TSTP Solution File: MGT024-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT024-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 14:01:06 EDT 2009
% Result : Unsatisfiable 1.2s
% Output : Refutation 1.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 74 ( 17 unt; 0 def)
% Number of atoms : 246 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 290 ( 118 ~; 172 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(mp_time_point_occur_24,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/MGT024-1.tptp',unknown),
[] ).
cnf(168651368,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
inference(rewrite,[status(thm)],[mp_time_point_occur_24]),
[] ).
fof(prove_l6_39,plain,
environment(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168644432,plain,
environment(sk1),
inference(rewrite,[status(thm)],[prove_l6_39]),
[] ).
cnf(189973088,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| in_environment(sk1,A) ),
inference(resolution,[status(thm)],[168651368,168644432]),
[] ).
fof(prove_l6_40,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168820936,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(rewrite,[status(thm)],[prove_l6_40]),
[] ).
cnf(190185672,plain,
in_environment(sk1,sk2),
inference(resolution,[status(thm)],[189973088,168820936]),
[] ).
fof(a6_30,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ constant(resources(A,B))
| constant(number_of_organizations(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168720720,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ constant(resources(A,B))
| constant(number_of_organizations(A,B)) ),
inference(rewrite,[status(thm)],[a6_30]),
[] ).
cnf(190046608,plain,
( ~ in_environment(sk1,A)
| ~ constant(resources(sk1,A))
| constant(number_of_organizations(sk1,A)) ),
inference(resolution,[status(thm)],[168720720,168644432]),
[] ).
fof(mp_equilibrium_26,plain,
! [A,B] :
( ~ environment(A)
| ~ greater_or_equal(B,equilibrium(A))
| ~ greater(equilibrium(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168681048,plain,
( ~ environment(A)
| ~ greater_or_equal(B,equilibrium(A))
| ~ greater(equilibrium(A),B) ),
inference(rewrite,[status(thm)],[mp_equilibrium_26]),
[] ).
cnf(189998664,plain,
( ~ greater_or_equal(A,equilibrium(sk1))
| ~ greater(equilibrium(sk1),A) ),
inference(resolution,[status(thm)],[168681048,168644432]),
[] ).
fof(prove_l6_41,plain,
greater_or_equal(sk2,equilibrium(sk1)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168830144,plain,
greater_or_equal(sk2,equilibrium(sk1)),
inference(rewrite,[status(thm)],[prove_l6_41]),
[] ).
cnf(190170864,plain,
~ greater(equilibrium(sk1),sk2),
inference(resolution,[status(thm)],[189998664,168830144]),
[] ).
fof(mp_positive_number_of_organizations_25,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/MGT024-1.tptp',unknown),
[] ).
cnf(168656976,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ),
inference(rewrite,[status(thm)],[mp_positive_number_of_organizations_25]),
[] ).
cnf(190013656,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| greater(number_of_organizations(sk1,A),zero) ),
inference(resolution,[status(thm)],[168656976,168644432]),
[] ).
cnf(190200448,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(resolution,[status(thm)],[190013656,168820936]),
[] ).
fof(a3_28,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(equilibrium(A),B)
| constant(resources(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168702736,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(equilibrium(A),B)
| constant(resources(A,B)) ),
inference(rewrite,[status(thm)],[a3_28]),
[] ).
cnf(190086712,plain,
( ~ in_environment(sk1,A)
| ~ greater(number_of_organizations(sk1,A),zero)
| greater(equilibrium(sk1),A)
| constant(resources(sk1,A)) ),
inference(resolution,[status(thm)],[168702736,168644432]),
[] ).
cnf(190317176,plain,
constant(resources(sk1,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190170864,190200448,190086712,190185672]),
[] ).
cnf(190323064,plain,
constant(number_of_organizations(sk1,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190185672,190046608,190317176]),
[] ).
fof(l7_33,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168779072,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
inference(rewrite,[status(thm)],[l7_33]),
[] ).
cnf(190125288,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(number_of_organizations(sk1,A))
| $equal(growth_rate(first_movers,A),zero)
| greater(zero,growth_rate(efficient_producers,A))
| greater(growth_rate(efficient_producers,A),zero) ),
inference(resolution,[status(thm)],[168779072,168644432]),
[] ).
cnf(190235056,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[status(thm)],[190125288,168820936]),
[] ).
fof(l7_31,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168756040,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
inference(rewrite,[status(thm)],[l7_31]),
[] ).
