TSTP Solution File: MGT044+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT044+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 14:03:18 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 59 ( 27 ~; 26 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 6 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(definition_smaller_or_equal,plain,
! [A,B] :
( ( ~ smaller_or_equal(A,B)
| smaller(A,B)
| $equal(B,A) )
& ( ~ $equal(B,A)
| smaller_or_equal(A,B) )
& ( ~ smaller(A,B)
| smaller_or_equal(A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),
[] ).
cnf(156273000,plain,
( ~ $equal(B,A)
| smaller_or_equal(A,B) ),
inference(rewrite,[status(thm)],[definition_smaller_or_equal]),
[] ).
fof(assumption_9,plain,
! [A,B,C] :
( ~ organization(A)
| $equal(internal_friction(A,B),internal_friction(A,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),
[] ).
cnf(156433872,plain,
( ~ organization(A)
| $equal(internal_friction(A,B),internal_friction(A,C)) ),
inference(rewrite,[status(thm)],[assumption_9]),
[] ).
fof(lemma_3,plain,
( organization(x)
& greater(age(x,t),age(x,t0))
& ~ greater(capability(x,t),capability(x,t0)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),
[] ).
cnf(156522648,plain,
organization(x),
inference(rewrite,[status(thm)],[lemma_3]),
[] ).
cnf(169642952,plain,
$equal(internal_friction(x,A),internal_friction(x,B)),
inference(resolution,[status(thm)],[156433872,156522648]),
[] ).
cnf(169842856,plain,
smaller_or_equal(internal_friction(x,B),internal_friction(x,A)),
inference(resolution,[status(thm)],[156273000,169642952]),
[] ).
fof(assumption_5,plain,
! [A,C,B] :
( ( ~ smaller_or_equal(stock_of_knowledge(A,C),stock_of_knowledge(A,B))
| ~ greater(internal_friction(A,C),internal_friction(A,B))
| smaller(capability(A,C),capability(A,B))
| ~ organization(A) )
& ( ~ $equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ $equal(internal_friction(A,B),internal_friction(A,C))
| $equal(capability(A,B),capability(A,C))
| ~ organization(A) )
& ( ~ greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B))
| ~ smaller_or_equal(internal_friction(A,C),internal_friction(A,B))
| greater(capability(A,C),capability(A,B))
| ~ organization(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),
[] ).
cnf(156365272,plain,
( ~ greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B))
| ~ smaller_or_equal(internal_friction(A,C),internal_friction(A,B))
| greater(capability(A,C),capability(A,B))
| ~ organization(A) ),
inference(rewrite,[status(thm)],[assumption_5]),
[] ).
cnf(169710232,plain,
( ~ greater(stock_of_knowledge(x,B),stock_of_knowledge(x,A))
| ~ smaller_or_equal(internal_friction(x,B),internal_friction(x,A))
| greater(capability(x,B),capability(x,A)) ),
inference(resolution,[status(thm)],[156365272,156522648]),
[] ).
fof(assumption_7,plain,
! [A,C,B] :
( ~ organization(A)
| ~ greater(age(A,C),age(A,B))
| greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),
[] ).
cnf(156428712,plain,
( ~ organization(A)
| ~ greater(age(A,C),age(A,B))
| greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B)) ),
inference(rewrite,[status(thm)],[assumption_7]),
[] ).
cnf(169678112,plain,
( ~ greater(age(x,B),age(x,A))
| greater(stock_of_knowledge(x,B),stock_of_knowledge(x,A)) ),
inference(resolution,[status(thm)],[156428712,156522648]),
[] ).
cnf(156513728,plain,
greater(age(x,t),age(x,t0)),
inference(rewrite,[status(thm)],[lemma_3]),
[] ).
cnf(169835616,plain,
greater(stock_of_knowledge(x,t),stock_of_knowledge(x,t0)),
inference(resolution,[status(thm)],[169678112,156513728]),
[] ).
cnf(169964984,plain,
greater(capability(x,t),capability(x,t0)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[169842856,169710232,169835616]),
[] ).
cnf(156504448,plain,
~ greater(capability(x,t),capability(x,t0)),
inference(rewrite,[status(thm)],[lemma_3]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[169964984,156504448]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(definition_smaller_or_equal,plain,(((~smaller_or_equal(A,B)|smaller(A,B)|$equal(B,A))&(~$equal(B,A)|smaller_or_equal(A,B))&(~smaller(A,B)|smaller_or_equal(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),[]).
