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 v2.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art07.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 : Theorem 0.1s
% Output : Refutation 0.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 74 ( 0 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 90 ( 35 ~; 40 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 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 : 21 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_t1,plain,
! [B] :
( ( environment(e)
| subpopulations(first_movers,efficient_producers,e,t(B)) )
& ( stable(e)
| subpopulations(first_movers,efficient_producers,e,t(B)) )
& ( ~ in_environment(e,B)
| subpopulations(first_movers,efficient_producers,e,t(B)) )
& ( environment(e)
| greater_or_equal(t(B),B) )
& ( stable(e)
| greater_or_equal(t(B),B) )
& ( ~ in_environment(e,B)
| greater_or_equal(t(B),B) )
& ( environment(e)
| ~ selection_favors(efficient_producers,first_movers,t(B)) )
& ( stable(e)
| ~ selection_favors(efficient_producers,first_movers,t(B)) )
& ( ~ in_environment(e,B)
| ~ selection_favors(efficient_producers,first_movers,t(B)) )
& ( environment(e)
| environment(e) )
& ( stable(e)
| environment(e) )
& ( ~ in_environment(e,B)
| environment(e) )
& ( environment(e)
| stable(e) )
& ( stable(e)
| stable(e) )
& ( ~ in_environment(e,B)
| stable(e) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032+2.tptp',unknown),
[] ).
cnf(144119216,plain,
( ~ in_environment(e,B)
| subpopulations(first_movers,efficient_producers,e,t(B)) ),
inference(rewrite,[status(thm)],[prove_t1]),
[] ).
cnf(144078600,plain,
environment(e),
inference(rewrite,[status(thm)],[prove_t1]),
[] ).
fof(l1,plain,
! [A,C] :
( ( ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater_or_equal(C,to(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ environment(A)
| ~ stable(A) )
& ( in_environment(A,to(A))
| ~ environment(A)
| ~ stable(A) ) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032+2.tptp',unknown),
[] ).
cnf(143841288,plain,
( in_environment(A,to(A))
| ~ environment(A)
| ~ stable(A) ),
inference(rewrite,[status(thm)],[l1]),
[] ).
cnf(144068656,plain,
stable(e),
inference(rewrite,[status(thm)],[prove_t1]),
[] ).
cnf(167809968,plain,
in_environment(e,to(e)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144078600,143841288,144068656]),
[] ).
cnf(167902944,plain,
subpopulations(first_movers,efficient_producers,e,t(to(e))),
inference(resolution,[status(thm)],[144119216,167809968]),
[] ).
cnf(143894280,plain,
( ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater_or_equal(C,to(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ environment(A)
| ~ stable(A) ),
inference(rewrite,[status(thm)],[l1]),
[] ).
cnf(167835656,plain,
( ~ subpopulations(first_movers,efficient_producers,e,B)
| ~ greater_or_equal(B,to(e))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ),
inference(forward_subsumption_resolution__resolution,[status(thm)],[144078600,143894280,144068656]),
[] ).
cnf(144109928,plain,
( ~ in_environment(e,B)
| greater_or_equal(t(B),B) ),
inference(rewrite,[status(thm)],[prove_t1]),
[] ).
cnf(167879056,plain,
greater_or_equal(t(to(e)),to(e)),
inference(resolution,[status(thm)],[144109928,167809968]),
[] ).
cnf(167928264,plain,
greater(growth_rate(efficient_producers,t(to(e))),growth_rate(first_movers,t(to(e)))),
inference(forward_subsumption_resolution__resolution,[status(thm)],[167902944,167835656,167879056]),
[] ).
fof(mp1_high_growth_rates,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(143828496,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]),
[] ).
cnf(167855544,plain,
( ~ subpopulations(A,B,e,C)
| ~ greater(growth_rate(B,C),growth_rate(A,C))
| selection_favors(B,A,C) ),
inference(resolution,[status(thm)],[143828496,144078600]),
[] ).
cnf(144094952,plain,
( ~ in_environment(e,B)
| ~ selection_favors(efficient_producers,first_movers,t(B)) ),
inference(rewrite,[status(thm)],[prove_t1]),
[] ).
