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 : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 20 ( 11 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 6 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(lemma_3_37,plain,
organization(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),
[] ).
cnf(151680920,plain,
organization(sk1),
inference(rewrite,[status(thm)],[lemma_3_37]),
[] ).
fof(definition_smaller_or_equal_3,plain,
! [B,A] :
( ~ $equal(B,A)
| smaller_or_equal(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),
[] ).
cnf(151549672,plain,
( ~ $equal(B,A)
| smaller_or_equal(A,B) ),
inference(rewrite,[status(thm)],[definition_smaller_or_equal_3]),
[] ).
fof(assumption_9_36,plain,
! [A,C,B] :
( ~ organization(A)
| $equal(internal_friction(A,C),internal_friction(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),
[] ).
cnf(151676280,plain,
( ~ organization(A)
| $equal(internal_friction(A,C),internal_friction(A,B)) ),
inference(rewrite,[status(thm)],[assumption_9_36]),
[] ).
cnf(164814856,plain,
$equal(internal_friction(sk1,B),internal_friction(sk1,A)),
inference(resolution,[status(thm)],[151676280,151680920]),
[] ).
cnf(165033112,plain,
smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B)),
inference(resolution,[status(thm)],[151549672,164814856]),
[] ).
fof(assumption_5_32,plain,
! [A,B,C] :
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),
[] ).
cnf(151617216,plain,
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ),
inference(rewrite,[status(thm)],[assumption_5_32]),
[] ).
fof(assumption_7_35,plain,
! [A,B,C] :
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),
[] ).
cnf(151667000,plain,
( ~ organization(A)
| ~ greater(age(A,B),age(A,C))
| greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C)) ),
inference(rewrite,[status(thm)],[assumption_7_35]),
[] ).
cnf(164850144,plain,
( ~ greater(age(sk1,A),age(sk1,B))
| greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B)) ),
inference(resolution,[status(thm)],[151667000,151680920]),
[] ).
fof(lemma_3_38,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),
[] ).
cnf(151685992,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(rewrite,[status(thm)],[lemma_3_38]),
[] ).
cnf(165025704,plain,
greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)),
inference(resolution,[status(thm)],[164850144,151685992]),
[] ).
cnf(165138440,plain,
greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151680920,165033112,151617216,165025704]),
[] ).
fof(lemma_3_39,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),
[] ).
cnf(151694328,plain,
~ greater(capability(sk1,sk3),capability(sk1,sk2)),
inference(rewrite,[status(thm)],[lemma_3_39]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[165138440,151694328]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(lemma_3_37,plain,(organization(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),[]).
%
% cnf(151680920,plain,(organization(sk1)),inference(rewrite,[status(thm)],[lemma_3_37]),[]).
%
% fof(definition_smaller_or_equal_3,plain,(~$equal(B,A)|smaller_or_equal(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),[]).
%
% cnf(151549672,plain,(~$equal(B,A)|smaller_or_equal(A,B)),inference(rewrite,[status(thm)],[definition_smaller_or_equal_3]),[]).
%
% fof(assumption_9_36,plain,(~organization(A)|$equal(internal_friction(A,C),internal_friction(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),[]).
%
% cnf(151676280,plain,(~organization(A)|$equal(internal_friction(A,C),internal_friction(A,B))),inference(rewrite,[status(thm)],[assumption_9_36]),[]).
%
% cnf(164814856,plain,($equal(internal_friction(sk1,B),internal_friction(sk1,A))),inference(resolution,[status(thm)],[151676280,151680920]),[]).
%
% cnf(165033112,plain,(smaller_or_equal(internal_friction(sk1,A),internal_friction(sk1,B))),inference(resolution,[status(thm)],[151549672,164814856]),[]).
%
% fof(assumption_5_32,plain,(~organization(A)|~greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))|~smaller_or_equal(internal_friction(A,B),internal_friction(A,C))|greater(capability(A,B),capability(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),[]).
%
% cnf(151617216,plain,(~organization(A)|~greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))|~smaller_or_equal(internal_friction(A,B),internal_friction(A,C))|greater(capability(A,B),capability(A,C))),inference(rewrite,[status(thm)],[assumption_5_32]),[]).
%
% fof(assumption_7_35,plain,(~organization(A)|~greater(age(A,B),age(A,C))|greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),[]).
%
% cnf(151667000,plain,(~organization(A)|~greater(age(A,B),age(A,C))|greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))),inference(rewrite,[status(thm)],[assumption_7_35]),[]).
%
% cnf(164850144,plain,(~greater(age(sk1,A),age(sk1,B))|greater(stock_of_knowledge(sk1,A),stock_of_knowledge(sk1,B))),inference(resolution,[status(thm)],[151667000,151680920]),[]).
%
% fof(lemma_3_38,plain,(greater(age(sk1,sk3),age(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),[]).
%
% cnf(151685992,plain,(greater(age(sk1,sk3),age(sk1,sk2))),inference(rewrite,[status(thm)],[lemma_3_38]),[]).
%
% cnf(165025704,plain,(greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))),inference(resolution,[status(thm)],[164850144,151685992]),[]).
%
% cnf(165138440,plain,(greater(capability(sk1,sk3),capability(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151680920,165033112,151617216,165025704]),[]).
%
% fof(lemma_3_39,plain,(~greater(capability(sk1,sk3),capability(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT044-1.tptp',unknown),[]).
%
% cnf(151694328,plain,(~greater(capability(sk1,sk3),capability(sk1,sk2))),inference(rewrite,[status(thm)],[lemma_3_39]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[165138440,151694328]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------