cnf(190113640,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(number_of_organizations(sk1,A))
| $equal(growth_rate(first_movers,A),zero)
| greater(growth_rate(first_movers,A),zero)
| greater(growth_rate(efficient_producers,A),zero) ),
inference(resolution,[status(thm)],[168756040,168644432]),
[] ).
cnf(190219464,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[status(thm)],[190113640,168820936]),
[] ).
fof(prove_l6_43,plain,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168848136,plain,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(rewrite,[status(thm)],[prove_l6_43]),
[] ).
cnf(193232624,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190235056,190219464,168848136]),
[] ).
fof(prove_l6_44,plain,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168854360,plain,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
inference(rewrite,[status(thm)],[prove_l6_44]),
[] ).
cnf(194821936,plain,
( $equal(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190323064,193232624,168854360]),
[] ).
cnf(190488544,plain,
( ~ in_environment(sk1,A)
| ~ greater(number_of_organizations(sk1,A),zero)
| greater(equilibrium(sk1),A)
| constant(number_of_organizations(sk1,A)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[168644432,168702736,190046608]),
[] ).
fof(l7_34,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168783560,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ),
inference(rewrite,[status(thm)],[l7_34]),
[] ).
cnf(190134424,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(number_of_organizations(sk1,A))
| $equal(growth_rate(first_movers,A),zero)
| greater(zero,growth_rate(efficient_producers,A))
| greater(zero,growth_rate(first_movers,A)) ),
inference(resolution,[status(thm)],[168783560,168644432]),
[] ).
cnf(190239968,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[190134424,168820936]),
[] ).
fof(l7_32,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168769112,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(first_movers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
inference(rewrite,[status(thm)],[l7_32]),
[] ).
cnf(190118944,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(number_of_organizations(sk1,A))
| $equal(growth_rate(first_movers,A),zero)
| greater(growth_rate(first_movers,A),zero)
| greater(zero,growth_rate(first_movers,A)) ),
inference(resolution,[status(thm)],[168769112,168644432]),
[] ).
cnf(190228800,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[190118944,168820936]),
[] ).
cnf(195622136,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190239968,168848136,190228800]),
[] ).
cnf(195864048,plain,
$equal(growth_rate(first_movers,sk2),zero),
inference(forward_subsumption_resolution__resolution,[status(thm)],[194821936,190170864,190200448,190185672,190488544,195622136]),
[] ).
fof(l7_35,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168793992,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ),
inference(rewrite,[status(thm)],[l7_35]),
[] ).
cnf(190142224,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(number_of_organizations(sk1,A))
| $equal(growth_rate(efficient_producers,A),zero)
| greater(growth_rate(first_movers,A),zero)
| greater(growth_rate(efficient_producers,A),zero) ),
inference(resolution,[status(thm)],[168793992,168644432]),
[] ).
cnf(190247672,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[status(thm)],[190142224,168820936]),
[] ).
fof(prove_l6_42,plain,
( ~ $equal(growth_rate(first_movers,sk2),zero)
| ~ $equal(growth_rate(efficient_producers,sk2),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168837000,plain,
( ~ $equal(growth_rate(first_movers,sk2),zero)
| ~ $equal(growth_rate(efficient_producers,sk2),zero) ),
inference(rewrite,[status(thm)],[prove_l6_42]),
[] ).
cnf(193227776,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190247672,190219464,168837000]),
[] ).
cnf(194235272,plain,
( greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[status(thm)],[193227776,190323064]),
[] ).
fof(l7_36,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168802184,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(efficient_producers,B),zero)
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ),
inference(rewrite,[status(thm)],[l7_36]),
[] ).
cnf(190146880,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(number_of_organizations(sk1,A))
| $equal(growth_rate(efficient_producers,A),zero)
| greater(growth_rate(first_movers,A),zero)
| greater(zero,growth_rate(first_movers,A)) ),
inference(resolution,[status(thm)],[168802184,168644432]),
[] ).
cnf(190252384,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[status(thm)],[190146880,168820936]),
[] ).
cnf(195617952,plain,
( greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190252384,190323064,168837000,190228800]),
[] ).
cnf(195689728,plain,
greater(growth_rate(first_movers,sk2),zero),
inference(forward_subsumption_resolution__resolution,[status(thm)],[194235272,168854360,195617952]),
[] ).
cnf(192588032,plain,
greater(zero,zero),
inference(paramodulation,[status(thm)],[195864048,195689728,theory(equality)]),
[] ).
cnf(195721648,plain,
~ greater(zero,growth_rate(efficient_producers,sk2)),
inference(resolution,[status(thm)],[168848136,195689728]),
[] ).
fof(l7_37,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),
[] ).
