%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT030-1 : 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 14:01:41 EDT 2009
% Result : Unsatisfiable 0.4s
% Output : Refutation 0.4s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 68 ( 15 unt; 0 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 255 ( 118 ~; 137 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_l12_12,plain,
environment(sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173437968,plain,
environment(sk4),
inference(rewrite,[status(thm)],[prove_l12_12]),
[] ).
fof(prove_l12_13,plain,
stable(sk4),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173447040,plain,
stable(sk4),
inference(rewrite,[status(thm)],[prove_l12_13]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_1,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| in_environment(A,sk2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173294920,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| in_environment(A,sk2(A)) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_1]),
[] ).
cnf(191917304,plain,
( ~ in_environment(sk4,A)
| subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[173294920,173437968]),
[] ).
fof(l1_10,plain,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk3(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173413016,plain,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk3(A)) ),
inference(rewrite,[status(thm)],[l1_10]),
[] ).
cnf(191878584,plain,
in_environment(sk4,sk3(sk4)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173447040,173413016,173437968]),
[] ).
cnf(192126536,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[191917304,191878584]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_3,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173320536,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_3]),
[] ).
cnf(191980944,plain,
( ~ in_environment(sk4,A)
| subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[status(thm)],[173320536,173437968]),
[] ).
cnf(192201464,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[status(thm)],[191980944,191878584]),
[] ).
fof(prove_l12_15,plain,
! [A] :
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| greater(sk5(A),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173460848,plain,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| greater(sk5(A),A) ),
inference(rewrite,[status(thm)],[prove_l12_15]),
[] ).
cnf(192596648,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192126536,192201464,173460848]),
[] ).
fof(prove_l12_14,plain,
! [A] :
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173455672,plain,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ),
inference(rewrite,[status(thm)],[prove_l12_14]),
[] ).
cnf(192607576,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192126536,192201464,173455672]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_4,plain,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173341552,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_4]),
[] ).
cnf(192043472,plain,
( ~ in_environment(sk4,A)
| subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,B)
| ~ greater(B,sk2(sk4))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(resolution,[status(thm)],[173341552,173437968]),
[] ).
cnf(192233640,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,A)
| ~ greater(A,sk2(sk4))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(resolution,[status(thm)],[192043472,191878584]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_2,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| in_environment(A,sk2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173311088,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| in_environment(A,sk2(A)) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_2]),
[] ).
cnf(191904848,plain,
( ~ in_environment(sk4,A)
| greater_or_equal(sk1(A,sk4),A)
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[173311088,173437968]),
[] ).
cnf(192077960,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[191904848,191878584]),
[] ).
fof(l1_11,plain,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk3(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173433208,plain,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk3(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(rewrite,[status(thm)],[l1_11]),
[] ).
cnf(192007056,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,A)
| ~ greater_or_equal(A,sk3(sk4))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173447040,173433208,173437968]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_7,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| in_environment(A,sk2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173384440,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| in_environment(A,sk2(A)) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_7]),
[] ).
cnf(191970936,plain,
( ~ in_environment(sk4,A)
| ~ greater(growth_rate(efficient_producers,sk1(A,sk4)),growth_rate(first_movers,sk1(A,sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[173384440,173437968]),
[] ).
cnf(192195584,plain,
( ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[status(thm)],[191970936,191878584]),
[] ).
cnf(194131672,plain,
in_environment(sk4,sk2(sk4)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192077960,192126536,192007056,192195584]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_5,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173351064,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_5]),
[] ).
cnf(191945320,plain,
( ~ in_environment(sk4,A)
| greater_or_equal(sk1(A,sk4),A)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[status(thm)],[173351064,173437968]),
[] ).
cnf(192142256,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[status(thm)],[191945320,191878584]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_8,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173393904,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_8]),
[] ).
cnf(192012976,plain,
( ~ in_environment(sk4,A)
| ~ greater(growth_rate(efficient_producers,sk1(A,sk4)),growth_rate(first_movers,sk1(A,sk4)))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[status(thm)],[173393904,173437968]),
[] ).
cnf(192211288,plain,
( ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[status(thm)],[192012976,191878584]),
[] ).
cnf(195673296,plain,
~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192142256,192201464,192211288,192007056]),
[] ).
fof(prove_l12_16,plain,
! [A] :
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173470400,plain,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A))) ),
inference(rewrite,[status(thm)],[prove_l12_16]),
[] ).
cnf(195782936,plain,
~ greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[194131672,195673296,173470400]),
[] ).
cnf(197580224,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192596648,192607576,192233640,195782936]),
[] ).
cnf(192492408,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192077960,192142256,173460848]),
[] ).
cnf(192498752,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192077960,192142256,173455672]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_6,plain,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173359640,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_6]),
[] ).
cnf(192034248,plain,
( ~ in_environment(sk4,A)
| greater_or_equal(sk1(A,sk4),A)
| ~ subpopulations(first_movers,efficient_producers,sk4,B)
| ~ greater(B,sk2(sk4))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(resolution,[status(thm)],[173359640,173437968]),
[] ).
