TPTP Problem File: MGT052+1.p
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%--------------------------------------------------------------------------
% File : MGT052+1 : TPTP v8.2.0. Released v2.4.0.
% Domain : Management (Organisation Theory)
% Problem : The environment at any time is similar with itself
% Version : [Han98] axioms.
% English :
% 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 : [Kam00]
% Names : BACKGROUND ASSUMPTION 1 [Han98]
% Status : Theorem
% Rating : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.09 v4.0.1, 0.13 v4.0.0, 0.12 v3.7.0, 0.14 v3.5.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.11 v3.2.0, 0.22 v3.1.0, 0.17 v2.7.0, 0.00 v2.4.0
% Syntax : Number of formulae : 8 ( 1 unt; 0 def)
% Number of atoms : 21 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 16 ( 3 ~; 4 |; 3 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 0 prp; 1-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 18 ( 18 !; 0 ?)
% SPC : FOF_THM_EPR_SEQ
% Comments : See MGT042+1.p for the mnemonic names.
%--------------------------------------------------------------------------
include('Axioms/MGT001+0.ax').
%--------------------------------------------------------------------------
%----Problem Axioms
%----Two states of the environment are dissimilar for an organization
%----if and only if the organization cannot be aligned to both.
%----
%----Added quantification over X.
fof(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( organization(X)
& ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) ) ) ) ).
%----Problem theorems
%----Background Assumption 1
%----The environment at any time is similar with itself.
%----
%----Added quantification over X.
%----***(is immediate consequence of D2!)***
%----No inequalities needed.
fof(background_assumption_1,conjecture,
! [X,T] : ~ dissimilar(X,T,T) ).
%--------------------------------------------------------------------------