%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT022+2 : 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 14:00:51 EDT 2009
% Result : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 7 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 105 ( 39 ~; 50 |; 16 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a6,plain,
! [A,D,B,C] :
( ( ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) )
& ( ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),
[] ).
cnf(142728232,plain,
( ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) ),
inference(rewrite,[status(thm)],[a6]),
[] ).
fof(prove_l4,plain,
( ( environment(e)
| constant(resources(e,t)) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| constant(resources(e,t)) )
& ( decreases(resources(e,t))
| constant(resources(e,t)) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| constant(resources(e,t)) )
& ( environment(e)
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( decreases(resources(e,t))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) )
& ( environment(e)
| environment(e) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| environment(e) )
& ( decreases(resources(e,t))
| environment(e) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| environment(e) )
& ( environment(e)
| subpopulations(first_movers,efficient_producers,e,t) )
& ( subpopulations(first_movers,efficient_producers,e,t)
| subpopulations(first_movers,efficient_producers,e,t) )
& ( decreases(resources(e,t))
| subpopulations(first_movers,efficient_producers,e,t) )
& ( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| subpopulations(first_movers,efficient_producers,e,t) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),
[] ).
cnf(142943760,plain,
environment(e),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(174612568,plain,
( ~ constant(resources(e,C))
| constant(difference(disbanding_rate(A,C),disbanding_rate(B,C)))
| ~ subpopulations(A,B,e,C)
| ~ greater(resilience(B),resilience(A)) ),
inference(resolution,[status(thm)],[142728232,142943760]),
[] ).
fof(a2,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),
[] ).
cnf(142733040,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(rewrite,[status(thm)],[a2]),
[] ).
cnf(174662000,plain,
( ~ constant(resources(e,A))
| constant(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
| ~ subpopulations(first_movers,efficient_producers,e,A) ),
inference(resolution,[status(thm)],[174612568,142733040]),
[] ).
cnf(142928840,plain,
subpopulations(first_movers,efficient_producers,e,t),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(174690640,plain,
( ~ constant(resources(e,t))
| constant(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(resolution,[status(thm)],[174662000,142928840]),
[] ).
cnf(142709312,plain,
( ~ decreases(resources(A,D))
| increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))
| ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B)) ),
inference(rewrite,[status(thm)],[a6]),
[] ).
cnf(174595176,plain,
( ~ decreases(resources(e,C))
| increases(difference(disbanding_rate(A,C),disbanding_rate(B,C)))
| ~ subpopulations(A,B,e,C)
| ~ greater(resilience(B),resilience(A)) ),
inference(resolution,[status(thm)],[142709312,142943760]),
[] ).
cnf(174651960,plain,
( ~ decreases(resources(e,A))
| increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))
| ~ subpopulations(first_movers,efficient_producers,e,A) ),
inference(resolution,[status(thm)],[174595176,142733040]),
[] ).
cnf(174672704,plain,
( ~ decreases(resources(e,t))
| increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(resolution,[status(thm)],[174651960,142928840]),
[] ).
cnf(142962704,plain,
( ~ increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))
| constant(resources(e,t)) ),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
fof(mp_constant_not_decrease,plain,
! [A] :
( ~ constant(A)
| ~ decreases(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),
[] ).
cnf(142650456,plain,
( ~ constant(A)
| ~ decreases(A) ),
inference(rewrite,[status(thm)],[mp_constant_not_decrease]),
[] ).
cnf(174717360,plain,
~ decreases(resources(e,t)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[174672704,142962704,142650456]),
[] ).
cnf(142971752,plain,
( decreases(resources(e,t))
| constant(resources(e,t)) ),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(174723648,plain,
constant(resources(e,t)),
inference(resolution,[status(thm)],[174717360,142971752]),
[] ).
cnf(142957568,plain,
( decreases(resources(e,t))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(rewrite,[status(thm)],[prove_l4]),
[] ).
cnf(174699072,plain,
( ~ constant(resources(e,t))
| decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))) ),
inference(resolution,[status(thm)],[142650456,142957568]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[174690640,174723648,174699072,142650456]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a6,plain,(((~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B)))&(~decreases(resources(A,D))|increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),[]).
