[lemma_6]),[]).
%
% fof(assumption_6,plain,(((~$equal(external_ties(A,B),external_ties(A,C))|$equal(position(A,B),position(A,C))|~organization(A))&(~greater(external_ties(A,C),external_ties(A,B))|greater(position(A,C),position(A,B))|~organization(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),[]).
%
% cnf(160710400,plain,(~$equal(external_ties(A,B),external_ties(A,C))|$equal(position(A,B),position(A,C))|~organization(A)),inference(rewrite,[status(thm)],[assumption_6]),[]).
%
% fof(assumption_11,plain,(~organization(A)|$equal(external_ties(A,B),external_ties(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT049+1.tptp',unknown),[]).
%
% cnf(160717160,plain,(~organization(A)|$equal(external_ties(A,B),external_ties(A,C))),inference(rewrite,[status(thm)],[assumption_11]),[]).
%
% cnf(173913944,plain,($equal(external_ties(x,A),external_ties(x,B))),inference(resolution,[status(thm)],[160717160,160805800]),[]).
%
% cnf(174043688,plain,($equal(position(x,A),position(x,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160805800,160710400,173913944]),[]).
%
% cnf(160783576,plain,(~$equal(position(x,t0),position(x,t))),inference(rewrite,[status(thm)],[lemma_6]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174043688,160783576]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------