TSTP Solution File: MGT023+1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT023+1 : TPTP v3.4.2. Released v2.0.0.
% 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 14:00:56 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 83 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 104 ( 44 ~; 54 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_l5,plain,
( environment(e)
& stable(e)
& ~ in_environment(e,critical_point(e)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+1.tptp',unknown),
[] ).
cnf(163072216,plain,
environment(e),
inference(rewrite,[status(thm)],[prove_l5]),
[] ).
fof(l12,plain,
! [A,C] :
( ( ~ greater(growth_rate(efficient_producers,to(A)),growth_rate(first_movers,to(A)))
| ~ environment(A)
| ~ stable(A) )
& ( ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,to(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ environment(A)
| ~ stable(A) )
& ( in_environment(A,to(A))
| ~ environment(A)
| ~ stable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+1.tptp',unknown),
[] ).
cnf(162959224,plain,
( in_environment(A,to(A))
| ~ environment(A)
| ~ stable(A) ),
inference(rewrite,[status(thm)],[l12]),
[] ).
cnf(163063144,plain,
stable(e),
inference(rewrite,[status(thm)],[prove_l5]),
[] ).
cnf(176179648,plain,
in_environment(e,to(e)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163072216,162959224,163063144]),
[] ).
cnf(163005024,plain,
( ~ greater(growth_rate(efficient_producers,to(A)),growth_rate(first_movers,to(A)))
| ~ environment(A)
| ~ stable(A) ),
inference(rewrite,[status(thm)],[l12]),
[] ).
cnf(176202472,plain,
~ greater(growth_rate(efficient_producers,to(e)),growth_rate(first_movers,to(e))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163072216,163005024,163063144]),
[] ).
fof(d1,plain,
! [A,B] :
( ( ~ greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A)
| $equal(critical_point(A),B) )
& ( subpopulations(first_movers,efficient_producers,A,t(A,B))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A)
| $equal(critical_point(A),B) )
& ( greater(t(A,B),B)
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A)
| $equal(critical_point(A),B) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+1.tptp',unknown),
[] ).
cnf(162951304,plain,
( ~ greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A)
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1]),
[] ).
cnf(176317544,plain,
( ~ greater(growth_rate(efficient_producers,t(e,A)),growth_rate(first_movers,t(e,A)))
| ~ in_environment(e,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| $equal(critical_point(e),A) ),
inference(resolution,[status(thm)],[162951304,163072216]),
[] ).
cnf(176380792,plain,
( ~ greater(growth_rate(efficient_producers,t(e,to(e))),growth_rate(first_movers,t(e,to(e))))
| $equal(critical_point(e),to(e)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176202472,176317544,176179648]),
[] ).
cnf(162922936,plain,
( greater(t(A,B),B)
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A)
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1]),
[] ).
cnf(176413576,plain,
( greater(t(A,to(e)),to(e))
| ~ in_environment(A,to(e))
| ~ environment(A)
| $equal(critical_point(A),to(e)) ),
inference(resolution,[status(thm)],[162922936,176202472]),
[] ).
cnf(176423520,plain,
( greater(t(e,to(e)),to(e))
| $equal(critical_point(e),to(e)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176179648,176413576,163072216]),
[] ).
cnf(162935192,plain,
( subpopulations(first_movers,efficient_producers,A,t(A,B))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A)
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1]),
[] ).
cnf(176500664,plain,
( subpopulations(first_movers,efficient_producers,A,t(A,to(e)))
| ~ in_environment(A,to(e))
| ~ environment(A)
| $equal(critical_point(A),to(e)) ),
inference(resolution,[status(thm)],[162935192,176202472]),
[] ).
cnf(176506456,plain,
( subpopulations(first_movers,efficient_producers,e,t(e,to(e)))
| $equal(critical_point(e),to(e)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176179648,176500664,163072216]),
[] ).
cnf(162997488,plain,
( ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,to(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ environment(A)
| ~ stable(A) ),
inference(rewrite,[status(thm)],[l12]),
[] ).
cnf(176229856,plain,
( ~ subpopulations(first_movers,efficient_producers,e,B)
| ~ greater(B,to(e))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[163072216,162997488,163063144]),
[] ).
cnf(177543480,plain,
$equal(critical_point(e),to(e)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176380792,176423520,176506456,176229856]),
[] ).
cnf(163049720,plain,
~ in_environment(e,critical_point(e)),
inference(rewrite,[status(thm)],[prove_l5]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[176179648,177543480,163049720,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_l5,plain,((environment(e)&stable(e)&~in_environment(e,critical_point(e)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+1.tptp',unknown),[]).
