1%--------------------------------------------------------------------------
2% File     : MGT031-1 : TPTP v5.5.0. Released v2.4.0.
3% Domain   : Management (Organisation Theory)
4% Problem  : First movers appear first in an environment
5% Version  : [PB+94] axioms : Reduced & Augmented > Complete.
6% English  :
7
8% Refs     : [PM93]  Peli & Masuch (1993), The Logic of Propogation Strateg
9%          : [PM94]  Peli & Masuch (1994), The Logic of Propogation Strateg
10%          : [Kam95] Kamps (1995), Email to G. Sutcliffe
11% Source   : [TPTP]
12% Names    :
13
14% Status   : Satisfiable
15% Rating   : 0.00 v2.5.0, 0.17 v2.4.0
16% Syntax   : Number of clauses     :   15 (   2 non-Horn;   3 unit;  15 RR)
17%            Number of atoms       :   38 (   5 equality)
18%            Maximal clause size   :    5 (   3 average)
19%            Number of predicates  :    6 (   0 propositional; 1-3 arity)
20%            Number of functors    :   10 (   6 constant; 0-2 arity)
21%            Number of variables   :   23 (   0 singleton)
22%            Maximal term depth    :    3 (   1 average)
23% SPC      : CNF_SAT_RFO_EQU_NUE
24
25% Comments : Created with tptp2X -f tptp -t clausify:otter MGT031+1.p
26%--------------------------------------------------------------------------
27cnf(mp_positive_number_when_appear_20,axiom,
28    ( ~ environment(A)
29    | greater(number_of_organizations(e,appear(an_organisation,A)),zero) )).
30
31cnf(mp_number_mean_non_empty_21,axiom,
32    ( ~ environment(A)
33    | ~ greater(number_of_organizations(A,B),zero)
34    | subpopulation(sk1(B,A),A,B) )).
35
36cnf(mp_number_mean_non_empty_22,axiom,
37    ( ~ environment(A)
38    | ~ greater(number_of_organizations(A,B),zero)
39    | greater(cardinality_at_time(sk1(B,A),B),zero) )).
40
41cnf(mp_no_EP_before_appearance_23,axiom,
42    ( ~ environment(A)
43    | ~ in_environment(A,B)
44    | ~ greater(appear(efficient_producers,A),B)
45    | ~ greater(cardinality_at_time(efficient_producers,B),zero) )).
46
47cnf(mp_no_FM_before_appearance_24,axiom,
48    ( ~ environment(A)
49    | ~ in_environment(A,B)
50    | ~ greater(appear(first_movers,A),B)
51    | ~ greater(cardinality_at_time(first_movers,B),zero) )).
52
53cnf(mp_FM_not_precede_first_25,axiom,
54    ( ~ environment(A)
55    | greater_or_equal(appear(first_movers,A),appear(an_organisation,A)) )).
56
57cnf(mp_greater_transitivity_26,axiom,
58    ( ~ greater(A,B)
59    | ~ greater(B,C)
60    | greater(A,C) )).
61
62cnf(mp_greater_or_equal_27,axiom,
63    ( ~ greater_or_equal(A,B)
64    | greater(A,B)
65    | A = B )).
66
67cnf(mp_greater_or_equal_28,axiom,
68    ( ~ greater(A,B)
69    | greater_or_equal(A,B) )).
70
71cnf(mp_greater_or_equal_29,axiom,
72    ( A != B
73    | greater_or_equal(A,B) )).
74
75cnf(a9_30,hypothesis,
76    ( ~ environment(A)
77    | ~ subpopulation(B,A,C)
78    | ~ greater(cardinality_at_time(B,C),zero)
79    | B = efficient_producers
80    | B = first_movers )).
81
82cnf(a13_31,hypothesis,
83    ( ~ environment(A)
84    | greater(appear(efficient_producers,e),appear(first_movers,A)) )).
85
86cnf(prove_l13_32,negated_conjecture,
87    ( environment(sk2) )).
88
89cnf(prove_l13_33,negated_conjecture,
90    ( in_environment(sk2,appear(an_organisation,sk2)) )).
91
92cnf(prove_l13_34,negated_conjecture,
93    (  appear(an_organisation,sk2) != appear(first_movers,sk2) )).
94
95%--------------------------------------------------------------------------
96