TSTP Solution File: MGT023-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT023-2 : 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 14:01:01 EDT 2009
% Result : Unsatisfiable 0.9s
% Output : Refutation 0.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 74 ( 14 unt; 0 def)
% Number of atoms : 244 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 302 ( 132 ~; 170 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp_earliest_time_growth_rate_exceeds_20,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/MGT023-2.tptp',unknown),
[] ).
cnf(168177432,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_20]),
[] ).
fof(prove_l5_33,plain,
environment(sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168384208,plain,
environment(sk5),
inference(rewrite,[status(thm)],[prove_l5_33]),
[] ).
cnf(181584336,plain,
( ~ in_environment(sk5,A)
| greater_or_equal(sk1(A,sk5),A)
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[status(thm)],[168177432,168384208]),
[] ).
fof(prove_l5_34,plain,
stable(sk5),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168389240,plain,
stable(sk5),
inference(rewrite,[status(thm)],[prove_l5_34]),
[] ).
fof(l1_31,plain,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk4(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168350936,plain,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk4(A)) ),
inference(rewrite,[status(thm)],[l1_31]),
[] ).
cnf(181548336,plain,
in_environment(sk5,sk4(sk5)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168389240,168350936,168384208]),
[] ).
cnf(181828120,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[status(thm)],[181584336,181548336]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_19,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/MGT023-2.tptp',unknown),
[] ).
cnf(168161168,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_19]),
[] ).
cnf(181598560,plain,
( ~ in_environment(sk5,A)
| subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[status(thm)],[168161168,168384208]),
[] ).
cnf(181843912,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[status(thm)],[181598560,181548336]),
[] ).
fof(l1_32,plain,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk4(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168379384,plain,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk4(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(rewrite,[status(thm)],[l1_32]),
[] ).
cnf(181718552,plain,
( ~ subpopulations(first_movers,efficient_producers,sk5,A)
| ~ greater_or_equal(A,sk4(sk5))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168389240,168379384,168384208]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_25,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/MGT023-2.tptp',unknown),
[] ).
cnf(168270744,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_25]),
[] ).
cnf(181652304,plain,
( ~ in_environment(sk5,A)
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[status(thm)],[168270744,168384208]),
[] ).
cnf(181879432,plain,
( ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[status(thm)],[181652304,181548336]),
[] ).
cnf(183449816,plain,
in_environment(sk5,sk2(sk5)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181828120,181843912,181718552,181879432]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_23,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/MGT023-2.tptp',unknown),
[] ).
cnf(168233152,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_23]),
[] ).
cnf(181626616,plain,
( ~ in_environment(sk5,A)
| greater_or_equal(sk1(A,sk5),A)
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[status(thm)],[168233152,168384208]),
[] ).
cnf(181849840,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[status(thm)],[181626616,181548336]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_21,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/MGT023-2.tptp',unknown),
[] ).
cnf(168186944,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_21]),
[] ).
cnf(181662472,plain,
( ~ in_environment(sk5,A)
| subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[status(thm)],[168186944,168384208]),
[] ).
cnf(181889488,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[status(thm)],[181662472,181548336]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_26,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/MGT023-2.tptp',unknown),
[] ).
cnf(168276184,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_26]),
[] ).
cnf(181737048,plain,
( ~ in_environment(sk5,A)
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[status(thm)],[168276184,168384208]),
[] ).
cnf(181949072,plain,
( ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[status(thm)],[181737048,181548336]),
[] ).
cnf(184919168,plain,
~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181849840,181889488,181949072,181718552]),
[] ).
fof(d1_30,plain,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))
| $equal(critical_point(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168344512,plain,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1_30]),
[] ).
cnf(185767088,plain,
( ~ greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| $equal(critical_point(sk5),sk2(sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168384208,184919168,168344512,183449816]),
[] ).
fof(prove_l5_35,plain,
~ in_environment(sk5,critical_point(sk5)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168398472,plain,
~ in_environment(sk5,critical_point(sk5)),
inference(rewrite,[status(thm)],[prove_l5_35]),
[] ).
cnf(190381184,plain,
~ greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[183449816,185767088,168398472,theory(equality)]),
[] ).
fof(d1_29,plain,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk3(B,A),B)
| $equal(critical_point(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168315088,plain,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk3(B,A),B)
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1_29]),
[] ).
cnf(181687944,plain,
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ in_environment(sk5,A)
| greater(sk3(A,sk5),A)
| $equal(critical_point(sk5),A) ),
inference(resolution,[status(thm)],[168315088,168384208]),
[] ).
