TPTP Problem File: MGT042-1.p
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%--------------------------------------------------------------------------
% File : MGT042-1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : Conditions for a lower hazard of mortality
% Version : [Han98] axioms.
% English : When an organization lacks immunity, increased collective
% knowledge and superior external ties lower its hazard of
% mortality when internal friction does not increase.
% Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% Source : [TPTP]
% Names :
% Status : Unsatisfiable
% Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.40 v5.5.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.50 v5.1.0, 0.59 v5.0.0, 0.50 v4.1.0, 0.31 v4.0.1, 0.36 v4.0.0, 0.27 v3.7.0, 0.20 v3.5.0, 0.18 v3.4.0, 0.17 v3.3.0, 0.36 v3.2.0, 0.46 v3.1.0, 0.55 v2.7.0, 0.50 v2.6.0, 0.56 v2.5.0, 0.67 v2.4.0
% Syntax : Number of clauses : 38 ( 3 unt; 15 nHn; 37 RR)
% Number of literals : 97 ( 13 equ; 44 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 0 prp; 1-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 47 ( 0 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : The original text uses mnemonic names:
% Original: C/F/P: Arity: New name:
% zero-symbol c 0 zero
% eta-symbol c 0 eta
% sigma-symbol c 0 sigma
% tau-symbol c 0 tau
% very_low c 0 very_low
% low c 0 low
% mod1 c 0 mod1
% mod2 c 0 mod2
% high c 0 high
% A f 2 age
% H f 2 hazard_of_mortality
% C f 2 capability
% P f 2 position
% K f 2 stock_of_knowledge
% T f 2 external_ties
% F f 2 internal_friction
% O p 1 organization
% EN p 1 has_endowment
% IM p 2 has_immunity
% DS p 3 dissimilar
% AL p 2 is_aligned
% PA p 2 positional_advantage
% FG p 1 fragile_position
% RB p 1 robust_position
% : Created with tptp2X -f tptp -t clausify:otter MGT042+1.p
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include('Axioms/MGT001-0.ax').
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cnf(assumption_4_38,axiom,
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater(capability(A,C),capability(A,B))
| ~ greater_or_equal(position(A,C),position(A,B))
| smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
cnf(assumption_4_39,axiom,
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater_or_equal(capability(A,C),capability(A,B))
| ~ greater(position(A,C),position(A,B))
| smaller(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
cnf(assumption_4_40,axiom,
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| capability(A,C) != capability(A,B)
| position(A,C) != position(A,B)
| hazard_of_mortality(A,C) = hazard_of_mortality(A,B) ) ).
cnf(assumption_5_41,axiom,
( ~ organization(A)
| ~ greater(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ smaller_or_equal(internal_friction(A,B),internal_friction(A,C))
| greater(capability(A,B),capability(A,C)) ) ).
cnf(assumption_5_42,axiom,
( ~ organization(A)
| ~ smaller_or_equal(stock_of_knowledge(A,B),stock_of_knowledge(A,C))
| ~ greater(internal_friction(A,B),internal_friction(A,C))
| smaller(capability(A,B),capability(A,C)) ) ).
cnf(assumption_5_43,axiom,
( ~ organization(A)
| stock_of_knowledge(A,B) != stock_of_knowledge(A,C)
| internal_friction(A,B) != internal_friction(A,C)
| capability(A,B) = capability(A,C) ) ).
cnf(assumption_6_44,axiom,
( ~ organization(A)
| ~ greater(external_ties(A,B),external_ties(A,C))
| greater(position(A,B),position(A,C)) ) ).
cnf(assumption_6_45,axiom,
( ~ organization(A)
| external_ties(A,B) != external_ties(A,C)
| position(A,B) = position(A,C) ) ).
cnf(lemma_1_46,negated_conjecture,
organization(sk1) ).
cnf(lemma_1_47,negated_conjecture,
~ has_immunity(sk1,sk2) ).
cnf(lemma_1_48,negated_conjecture,
~ has_immunity(sk1,sk3) ).
cnf(lemma_1_49,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
cnf(lemma_1_50,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
cnf(lemma_1_51,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
cnf(lemma_1_52,negated_conjecture,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
cnf(lemma_1_53,negated_conjecture,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
cnf(lemma_1_54,negated_conjecture,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
cnf(lemma_1_55,negated_conjecture,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
cnf(lemma_1_56,negated_conjecture,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
cnf(lemma_1_57,negated_conjecture,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
cnf(lemma_1_58,negated_conjecture,
( greater(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
cnf(lemma_1_59,negated_conjecture,
( smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
cnf(lemma_1_60,negated_conjecture,
( greater_or_equal(external_ties(sk1,sk3),external_ties(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
cnf(lemma_1_61,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| greater_or_equal(stock_of_knowledge(sk1,sk3),stock_of_knowledge(sk1,sk2)) ) ).
cnf(lemma_1_62,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| smaller_or_equal(internal_friction(sk1,sk3),internal_friction(sk1,sk2)) ) ).
cnf(lemma_1_63,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| greater(external_ties(sk1,sk3),external_ties(sk1,sk2)) ) ).
cnf(lemma_1_64,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2))
| ~ smaller(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)) ) ).
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