%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT022-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art02.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 14:00:46 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 9 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 73 ( 36 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a5_3,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(145019976,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
inference(rewrite,[status(thm)],[a5_3]),
[] ).
fof(a2_4,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(145024848,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(rewrite,[status(thm)],[a2_4]),
[] ).
cnf(166220056,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(resources(A,B))
| constant(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ),
inference(resolution,[status(thm)],[145019976,145024848]),
[] ).
fof(prove_l4_5,plain,
environment(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(145034048,plain,
environment(sk1),
inference(rewrite,[status(thm)],[prove_l4_5]),
[] ).
cnf(166227568,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| ~ constant(resources(sk1,A))
| constant(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A))) ),
inference(resolution,[status(thm)],[166220056,145034048]),
[] ).
fof(prove_l4_6,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(145039112,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(rewrite,[status(thm)],[prove_l4_6]),
[] ).
cnf(166257040,plain,
( ~ constant(resources(sk1,sk2))
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[166227568,145039112]),
[] ).
fof(a5_2,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(144997736,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
inference(rewrite,[status(thm)],[a5_2]),
[] ).
cnf(166187696,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(resolution,[status(thm)],[144997736,145024848]),
[] ).
cnf(166205216,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)],[166187696,145034048]),
[] ).
cnf(166239048,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[166205216,145039112]),
[] ).
fof(prove_l4_9,plain,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(145061680,plain,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
inference(rewrite,[status(thm)],[prove_l4_9]),
[] ).
fof(mp_constant_not_decrease_1,plain,
! [A] :
( ~ constant(A)
| ~ decreases(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(144925704,plain,
( ~ constant(A)
| ~ decreases(A) ),
inference(rewrite,[status(thm)],[mp_constant_not_decrease_1]),
[] ).
cnf(166278208,plain,
~ decreases(resources(sk1,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166239048,145061680,144925704]),
[] ).
fof(prove_l4_7,plain,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(145045784,plain,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
inference(rewrite,[status(thm)],[prove_l4_7]),
[] ).
cnf(166287840,plain,
constant(resources(sk1,sk2)),
inference(resolution,[status(thm)],[166278208,145045784]),
[] ).
fof(prove_l4_8,plain,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),
[] ).
cnf(145054888,plain,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(rewrite,[status(thm)],[prove_l4_8]),
[] ).
cnf(166263896,plain,
( ~ constant(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[144925704,145054888]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[166257040,166287840,166263896,144925704]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a5_3,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))|~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(145019976,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))|~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))),inference(rewrite,[status(thm)],[a5_3]),[]).
%
% fof(a2_4,plain,(greater(resilience(efficient_producers),resilience(first_movers))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(145024848,plain,(greater(resilience(efficient_producers),resilience(first_movers))),inference(rewrite,[status(thm)],[a2_4]),[]).
%
% cnf(166220056,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~constant(resources(A,B))|constant(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))),inference(resolution,[status(thm)],[145019976,145024848]),[]).
%
% fof(prove_l4_5,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(145034048,plain,(environment(sk1)),inference(rewrite,[status(thm)],[prove_l4_5]),[]).
%
% cnf(166227568,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|~constant(resources(sk1,A))|constant(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))),inference(resolution,[status(thm)],[166220056,145034048]),[]).
%
% fof(prove_l4_6,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(145039112,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[prove_l4_6]),[]).
%
% cnf(166257040,plain,(~constant(resources(sk1,sk2))|constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(resolution,[status(thm)],[166227568,145039112]),[]).
%
% fof(a5_2,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))|~decreases(resources(A,D))|increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(144997736,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))|~decreases(resources(A,D))|increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))),inference(rewrite,[status(thm)],[a5_2]),[]).
%
% cnf(166187696,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(resolution,[status(thm)],[144997736,145024848]),[]).
%
% cnf(166205216,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)],[166187696,145034048]),[]).
%
% cnf(166239048,plain,(~decreases(resources(sk1,sk2))|increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(resolution,[status(thm)],[166205216,145039112]),[]).
%
% fof(prove_l4_9,plain,(~increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))|constant(resources(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(145061680,plain,(~increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))|constant(resources(sk1,sk2))),inference(rewrite,[status(thm)],[prove_l4_9]),[]).
%
% fof(mp_constant_not_decrease_1,plain,(~constant(A)|~decreases(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(144925704,plain,(~constant(A)|~decreases(A)),inference(rewrite,[status(thm)],[mp_constant_not_decrease_1]),[]).
%
% cnf(166278208,plain,(~decreases(resources(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[166239048,145061680,144925704]),[]).
%
% fof(prove_l4_7,plain,(decreases(resources(sk1,sk2))|constant(resources(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(145045784,plain,(decreases(resources(sk1,sk2))|constant(resources(sk1,sk2))),inference(rewrite,[status(thm)],[prove_l4_7]),[]).
%
% cnf(166287840,plain,(constant(resources(sk1,sk2))),inference(resolution,[status(thm)],[166278208,145045784]),[]).
%
% fof(prove_l4_8,plain,(decreases(resources(sk1,sk2))|decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-1.tptp',unknown),[]).
%
% cnf(145054888,plain,(decreases(resources(sk1,sk2))|decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(rewrite,[status(thm)],[prove_l4_8]),[]).
%
% cnf(166263896,plain,(~constant(resources(sk1,sk2))|decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(resolution,[status(thm)],[144925704,145054888]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[166257040,166287840,166263896,144925704]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------