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 v2.0.0.
% 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 14:02:27 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 11 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 108 ( 51 ~; 50 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 54 ( 6 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(d2,plain,
! [C,D,B,A] :
( ( greater_or_equal(growth_rate(C,D),zero)
| ~ outcompetes(C,B,D)
| ~ environment(A)
| ~ subpopulations(B,C,A,D) )
& ( greater(zero,growth_rate(B,D))
| ~ outcompetes(C,B,D)
| ~ environment(A)
| ~ subpopulations(B,C,A,D) )
& ( ~ greater_or_equal(growth_rate(C,D),zero)
| ~ greater(zero,growth_rate(B,D))
| outcompetes(C,B,D)
| ~ environment(A)
| ~ subpopulations(B,C,A,D) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),
[] ).
cnf(166417536,plain,
( greater_or_equal(growth_rate(C,D),zero)
| ~ outcompetes(C,B,D)
| ~ environment(A)
| ~ subpopulations(B,C,A,D) ),
inference(rewrite,[status(thm)],[d2]),
[] ).
fof(prove_t5,plain,
( environment(e)
& subpopulations(first_movers,efficient_producers,e,t)
& outcompetes(first_movers,efficient_producers,t) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),
[] ).
cnf(166515000,plain,
environment(e),
inference(rewrite,[status(thm)],[prove_t5]),
[] ).
cnf(179671656,plain,
( greater_or_equal(growth_rate(B,C),zero)
| ~ outcompetes(B,A,C)
| ~ subpopulations(A,B,e,C) ),
inference(resolution,[status(thm)],[166417536,166515000]),
[] ).
cnf(166495624,plain,
outcompetes(first_movers,efficient_producers,t),
inference(rewrite,[status(thm)],[prove_t5]),
[] ).
cnf(179717336,plain,
( greater_or_equal(growth_rate(first_movers,t),zero)
| ~ subpopulations(efficient_producers,first_movers,e,t) ),
inference(resolution,[status(thm)],[179671656,166495624]),
[] ).
fof(mp_symmetry_of_subpopulations,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(166320760,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| subpopulations(C,B,A,D) ),
inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations]),
[] ).
cnf(179648848,plain,
( ~ subpopulations(A,B,e,C)
| subpopulations(B,A,e,C) ),
inference(resolution,[status(thm)],[166320760,166515000]),
[] ).
cnf(166507456,plain,
subpopulations(first_movers,efficient_producers,e,t),
inference(rewrite,[status(thm)],[prove_t5]),
[] ).
cnf(179769048,plain,
subpopulations(efficient_producers,first_movers,e,t),
inference(resolution,[status(thm)],[179648848,166507456]),
[] ).
cnf(179819248,plain,
greater_or_equal(growth_rate(first_movers,t),zero),
inference(resolution,[status(thm)],[179717336,179769048]),
[] ).
fof(mp_growth_rate_relationships,plain,
! [A,B,D,C] :
( ( environment(A)
| ~ greater(zero,growth_rate(B,D)) )
& ( subpopulations(B,C,A,D)
| ~ greater(zero,growth_rate(B,D)) )
& ( ~ greater_or_equal(growth_rate(B,D),zero)
| ~ greater(zero,growth_rate(B,D)) )
& ( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| greater_or_equal(growth_rate(B,D),zero)
| greater(zero,growth_rate(B,D)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),
[] ).
cnf(166365832,plain,
( ~ greater_or_equal(growth_rate(B,D),zero)
| ~ greater(zero,growth_rate(B,D)) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships]),
[] ).
fof(a13,plain,
! [A,D,B,C] :
( ~ environment(A)
| ~ in_environment(A,D)
| greater(zero,growth_rate(B,D))
| ~ greater(resilience(C),resilience(B))
| ~ greater(zero,growth_rate(C,D)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),
[] ).
cnf(166379112,plain,
( environment(A)
| ~ greater(zero,growth_rate(B,D)) ),
inference(rewrite,[status(thm)],[mp_growth_rate_relationships]),
[] ).
cnf(166452992,plain,
( ~ in_environment(A,D)
| greater(zero,growth_rate(B,D))
| ~ greater(resilience(C),resilience(B))
| ~ greater(zero,growth_rate(C,D)) ),
inference(rewrite__forward_subsumption_resolution,[status(thm)],[a13,166379112]),
[] ).