cnf(192224432,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,A)
| ~ greater(A,sk2(sk4))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(resolution,[status(thm)],[192034248,191878584]),
[] ).
cnf(197542104,plain,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192492408,192498752,192224432,195782936]),
[] ).
cnf(197680552,plain,
greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[173437968,173447040,197580224,173433208,197542104]),
[] ).
cnf(193537144,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192596648,173437968,173447040,173433208,192492408]),
[] ).
cnf(195654128,plain,
greater(sk5(sk2(sk4)),sk2(sk4)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[193537144,194131672,192211288,173460848]),
[] ).
cnf(193582880,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192607576,173437968,173447040,173433208,192498752]),
[] ).
cnf(195666200,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[192195584,193582880,192211288,173455672]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_9,plain,
! [A,B,C] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),
[] ).
cnf(173402472,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ),
inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_9]),
[] ).
cnf(192052704,plain,
( ~ in_environment(sk4,A)
| ~ greater(growth_rate(efficient_producers,sk1(A,sk4)),growth_rate(first_movers,sk1(A,sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,B)
| ~ greater(B,sk2(sk4))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(resolution,[status(thm)],[173402472,173437968]),
[] ).
cnf(192246912,plain,
( ~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,A)
| ~ greater(A,sk2(sk4))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(resolution,[status(thm)],[192052704,191878584]),
[] ).
cnf(197608176,plain,
~ greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195654128,195666200,192246912,195782936]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[197680552,197608176]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_l12_12,plain,(environment(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173437968,plain,(environment(sk4)),inference(rewrite,[status(thm)],[prove_l12_12]),[]).
%
% fof(prove_l12_13,plain,(stable(sk4)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173447040,plain,(stable(sk4)),inference(rewrite,[status(thm)],[prove_l12_13]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_1,plain,(~environment(A)|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|in_environment(A,sk2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173294920,plain,(~environment(A)|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|in_environment(A,sk2(A))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_1]),[]).
%
% cnf(191917304,plain,(~in_environment(sk4,A)|subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))|in_environment(sk4,sk2(sk4))),inference(resolution,[status(thm)],[173294920,173437968]),[]).
%
% fof(l1_10,plain,(~environment(A)|~stable(A)|in_environment(A,sk3(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173413016,plain,(~environment(A)|~stable(A)|in_environment(A,sk3(A))),inference(rewrite,[status(thm)],[l1_10]),[]).
%
% cnf(191878584,plain,(in_environment(sk4,sk3(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173447040,173413016,173437968]),[]).
%
% cnf(192126536,plain,(subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|in_environment(sk4,sk2(sk4))),inference(resolution,[status(thm)],[191917304,191878584]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_3,plain,(~environment(A)|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173320536,plain,(~environment(A)|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_3]),[]).
%
% cnf(191980944,plain,(~in_environment(sk4,A)|subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),inference(resolution,[status(thm)],[173320536,173437968]),[]).
%
% cnf(192201464,plain,(subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),inference(resolution,[status(thm)],[191980944,191878584]),[]).
%
% fof(prove_l12_15,plain,(~in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|greater(sk5(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173460848,plain,(~in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|greater(sk5(A),A)),inference(rewrite,[status(thm)],[prove_l12_15]),[]).
%
% cnf(192596648,plain,(subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|greater(sk5(sk2(sk4)),sk2(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192126536,192201464,173460848]),[]).
%
% fof(prove_l12_14,plain,(~in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|subpopulations(first_movers,efficient_producers,sk4,sk5(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173455672,plain,(~in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|subpopulations(first_movers,efficient_producers,sk4,sk5(A))),inference(rewrite,[status(thm)],[prove_l12_14]),[]).
%
% cnf(192607576,plain,(subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192126536,192201464,173455672]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_4,plain,(~environment(A)|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173341552,plain,(~environment(A)|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_4]),[]).
%
% cnf(192043472,plain,(~in_environment(sk4,A)|subpopulations(first_movers,efficient_producers,sk4,sk1(A,sk4))|~subpopulations(first_movers,efficient_producers,sk4,B)|~greater(B,sk2(sk4))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(resolution,[status(thm)],[173341552,173437968]),[]).
%
% cnf(192233640,plain,(subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|~subpopulations(first_movers,efficient_producers,sk4,A)|~greater(A,sk2(sk4))|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))),inference(resolution,[status(thm)],[192043472,191878584]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_2,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|in_environment(A,sk2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173311088,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|in_environment(A,sk2(A))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_2]),[]).
%
% cnf(191904848,plain,(~in_environment(sk4,A)|greater_or_equal(sk1(A,sk4),A)|in_environment(sk4,sk2(sk4))),inference(resolution,[status(thm)],[173311088,173437968]),[]).
%
% cnf(192077960,plain,(greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|in_environment(sk4,sk2(sk4))),inference(resolution,[status(thm)],[191904848,191878584]),[]).