%
% cnf(163072216,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_l5]),[]).
%
% fof(l12,plain,(((~greater(growth_rate(efficient_producers,to(A)),growth_rate(first_movers,to(A)))|~environment(A)|~stable(A))&(~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,to(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))|~environment(A)|~stable(A))&(in_environment(A,to(A))|~environment(A)|~stable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+1.tptp',unknown),[]).
%
% cnf(162959224,plain,(in_environment(A,to(A))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l12]),[]).
%
% cnf(163063144,plain,(stable(e)),inference(rewrite,[status(thm)],[prove_l5]),[]).
%
% cnf(176179648,plain,(in_environment(e,to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163072216,162959224,163063144]),[]).
%
% cnf(163005024,plain,(~greater(growth_rate(efficient_producers,to(A)),growth_rate(first_movers,to(A)))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l12]),[]).
%
% cnf(176202472,plain,(~greater(growth_rate(efficient_producers,to(e)),growth_rate(first_movers,to(e)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163072216,163005024,163063144]),[]).
%
% fof(d1,plain,(((~greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B))&(subpopulations(first_movers,efficient_producers,A,t(A,B))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B))&(greater(t(A,B),B)|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023+1.tptp',unknown),[]).
%
% cnf(162951304,plain,(~greater(growth_rate(efficient_producers,t(A,B)),growth_rate(first_movers,t(A,B)))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1]),[]).
%
% cnf(176317544,plain,(~greater(growth_rate(efficient_producers,t(e,A)),growth_rate(first_movers,t(e,A)))|~in_environment(e,A)|greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|$equal(critical_point(e),A)),inference(resolution,[status(thm)],[162951304,163072216]),[]).
%
% cnf(176380792,plain,(~greater(growth_rate(efficient_producers,t(e,to(e))),growth_rate(first_movers,t(e,to(e))))|$equal(critical_point(e),to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[176202472,176317544,176179648]),[]).
%
% cnf(162922936,plain,(greater(t(A,B),B)|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1]),[]).
%
% cnf(176413576,plain,(greater(t(A,to(e)),to(e))|~in_environment(A,to(e))|~environment(A)|$equal(critical_point(A),to(e))),inference(resolution,[status(thm)],[162922936,176202472]),[]).
%
% cnf(176423520,plain,(greater(t(e,to(e)),to(e))|$equal(critical_point(e),to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[176179648,176413576,163072216]),[]).
%
% cnf(162935192,plain,(subpopulations(first_movers,efficient_producers,A,t(A,B))|~in_environment(A,B)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~environment(A)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1]),[]).
%
% cnf(176500664,plain,(subpopulations(first_movers,efficient_producers,A,t(A,to(e)))|~in_environment(A,to(e))|~environment(A)|$equal(critical_point(A),to(e))),inference(resolution,[status(thm)],[162935192,176202472]),[]).
%
% cnf(176506456,plain,(subpopulations(first_movers,efficient_producers,e,t(e,to(e)))|$equal(critical_point(e),to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[176179648,176500664,163072216]),[]).
%
% cnf(162997488,plain,(~subpopulations(first_movers,efficient_producers,A,C)|~greater(C,to(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l12]),[]).
%
% cnf(176229856,plain,(~subpopulations(first_movers,efficient_producers,e,B)|~greater(B,to(e))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[163072216,162997488,163063144]),[]).
%
% cnf(177543480,plain,($equal(critical_point(e),to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[176380792,176423520,176506456,176229856]),[]).
%
% cnf(163049720,plain,(~in_environment(e,critical_point(e))),inference(rewrite,[status(thm)],[prove_l5]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[176179648,177543480,163049720,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------