cnf(168807528,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| $equal(growth_rate(efficient_producers,B),zero)
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ),
inference(rewrite,[status(thm)],[l7_37]),
[] ).
cnf(190152888,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(number_of_organizations(sk1,A))
| $equal(growth_rate(efficient_producers,A),zero)
| greater(zero,growth_rate(efficient_producers,A))
| greater(growth_rate(efficient_producers,A),zero) ),
inference(resolution,[status(thm)],[168807528,168644432]),
[] ).
cnf(190258392,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| $equal(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[status(thm)],[190152888,168820936]),
[] ).
cnf(196265096,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[190258392,190323064,168837000,190235056]),
[] ).
cnf(196326824,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[195721648,168854360,196265096]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[192588032,195864048,196326824,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(mp_time_point_occur_24,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168651368,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_time_point_occur_24]),[]).
%
% fof(prove_l6_39,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168644432,plain,(environment(sk1)),inference(rewrite,[status(thm)],[prove_l6_39]),[]).
%
% cnf(189973088,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|in_environment(sk1,A)),inference(resolution,[status(thm)],[168651368,168644432]),[]).
%
% fof(prove_l6_40,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168820936,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[prove_l6_40]),[]).
%
% cnf(190185672,plain,(in_environment(sk1,sk2)),inference(resolution,[status(thm)],[189973088,168820936]),[]).
%
% fof(a6_30,plain,(~environment(A)|~in_environment(A,B)|~constant(resources(A,B))|constant(number_of_organizations(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168720720,plain,(~environment(A)|~in_environment(A,B)|~constant(resources(A,B))|constant(number_of_organizations(A,B))),inference(rewrite,[status(thm)],[a6_30]),[]).
%
% cnf(190046608,plain,(~in_environment(sk1,A)|~constant(resources(sk1,A))|constant(number_of_organizations(sk1,A))),inference(resolution,[status(thm)],[168720720,168644432]),[]).
%
% fof(mp_equilibrium_26,plain,(~environment(A)|~greater_or_equal(B,equilibrium(A))|~greater(equilibrium(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168681048,plain,(~environment(A)|~greater_or_equal(B,equilibrium(A))|~greater(equilibrium(A),B)),inference(rewrite,[status(thm)],[mp_equilibrium_26]),[]).
%
% cnf(189998664,plain,(~greater_or_equal(A,equilibrium(sk1))|~greater(equilibrium(sk1),A)),inference(resolution,[status(thm)],[168681048,168644432]),[]).
%
% fof(prove_l6_41,plain,(greater_or_equal(sk2,equilibrium(sk1))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168830144,plain,(greater_or_equal(sk2,equilibrium(sk1))),inference(rewrite,[status(thm)],[prove_l6_41]),[]).
%
% cnf(190170864,plain,(~greater(equilibrium(sk1),sk2)),inference(resolution,[status(thm)],[189998664,168830144]),[]).
%
% fof(mp_positive_number_of_organizations_25,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/MGT024-1.tptp',unknown),[]).
%
% cnf(168656976,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|greater(number_of_organizations(A,B),zero)),inference(rewrite,[status(thm)],[mp_positive_number_of_organizations_25]),[]).
%
% cnf(190013656,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|greater(number_of_organizations(sk1,A),zero)),inference(resolution,[status(thm)],[168656976,168644432]),[]).
%
% cnf(190200448,plain,(greater(number_of_organizations(sk1,sk2),zero)),inference(resolution,[status(thm)],[190013656,168820936]),[]).
%
% fof(a3_28,plain,(~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero)|greater(equilibrium(A),B)|constant(resources(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168702736,plain,(~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero)|greater(equilibrium(A),B)|constant(resources(A,B))),inference(rewrite,[status(thm)],[a3_28]),[]).
%
% cnf(190086712,plain,(~in_environment(sk1,A)|~greater(number_of_organizations(sk1,A),zero)|greater(equilibrium(sk1),A)|constant(resources(sk1,A))),inference(resolution,[status(thm)],[168702736,168644432]),[]).
%
% cnf(190317176,plain,(constant(resources(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[190170864,190200448,190086712,190185672]),[]).
%
% cnf(190323064,plain,(constant(number_of_organizations(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[190185672,190046608,190317176]),[]).
%
% fof(l7_33,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(efficient_producers,B))|greater(growth_rate(efficient_producers,B),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168779072,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(efficient_producers,B))|greater(growth_rate(efficient_producers,B),zero)),inference(rewrite,[status(thm)],[l7_33]),[]).
