TPTP Problem File: MGT023-2.p
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- Solve Problem
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% File : MGT023-2 : TPTP v8.2.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : Stable environments have a critical point.
% Version : [PM93] axioms.
% English :
% Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.15 v8.2.0, 0.10 v8.1.0, 0.05 v7.5.0, 0.11 v7.4.0, 0.12 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, 0.10 v6.1.0, 0.14 v6.0.0, 0.10 v5.5.0, 0.20 v5.3.0, 0.11 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 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 v2.5.0, 0.22 v2.4.0
% Syntax : Number of clauses : 17 ( 3 unt; 7 nHn; 17 RR)
% Number of literals : 68 ( 3 equ; 44 neg)
% Maximal clause size : 6 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 0 prp; 1-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : Created with tptp2X -f tptp -t clausify:otter MGT023+2.p
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cnf(mp_earliest_time_growth_rate_exceeds_19,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_20,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_21,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_22,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_23,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_24,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_25,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_26,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_27,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(d1_28,hypothesis,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| subpopulations(first_movers,efficient_producers,A,sk3(B,A))
| B = critical_point(A) ) ).
cnf(d1_29,hypothesis,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| greater(sk3(B,A),B)
| B = critical_point(A) ) ).
cnf(d1_30,hypothesis,
( ~ environment(A)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ in_environment(A,B)
| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))
| B = critical_point(A) ) ).
cnf(l1_31,hypothesis,
( ~ environment(A)
| ~ stable(A)
| in_environment(A,sk4(A)) ) ).
cnf(l1_32,hypothesis,
( ~ environment(A)
| ~ stable(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ greater_or_equal(B,sk4(A))
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ).
cnf(prove_l5_33,negated_conjecture,
environment(sk5) ).
cnf(prove_l5_34,negated_conjecture,
stable(sk5) ).
cnf(prove_l5_35,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)) ).
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