%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT021+1 : TPTP v3.4.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 14:00:41 EDT 2009
% Result : Theorem 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 95 ( 46 ~; 45 |; 4 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_l3,plain,
( environment(e)
& subpopulations(first_movers,efficient_producers,e,t)
& decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),
[] ).
cnf(151939536,plain,
decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))),
inference(rewrite,[status(thm)],[prove_l3]),
[] ).
cnf(151958336,plain,
environment(e),
inference(rewrite,[status(thm)],[prove_l3]),
[] ).
cnf(151948888,plain,
subpopulations(first_movers,efficient_producers,e,t),
inference(rewrite,[status(thm)],[prove_l3]),
[] ).
fof(l4,plain,
! [A,B] :
( ( ~ constant(resources(A,B))
| ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B) )
& ( ~ decreases(resources(A,B))
| increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),
[] ).
cnf(151877528,plain,
( ~ constant(resources(A,B))
| ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B) ),
inference(rewrite,[status(thm)],[l4]),
[] ).
cnf(151859792,plain,
( ~ decreases(resources(A,B))
| increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B) ),
inference(rewrite,[status(thm)],[l4]),
[] ).
cnf(165235272,plain,
( ~ decreases(resources(e,A))
| increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
| ~ subpopulations(first_movers,efficient_producers,e,A) ),
inference(resolution,[status(thm)],[151859792,151958336]),
[] ).
cnf(165302144,plain,
( ~ decreases(resources(e,t))
| increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(resolution,[status(thm)],[165235272,151948888]),
[] ).
fof(mp_increase_not_decrease,plain,
! [A] :
( ~ increases(A)
| ~ decreases(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),
[] ).
cnf(151781144,plain,
( ~ increases(A)
| ~ decreases(A) ),
inference(rewrite,[status(thm)],[mp_increase_not_decrease]),
[] ).
cnf(166516152,plain,
~ decreases(resources(e,t)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151939536,165302144,151781144]),
[] ).
fof(mp_environment_not_empty,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),
[] ).
cnf(151770248,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ),
inference(rewrite,[status(thm)],[mp_environment_not_empty]),
[] ).
cnf(165166024,plain,
( ~ subpopulations(first_movers,efficient_producers,e,A)
| greater(number_of_organizations(e,A),zero) ),
inference(resolution,[status(thm)],[151770248,151958336]),
[] ).
cnf(165276528,plain,
greater(number_of_organizations(e,t),zero),
inference(resolution,[status(thm)],[165166024,151948888]),
[] ).
fof(mp_time_point_in_environment,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),
[] ).
cnf(151764608,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
inference(rewrite,[status(thm)],[mp_time_point_in_environment]),
[] ).
cnf(165151080,plain,
( ~ subpopulations(first_movers,efficient_producers,e,A)
| in_environment(e,A) ),
inference(resolution,[status(thm)],[151764608,151958336]),
[] ).
cnf(165262488,plain,
in_environment(e,t),
inference(resolution,[status(thm)],[165151080,151948888]),
[] ).
fof(a3,plain,
! [A,B] :
( ( greater(equilibrium(A),B)
| constant(resources(A,B))
| ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero) )
& ( ~ greater(equilibrium(A),B)
| decreases(resources(A,B))
| ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),
[] ).
cnf(151809520,plain,
( ~ greater(equilibrium(A),B)
| decreases(resources(A,B))
| ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero) ),
inference(rewrite,[status(thm)],[a3]),
[] ).
cnf(151825744,plain,
( greater(equilibrium(A),B)
| constant(resources(A,B))
| ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero) ),
inference(rewrite,[status(thm)],[a3]),
[] ).
cnf(165330248,plain,
( greater(equilibrium(e),t)
| constant(resources(e,t)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151958336,165276528,151825744,165262488]),
[] ).
cnf(165536896,plain,
( decreases(resources(e,t))
| constant(resources(e,t)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[151958336,165276528,165262488,151809520,165330248]),
[] ).
cnf(166552888,plain,
constant(resources(e,t)),
inference(resolution,[status(thm)],[166516152,165536896]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[151939536,151958336,151948888,151877528,166552888]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_l3,plain,((environment(e)&subpopulations(first_movers,efficient_producers,e,t)&decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),[]).