%
% cnf(190125288,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(number_of_organizations(sk1,A))|$equal(growth_rate(first_movers,A),zero)|greater(zero,growth_rate(efficient_producers,A))|greater(growth_rate(efficient_producers,A),zero)),inference(resolution,[status(thm)],[168779072,168644432]),[]).
%
% cnf(190235056,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(first_movers,sk2),zero)|greater(zero,growth_rate(efficient_producers,sk2))|greater(growth_rate(efficient_producers,sk2),zero)),inference(resolution,[status(thm)],[190125288,168820936]),[]).
%
% fof(l7_31,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(growth_rate(efficient_producers,B),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168756040,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(growth_rate(efficient_producers,B),zero)),inference(rewrite,[status(thm)],[l7_31]),[]).
%
% cnf(190113640,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(number_of_organizations(sk1,A))|$equal(growth_rate(first_movers,A),zero)|greater(growth_rate(first_movers,A),zero)|greater(growth_rate(efficient_producers,A),zero)),inference(resolution,[status(thm)],[168756040,168644432]),[]).
%
% cnf(190219464,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(first_movers,sk2),zero)|greater(growth_rate(first_movers,sk2),zero)|greater(growth_rate(efficient_producers,sk2),zero)),inference(resolution,[status(thm)],[190113640,168820936]),[]).
%
% fof(prove_l6_43,plain,(~greater(growth_rate(first_movers,sk2),zero)|~greater(zero,growth_rate(efficient_producers,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168848136,plain,(~greater(growth_rate(first_movers,sk2),zero)|~greater(zero,growth_rate(efficient_producers,sk2))),inference(rewrite,[status(thm)],[prove_l6_43]),[]).
%
% cnf(193232624,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(first_movers,sk2),zero)|greater(growth_rate(efficient_producers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[190235056,190219464,168848136]),[]).
%
% fof(prove_l6_44,plain,(~greater(growth_rate(efficient_producers,sk2),zero)|~greater(zero,growth_rate(first_movers,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168854360,plain,(~greater(growth_rate(efficient_producers,sk2),zero)|~greater(zero,growth_rate(first_movers,sk2))),inference(rewrite,[status(thm)],[prove_l6_44]),[]).
%
% cnf(194821936,plain,($equal(growth_rate(first_movers,sk2),zero)|~greater(zero,growth_rate(first_movers,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[190323064,193232624,168854360]),[]).
%
% cnf(190488544,plain,(~in_environment(sk1,A)|~greater(number_of_organizations(sk1,A),zero)|greater(equilibrium(sk1),A)|constant(number_of_organizations(sk1,A))),inference(forward_subsumption_resolution__resolution,[status(thm)],[168644432,168702736,190046608]),[]).
%
% fof(l7_34,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(efficient_producers,B))|greater(zero,growth_rate(first_movers,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168783560,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(efficient_producers,B))|greater(zero,growth_rate(first_movers,B))),inference(rewrite,[status(thm)],[l7_34]),[]).
%
% cnf(190134424,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(number_of_organizations(sk1,A))|$equal(growth_rate(first_movers,A),zero)|greater(zero,growth_rate(efficient_producers,A))|greater(zero,growth_rate(first_movers,A))),inference(resolution,[status(thm)],[168783560,168644432]),[]).
%
% cnf(190239968,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(first_movers,sk2),zero)|greater(zero,growth_rate(efficient_producers,sk2))|greater(zero,growth_rate(first_movers,sk2))),inference(resolution,[status(thm)],[190134424,168820936]),[]).
%
% fof(l7_32,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(first_movers,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168769112,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(first_movers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(first_movers,B))),inference(rewrite,[status(thm)],[l7_32]),[]).
%
% cnf(190118944,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(number_of_organizations(sk1,A))|$equal(growth_rate(first_movers,A),zero)|greater(growth_rate(first_movers,A),zero)|greater(zero,growth_rate(first_movers,A))),inference(resolution,[status(thm)],[168769112,168644432]),[]).
%
% cnf(190228800,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(first_movers,sk2),zero)|greater(growth_rate(first_movers,sk2),zero)|greater(zero,growth_rate(first_movers,sk2))),inference(resolution,[status(thm)],[190118944,168820936]),[]).
%
% cnf(195622136,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(first_movers,sk2),zero)|greater(zero,growth_rate(first_movers,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[190239968,168848136,190228800]),[]).
%
% cnf(195864048,plain,($equal(growth_rate(first_movers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[194821936,190170864,190200448,190185672,190488544,195622136]),[]).
