TSTP Solution File: MGT023-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT023-1 : 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 14:00:57 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 87 ( 38 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 22 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_l5_24,plain,
stable(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166648328,plain,
stable(sk3),
inference(rewrite,[status(thm)],[prove_l5_24]),
[] ).
fof(l12_20,plain,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk2(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166604120,plain,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk2(A)) ),
inference(rewrite,[status(thm)],[l12_20]),
[] ).
fof(prove_l5_23,plain,
environment(sk3),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166643376,plain,
environment(sk3),
inference(rewrite,[status(thm)],[prove_l5_23]),
[] ).
cnf(179761968,plain,
in_environment(sk3,sk2(sk3)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166648328,166604120,166643376]),
[] ).
fof(l12_21,plain,
! [A] :
( ~ environment(A)
| ~ stable(A)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166613464,plain,
( ~ environment(A)
| ~ stable(A)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ),
inference(rewrite,[status(thm)],[l12_21]),
[] ).
cnf(179785616,plain,
~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166648328,166613464,166643376]),
[] ).
fof(d1_19,plain,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| $equal(critical_point(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166597808,plain,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1_19]),
[] ).
cnf(179966520,plain,
( ~ greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| $equal(critical_point(sk3),sk2(sk3)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[166643376,179785616,166597808,179761968]),
[] ).
fof(d1_18,plain,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk1(B,A),B)
| $equal(critical_point(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166568488,plain,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk1(B,A),B)
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1_18]),
[] ).
cnf(179822008,plain,
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ in_environment(sk3,A)
| greater(sk1(A,sk3),A)
| $equal(critical_point(sk3),A) ),
inference(resolution,[status(thm)],[166568488,166643376]),
[] ).
cnf(180114944,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| $equal(critical_point(sk3),sk2(sk3)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179761968,179822008,179785616]),
[] ).
fof(l12_22,plain,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(B,sk2(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166634464,plain,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(B,sk2(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(rewrite,[status(thm)],[l12_22]),
[] ).
fof(d1_17,plain,
! [A,B] :
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| $equal(critical_point(A),B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166548040,plain,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| $equal(critical_point(A),B) ),
inference(rewrite,[status(thm)],[d1_17]),
[] ).
cnf(179840280,plain,
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ in_environment(sk3,A)
| subpopulations(first_movers,efficient_producers,sk3,sk1(A,sk3))
| $equal(critical_point(sk3),A) ),
inference(resolution,[status(thm)],[166548040,166643376]),
[] ).
cnf(180502840,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| $equal(critical_point(sk3),sk2(sk3)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179761968,179840280,179785616]),
[] ).
cnf(180652200,plain,
$equal(critical_point(sk3),sk2(sk3)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[179966520,180114944,166643376,166648328,166634464,180502840]),
[] ).
fof(prove_l5_25,plain,
~ in_environment(sk3,critical_point(sk3)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),
[] ).
cnf(166653344,plain,
~ in_environment(sk3,critical_point(sk3)),
inference(rewrite,[status(thm)],[prove_l5_25]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[179761968,180652200,166653344,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_l5_24,plain,(stable(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166648328,plain,(stable(sk3)),inference(rewrite,[status(thm)],[prove_l5_24]),[]).
%
% fof(l12_20,plain,(~environment(A)|~stable(A)|in_environment(A,sk2(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166604120,plain,(~environment(A)|~stable(A)|in_environment(A,sk2(A))),inference(rewrite,[status(thm)],[l12_20]),[]).
%
% fof(prove_l5_23,plain,(environment(sk3)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166643376,plain,(environment(sk3)),inference(rewrite,[status(thm)],[prove_l5_23]),[]).
%
% cnf(179761968,plain,(in_environment(sk3,sk2(sk3))),inference(forward_subsumption_resolution__resolution,[status(thm)],[166648328,166604120,166643376]),[]).
%
% fof(l12_21,plain,(~environment(A)|~stable(A)|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166613464,plain,(~environment(A)|~stable(A)|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))),inference(rewrite,[status(thm)],[l12_21]),[]).
%
% cnf(179785616,plain,(~greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[166648328,166613464,166643376]),[]).
%
% fof(d1_19,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|$equal(critical_point(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166597808,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1_19]),[]).
%
% cnf(179966520,plain,(~greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))|$equal(critical_point(sk3),sk2(sk3))),inference(forward_subsumption_resolution__resolution,[status(thm)],[166643376,179785616,166597808,179761968]),[]).
%
% fof(d1_18,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|greater(sk1(B,A),B)|$equal(critical_point(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166568488,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|greater(sk1(B,A),B)|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1_18]),[]).
%
% cnf(179822008,plain,(greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|~in_environment(sk3,A)|greater(sk1(A,sk3),A)|$equal(critical_point(sk3),A)),inference(resolution,[status(thm)],[166568488,166643376]),[]).
%
% cnf(180114944,plain,(greater(sk1(sk2(sk3),sk3),sk2(sk3))|$equal(critical_point(sk3),sk2(sk3))),inference(forward_subsumption_resolution__resolution,[status(thm)],[179761968,179822008,179785616]),[]).
%
% fof(l12_22,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater(B,sk2(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166634464,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater(B,sk2(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(rewrite,[status(thm)],[l12_22]),[]).
%
% fof(d1_17,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|$equal(critical_point(A),B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166548040,plain,(~environment(A)|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))|~in_environment(A,B)|subpopulations(first_movers,efficient_producers,A,sk1(B,A))|$equal(critical_point(A),B)),inference(rewrite,[status(thm)],[d1_17]),[]).
%
% cnf(179840280,plain,(greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))|~in_environment(sk3,A)|subpopulations(first_movers,efficient_producers,sk3,sk1(A,sk3))|$equal(critical_point(sk3),A)),inference(resolution,[status(thm)],[166548040,166643376]),[]).
%
% cnf(180502840,plain,(subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|$equal(critical_point(sk3),sk2(sk3))),inference(forward_subsumption_resolution__resolution,[status(thm)],[179761968,179840280,179785616]),[]).
%
% cnf(180652200,plain,($equal(critical_point(sk3),sk2(sk3))),inference(forward_subsumption_resolution__resolution,[status(thm)],[179966520,180114944,166643376,166648328,166634464,180502840]),[]).
%
% fof(prove_l5_25,plain,(~in_environment(sk3,critical_point(sk3))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT023-1.tptp',unknown),[]).
%
% cnf(166653344,plain,(~in_environment(sk3,critical_point(sk3))),inference(rewrite,[status(thm)],[prove_l5_25]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[179761968,180652200,166653344,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------