TPTP Problem File: MGT030-1.p
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% File : MGT030-1 : TPTP v9.0.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : Earliest time point when FM growth rate exceeds EP growth rate
% Version : [PB+94] axioms : Reduced & Augmented > Complete.
% English : There is an earliest time point, past which FM's growth
% rate exceeds EP's growth rate.
% 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 v2.4.0
% Syntax : Number of clauses : 16 ( 2 unt; 6 nHn; 16 RR)
% Number of literals : 61 ( 0 equ; 40 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 6 usr; 0 prp; 1-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments : Created with tptp2X -f tptp -t clausify:otter MGT030+1.p
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cnf(mp_earliest_time_growth_rate_exceeds_1,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| in_environment(A,sk2(A)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_2,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| in_environment(A,sk2(A)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_3,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_4,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_5,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_6,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(sk1(B,A),B)
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_7,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| in_environment(A,sk2(A)) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_8,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ).
cnf(mp_earliest_time_growth_rate_exceeds_9,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(C,sk2(A))
| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ).
cnf(l1_10,hypothesis,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk3(A)) ) ).
cnf(l1_11,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk3(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ).
cnf(prove_l12_12,negated_conjecture,
environment(sk4) ).
cnf(prove_l12_13,negated_conjecture,
stable(sk4) ).
cnf(prove_l12_14,negated_conjecture,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ) ).
cnf(prove_l12_15,negated_conjecture,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| greater(sk5(A),A) ) ).
cnf(prove_l12_16,negated_conjecture,
( ~ in_environment(sk4,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A))) ) ).
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