TPTP Problem File: MGT021-1.p
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% File : MGT021-1 : TPTP v9.0.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : Difference between disbanding rates does not decrease
% Version : [PB+94] axioms.
% English : The difference between the disbanding rates of first movers
% and efficient producers does not decrease with time.
% Refs : [PM93] Peli & Masuch (1993), The Logic of Propogation Strateg
% : [PM94] Peli & Masuch (1994), The Logic of Propogation Strateg
% : [PB+94] Peli et al. (1994), A Logical Approach to Formalizing
% : [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, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.2.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.08 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.4.0
% Syntax : Number of clauses : 11 ( 3 unt; 2 nHn; 11 RR)
% Number of literals : 32 ( 1 equ; 21 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 0 prp; 1-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : Same as version with [PM93] axioms.
% : Created with tptp2X -f tptp -t clausify:otter MGT021+1.p
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cnf(mp_time_point_in_environment_27,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ) ).
cnf(mp_environment_not_empty_28,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ) ).
cnf(mp_increase_not_decrease_29,axiom,
( ~ increases(A)
| ~ decreases(A) ) ).
cnf(mp_greater_or_equal_30,axiom,
( ~ greater_or_equal(A,B)
| greater(A,B)
| A = B ) ).
cnf(a3_31,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ greater(equilibrium(A),B)
| decreases(resources(A,B)) ) ).
cnf(a3_32,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(equilibrium(A),B)
| constant(resources(A,B)) ) ).
cnf(l4_33,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ decreases(resources(A,B))
| increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ).
cnf(l4_34,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(resources(A,B))
| ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B))) ) ).
cnf(prove_l3_35,negated_conjecture,
environment(sk1) ).
cnf(prove_l3_36,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
cnf(prove_l3_37,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ).
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