%
% cnf(142728232,plain,(~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))),inference(rewrite,[status(thm)],[a6]),[]).
%
% fof(prove_l4,plain,(((environment(e)|constant(resources(e,t)))&(subpopulations(first_movers,efficient_producers,e,t)|constant(resources(e,t)))&(decreases(resources(e,t))|constant(resources(e,t)))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|constant(resources(e,t)))&(environment(e)|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(subpopulations(first_movers,efficient_producers,e,t)|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(decreases(resources(e,t))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t))))&(environment(e)|environment(e))&(subpopulations(first_movers,efficient_producers,e,t)|environment(e))&(decreases(resources(e,t))|environment(e))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|environment(e))&(environment(e)|subpopulations(first_movers,efficient_producers,e,t))&(subpopulations(first_movers,efficient_producers,e,t)|subpopulations(first_movers,efficient_producers,e,t))&(decreases(resources(e,t))|subpopulations(first_movers,efficient_producers,e,t))&(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|subpopulations(first_movers,efficient_producers,e,t)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),[]).
%
% cnf(142943760,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(174612568,plain,(~constant(resources(e,C))|constant(difference(disbanding_rate(A,C),disbanding_rate(B,C)))|~subpopulations(A,B,e,C)|~greater(resilience(B),resilience(A))),inference(resolution,[status(thm)],[142728232,142943760]),[]).
%
% fof(a2,plain,(greater(resilience(efficient_producers),resilience(first_movers))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),[]).
%
% cnf(142733040,plain,(greater(resilience(efficient_producers),resilience(first_movers))),inference(rewrite,[status(thm)],[a2]),[]).
%
% cnf(174662000,plain,(~constant(resources(e,A))|constant(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))|~subpopulations(first_movers,efficient_producers,e,A)),inference(resolution,[status(thm)],[174612568,142733040]),[]).
%
% cnf(142928840,plain,(subpopulations(first_movers,efficient_producers,e,t)),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(174690640,plain,(~constant(resources(e,t))|constant(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(resolution,[status(thm)],[174662000,142928840]),[]).
%
% cnf(142709312,plain,(~decreases(resources(A,D))|increases(difference(disbanding_rate(B,D),disbanding_rate(C,D)))|~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))),inference(rewrite,[status(thm)],[a6]),[]).
%
% cnf(174595176,plain,(~decreases(resources(e,C))|increases(difference(disbanding_rate(A,C),disbanding_rate(B,C)))|~subpopulations(A,B,e,C)|~greater(resilience(B),resilience(A))),inference(resolution,[status(thm)],[142709312,142943760]),[]).
%
% cnf(174651960,plain,(~decreases(resources(e,A))|increases(difference(disbanding_rate(first_movers,A),disbanding_rate(efficient_producers,A)))|~subpopulations(first_movers,efficient_producers,e,A)),inference(resolution,[status(thm)],[174595176,142733040]),[]).
%
% cnf(174672704,plain,(~decreases(resources(e,t))|increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(resolution,[status(thm)],[174651960,142928840]),[]).
%
% cnf(142962704,plain,(~increases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))|constant(resources(e,t))),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% fof(mp_constant_not_decrease,plain,(~constant(A)|~decreases(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022+2.tptp',unknown),[]).
%
% cnf(142650456,plain,(~constant(A)|~decreases(A)),inference(rewrite,[status(thm)],[mp_constant_not_decrease]),[]).
%
% cnf(174717360,plain,(~decreases(resources(e,t))),inference(forward_subsumption_resolution__resolution,[status(thm)],[174672704,142962704,142650456]),[]).
%
% cnf(142971752,plain,(decreases(resources(e,t))|constant(resources(e,t))),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(174723648,plain,(constant(resources(e,t))),inference(resolution,[status(thm)],[174717360,142971752]),[]).
%
% cnf(142957568,plain,(decreases(resources(e,t))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(rewrite,[status(thm)],[prove_l4]),[]).
%
% cnf(174699072,plain,(~constant(resources(e,t))|decreases(difference(disbanding_rate(first_movers,t),disbanding_rate(efficient_producers,t)))),inference(resolution,[status(thm)],[142650456,142957568]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[174690640,174723648,174699072,142650456]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------