TSTP Solution File: MGT048+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT048+1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art10.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 14:03:36 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 : 17 ( 8 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 53 ( 24 ~; 23 |; 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 : 26 ( 6 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(lemma_5,plain,
( organization(x)
& greater(age(x,t),age(x,t0))
& ~ smaller(capability(x,t),capability(x,t0)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT048+1.tptp',unknown),
[] ).
cnf(160738312,plain,
organization(x),
inference(rewrite,[status(thm)],[lemma_5]),
[] ).
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/MGT048+1.tptp',unknown),
[] ).
cnf(160488584,plain,
( ~ $equal(B,A)
| smaller_or_equal(A,B) ),
inference(rewrite,[status(thm)],[definition_smaller_or_equal]),
[] ).
fof(assumption_10,plain,
! [A,B,C] :
( ~ organization(A)
| $equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT048+1.tptp',unknown),
[] ).
cnf(160632904,plain,
( ~ organization(A)
| $equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
inference(rewrite,[status(thm)],[assumption_10]),
[] ).
cnf(173858616,plain,
$equal(stock_of_knowledge(x,A),stock_of_knowledge(x,B)),
inference(resolution,[status(thm)],[160632904,160738312]),
[] ).
cnf(174059120,plain,
smaller_or_equal(stock_of_knowledge(x,B),stock_of_knowledge(x,A)),
inference(resolution,[status(thm)],[160488584,173858616]),
[] ).
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/MGT048+1.tptp',unknown),
[] ).
cnf(160622048,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) ),
inference(rewrite,[status(thm)],[assumption_5]),
[] ).
fof(assumption_12,plain,
! [A,C,B] :
( ~ organization(A)
| ~ greater(age(A,C),age(A,B))
| greater(internal_friction(A,C),internal_friction(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT048+1.tptp',unknown),
[] ).
cnf(160649328,plain,
( ~ organization(A)
| ~ greater(age(A,C),age(A,B))
| greater(internal_friction(A,C),internal_friction(A,B)) ),
inference(rewrite,[status(thm)],[assumption_12]),
[] ).
cnf(160729152,plain,
greater(age(x,t),age(x,t0)),
inference(rewrite,[status(thm)],[lemma_5]),
[] ).
cnf(174051264,plain,
greater(internal_friction(x,t),internal_friction(x,t0)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160738312,160649328,160729152]),
[] ).
cnf(174181832,plain,
smaller(capability(x,t),capability(x,t0)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[160738312,174059120,160622048,174051264]),
[] ).
cnf(160719864,plain,
~ smaller(capability(x,t),capability(x,t0)),
inference(rewrite,[status(thm)],[lemma_5]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[174181832,160719864]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(lemma_5,plain,((organization(x)&greater(age(x,t),age(x,t0))&~smaller(capability(x,t),capability(x,t0)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT048+1.tptp',unknown),[]).
%
% cnf(160738312,plain,(organization(x)),inference(rewrite,[status(thm)],[lemma_5]),[]).
%
% fof(definition_smaller_or_equal,plain,(((~smaller_or_equal(A,B)|smaller(A,B)|$equal(B,A))&(~$equal(B,A)|smaller_or_equal(A,B))&(~smaller(A,B)|smaller_or_equal(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT048+1.tptp',unknown),[]).
%
% cnf(160488584,plain,(~$equal(B,A)|smaller_or_equal(A,B)),inference(rewrite,[status(thm)],[definition_smaller_or_equal]),[]).
%
% fof(assumption_10,plain,(~organization(A)|$equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT048+1.tptp',unknown),[]).
%
% cnf(160632904,plain,(~organization(A)|$equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))),inference(rewrite,[status(thm)],[assumption_10]),[]).
%
% cnf(173858616,plain,($equal(stock_of_knowledge(x,A),stock_of_knowledge(x,B))),inference(resolution,[status(thm)],[160632904,160738312]),[]).
%
% cnf(174059120,plain,(smaller_or_equal(stock_of_knowledge(x,B),stock_of_knowledge(x,A))),inference(resolution,[status(thm)],[160488584,173858616]),[]).
%
% fof(assumption_5,plain,(((~smaller_or_equal(stock_of_knowledge(A,C),stock_of_knowledge(A,B))|~greater(internal_friction(A,C),internal_friction(A,B))|smaller(capability(A,C),capability(A,B))|~organization(A))&(~$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/MGT048+1.tptp',unknown),[]).
%
% cnf(160622048,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)),inference(rewrite,[status(thm)],[assumption_5]),[]).
%
% fof(assumption_12,plain,(~organization(A)|~greater(age(A,C),age(A,B))|greater(internal_friction(A,C),internal_friction(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT048+1.tptp',unknown),[]).
%
% cnf(160649328,plain,(~organization(A)|~greater(age(A,C),age(A,B))|greater(internal_friction(A,C),internal_friction(A,B))),inference(rewrite,[status(thm)],[assumption_12]),[]).
%
% cnf(160729152,plain,(greater(age(x,t),age(x,t0))),inference(rewrite,[status(thm)],[lemma_5]),[]).
%
% cnf(174051264,plain,(greater(internal_friction(x,t),internal_friction(x,t0))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160738312,160649328,160729152]),[]).
%
% cnf(174181832,plain,(smaller(capability(x,t),capability(x,t0))),inference(forward_subsumption_resolution__resolution,[status(thm)],[160738312,174059120,160622048,174051264]),[]).
%
% cnf(160719864,plain,(~smaller(capability(x,t),capability(x,t0))),inference(rewrite,[status(thm)],[lemma_5]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[174181832,160719864]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------