%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT036-3 : 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 14:02:32 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 34 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a13_star_5,plain,
environment(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),
[] ).
cnf(140724584,plain,
environment(sk1),
inference(rewrite,[status(thm)],[a13_star_5]),
[] ).
fof(a13_star_8,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),
[] ).
cnf(140743440,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(rewrite,[status(thm)],[a13_star_8]),
[] ).
fof(a13_star_7,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),
[] ).
cnf(140738560,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(rewrite,[status(thm)],[a13_star_7]),
[] ).
fof(d2_2,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater_or_equal(growth_rate(C,D),zero)
| ~ greater(zero,growth_rate(B,D))
| outcompetes(C,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),
[] ).
cnf(140695744,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater_or_equal(growth_rate(C,D),zero)
| ~ greater(zero,growth_rate(B,D))
| outcompetes(C,B,D) ),
inference(rewrite,[status(thm)],[d2_2]),
[] ).
fof(mp_symmetry_of_subpopulations_1,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| subpopulations(C,B,A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),
[] ).
cnf(140660728,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| subpopulations(C,B,A,D) ),
inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations_1]),
[] ).
fof(a13_star_6,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),
[] ).
cnf(140641664,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(rewrite,[status(thm)],[a13_star_6]),
[] ).
cnf(148639104,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[140724584,140660728,140641664]),
[] ).
cnf(148918312,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[140724584,140743440,140738560,140695744,148639104]),
[] ).
fof(prove_t5_star_9,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ outcompetes(first_movers,efficient_producers,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),
[] ).
cnf(140757576,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ outcompetes(first_movers,efficient_producers,B) ),
inference(rewrite,[status(thm)],[prove_t5_star_9]),
[] ).
cnf(148654088,plain,
~ outcompetes(first_movers,efficient_producers,sk2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[140724584,140757576,140641664]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[148918312,148654088]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a13_star_5,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),[]).
%
% cnf(140724584,plain,(environment(sk1)),inference(rewrite,[status(thm)],[a13_star_5]),[]).
%
% fof(a13_star_8,plain,(greater(zero,growth_rate(efficient_producers,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),[]).
%
% cnf(140743440,plain,(greater(zero,growth_rate(efficient_producers,sk2))),inference(rewrite,[status(thm)],[a13_star_8]),[]).
%
% fof(a13_star_7,plain,(greater_or_equal(growth_rate(first_movers,sk2),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),[]).
%
% cnf(140738560,plain,(greater_or_equal(growth_rate(first_movers,sk2),zero)),inference(rewrite,[status(thm)],[a13_star_7]),[]).
%
% fof(d2_2,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater_or_equal(growth_rate(C,D),zero)|~greater(zero,growth_rate(B,D))|outcompetes(C,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),[]).
%
% cnf(140695744,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater_or_equal(growth_rate(C,D),zero)|~greater(zero,growth_rate(B,D))|outcompetes(C,B,D)),inference(rewrite,[status(thm)],[d2_2]),[]).
%
% fof(mp_symmetry_of_subpopulations_1,plain,(~environment(A)|~subpopulations(B,C,A,D)|subpopulations(C,B,A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),[]).
%
% cnf(140660728,plain,(~environment(A)|~subpopulations(B,C,A,D)|subpopulations(C,B,A,D)),inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations_1]),[]).
%
% fof(a13_star_6,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),[]).
%
% cnf(140641664,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[a13_star_6]),[]).
%
% cnf(148639104,plain,(subpopulations(efficient_producers,first_movers,sk1,sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[140724584,140660728,140641664]),[]).
%
% cnf(148918312,plain,(outcompetes(first_movers,efficient_producers,sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[140724584,140743440,140738560,140695744,148639104]),[]).
%
% fof(prove_t5_star_9,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~outcompetes(first_movers,efficient_producers,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-3.tptp',unknown),[]).
%
% cnf(140757576,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~outcompetes(first_movers,efficient_producers,B)),inference(rewrite,[status(thm)],[prove_t5_star_9]),[]).
%
% cnf(148654088,plain,(~outcompetes(first_movers,efficient_producers,sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[140724584,140757576,140641664]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[148918312,148654088]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------