TPTP Problem File: MGT028-1.p
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% File : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : FMs have a negative growth rate in stable environments
% Version : [PB+94] axioms : Reduced & Augmented > Complete.
% English : First movers have negative growth rate past a certain point
% of time (also after the appearence of efficient producers)
% in stable environments.
% Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% : [Kam95] Kamps (1995), Email to G. Sutcliffe
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.00 v2.4.0
% Syntax : Number of clauses : 14 ( 2 unt; 4 nHn; 14 RR)
% Number of literals : 57 ( 0 equ; 40 neg)
% Maximal clause size : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 6 usr; 0 prp; 1-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments : Created with tptp2X -f tptp -t clausify:otter MGT028+1.p
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cnf(mp_first_movers_negative_growth_1,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| greater(sk2(A),appear(efficient_producers,A)) ) ).
cnf(mp_first_movers_negative_growth_2,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| greater(sk2(A),appear(efficient_producers,A)) ) ).
cnf(mp_first_movers_negative_growth_3,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater_or_equal(C,sk2(A))
| greater(zero,growth_rate(first_movers,C)) ) ).
cnf(mp_first_movers_negative_growth_4,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater_or_equal(C,sk2(A))
| greater(zero,growth_rate(first_movers,C)) ) ).
cnf(mp_first_movers_negative_growth_5,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
| greater(sk2(A),appear(efficient_producers,A)) ) ).
cnf(mp_first_movers_negative_growth_6,axiom,
( ~ environment(A)
| ~ stable(A)
| ~ in_environment(A,B)
| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater_or_equal(C,sk2(A))
| greater(zero,growth_rate(first_movers,C)) ) ).
cnf(l11_7,hypothesis,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk3(A)) ) ).
cnf(l11_8,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk3(A))
| greater(growth_rate(efficient_producers,B),zero) ) ).
cnf(l11_9,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk3(A))
| greater(zero,growth_rate(first_movers,B)) ) ).
cnf(prove_l10_10,negated_conjecture,
environment(sk4) ).
cnf(prove_l10_11,negated_conjecture,
stable(sk4) ).
cnf(prove_l10_12,negated_conjecture,
( ~ greater(A,appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ) ).
cnf(prove_l10_13,negated_conjecture,
( ~ greater(A,appear(efficient_producers,sk4))
| greater_or_equal(sk5(A),A) ) ).
cnf(prove_l10_14,negated_conjecture,
( ~ greater(A,appear(efficient_producers,sk4))
| ~ greater(zero,growth_rate(first_movers,sk5(A))) ) ).
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