TSTP Solution File: MGT036-2 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT036-2 : 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 14:02:27 EDT 2009
% Result : Unsatisfiable 0.2s
% Output : Refutation 0.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 90 ( 44 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 71 ( 13 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_t5_12,plain,
environment(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152260320,plain,
environment(sk1),
inference(rewrite,[status(thm)],[prove_t5_12]),
[] ).
fof(prove_t5_14,plain,
outcompetes(first_movers,efficient_producers,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152273496,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(rewrite,[status(thm)],[prove_t5_14]),
[] ).
fof(d2_9,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater(zero,growth_rate(B,D)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152220816,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater(zero,growth_rate(B,D)) ),
inference(rewrite,[status(thm)],[d2_9]),
[] ).
fof(mp_symmetry_of_subpopulations_1,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| subpopulations(C,B,A,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152149656,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| subpopulations(C,B,A,D) ),
inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations_1]),
[] ).
fof(prove_t5_13,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152268520,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(rewrite,[status(thm)],[prove_t5_13]),
[] ).
cnf(165533960,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152149656,152268520]),
[] ).
cnf(168581040,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152273496,152220816,165533960]),
[] ).
fof(a13_11,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ in_environment(A,B)
| greater(zero,growth_rate(C,B))
| ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
fof(mp_growth_rate_relationships_3,plain,
! [A,B,C] :
( environment(A)
| ~ greater(zero,growth_rate(B,C)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152162544,plain,
( environment(A)
| ~ greater(zero,growth_rate(B,C)) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships_3]),
[] ).
cnf(152256240,plain,
( ~ in_environment(A,B)
| greater(zero,growth_rate(C,B))
| ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B)) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[a13_11,152162544]),
[] ).
fof(a2_10,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152228808,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(rewrite,[status(thm)],[a2_10]),
[] ).
cnf(165513424,plain,
( ~ in_environment(A,B)
| greater(zero,growth_rate(first_movers,B))
| ~ greater(zero,growth_rate(efficient_producers,B)) ),
inference(resolution,[status(thm)],[152256240,152228808]),
[] ).
fof(mp_time_point_occur_2,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/MGT036-2.tptp',unknown),
[] ).
cnf(152155864,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
inference(rewrite,[status(thm)],[mp_time_point_occur_2]),
[] ).
cnf(165524120,plain,
in_environment(sk1,sk2),
inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152155864,152268520]),
[] ).
cnf(165588952,plain,
( greater(zero,growth_rate(first_movers,sk2))
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[status(thm)],[165513424,165524120]),
[] ).
fof(mp_growth_rate_relationships_6,plain,
! [A,B,C,D] :
( greater(zero,growth_rate(A,B))
| ~ environment(C)
| ~ subpopulations(A,D,C,B)
| greater_or_equal(growth_rate(A,B),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152194504,plain,
( greater(zero,growth_rate(A,B))
| ~ environment(C)
| ~ subpopulations(A,D,C,B)
| greater_or_equal(growth_rate(A,B),zero) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships_6]),
[] ).
cnf(165544848,plain,
( greater(zero,growth_rate(first_movers,sk2))
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152194504,152268520]),
[] ).
cnf(165893032,plain,
( greater_or_equal(growth_rate(first_movers,sk2),zero)
| environment(A) ),
inference(resolution,[status(thm)],[165544848,152162544]),
[] ).
fof(mp_growth_rate_relationships_4,plain,
! [A,B,C,D] :
( subpopulations(A,B,C,D)
| ~ greater(zero,growth_rate(A,D)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152173480,plain,
( subpopulations(A,B,C,D)
| ~ greater(zero,growth_rate(A,D)) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships_4]),
[] ).
cnf(165642976,plain,
( subpopulations(C,B,A,D)
| ~ greater(zero,growth_rate(B,D)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[152162544,152149656,152173480]),
[] ).
cnf(165933720,plain,
( greater_or_equal(growth_rate(first_movers,sk2),zero)
| subpopulations(B,first_movers,A,sk2) ),
inference(resolution,[status(thm)],[165544848,165642976]),
[] ).
fof(d2_8,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater_or_equal(growth_rate(C,D),zero) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152215616,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ outcompetes(C,B,D)
| greater_or_equal(growth_rate(C,D),zero) ),
inference(rewrite,[status(thm)],[d2_8]),
[] ).
cnf(167900552,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(forward_subsumption_resolution__resolution,[status(thm)],[165893032,165933720,152215616,152273496]),
[] ).
fof(mp_growth_rate_relationships_5,plain,
! [A,B] :
( ~ greater_or_equal(growth_rate(A,B),zero)
| ~ greater(zero,growth_rate(A,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),
[] ).
cnf(152180216,plain,
( ~ greater_or_equal(growth_rate(A,B),zero)
| ~ greater(zero,growth_rate(A,B)) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships_5]),
[] ).
cnf(168075808,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[status(thm)],[167900552,152180216]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[168581040,165588952,168075808]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_t5_12,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152260320,plain,(environment(sk1)),inference(rewrite,[status(thm)],[prove_t5_12]),[]).
%
% fof(prove_t5_14,plain,(outcompetes(first_movers,efficient_producers,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152273496,plain,(outcompetes(first_movers,efficient_producers,sk2)),inference(rewrite,[status(thm)],[prove_t5_14]),[]).