cnf(166407600,plain,
( greater(zero,growth_rate(B,D))
| ~ outcompetes(C,B,D)
| ~ environment(A)
| ~ subpopulations(B,C,A,D) ),
inference(rewrite,[status(thm)],[d2]),
[] ).
cnf(179661912,plain,
( greater(zero,growth_rate(A,C))
| ~ outcompetes(B,A,C)
| ~ subpopulations(A,B,e,C) ),
inference(resolution,[status(thm)],[166407600,166515000]),
[] ).
cnf(179700152,plain,
( greater(zero,growth_rate(efficient_producers,t))
| ~ subpopulations(efficient_producers,first_movers,e,t) ),
inference(resolution,[status(thm)],[179661912,166495624]),
[] ).
cnf(179813960,plain,
greater(zero,growth_rate(efficient_producers,t)),
inference(resolution,[status(thm)],[179700152,179769048]),
[] ).
cnf(179907952,plain,
( ~ in_environment(A,t)
| greater(zero,growth_rate(B,t))
| ~ greater(resilience(efficient_producers),resilience(B)) ),
inference(resolution,[status(thm)],[166452992,179813960]),
[] ).
fof(a2,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),
[] ).
cnf(166425576,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(rewrite,[status(thm)],[a2]),
[] ).
cnf(179916888,plain,
( ~ in_environment(A,t)
| greater(zero,growth_rate(first_movers,t)) ),
inference(resolution,[status(thm)],[179907952,166425576]),
[] ).
fof(mp_time_point_occur,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(166326904,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ),
inference(rewrite,[status(thm)],[mp_time_point_occur]),
[] ).
cnf(179631608,plain,
( ~ subpopulations(first_movers,efficient_producers,e,A)
| in_environment(e,A) ),
inference(resolution,[status(thm)],[166326904,166515000]),
[] ).
cnf(179764016,plain,
in_environment(e,t),
inference(resolution,[status(thm)],[179631608,166507456]),
[] ).
cnf(179921640,plain,
greater(zero,growth_rate(first_movers,t)),
inference(resolution,[status(thm)],[179916888,179764016]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[179819248,166365832,179921640]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(d2,plain,(((greater_or_equal(growth_rate(C,D),zero)|~outcompetes(C,B,D)|~environment(A)|~subpopulations(B,C,A,D))&(greater(zero,growth_rate(B,D))|~outcompetes(C,B,D)|~environment(A)|~subpopulations(B,C,A,D))&(~greater_or_equal(growth_rate(C,D),zero)|~greater(zero,growth_rate(B,D))|outcompetes(C,B,D)|~environment(A)|~subpopulations(B,C,A,D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),[]).
%
% cnf(166417536,plain,(greater_or_equal(growth_rate(C,D),zero)|~outcompetes(C,B,D)|~environment(A)|~subpopulations(B,C,A,D)),inference(rewrite,[status(thm)],[d2]),[]).
%
% fof(prove_t5,plain,((environment(e)&subpopulations(first_movers,efficient_producers,e,t)&outcompetes(first_movers,efficient_producers,t))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),[]).
%
% cnf(166515000,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_t5]),[]).
%
% cnf(179671656,plain,(greater_or_equal(growth_rate(B,C),zero)|~outcompetes(B,A,C)|~subpopulations(A,B,e,C)),inference(resolution,[status(thm)],[166417536,166515000]),[]).
%
% cnf(166495624,plain,(outcompetes(first_movers,efficient_producers,t)),inference(rewrite,[status(thm)],[prove_t5]),[]).
%
% cnf(179717336,plain,(greater_or_equal(growth_rate(first_movers,t),zero)|~subpopulations(efficient_producers,first_movers,e,t)),inference(resolution,[status(thm)],[179671656,166495624]),[]).
%
% fof(mp_symmetry_of_subpopulations,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(166320760,plain,(~environment(A)|~subpopulations(B,C,A,D)|subpopulations(C,B,A,D)),inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations]),[]).
%
% cnf(179648848,plain,(~subpopulations(A,B,e,C)|subpopulations(B,A,e,C)),inference(resolution,[status(thm)],[166320760,166515000]),[]).
