TSTP Solution File: MGT022-2 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : MGT022-2 : 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 14:00:51 EDT 2009
% Result : Unsatisfiable 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 9 unt; 0 def)
% Number of atoms : 59 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 65 ( 32 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 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 : 24 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(a2_4,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161142608,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(rewrite,[status(thm)],[a2_4]),
[] ).
fof(a6_3,plain,
! [A,B,C,D] :
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161137736,plain,
( ~ environment(A)
| ~ subpopulations(B,C,A,D)
| ~ greater(resilience(C),resilience(B))
| ~ constant(resources(A,D))
| constant(difference(disbanding_rate(B,D),disbanding_rate(C,D))) ),
inference(rewrite,[status(thm)],[a6_3]),
[] ).
fof(prove_l4_5,plain,
environment(sk1),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161151808,plain,
environment(sk1),
inference(rewrite,[status(thm)],[prove_l4_5]),
[] ).
cnf(182262840,plain,
( ~ subpopulations(A,B,sk1,C)
| ~ greater(resilience(B),resilience(A))
| ~ constant(resources(sk1,C))
| constant(difference(disbanding_rate(A,C),disbanding_rate(B,C))) ),
inference(resolution,[status(thm)],[161137736,161151808]),
[] ).
fof(prove_l4_6,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161156872,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(rewrite,[status(thm)],[prove_l4_6]),
[] ).
cnf(182345152,plain,
( ~ constant(resources(sk1,sk2))
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161142608,182262840,161156872]),
[] ).
fof(a6_2,plain,
! [A,B,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))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161115496,plain,
( ~ 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))) ),
inference(rewrite,[status(thm)],[a6_2]),
[] ).
cnf(182247872,plain,
( ~ subpopulations(A,B,sk1,C)
| ~ greater(resilience(B),resilience(A))
| ~ decreases(resources(sk1,C))
| increases(difference(disbanding_rate(A,C),disbanding_rate(B,C))) ),
inference(resolution,[status(thm)],[161115496,161151808]),
[] ).
cnf(182330456,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[161142608,182247872,161156872]),
[] ).
fof(prove_l4_9,plain,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161179440,plain,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
inference(rewrite,[status(thm)],[prove_l4_9]),
[] ).
fof(mp_constant_not_decrease_1,plain,
! [A] :
( ~ constant(A)
| ~ decreases(A) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161043464,plain,
( ~ constant(A)
| ~ decreases(A) ),
inference(rewrite,[status(thm)],[mp_constant_not_decrease_1]),
[] ).
cnf(182371192,plain,
~ decreases(resources(sk1,sk2)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[182330456,161179440,161043464]),
[] ).
fof(prove_l4_7,plain,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161163544,plain,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
inference(rewrite,[status(thm)],[prove_l4_7]),
[] ).
cnf(182376672,plain,
constant(resources(sk1,sk2)),
inference(resolution,[status(thm)],[182371192,161163544]),
[] ).
fof(prove_l4_8,plain,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),
[] ).
cnf(161172648,plain,
( decreases(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(rewrite,[status(thm)],[prove_l4_8]),
[] ).
cnf(182352784,plain,
( ~ constant(resources(sk1,sk2))
| decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[status(thm)],[161043464,161172648]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[182345152,182376672,182352784,161043464]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(a2_4,plain,(greater(resilience(efficient_producers),resilience(first_movers))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161142608,plain,(greater(resilience(efficient_producers),resilience(first_movers))),inference(rewrite,[status(thm)],[a2_4]),[]).
%
% fof(a6_3,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))|~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161137736,plain,(~environment(A)|~subpopulations(B,C,A,D)|~greater(resilience(C),resilience(B))|~constant(resources(A,D))|constant(difference(disbanding_rate(B,D),disbanding_rate(C,D)))),inference(rewrite,[status(thm)],[a6_3]),[]).
%
% fof(prove_l4_5,plain,(environment(sk1)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161151808,plain,(environment(sk1)),inference(rewrite,[status(thm)],[prove_l4_5]),[]).
%
% cnf(182262840,plain,(~subpopulations(A,B,sk1,C)|~greater(resilience(B),resilience(A))|~constant(resources(sk1,C))|constant(difference(disbanding_rate(A,C),disbanding_rate(B,C)))),inference(resolution,[status(thm)],[161137736,161151808]),[]).
%
% fof(prove_l4_6,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161156872,plain,(subpopulations(first_movers,efficient_producers,sk1,sk2)),inference(rewrite,[status(thm)],[prove_l4_6]),[]).
%
% cnf(182345152,plain,(~constant(resources(sk1,sk2))|constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[161142608,182262840,161156872]),[]).
%
% fof(a6_2,plain,(~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)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161115496,plain,(~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)))),inference(rewrite,[status(thm)],[a6_2]),[]).
%
% cnf(182247872,plain,(~subpopulations(A,B,sk1,C)|~greater(resilience(B),resilience(A))|~decreases(resources(sk1,C))|increases(difference(disbanding_rate(A,C),disbanding_rate(B,C)))),inference(resolution,[status(thm)],[161115496,161151808]),[]).
%
% cnf(182330456,plain,(~decreases(resources(sk1,sk2))|increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(forward_subsumption_resolution__resolution,[status(thm)],[161142608,182247872,161156872]),[]).
%
% fof(prove_l4_9,plain,(~increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))|constant(resources(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161179440,plain,(~increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))|constant(resources(sk1,sk2))),inference(rewrite,[status(thm)],[prove_l4_9]),[]).
%
% fof(mp_constant_not_decrease_1,plain,(~constant(A)|~decreases(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161043464,plain,(~constant(A)|~decreases(A)),inference(rewrite,[status(thm)],[mp_constant_not_decrease_1]),[]).
%
% cnf(182371192,plain,(~decreases(resources(sk1,sk2))),inference(forward_subsumption_resolution__resolution,[status(thm)],[182330456,161179440,161043464]),[]).
%
% fof(prove_l4_7,plain,(decreases(resources(sk1,sk2))|constant(resources(sk1,sk2))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161163544,plain,(decreases(resources(sk1,sk2))|constant(resources(sk1,sk2))),inference(rewrite,[status(thm)],[prove_l4_7]),[]).
%
% cnf(182376672,plain,(constant(resources(sk1,sk2))),inference(resolution,[status(thm)],[182371192,161163544]),[]).
%
% fof(prove_l4_8,plain,(decreases(resources(sk1,sk2))|decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT022-2.tptp',unknown),[]).
%
% cnf(161172648,plain,(decreases(resources(sk1,sk2))|decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(rewrite,[status(thm)],[prove_l4_8]),[]).
%
% cnf(182352784,plain,(~constant(resources(sk1,sk2))|decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))),inference(resolution,[status(thm)],[161043464,161172648]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[182345152,182376672,182352784,161043464]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------