cnf(182667288,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| $equal(critical_point(sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181828120,181687944,181849840]),
[] ).
cnf(182720328,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| $equal(critical_point(sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181843912,181687944,181889488]),
[] ).
cnf(184092112,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| $equal(critical_point(sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182667288,182720328,181718552]),
[] ).
cnf(184936504,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| $equal(critical_point(sk5),sk2(sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184092112,183449816,181949072,181687944]),
[] ).
cnf(185056336,plain,
greater(sk3(sk2(sk5),sk5),sk2(sk5)),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[183449816,184936504,168398472,theory(equality)]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_22,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/MGT023-2.tptp',unknown),
[] ).
cnf(168223576,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_22]),
[] ).
cnf(181797592,plain,
( ~ in_environment(sk5,A)
| subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,B)
| ~ greater(B,sk2(sk5))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(resolution,[status(thm)],[168223576,168384208]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_27,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/MGT023-2.tptp',unknown),
[] ).
cnf(168284816,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_27]),
[] ).
cnf(181806888,plain,
( ~ in_environment(sk5,A)
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,B)
| ~ greater(B,sk2(sk5))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(resolution,[status(thm)],[168284816,168384208]),
[] ).
cnf(192517800,plain,
( ~ in_environment(sk5,A)
| ~ subpopulations(first_movers,efficient_producers,sk5,B)
| ~ greater(B,sk2(sk5))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(C)
| ~ stable(C)
| ~ subpopulations(first_movers,efficient_producers,C,sk1(A,sk5))
| ~ greater_or_equal(sk1(A,sk5),sk4(C)) ),
inference(resolution,[status(thm)],[181806888,168379384]),
[] ).
fof(d1_28,plain,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk3(B,A))
| $equal(critical_point(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),
[] ).
cnf(168298968,plain,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk3(B,A))
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1_28]),
[] ).
cnf(181731112,plain,
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ in_environment(sk5,A)
| subpopulations(first_movers,efficient_producers,sk5,sk3(A,sk5))
| $equal(critical_point(sk5),A) ),
inference(resolution,[status(thm)],[168298968,168384208]),
[] ).
cnf(183978296,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| $equal(critical_point(sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181828120,181731112,181849840]),
[] ).
fof(mp_earliest_time_growth_rate_exceeds_24,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/MGT023-2.tptp',unknown),
[] ).
cnf(168241792,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_24]),
[] ).
cnf(181758568,plain,
( ~ in_environment(sk5,A)
| greater_or_equal(sk1(A,sk5),A)
| ~ subpopulations(first_movers,efficient_producers,sk5,B)
| ~ greater(B,sk2(sk5))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(resolution,[status(thm)],[168241792,168384208]),
[] ).
cnf(181962416,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,A)
| ~ greater(A,sk2(sk5))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(resolution,[status(thm)],[181758568,181548336]),
[] ).
cnf(187673944,plain,
( $equal(critical_point(sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[183978296,184936504,181962416]),
[] ).
cnf(189131000,plain,
( $equal(critical_point(sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[187673944,181849840,168384208,168344512,181828120]),
[] ).
cnf(189675552,plain,
greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[181828120,189131000,168398472,theory(equality)]),
[] ).
cnf(194194120,plain,
( ~ subpopulations(first_movers,efficient_producers,sk5,A)
| ~ greater(A,sk2(sk5))
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181797592,168384208,181548336,168389240,192517800,189675552]),
[] ).
cnf(183998472,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| $equal(critical_point(sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[181843912,181731112,181889488]),
[] ).
cnf(184732608,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| $equal(critical_point(sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[183998472,183978296,181718552]),
[] ).
cnf(184941912,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| $equal(critical_point(sk5),sk2(sk5)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[184732608,183449816,181949072,181731112]),
[] ).
cnf(185179112,plain,
subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)),
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[183449816,184941912,168398472,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[190381184,185056336,194194120,185179112]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(mp_earliest_time_growth_rate_exceeds_20,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168177432,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_20]),[]).
%
% fof(prove_l5_33,plain,(environment(sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168384208,plain,(environment(sk5)),inference(rewrite,[status(thm)],[prove_l5_33]),[]).
%
% cnf(181584336,plain,(~in_environment(sk5,A)|greater_or_equal(sk1(A,sk5),A)|in_environment(sk5,sk2(sk5))),inference(resolution,[status(thm)],[168177432,168384208]),[]).