%
% cnf(166507456,plain,(subpopulations(first_movers,efficient_producers,e,t)),inference(rewrite,[status(thm)],[prove_t5]),[]).
%
% cnf(179769048,plain,(subpopulations(efficient_producers,first_movers,e,t)),inference(resolution,[status(thm)],[179648848,166507456]),[]).
%
% cnf(179819248,plain,(greater_or_equal(growth_rate(first_movers,t),zero)),inference(resolution,[status(thm)],[179717336,179769048]),[]).
%
% fof(mp_growth_rate_relationships,plain,(((environment(A)|~greater(zero,growth_rate(B,D)))&(subpopulations(B,C,A,D)|~greater(zero,growth_rate(B,D)))&(~greater_or_equal(growth_rate(B,D),zero)|~greater(zero,growth_rate(B,D)))&(~environment(A)|~subpopulations(B,C,A,D)|greater_or_equal(growth_rate(B,D),zero)|greater(zero,growth_rate(B,D))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),[]).
%
% cnf(166365832,plain,(~greater_or_equal(growth_rate(B,D),zero)|~greater(zero,growth_rate(B,D))),inference(rewrite,[status(thm)],[mp_growth_rate_relationships]),[]).
%
% fof(a13,plain,(~environment(A)|~in_environment(A,D)|greater(zero,growth_rate(B,D))|~greater(resilience(C),resilience(B))|~greater(zero,growth_rate(C,D))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),[]).
%
% cnf(166379112,plain,(environment(A)|~greater(zero,growth_rate(B,D))),inference(rewrite,[status(thm)],[mp_growth_rate_relationships]),[]).
%
% cnf(166452992,plain,(~in_environment(A,D)|greater(zero,growth_rate(B,D))|~greater(resilience(C),resilience(B))|~greater(zero,growth_rate(C,D))),inference(rewrite__forward_subsumption_resolution,[status(thm)],[a13,166379112]),[]).
%
% cnf(166407600,plain,(greater(zero,growth_rate(B,D))|~outcompetes(C,B,D)|~environment(A)|~subpopulations(B,C,A,D)),inference(rewrite,[status(thm)],[d2]),[]).
%
% cnf(179661912,plain,(greater(zero,growth_rate(A,C))|~outcompetes(B,A,C)|~subpopulations(A,B,e,C)),inference(resolution,[status(thm)],[166407600,166515000]),[]).
%
% cnf(179700152,plain,(greater(zero,growth_rate(efficient_producers,t))|~subpopulations(efficient_producers,first_movers,e,t)),inference(resolution,[status(thm)],[179661912,166495624]),[]).
%
% cnf(179813960,plain,(greater(zero,growth_rate(efficient_producers,t))),inference(resolution,[status(thm)],[179700152,179769048]),[]).
%
% cnf(179907952,plain,(~in_environment(A,t)|greater(zero,growth_rate(B,t))|~greater(resilience(efficient_producers),resilience(B))),inference(resolution,[status(thm)],[166452992,179813960]),[]).
%
% fof(a2,plain,(greater(resilience(efficient_producers),resilience(first_movers))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+2.tptp',unknown),[]).
%
% cnf(166425576,plain,(greater(resilience(efficient_producers),resilience(first_movers))),inference(rewrite,[status(thm)],[a2]),[]).
%
% cnf(179916888,plain,(~in_environment(A,t)|greater(zero,growth_rate(first_movers,t))),inference(resolution,[status(thm)],[179907952,166425576]),[]).
%
% fof(mp_time_point_occur,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(166326904,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|in_environment(A,B)),inference(rewrite,[status(thm)],[mp_time_point_occur]),[]).
%
% cnf(179631608,plain,(~subpopulations(first_movers,efficient_producers,e,A)|in_environment(e,A)),inference(resolution,[status(thm)],[166326904,166515000]),[]).
%
% cnf(179764016,plain,(in_environment(e,t)),inference(resolution,[status(thm)],[179631608,166507456]),[]).
%
% cnf(179921640,plain,(greater(zero,growth_rate(first_movers,t))),inference(resolution,[status(thm)],[179916888,179764016]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[179819248,166365832,179921640]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------