TPTP Problem File: MGT054-1.p
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- Solve Problem
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% File : MGT054-1 : TPTP v9.0.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : Hazard of mortality increases in a drifting environment
% Version : [Han98] axioms.
% English : An unendowed organization's hazard of mortality increases with
% age in a drifting environment.
% 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 : 0.05 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 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.0.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.11 v2.4.0
% Syntax : Number of clauses : 32 ( 7 unt; 11 nHn; 25 RR)
% Number of literals : 84 ( 9 equ; 43 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 5 sgn)
% SPC : CNF_UNS_RFO_SEQ_NHN
% Comments : See MGT042+1.p for the mnemonic names.
% : Created with tptp2X -f tptp -t clausify:otter MGT054+1.p
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include('Axioms/MGT001-0.ax').
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cnf(assumption_1_38,axiom,
( ~ organization(A)
| has_endowment(A)
| ~ has_immunity(A,B) ) ).
cnf(assumption_3_39,axiom,
( ~ organization(A)
| ~ has_immunity(A,B)
| has_immunity(A,C)
| greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
cnf(definition_2_40,axiom,
( ~ dissimilar(A,B,C)
| organization(A) ) ).
cnf(definition_2_41,axiom,
( ~ dissimilar(A,B,C)
| is_aligned(A,B)
| is_aligned(A,C) ) ).
cnf(definition_2_42,axiom,
( ~ dissimilar(A,B,C)
| ~ is_aligned(A,B)
| ~ is_aligned(A,C) ) ).
cnf(definition_2_43,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,B)
| dissimilar(A,B,C) ) ).
cnf(definition_2_44,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| dissimilar(A,B,C) ) ).
cnf(definition_2_45,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| dissimilar(A,C,B) ) ).
cnf(definition_2_46,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,B)
| dissimilar(A,C,B) ) ).
cnf(assumption_13_47,axiom,
( ~ organization(A)
| age(A,B) != zero
| is_aligned(A,B) ) ).
cnf(assumption_14_48,axiom,
( ~ organization(A)
| ~ is_aligned(A,B)
| is_aligned(A,C)
| greater(capability(A,B),capability(A,C)) ) ).
cnf(assumption_15_49,axiom,
( ~ organization(A)
| age(A,B) != zero
| ~ greater(age(A,C),sigma)
| dissimilar(A,B,C) ) ).
cnf(assumption_15_50,axiom,
( ~ organization(A)
| age(A,B) != zero
| ~ dissimilar(A,B,C)
| greater(age(A,C),sigma) ) ).
cnf(assumption_16_51,axiom,
( ~ organization(A)
| has_immunity(A,B)
| has_immunity(A,C)
| ~ greater(capability(A,C),capability(A,B))
| greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) ) ).
cnf(theorem_5_52,negated_conjecture,
organization(sk1) ).
cnf(theorem_5_53,negated_conjecture,
~ has_endowment(sk1) ).
cnf(theorem_5_54,negated_conjecture,
age(sk1,sk2) = zero ).
cnf(theorem_5_55,negated_conjecture,
smaller_or_equal(age(sk1,sk3),sigma) ).
cnf(theorem_5_56,negated_conjecture,
greater(age(sk1,sk4),sigma) ).
cnf(theorem_5_57,negated_conjecture,
greater(sigma,zero) ).
cnf(theorem_5_58,negated_conjecture,
~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)) ).
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