TPTP Problem File: MGT023-1.p
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% File : MGT023-1 : TPTP v9.0.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : Stable environments have a critical point.
% Version : [PB+94] axioms : Reduced & Augmented > Complete.
% English :
% 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 : 0.05 v9.0.0, 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.4.0, 0.00 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.2.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0, 0.15 v3.1.0, 0.18 v2.7.0, 0.17 v2.6.0, 0.11 v2.4.0
% Syntax : Number of clauses : 9 ( 3 unt; 3 nHn; 9 RR)
% Number of literals : 29 ( 3 equ; 17 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 0 prp; 1-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : Created with tptp2X -f tptp -t clausify:otter MGT023+1.p
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cnf(d1_17,hypothesis,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| B = critical_point(A) ) ).
cnf(d1_18,hypothesis,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk1(B,A),B)
| B = critical_point(A) ) ).
cnf(d1_19,hypothesis,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| B = critical_point(A) ) ).
cnf(l12_20,hypothesis,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk2(A)) ) ).
cnf(l12_21,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ).
cnf(l12_22,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater(B,sk2(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ).
cnf(prove_l5_23,negated_conjecture,
environment(sk3) ).
cnf(prove_l5_24,negated_conjecture,
stable(sk3) ).
cnf(prove_l5_25,negated_conjecture,
~ in_environment(sk3,critical_point(sk3)) ).
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