%
% cnf(151939536,plain,(decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(rewrite,[status(thm)],[prove_l3]),[]).
%
% cnf(151958336,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_l3]),[]).
%
% cnf(151948888,plain,(subpopulations(first_movers,efficient_producers,e,t)),inference(rewrite,[status(thm)],[prove_l3]),[]).
%
% fof(l4,plain,(((~constant(resources(A,B))|~decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))|~environment(A)|~subpopulations(first_movers,efficient_producers,A,B))&(~decreases(resources(A,B))|increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))|~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),[]).
%
% cnf(151877528,plain,(~constant(resources(A,B))|~decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))|~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)),inference(rewrite,[status(thm)],[l4]),[]).
%
% cnf(151859792,plain,(~decreases(resources(A,B))|increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))|~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)),inference(rewrite,[status(thm)],[l4]),[]).
%
% cnf(165235272,plain,(~decreases(resources(e,A))|increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))|~subpopulations(first_movers,efficient_producers,e,A)),inference(resolution,[status(thm)],[151859792,151958336]),[]).
%
% cnf(165302144,plain,(~decreases(resources(e,t))|increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(resolution,[status(thm)],[165235272,151948888]),[]).
%
% fof(mp_increase_not_decrease,plain,(~increases(A)|~decreases(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),[]).
%
% cnf(151781144,plain,(~increases(A)|~decreases(A)),inference(rewrite,[status(thm)],[mp_increase_not_decrease]),[]).
%
% cnf(166516152,plain,(~decreases(resources(e,t))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151939536,165302144,151781144]),[]).
%
% fof(mp_environment_not_empty,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|greater(number_of_organizations(A,B),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),[]).
%
% cnf(151770248,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|greater(number_of_organizations(A,B),zero)),inference(rewrite,[status(thm)],[mp_environment_not_empty]),[]).
%
% cnf(165166024,plain,(~subpopulations(first_movers,efficient_producers,e,A)|greater(number_of_organizations(e,A),zero)),inference(resolution,[status(thm)],[151770248,151958336]),[]).
%
% cnf(165276528,plain,(greater(number_of_organizations(e,t),zero)),inference(resolution,[status(thm)],[165166024,151948888]),[]).
%
% fof(mp_time_point_in_environment,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),[]).
%
% cnf(151764608,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_time_point_in_environment]),[]).
%
% cnf(165151080,plain,(~subpopulations(first_movers,efficient_producers,e,A)|in_environment(e,A)),inference(resolution,[status(thm)],[151764608,151958336]),[]).
%
% cnf(165262488,plain,(in_environment(e,t)),inference(resolution,[status(thm)],[165151080,151948888]),[]).
%
% fof(a3,plain,(((greater(equilibrium(A),B)|constant(resources(A,B))|~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero))&(~greater(equilibrium(A),B)|decreases(resources(A,B))|~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021+1.tptp',unknown),[]).
%
% cnf(151809520,plain,(~greater(equilibrium(A),B)|decreases(resources(A,B))|~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero)),inference(rewrite,[status(thm)],[a3]),[]).
%
% cnf(151825744,plain,(greater(equilibrium(A),B)|constant(resources(A,B))|~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero)),inference(rewrite,[status(thm)],[a3]),[]).
%
% cnf(165330248,plain,(greater(equilibrium(e),t)|constant(resources(e,t))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151958336,165276528,151825744,165262488]),[]).
%
% cnf(165536896,plain,(decreases(resources(e,t))|constant(resources(e,t))),inference(forward_subsumption_resolution__resolution,[status(thm)],[151958336,165276528,165262488,151809520,165330248]),[]).
%
% cnf(166552888,plain,(constant(resources(e,t))),inference(resolution,[status(thm)],[166516152,165536896]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[151939536,151958336,151948888,151877528,166552888]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------