%
% fof(prove_l5_34,plain,(stable(sk5)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168389240,plain,(stable(sk5)),inference(rewrite,[status(thm)],[prove_l5_34]),[]).
%
% fof(l1_31,plain,(~environment(A)|~stable(A)|in_environment(A,sk4(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168350936,plain,(~environment(A)|~stable(A)|in_environment(A,sk4(A))),inference(rewrite,[status(thm)],[l1_31]),[]).
%
% cnf(181548336,plain,(in_environment(sk5,sk4(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168389240,168350936,168384208]),[]).
%
% cnf(181828120,plain,(greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|in_environment(sk5,sk2(sk5))),inference(resolution,[status(thm)],[181584336,181548336]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_19,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168161168,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_19]),[]).
%
% cnf(181598560,plain,(~in_environment(sk5,A)|subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))|in_environment(sk5,sk2(sk5))),inference(resolution,[status(thm)],[168161168,168384208]),[]).
%
% cnf(181843912,plain,(subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|in_environment(sk5,sk2(sk5))),inference(resolution,[status(thm)],[181598560,181548336]),[]).
%
% fof(l1_32,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater_or_equal(B,sk4(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168379384,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater_or_equal(B,sk4(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(rewrite,[status(thm)],[l1_32]),[]).
%
% cnf(181718552,plain,(~subpopulations(first_movers,efficient_producers,sk5,A)|~greater_or_equal(A,sk4(sk5))|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168389240,168379384,168384208]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_25,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168270744,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_25]),[]).
%
% cnf(181652304,plain,(~in_environment(sk5,A)|~greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))|in_environment(sk5,sk2(sk5))),inference(resolution,[status(thm)],[168270744,168384208]),[]).
%
% cnf(181879432,plain,(~greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|in_environment(sk5,sk2(sk5))),inference(resolution,[status(thm)],[181652304,181548336]),[]).
%
% cnf(183449816,plain,(in_environment(sk5,sk2(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181828120,181843912,181718552,181879432]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_23,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168233152,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_23]),[]).
%
% cnf(181626616,plain,(~in_environment(sk5,A)|greater_or_equal(sk1(A,sk5),A)|~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),inference(resolution,[status(thm)],[168233152,168384208]),[]).
%
% cnf(181849840,plain,(greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),inference(resolution,[status(thm)],[181626616,181548336]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_21,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168186944,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_21]),[]).
%
% cnf(181662472,plain,(~in_environment(sk5,A)|subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))|~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),inference(resolution,[status(thm)],[168186944,168384208]),[]).
%
% cnf(181889488,plain,(subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),inference(resolution,[status(thm)],[181662472,181548336]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_26,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168276184,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_26]),[]).
%
% cnf(181737048,plain,(~in_environment(sk5,A)|~greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))|~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),inference(resolution,[status(thm)],[168276184,168384208]),[]).
%
% cnf(181949072,plain,(~greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),inference(resolution,[status(thm)],[181737048,181548336]),[]).
%
% cnf(184919168,plain,(~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181849840,181889488,181949072,181718552]),[]).
%
% fof(d1_30,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))|$equal(critical_point(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168344512,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1_30]),[]).
%
% cnf(185767088,plain,(~greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|$equal(critical_point(sk5),sk2(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168384208,184919168,168344512,183449816]),[]).
%
% fof(prove_l5_35,plain,(~in_environment(sk5,critical_point(sk5))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168398472,plain,(~in_environment(sk5,critical_point(sk5))),inference(rewrite,[status(thm)],[prove_l5_35]),[]).
%
% cnf(190381184,plain,(~greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[183449816,185767088,168398472,theory(equality)]),[]).
%
% fof(d1_29,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|greater(sk3(B,A),B)|$equal(critical_point(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168315088,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|greater(sk3(B,A),B)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1_29]),[]).
%
% cnf(181687944,plain,(greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|~in_environment(sk5,A)|greater(sk3(A,sk5),A)|$equal(critical_point(sk5),A)),inference(resolution,[status(thm)],[168315088,168384208]),[]).
%
% cnf(182667288,plain,(greater(sk3(sk2(sk5),sk5),sk2(sk5))|$equal(critical_point(sk5),sk2(sk5))|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181828120,181687944,181849840]),[]).
%
% cnf(182720328,plain,(greater(sk3(sk2(sk5),sk5),sk2(sk5))|$equal(critical_point(sk5),sk2(sk5))|subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181843912,181687944,181889488]),[]).
