TSTP Solution File: MGT032-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT032-2 : TPTP v3.4.2. Released v2.4.0.
% 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 14:01:51 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 56 ( 30 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_t1_4,plain,
environment(sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157923816,plain,
environment(sk2),
inference(rewrite,[status(thm)],[prove_t1_4]),
[] ).
fof(prove_t1_5,plain,
stable(sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157932872,plain,
stable(sk2),
inference(rewrite,[status(thm)],[prove_t1_5]),
[] ).
fof(prove_t1_6,plain,
! [A] :
( ~ in_environment(sk2,A)
| subpopulations(first_movers,efficient_producers,sk2,sk3(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157939712,plain,
( ~ in_environment(sk2,A)
| subpopulations(first_movers,efficient_producers,sk2,sk3(A)) ),
inference(rewrite,[status(thm)],[prove_t1_6]),
[] ).
fof(l1_2,plain,
! [A] :
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk1(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157873976,plain,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk1(A)) ),
inference(rewrite,[status(thm)],[l1_2]),
[] ).
cnf(176348840,plain,
in_environment(sk2,sk1(sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157932872,157873976,157923816]),
[] ).
cnf(176427064,plain,
subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))),
inference(resolution,[status(thm)],[157939712,176348840]),
[] ).
fof(l1_3,plain,
! [A,B] :
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk1(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157918800,plain,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk1(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(rewrite,[status(thm)],[l1_3]),
[] ).
fof(prove_t1_7,plain,
! [A] :
( ~ in_environment(sk2,A)
| greater_or_equal(sk3(A),A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157944800,plain,
( ~ in_environment(sk2,A)
| greater_or_equal(sk3(A),A) ),
inference(rewrite,[status(thm)],[prove_t1_7]),
[] ).
cnf(176417208,plain,
greater_or_equal(sk3(sk1(sk2)),sk1(sk2)),
inference(resolution,[status(thm)],[157944800,176348840]),
[] ).
cnf(176549272,plain,
greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[157923816,157932872,176427064,157918800,176417208]),
[] ).
fof(mp1_high_growth_rates_1,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| selection_favors(C,B,D) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157866880,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(growth_rate(C,D),growth_rate(B,D))
| selection_favors(C,B,D) ),
inference(rewrite,[status(thm)],[mp1_high_growth_rates_1]),
[] ).
cnf(176368656,plain,
( ~ subpopulations(A,B,sk2,C)
| ~ greater(growth_rate(B,C),growth_rate(A,C))
| selection_favors(B,A,C) ),
inference(resolution,[status(thm)],[157866880,157923816]),
[] ).
fof(prove_t1_8,plain,
! [A] :
( ~ in_environment(sk2,A)
| ~ selection_favors(efficient_producers,first_movers,sk3(A)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),
[] ).
cnf(157953992,plain,
( ~ in_environment(sk2,A)
| ~ selection_favors(efficient_producers,first_movers,sk3(A)) ),
inference(rewrite,[status(thm)],[prove_t1_8]),
[] ).
cnf(176440912,plain,
~ selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))),
inference(resolution,[status(thm)],[157953992,176348840]),
[] ).
cnf(176477368,plain,
~ greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[176427064,176368656,176440912]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[176549272,176477368]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_t1_4,plain,(environment(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157923816,plain,(environment(sk2)),inference(rewrite,[status(thm)],[prove_t1_4]),[]).
%
% fof(prove_t1_5,plain,(stable(sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157932872,plain,(stable(sk2)),inference(rewrite,[status(thm)],[prove_t1_5]),[]).
%
% fof(prove_t1_6,plain,(~in_environment(sk2,A)|subpopulations(first_movers,efficient_producers,sk2,sk3(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157939712,plain,(~in_environment(sk2,A)|subpopulations(first_movers,efficient_producers,sk2,sk3(A))),inference(rewrite,[status(thm)],[prove_t1_6]),[]).
%
% fof(l1_2,plain,(~environment(A)|~stable(A)|in_environment(A,sk1(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157873976,plain,(~environment(A)|~stable(A)|in_environment(A,sk1(A))),inference(rewrite,[status(thm)],[l1_2]),[]).
%
% cnf(176348840,plain,(in_environment(sk2,sk1(sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[157932872,157873976,157923816]),[]).
%
% cnf(176427064,plain,(subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2)))),inference(resolution,[status(thm)],[157939712,176348840]),[]).
%
% fof(l1_3,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater_or_equal(B,sk1(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157918800,plain,(~environment(A)|~stable(A)|~subpopulations(first_movers,efficient_producers,A,B)|~greater_or_equal(B,sk1(A))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(rewrite,[status(thm)],[l1_3]),[]).
%
% fof(prove_t1_7,plain,(~in_environment(sk2,A)|greater_or_equal(sk3(A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157944800,plain,(~in_environment(sk2,A)|greater_or_equal(sk3(A),A)),inference(rewrite,[status(thm)],[prove_t1_7]),[]).
%
% cnf(176417208,plain,(greater_or_equal(sk3(sk1(sk2)),sk1(sk2))),inference(resolution,[status(thm)],[157944800,176348840]),[]).
%
% cnf(176549272,plain,(greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[157923816,157932872,176427064,157918800,176417208]),[]).
%
% fof(mp1_high_growth_rates_1,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(growth_rate(C,D),growth_rate(B,D))|selection_favors(C,B,D)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157866880,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(growth_rate(C,D),growth_rate(B,D))|selection_favors(C,B,D)),inference(rewrite,[status(thm)],[mp1_high_growth_rates_1]),[]).
%
% cnf(176368656,plain,(~subpopulations(A,B,sk2,C)|~greater(growth_rate(B,C),growth_rate(A,C))|selection_favors(B,A,C)),inference(resolution,[status(thm)],[157866880,157923816]),[]).
%
% fof(prove_t1_8,plain,(~in_environment(sk2,A)|~selection_favors(efficient_producers,first_movers,sk3(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032-2.tptp',unknown),[]).
%
% cnf(157953992,plain,(~in_environment(sk2,A)|~selection_favors(efficient_producers,first_movers,sk3(A))),inference(rewrite,[status(thm)],[prove_t1_8]),[]).
%
% cnf(176440912,plain,(~selection_favors(efficient_producers,first_movers,sk3(sk1(sk2)))),inference(resolution,[status(thm)],[157953992,176348840]),[]).
%
% cnf(176477368,plain,(~greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[176427064,176368656,176440912]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[176549272,176477368]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------