%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT021-1 : 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 14:00:41 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 80 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 97 ( 50 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_l3_37,plain,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144520864,plain,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(rewrite,[status(thm)],[prove_l3_37]),
[] ).
fof(prove_l3_35,plain,
environment(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144510376,plain,
environment(sk1),
inference(rewrite,[status(thm)],[prove_l3_35]),
[] ).
fof(prove_l3_36,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144515592,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(rewrite,[status(thm)],[prove_l3_36]),
[] ).
fof(l4_34,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(resources(A,B))
| ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144501184,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(resources(A,B))
| ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
inference(rewrite,[status(thm)],[l4_34]),
[] ).
fof(mp_environment_not_empty_28,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144406632,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ),
inference(rewrite,[status(thm)],[mp_environment_not_empty_28]),
[] ).
cnf(157728944,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| greater(number_of_organizations(sk1,A),zero) ),
inference(resolution,[status(thm)],[144406632,144510376]),
[] ).
cnf(157841248,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(resolution,[status(thm)],[157728944,144515592]),
[] ).
fof(mp_time_point_in_environment_27,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144400928,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
inference(rewrite,[status(thm)],[mp_time_point_in_environment_27]),
[] ).
cnf(157713960,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| in_environment(sk1,A) ),
inference(resolution,[status(thm)],[144400928,144510376]),
[] ).
cnf(157822264,plain,
in_environment(sk1,sk2),
inference(resolution,[status(thm)],[157713960,144515592]),
[] ).
fof(a3_31,plain,
! [A,B] :
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ greater(equilibrium(A),B)
| decreases(resources(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144448552,plain,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ greater(equilibrium(A),B)
| decreases(resources(A,B)) ),
inference(rewrite,[status(thm)],[a3_31]),
[] ).
fof(l4_33,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ decreases(resources(A,B))
| increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144486664,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ decreases(resources(A,B))
| increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
inference(rewrite,[status(thm)],[l4_33]),
[] ).
cnf(157799880,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ decreases(resources(sk1,A))
| increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A))) ),
inference(resolution,[status(thm)],[144486664,144510376]),
[] ).
cnf(157863704,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[157799880,144515592]),
[] ).
fof(mp_increase_not_decrease_29,plain,
! [A] :
( ~ increases(A)
| ~ decreases(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),
[] ).
cnf(144417592,plain,
( ~ increases(A)
| ~ decreases(A) ),
inference(rewrite,[status(thm)],[mp_increase_not_decrease_29]),
[] ).
cnf(157921232,plain,
~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[status(thm)],[144417592,144520864]),
[] ).
cnf(157928088,plain,
~ decreases(resources(sk1,sk2)),
inference(resolution,[status(thm)],[157863704,157921232]),
[] ).
cnf(157933936,plain,
~ greater(equilibrium(sk1),sk2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144510376,157841248,157822264,144448552,157928088]),
[] ).
fof(a3_32,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/MGT021-1.tptp',unknown),
[] ).
cnf(144455832,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_32]),
[] ).
cnf(157764664,plain,
( ~ in_environment(sk1,A)
| ~ greater(number_of_organizations(sk1,A),zero)
| greater(equilibrium(sk1),A)
| constant(resources(sk1,A)) ),
inference(resolution,[status(thm)],[144455832,144510376]),
[] ).
cnf(157892776,plain,
( greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157841248,157764664,157822264]),
[] ).
cnf(158232792,plain,
constant(resources(sk1,sk2)),
inference(resolution,[status(thm)],[157933936,157892776]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[144520864,144510376,144515592,144501184,158232792]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_l3_37,plain,(decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144520864,plain,(decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(rewrite,[status(thm)],[prove_l3_37]),[]).
%
% fof(prove_l3_35,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144510376,plain,(environment(sk1)),inference(rewrite,[status(thm)],[prove_l3_35]),[]).
%
% fof(prove_l3_36,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144515592,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[prove_l3_36]),[]).
%
% fof(l4_34,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(resources(A,B))|~decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144501184,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(resources(A,B))|~decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))),inference(rewrite,[status(thm)],[l4_34]),[]).
%
% fof(mp_environment_not_empty_28,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|greater(number_of_organizations(A,B),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144406632,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|greater(number_of_organizations(A,B),zero)),inference(rewrite,[status(thm)],[mp_environment_not_empty_28]),[]).
%
% cnf(157728944,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|greater(number_of_organizations(sk1,A),zero)),inference(resolution,[status(thm)],[144406632,144510376]),[]).
%
% cnf(157841248,plain,(greater(number_of_organizations(sk1,sk2),zero)),inference(resolution,[status(thm)],[157728944,144515592]),[]).
%
% fof(mp_time_point_in_environment_27,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144400928,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_time_point_in_environment_27]),[]).
%
% cnf(157713960,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|in_environment(sk1,A)),inference(resolution,[status(thm)],[144400928,144510376]),[]).
%
% cnf(157822264,plain,(in_environment(sk1,sk2)),inference(resolution,[status(thm)],[157713960,144515592]),[]).
%
% fof(a3_31,plain,(~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero)|~greater(equilibrium(A),B)|decreases(resources(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144448552,plain,(~environment(A)|~in_environment(A,B)|~greater(number_of_organizations(A,B),zero)|~greater(equilibrium(A),B)|decreases(resources(A,B))),inference(rewrite,[status(thm)],[a3_31]),[]).
%
% fof(l4_33,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~decreases(resources(A,B))|increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144486664,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~decreases(resources(A,B))|increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))),inference(rewrite,[status(thm)],[l4_33]),[]).
%
% cnf(157799880,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~decreases(resources(sk1,A))|increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))),inference(resolution,[status(thm)],[144486664,144510376]),[]).
%
% cnf(157863704,plain,(~decreases(resources(sk1,sk2))|increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(resolution,[status(thm)],[157799880,144515592]),[]).
%
% fof(mp_increase_not_decrease_29,plain,(~increases(A)|~decreases(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT021-1.tptp',unknown),[]).
%
% cnf(144417592,plain,(~increases(A)|~decreases(A)),inference(rewrite,[status(thm)],[mp_increase_not_decrease_29]),[]).
%
% cnf(157921232,plain,(~increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(resolution,[status(thm)],[144417592,144520864]),[]).
%
% cnf(157928088,plain,(~decreases(resources(sk1,sk2))),inference(resolution,[status(thm)],[157863704,157921232]),[]).
%
% cnf(157933936,plain,(~greater(equilibrium(sk1),sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[144510376,157841248,157822264,144448552,157928088]),[]).
%
% fof(a3_32,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/MGT021-1.tptp',unknown),[]).
%
% cnf(144455832,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_32]),[]).
%
% cnf(157764664,plain,(~in_environment(sk1,A)|~greater(number_of_organizations(sk1,A),zero)|greater(equilibrium(sk1),A)|constant(resources(sk1,A))),inference(resolution,[status(thm)],[144455832,144510376]),[]).
%
% cnf(157892776,plain,(greater(equilibrium(sk1),sk2)|constant(resources(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[157841248,157764664,157822264]),[]).
%
% cnf(158232792,plain,(constant(resources(sk1,sk2))),inference(resolution,[status(thm)],[157933936,157892776]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[144520864,144510376,144515592,144501184,158232792]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------