%
% cnf(184092112,plain,(greater(sk3(sk2(sk5),sk5),sk2(sk5))|$equal(critical_point(sk5),sk2(sk5))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[182667288,182720328,181718552]),[]).
%
% cnf(184936504,plain,(greater(sk3(sk2(sk5),sk5),sk2(sk5))|$equal(critical_point(sk5),sk2(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[184092112,183449816,181949072,181687944]),[]).
%
% cnf(185056336,plain,(greater(sk3(sk2(sk5),sk5),sk2(sk5))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[183449816,184936504,168398472,theory(equality)]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_22,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168223576,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_22]),[]).
%
% cnf(181797592,plain,(~in_environment(sk5,A)|subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))|~subpopulations(first_movers,efficient_producers,sk5,B)|~greater(B,sk2(sk5))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(resolution,[status(thm)],[168223576,168384208]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_27,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/MGT023-2.tptp',unknown),[]).
%
% cnf(168284816,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_27]),[]).
%
% cnf(181806888,plain,(~in_environment(sk5,A)|~greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))|~subpopulations(first_movers,efficient_producers,sk5,B)|~greater(B,sk2(sk5))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(resolution,[status(thm)],[168284816,168384208]),[]).
%
% cnf(192517800,plain,(~in_environment(sk5,A)|~subpopulations(first_movers,efficient_producers,sk5,B)|~greater(B,sk2(sk5))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(C)|~stable(C)|~subpopulations(first_movers,efficient_producers,C,sk1(A,sk5))|~greater_or_equal(sk1(A,sk5),sk4(C))),inference(resolution,[status(thm)],[181806888,168379384]),[]).
%
% fof(d1_28,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk3(B,A))|$equal(critical_point(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168298968,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk3(B,A))|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1_28]),[]).
%
% cnf(181731112,plain,(greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|~in_environment(sk5,A)|subpopulations(first_movers,efficient_producers,sk5,sk3(A,sk5))|$equal(critical_point(sk5),A)),inference(resolution,[status(thm)],[168298968,168384208]),[]).
%
% cnf(183978296,plain,(subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|$equal(critical_point(sk5),sk2(sk5))|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181828120,181731112,181849840]),[]).
%
% fof(mp_earliest_time_growth_rate_exceeds_24,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-2.tptp',unknown),[]).
%
% cnf(168241792,plain,(~environment(A)|~in_environment(A,B)|greater_or_equal(sk1(B,A),B)|~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,sk2(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))),inference(rewrite,[status(thm)],[mp_earliest_time_growth_rate_exceeds_24]),[]).
%
% cnf(181758568,plain,(~in_environment(sk5,A)|greater_or_equal(sk1(A,sk5),A)|~subpopulations(first_movers,efficient_producers,sk5,B)|~greater(B,sk2(sk5))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(resolution,[status(thm)],[168241792,168384208]),[]).
%
% cnf(181962416,plain,(greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|~subpopulations(first_movers,efficient_producers,sk5,A)|~greater(A,sk2(sk5))|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))),inference(resolution,[status(thm)],[181758568,181548336]),[]).
%
% cnf(187673944,plain,($equal(critical_point(sk5),sk2(sk5))|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[183978296,184936504,181962416]),[]).
%
% cnf(189131000,plain,($equal(critical_point(sk5),sk2(sk5))|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[187673944,181849840,168384208,168344512,181828120]),[]).
%
% cnf(189675552,plain,(greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[181828120,189131000,168398472,theory(equality)]),[]).
%
% cnf(194194120,plain,(~subpopulations(first_movers,efficient_producers,sk5,A)|~greater(A,sk2(sk5))|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181797592,168384208,181548336,168389240,192517800,189675552]),[]).
%
% cnf(183998472,plain,(subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|$equal(critical_point(sk5),sk2(sk5))|subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[181843912,181731112,181889488]),[]).
%
% cnf(184732608,plain,(subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|$equal(critical_point(sk5),sk2(sk5))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[183998472,183978296,181718552]),[]).
%
% cnf(184941912,plain,(subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|$equal(critical_point(sk5),sk2(sk5))),inference(forward_subsumption_resolution__resolution,[status(thm)],[184732608,183449816,181949072,181731112]),[]).
%
% cnf(185179112,plain,(subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))),inference(forward_subsumption_resolution__paramodulation,[status(thm)],[183449816,184941912,168398472,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[190381184,185056336,194194120,185179112]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------