TSTP Solution File: MGT036+3 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT036+3 : TPTP v3.4.2. Released v2.0.0.
% 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 14:02:32 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 52 ( 25 ~; 22 |; 5 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a13_star,plain,
( environment(e)
& subpopulations(first_movers,efficient_producers,e,t)
& greater_or_equal(growth_rate(first_movers,t),zero)
& greater(zero,growth_rate(efficient_producers,t)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+3.tptp',unknown),
[] ).
cnf(159880104,plain,
environment(e),
inference(rewrite,[status(thm)],[a13_star]),
[] ).
fof(prove_t5_star,plain,
! [A,B] :
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ outcompetes(first_movers,efficient_producers,B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+3.tptp',unknown),
[] ).
cnf(159919064,plain,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ outcompetes(first_movers,efficient_producers,B) ),
inference(rewrite,[status(thm)],[prove_t5_star]),
[] ).
cnf(159871000,plain,
subpopulations(first_movers,efficient_producers,e,t),
inference(rewrite,[status(thm)],[a13_star]),
[] ).
cnf(167877768,plain,
~ outcompetes(first_movers,efficient_producers,t),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159880104,159919064,159871000]),
[] ).
cnf(159850016,plain,
greater(zero,growth_rate(efficient_producers,t)),
inference(rewrite,[status(thm)],[a13_star]),
[] ).
cnf(159861792,plain,
greater_or_equal(growth_rate(first_movers,t),zero),
inference(rewrite,[status(thm)],[a13_star]),
[] ).
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+3.tptp',unknown),
[] ).
cnf(159814200,plain,
( ~ 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) ),
inference(rewrite,[status(thm)],[d2]),
[] ).
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+3.tptp',unknown),
[] ).
cnf(159775840,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| subpopulations(C,B,A,D) ),
inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations]),
[] ).
cnf(167867776,plain,
subpopulations(efficient_producers,first_movers,e,t),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159880104,159775840,159871000]),
[] ).
cnf(168062096,plain,
outcompetes(first_movers,efficient_producers,t),
inference(forward_subsumption_resolution__resolution,[status(thm)],[159880104,159850016,159861792,159814200,167867776]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[167877768,168062096]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a13_star,plain,((environment(e)&subpopulations(first_movers,efficient_producers,e,t)&greater_or_equal(growth_rate(first_movers,t),zero)&greater(zero,growth_rate(efficient_producers,t)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+3.tptp',unknown),[]).
%
% cnf(159880104,plain,(environment(e)),inference(rewrite,[status(thm)],[a13_star]),[]).
%
% fof(prove_t5_star,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~outcompetes(first_movers,efficient_producers,B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT036+3.tptp',unknown),[]).
%
% cnf(159919064,plain,(~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)|~outcompetes(first_movers,efficient_producers,B)),inference(rewrite,[status(thm)],[prove_t5_star]),[]).
%
% cnf(159871000,plain,(subpopulations(first_movers,efficient_producers,e,t)),inference(rewrite,[status(thm)],[a13_star]),[]).
%
% cnf(167877768,plain,(~outcompetes(first_movers,efficient_producers,t)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159880104,159919064,159871000]),[]).
%
% cnf(159850016,plain,(greater(zero,growth_rate(efficient_producers,t))),inference(rewrite,[status(thm)],[a13_star]),[]).
%
% cnf(159861792,plain,(greater_or_equal(growth_rate(first_movers,t),zero)),inference(rewrite,[status(thm)],[a13_star]),[]).
%
% 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+3.tptp',unknown),[]).
%
% cnf(159814200,plain,(~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)),inference(rewrite,[status(thm)],[d2]),[]).
%
% 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+3.tptp',unknown),[]).
%
% cnf(159775840,plain,(~environment(A)|~subpopulations(B,C,A,D)|subpopulations(C,B,A,D)),inference(rewrite,[status(thm)],[mp_symmetry_of_subpopulations]),[]).
%
% cnf(167867776,plain,(subpopulations(efficient_producers,first_movers,e,t)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159880104,159775840,159871000]),[]).
%
% cnf(168062096,plain,(outcompetes(first_movers,efficient_producers,t)),inference(forward_subsumption_resolution__resolution,[status(thm)],[159880104,159850016,159861792,159814200,167867776]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[167877768,168062096]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------