cnf(167892968,plain,
~ selection_favors(efficient_producers,first_movers,t(to(e))),
inference(resolution,[status(thm)],[144094952,167809968]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[167928264,167902944,167855544,167892968]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_t1,plain,(((environment(e)|subpopulations(first_movers,efficient_producers,e,t(B)))&(stable(e)|subpopulations(first_movers,efficient_producers,e,t(B)))&(~in_environment(e,B)|subpopulations(first_movers,efficient_producers,e,t(B)))&(environment(e)|greater_or_equal(t(B),B))&(stable(e)|greater_or_equal(t(B),B))&(~in_environment(e,B)|greater_or_equal(t(B),B))&(environment(e)|~selection_favors(efficient_producers,first_movers,t(B)))&(stable(e)|~selection_favors(efficient_producers,first_movers,t(B)))&(~in_environment(e,B)|~selection_favors(efficient_producers,first_movers,t(B)))&(environment(e)|environment(e))&(stable(e)|environment(e))&(~in_environment(e,B)|environment(e))&(environment(e)|stable(e))&(stable(e)|stable(e))&(~in_environment(e,B)|stable(e)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032+2.tptp',unknown),[]).
%
% cnf(144119216,plain,(~in_environment(e,B)|subpopulations(first_movers,efficient_producers,e,t(B))),inference(rewrite,[status(thm)],[prove_t1]),[]).
%
% cnf(144078600,plain,(environment(e)),inference(rewrite,[status(thm)],[prove_t1]),[]).
%
% fof(l1,plain,(((~subpopulations(first_movers,efficient_producers,A,C)|~greater_or_equal(C,to(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))|~environment(A)|~stable(A))&(in_environment(A,to(A))|~environment(A)|~stable(A)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/MGT/MGT032+2.tptp',unknown),[]).
%
% cnf(143841288,plain,(in_environment(A,to(A))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l1]),[]).
%
% cnf(144068656,plain,(stable(e)),inference(rewrite,[status(thm)],[prove_t1]),[]).
%
% cnf(167809968,plain,(in_environment(e,to(e))),inference(forward_subsumption_resolution__resolution,[status(thm)],[144078600,143841288,144068656]),[]).
%
% cnf(167902944,plain,(subpopulations(first_movers,efficient_producers,e,t(to(e)))),inference(resolution,[status(thm)],[144119216,167809968]),[]).
%
% cnf(143894280,plain,(~subpopulations(first_movers,efficient_producers,A,C)|~greater_or_equal(C,to(A))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))|~environment(A)|~stable(A)),inference(rewrite,[status(thm)],[l1]),[]).
%
% cnf(167835656,plain,(~subpopulations(first_movers,efficient_producers,e,B)|~greater_or_equal(B,to(e))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[144078600,143894280,144068656]),[]).
%
% cnf(144109928,plain,(~in_environment(e,B)|greater_or_equal(t(B),B)),inference(rewrite,[status(thm)],[prove_t1]),[]).
%
% cnf(167879056,plain,(greater_or_equal(t(to(e)),to(e))),inference(resolution,[status(thm)],[144109928,167809968]),[]).
%
% cnf(167928264,plain,(greater(growth_rate(efficient_producers,t(to(e))),growth_rate(first_movers,t(to(e))))),inference(forward_subsumption_resolution__resolution,[status(thm)],[167902944,167835656,167879056]),[]).
%
% fof(mp1_high_growth_rates,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(143828496,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]),[]).
%
% cnf(167855544,plain,(~subpopulations(A,B,e,C)|~greater(growth_rate(B,C),growth_rate(A,C))|selection_favors(B,A,C)),inference(resolution,[status(thm)],[143828496,144078600]),[]).
%
% cnf(144094952,plain,(~in_environment(e,B)|~selection_favors(efficient_producers,first_movers,t(B))),inference(rewrite,[status(thm)],[prove_t1]),[]).
%
% cnf(167892968,plain,(~selection_favors(efficient_producers,first_movers,t(to(e)))),inference(resolution,[status(thm)],[144094952,167809968]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[167928264,167902944,167855544,167892968]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------