%
% fof(l1_11,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater_or_equal(B,sk3(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173433208,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater_or_equal(B,sk3(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(rewrite,[status(thm)],[l1_11]),[]).
%
% cnf(192007056,plain,(~subpopulations(first_movers,efficient_producers,sk4,A)|~greater_or_equal(A,sk3(sk4))|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173447040,173433208,173437968]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_7,plain,(~environment(A)|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|in_environment(A,sk2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173384440,plain,(~environment(A)|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|in_environment(A,sk2(A))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_7]),[]).
%
% cnf(191970936,plain,(~in_environment(sk4,A)|~greater(growth_rate(efficient_producers,sk1(A,sk4)),growth_rate(first_movers,sk1(A,sk4)))|in_environment(sk4,sk2(sk4))),inference(resolution,[status(thm)],[173384440,173437968]),[]).
%
% cnf(192195584,plain,(~greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|in_environment(sk4,sk2(sk4))),inference(resolution,[status(thm)],[191970936,191878584]),[]).
%
% cnf(194131672,plain,(in_environment(sk4,sk2(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192077960,192126536,192007056,192195584]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_5,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173351064,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_5]),[]).
%
% cnf(191945320,plain,(~in_environment(sk4,A)|greater_or_equal(sk1(A,sk4),A)|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),inference(resolution,[status(thm)],[173351064,173437968]),[]).
%
% cnf(192142256,plain,(greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),inference(resolution,[status(thm)],[191945320,191878584]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_8,plain,(~environment(A)|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173393904,plain,(~environment(A)|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_8]),[]).
%
% cnf(192012976,plain,(~in_environment(sk4,A)|~greater(growth_rate(efficient_producers,sk1(A,sk4)),growth_rate(first_movers,sk1(A,sk4)))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),inference(resolution,[status(thm)],[173393904,173437968]),[]).
%
% cnf(192211288,plain,(~greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),inference(resolution,[status(thm)],[192012976,191878584]),[]).
%
% cnf(195673296,plain,(~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192142256,192201464,192211288,192007056]),[]).
%
% fof(prove_l12_16,plain,(~in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|~greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173470400,plain,(~in_environment(sk4,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|~greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A)))),inference(rewrite,[status(thm)],[prove_l12_16]),[]).
%
% cnf(195782936,plain,(~greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[194131672,195673296,173470400]),[]).
%
% cnf(197580224,plain,(subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192596648,192607576,192233640,195782936]),[]).
%
% cnf(192492408,plain,(greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(sk5(sk2(sk4)),sk2(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192077960,192142256,173460848]),[]).
%
% cnf(192498752,plain,(greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192077960,192142256,173455672]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_6,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173359640,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_6]),[]).
%
% cnf(192034248,plain,(~in_environment(sk4,A)|greater_or_equal(sk1(A,sk4),A)|~subpopulations(first_movers,efficient_producers,sk4,B)|~greater(B,sk2(sk4))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(resolution,[status(thm)],[173359640,173437968]),[]).
%
% cnf(192224432,plain,(greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|~subpopulations(first_movers,efficient_producers,sk4,A)|~greater(A,sk2(sk4))|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))),inference(resolution,[status(thm)],[192034248,191878584]),[]).
%
% cnf(197542104,plain,(greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192492408,192498752,192224432,195782936]),[]).
%
% cnf(197680552,plain,(greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[173437968,173447040,197580224,173433208,197542104]),[]).
%
% cnf(193537144,plain,(greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|greater(sk5(sk2(sk4)),sk2(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192596648,173437968,173447040,173433208,192492408]),[]).
%
% cnf(195654128,plain,(greater(sk5(sk2(sk4)),sk2(sk4))),inference(forward_subsumption_resolution__resolution,[status(thm)],[193537144,194131672,192211288,173460848]),[]).
%
% cnf(193582880,plain,(greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192607576,173437968,173447040,173433208,192498752]),[]).
%
% cnf(195666200,plain,(subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[192195584,193582880,192211288,173455672]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_9,plain,(~environment(A)|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT030-1.tptp',unknown),[]).
%
% cnf(173402472,plain,(~environment(A)|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_9]),[]).
%
% cnf(192052704,plain,(~in_environment(sk4,A)|~greater(growth_rate(efficient_producers,sk1(A,sk4)),growth_rate(first_movers,sk1(A,sk4)))|~subpopulations(first_movers,efficient_producers,sk4,B)|~greater(B,sk2(sk4))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(resolution,[status(thm)],[173402472,173437968]),[]).
%
% cnf(192246912,plain,(~greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|~subpopulations(first_movers,efficient_producers,sk4,A)|~greater(A,sk2(sk4))|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))),inference(resolution,[status(thm)],[192052704,191878584]),[]).
%
% cnf(197608176,plain,(~greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[195654128,195666200,192246912,195782936]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[197680552,197608176]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------