%
% fof(l7_35,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(efficient_producers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(growth_rate(efficient_producers,B),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168793992,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(efficient_producers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(growth_rate(efficient_producers,B),zero)),inference(rewrite,[status(thm)],[l7_35]),[]).
%
% cnf(190142224,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(number_of_organizations(sk1,A))|$equal(growth_rate(efficient_producers,A),zero)|greater(growth_rate(first_movers,A),zero)|greater(growth_rate(efficient_producers,A),zero)),inference(resolution,[status(thm)],[168793992,168644432]),[]).
%
% cnf(190247672,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(efficient_producers,sk2),zero)|greater(growth_rate(first_movers,sk2),zero)|greater(growth_rate(efficient_producers,sk2),zero)),inference(resolution,[status(thm)],[190142224,168820936]),[]).
%
% fof(prove_l6_42,plain,(~$equal(growth_rate(first_movers,sk2),zero)|~$equal(growth_rate(efficient_producers,sk2),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168837000,plain,(~$equal(growth_rate(first_movers,sk2),zero)|~$equal(growth_rate(efficient_producers,sk2),zero)),inference(rewrite,[status(thm)],[prove_l6_42]),[]).
%
% cnf(193227776,plain,(~constant(number_of_organizations(sk1,sk2))|greater(growth_rate(first_movers,sk2),zero)|greater(growth_rate(efficient_producers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[190247672,190219464,168837000]),[]).
%
% cnf(194235272,plain,(greater(growth_rate(first_movers,sk2),zero)|greater(growth_rate(efficient_producers,sk2),zero)),inference(resolution,[status(thm)],[193227776,190323064]),[]).
%
% fof(l7_36,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(efficient_producers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(first_movers,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168802184,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(efficient_producers,B),zero)|greater(growth_rate(first_movers,B),zero)|greater(zero,growth_rate(first_movers,B))),inference(rewrite,[status(thm)],[l7_36]),[]).
%
% cnf(190146880,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(number_of_organizations(sk1,A))|$equal(growth_rate(efficient_producers,A),zero)|greater(growth_rate(first_movers,A),zero)|greater(zero,growth_rate(first_movers,A))),inference(resolution,[status(thm)],[168802184,168644432]),[]).
%
% cnf(190252384,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(efficient_producers,sk2),zero)|greater(growth_rate(first_movers,sk2),zero)|greater(zero,growth_rate(first_movers,sk2))),inference(resolution,[status(thm)],[190146880,168820936]),[]).
%
% cnf(195617952,plain,(greater(growth_rate(first_movers,sk2),zero)|greater(zero,growth_rate(first_movers,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[190252384,190323064,168837000,190228800]),[]).
%
% cnf(195689728,plain,(greater(growth_rate(first_movers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[194235272,168854360,195617952]),[]).
%
% cnf(192588032,plain,(greater(zero,zero)),inference(paramodulation,[status(thm)],[195864048,195689728,theory(equality)]),[]).
%
% cnf(195721648,plain,(~greater(zero,growth_rate(efficient_producers,sk2))),inference(resolution,[status(thm)],[168848136,195689728]),[]).
%
% fof(l7_37,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(efficient_producers,B),zero)|greater(zero,growth_rate(efficient_producers,B))|greater(growth_rate(efficient_producers,B),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT024-1.tptp',unknown),[]).
%
% cnf(168807528,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(number_of_organizations(A,B))|$equal(growth_rate(efficient_producers,B),zero)|greater(zero,growth_rate(efficient_producers,B))|greater(growth_rate(efficient_producers,B),zero)),inference(rewrite,[status(thm)],[l7_37]),[]).
%
% cnf(190152888,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(number_of_organizations(sk1,A))|$equal(growth_rate(efficient_producers,A),zero)|greater(zero,growth_rate(efficient_producers,A))|greater(growth_rate(efficient_producers,A),zero)),inference(resolution,[status(thm)],[168807528,168644432]),[]).
%
% cnf(190258392,plain,(~constant(number_of_organizations(sk1,sk2))|$equal(growth_rate(efficient_producers,sk2),zero)|greater(zero,growth_rate(efficient_producers,sk2))|greater(growth_rate(efficient_producers,sk2),zero)),inference(resolution,[status(thm)],[190152888,168820936]),[]).
%
% cnf(196265096,plain,(greater(zero,growth_rate(efficient_producers,sk2))|greater(growth_rate(efficient_producers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[190258392,190323064,168837000,190235056]),[]).
%
% cnf(196326824,plain,(~greater(zero,growth_rate(first_movers,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[195721648,168854360,196265096]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[192588032,195864048,196326824,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------