%
% fof(d2_9,plain,(~environment(A)|~subpopulations(B,C,A,D)|~outcompetes(C,B,D)|greater(zero,growth_rate(B,D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152220816,plain,(~environment(A)|~subpopulations(B,C,A,D)|~outcompetes(C,B,D)|greater(zero,growth_rate(B,D))),inference(rewrite,[status(thm)],[d2_9]),[]).
%
% fof(mp_symmetry_of_subpopulations_1,plain,(~environment(A)|~subpopulations(B,C,A,D)|subpopulations(C,B,A,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152149656,plain,(~environment(A)|~subpopulations(B,C,A,D)|subpopulations(C,B,A,D)),inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations_1]),[]).
%
% fof(prove_t5_13,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152268520,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[prove_t5_13]),[]).
%
% cnf(165533960,plain,(subpopulations(efficient_producers,first_movers,sk1,sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152149656,152268520]),[]).
%
% cnf(168581040,plain,(greater(zero,growth_rate(efficient_producers,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152273496,152220816,165533960]),[]).
%
% fof(a13_11,plain,(~environment(A)|~in_environment(A,B)|greater(zero,growth_rate(C,B))|~greater(resilience(D),resilience(C))|~greater(zero,growth_rate(D,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% fof(mp_growth_rate_relationships_3,plain,(environment(A)|~greater(zero,growth_rate(B,C))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152162544,plain,(environment(A)|~greater(zero,growth_rate(B,C))),inference(rewrite,[status(thm)],[mp_growth_rate_relationships_3]),[]).
%
% cnf(152256240,plain,(~in_environment(A,B)|greater(zero,growth_rate(C,B))|~greater(resilience(D),resilience(C))|~greater(zero,growth_rate(D,B))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[a13_11,152162544]),[]).
%
% fof(a2_10,plain,(greater(resilience(efficient_producers),resilience(first_movers))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152228808,plain,(greater(resilience(efficient_producers),resilience(first_movers))),inference(rewrite,[status(thm)],[a2_10]),[]).
%
% cnf(165513424,plain,(~in_environment(A,B)|greater(zero,growth_rate(first_movers,B))|~greater(zero,growth_rate(efficient_producers,B))),inference(resolution,[status(thm)],[152256240,152228808]),[]).
%
% fof(mp_time_point_occur_2,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152155864,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_time_point_occur_2]),[]).
%
% cnf(165524120,plain,(in_environment(sk1,sk2)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152155864,152268520]),[]).
%
% cnf(165588952,plain,(greater(zero,growth_rate(first_movers,sk2))|~greater(zero,growth_rate(efficient_producers,sk2))),inference(resolution,[status(thm)],[165513424,165524120]),[]).
%
% fof(mp_growth_rate_relationships_6,plain,(greater(zero,growth_rate(A,B))|~environment(C)|~subpopulations(A,D,C,B)|greater_or_equal(growth_rate(A,B),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152194504,plain,(greater(zero,growth_rate(A,B))|~environment(C)|~subpopulations(A,D,C,B)|greater_or_equal(growth_rate(A,B),zero)),inference(rewrite,[status(thm)],[mp_growth_rate_relationships_6]),[]).
%
% cnf(165544848,plain,(greater(zero,growth_rate(first_movers,sk2))|greater_or_equal(growth_rate(first_movers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[152260320,152194504,152268520]),[]).
%
% cnf(165893032,plain,(greater_or_equal(growth_rate(first_movers,sk2),zero)|environment(A)),inference(resolution,[status(thm)],[165544848,152162544]),[]).
%
% fof(mp_growth_rate_relationships_4,plain,(subpopulations(A,B,C,D)|~greater(zero,growth_rate(A,D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152173480,plain,(subpopulations(A,B,C,D)|~greater(zero,growth_rate(A,D))),inference(rewrite,[status(thm)],[mp_growth_rate_relationships_4]),[]).
%
% cnf(165642976,plain,(subpopulations(C,B,A,D)|~greater(zero,growth_rate(B,D))),inference(forward_subsumption_resolution__resolution,[status(thm)],[152162544,152149656,152173480]),[]).
%
% cnf(165933720,plain,(greater_or_equal(growth_rate(first_movers,sk2),zero)|subpopulations(B,first_movers,A,sk2)),inference(resolution,[status(thm)],[165544848,165642976]),[]).
%
% fof(d2_8,plain,(~environment(A)|~subpopulations(B,C,A,D)|~outcompetes(C,B,D)|greater_or_equal(growth_rate(C,D),zero)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152215616,plain,(~environment(A)|~subpopulations(B,C,A,D)|~outcompetes(C,B,D)|greater_or_equal(growth_rate(C,D),zero)),inference(rewrite,[status(thm)],[d2_8]),[]).
%
% cnf(167900552,plain,(greater_or_equal(growth_rate(first_movers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[165893032,165933720,152215616,152273496]),[]).
%
% fof(mp_growth_rate_relationships_5,plain,(~greater_or_equal(growth_rate(A,B),zero)|~greater(zero,growth_rate(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-2.tptp',unknown),[]).
%
% cnf(152180216,plain,(~greater_or_equal(growth_rate(A,B),zero)|~greater(zero,growth_rate(A,B))),inference(rewrite,[status(thm)],[mp_growth_rate_relationships_5]),[]).
%
% cnf(168075808,plain,(~greater(zero,growth_rate(first_movers,sk2))),inference(resolution,[status(thm)],[167900552,152180216]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168581040,165588952,168075808]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------