%
% cnf(156273000,plain,(~$equal(B,A)|smaller_or_equal(A,B)),inference(rewrite,[status(thm)],[definition_smaller_or_equal]),[]).
%
% fof(assumption_9,plain,(~organization(A)|$equal(internal_friction(A,B),internal_friction(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),[]).
%
% cnf(156433872,plain,(~organization(A)|$equal(internal_friction(A,B),internal_friction(A,C))),inference(rewrite,[status(thm)],[assumption_9]),[]).
%
% fof(lemma_3,plain,((organization(x)&greater(age(x,t),age(x,t0))&~greater(capability(x,t),capability(x,t0)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),[]).
%
% cnf(156522648,plain,(organization(x)),inference(rewrite,[status(thm)],[lemma_3]),[]).
%
% cnf(169642952,plain,($equal(internal_friction(x,A),internal_friction(x,B))),inference(resolution,[status(thm)],[156433872,156522648]),[]).
%
% cnf(169842856,plain,(smaller_or_equal(internal_friction(x,B),internal_friction(x,A))),inference(resolution,[status(thm)],[156273000,169642952]),[]).
%
% fof(assumption_5,plain,(((~smaller_or_equal(stock_of_knowledge(A,C),stock_of_knowledge(A,B))|~greater(internal_friction(A,C),internal_friction(A,B))|smaller(capability(A,C),capability(A,B))|~organization(A))&(~$equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))|~$equal(internal_friction(A,B),internal_friction(A,C))|$equal(capability(A,B),capability(A,C))|~organization(A))&(~greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B))|~smaller_or_equal(internal_friction(A,C),internal_friction(A,B))|greater(capability(A,C),capability(A,B))|~organization(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),[]).
%
% cnf(156365272,plain,(~greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B))|~smaller_or_equal(internal_friction(A,C),internal_friction(A,B))|greater(capability(A,C),capability(A,B))|~organization(A)),inference(rewrite,[status(thm)],[assumption_5]),[]).
%
% cnf(169710232,plain,(~greater(stock_of_knowledge(x,B),stock_of_knowledge(x,A))|~smaller_or_equal(internal_friction(x,B),internal_friction(x,A))|greater(capability(x,B),capability(x,A))),inference(resolution,[status(thm)],[156365272,156522648]),[]).
%
% fof(assumption_7,plain,(~organization(A)|~greater(age(A,C),age(A,B))|greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044+1.tptp',unknown),[]).
%
% cnf(156428712,plain,(~organization(A)|~greater(age(A,C),age(A,B))|greater(stock_of_knowledge(A,C),stock_of_knowledge(A,B))),inference(rewrite,[status(thm)],[assumption_7]),[]).
%
% cnf(169678112,plain,(~greater(age(x,B),age(x,A))|greater(stock_of_knowledge(x,B),stock_of_knowledge(x,A))),inference(resolution,[status(thm)],[156428712,156522648]),[]).
%
% cnf(156513728,plain,(greater(age(x,t),age(x,t0))),inference(rewrite,[status(thm)],[lemma_3]),[]).
%
% cnf(169835616,plain,(greater(stock_of_knowledge(x,t),stock_of_knowledge(x,t0))),inference(resolution,[status(thm)],[169678112,156513728]),[]).
%
% cnf(169964984,plain,(greater(capability(x,t),capability(x,t0))),inference(forward_subsumption_resolution__resolution,[status(thm)],[169842856,169710232,169835616]),[]).
%
% cnf(156504448,plain,(~greater(capability(x,t),capability(x,t0))),inference(rewrite,[status(thm)],[lemma_3]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[169964984,156504448]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------