TSTP Solution File: MGT036-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT036-1 : 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 14:02:23 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 15 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 75 ( 39 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 47 ( 5 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a12_10,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/MGT036-1.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/MGT036-1.tptp',unknown),
[] ).
cnf(153433720,plain,
( environment(A)
| ~ greater(zero,growth_rate(B,C)) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships_3]),
[] ).
cnf(153528360,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)],[a12_10,153433720]),
[] ).
fof(prove_t5_12,plain,
environment(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),
[] ).
cnf(153536552,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/MGT036-1.tptp',unknown),
[] ).
cnf(153549760,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/MGT036-1.tptp',unknown),
[] ).
cnf(153501144,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_FM_and_EP_1,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| subpopulations(efficient_producers,first_movers,A,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),
[] ).
cnf(153421768,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| subpopulations(efficient_producers,first_movers,A,B) ),
inference(rewrite,[status(thm)],[mp_symmetry_of_FM_and_EP_1]),
[] ).
cnf(166678888,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| subpopulations(efficient_producers,first_movers,sk1,A) ),
inference(resolution,[status(thm)],[153421768,153536552]),
[] ).
fof(prove_t5_13,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),
[] ).
cnf(153544768,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(rewrite,[status(thm)],[prove_t5_13]),
[] ).
cnf(166812024,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(resolution,[status(thm)],[166678888,153544768]),
[] ).
cnf(166884992,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153536552,153549760,153501144,166812024]),
[] ).
cnf(166992520,plain,
( ~ in_environment(A,sk2)
| greater(zero,growth_rate(B,sk2))
| ~ greater(resilience(efficient_producers),resilience(B)) ),
inference(resolution,[status(thm)],[153528360,166884992]),
[] ).
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/MGT036-1.tptp',unknown),
[] ).
cnf(153427168,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
inference(rewrite,[status(thm)],[mp_time_point_occur_2]),
[] ).
cnf(166666552,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,A)
| in_environment(sk1,A) ),
inference(resolution,[status(thm)],[153427168,153536552]),
[] ).
cnf(166802696,plain,
in_environment(sk1,sk2),
inference(resolution,[status(thm)],[166666552,153544768]),
[] ).
cnf(166997416,plain,
( greater(zero,growth_rate(A,sk2))
| ~ greater(resilience(efficient_producers),resilience(A)) ),
inference(resolution,[status(thm)],[166992520,166802696]),
[] ).
fof(a2_11,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),
[] ).
cnf(153532456,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(rewrite,[status(thm)],[a2_11]),
[] ).
cnf(167001904,plain,
greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[status(thm)],[166997416,153532456]),
[] ).
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/MGT036-1.tptp',unknown),
[] ).
cnf(153451488,plain,
( ~ greater_or_equal(growth_rate(A,B),zero)
| ~ greater(zero,growth_rate(A,B)) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships_5]),
[] ).
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/MGT036-1.tptp',unknown),
[] ).
cnf(153491856,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(166879248,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(forward_subsumption_resolution__resolution,[status(thm)],[153536552,153549760,153491856,166812024]),
[] ).
cnf(166895160,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[status(thm)],[153451488,166879248]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[167001904,166895160]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a12_10,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/MGT036-1.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/MGT036-1.tptp',unknown),[]).
%
% cnf(153433720,plain,(environment(A)|~greater(zero,growth_rate(B,C))),inference(rewrite,[status(thm)],[mp_growth_rate_relationships_3]),[]).
%
% cnf(153528360,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)],[a12_10,153433720]),[]).
%
% fof(prove_t5_12,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),[]).
%
% cnf(153536552,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/MGT036-1.tptp',unknown),[]).
%
% cnf(153549760,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/MGT036-1.tptp',unknown),[]).
%
% cnf(153501144,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_FM_and_EP_1,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|subpopulations(efficient_producers,first_movers,A,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),[]).
%
% cnf(153421768,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|subpopulations(efficient_producers,first_movers,A,B)),inference(rewrite,[status(thm)],[mp_symmetry_of_FM_and_EP_1]),[]).
%
% cnf(166678888,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|subpopulations(efficient_producers,first_movers,sk1,A)),inference(resolution,[status(thm)],[153421768,153536552]),[]).
%
% fof(prove_t5_13,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),[]).
%
% cnf(153544768,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[prove_t5_13]),[]).
%
% cnf(166812024,plain,(subpopulations(efficient_producers,first_movers,sk1,sk2)),inference(resolution,[status(thm)],[166678888,153544768]),[]).
%
% cnf(166884992,plain,(greater(zero,growth_rate(efficient_producers,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[153536552,153549760,153501144,166812024]),[]).
%
% cnf(166992520,plain,(~in_environment(A,sk2)|greater(zero,growth_rate(B,sk2))|~greater(resilience(efficient_producers),resilience(B))),inference(resolution,[status(thm)],[153528360,166884992]),[]).
%
% 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/MGT036-1.tptp',unknown),[]).
%
% cnf(153427168,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_time_point_occur_2]),[]).
%
% cnf(166666552,plain,(~subpopulations(first_movers,efficient_producers,sk1,A)|in_environment(sk1,A)),inference(resolution,[status(thm)],[153427168,153536552]),[]).
%
% cnf(166802696,plain,(in_environment(sk1,sk2)),inference(resolution,[status(thm)],[166666552,153544768]),[]).
%
% cnf(166997416,plain,(greater(zero,growth_rate(A,sk2))|~greater(resilience(efficient_producers),resilience(A))),inference(resolution,[status(thm)],[166992520,166802696]),[]).
%
% fof(a2_11,plain,(greater(resilience(efficient_producers),resilience(first_movers))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036-1.tptp',unknown),[]).
%
% cnf(153532456,plain,(greater(resilience(efficient_producers),resilience(first_movers))),inference(rewrite,[status(thm)],[a2_11]),[]).
%
% cnf(167001904,plain,(greater(zero,growth_rate(first_movers,sk2))),inference(resolution,[status(thm)],[166997416,153532456]),[]).
%
% 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/MGT036-1.tptp',unknown),[]).
%
% cnf(153451488,plain,(~greater_or_equal(growth_rate(A,B),zero)|~greater(zero,growth_rate(A,B))),inference(rewrite,[status(thm)],[mp_growth_rate_relationships_5]),[]).
%
% 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/MGT036-1.tptp',unknown),[]).
%
% cnf(153491856,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(166879248,plain,(greater_or_equal(growth_rate(first_movers,sk2),zero)),inference(forward_subsumption_resolution__resolution,[status(thm)],[153536552,153549760,153491856,166812024]),[]).
%
% cnf(166895160,plain,(~greater(zero,growth_rate(first_movers,sk2))),inference(resolution,[status(thm)],[153451488,166879248]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167001904,166895160]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------