TPTP Axioms File: HWV001-0.ax


%--------------------------------------------------------------------------
% File     : HWV001-0 : TPTP v7.5.0. Released v2.1.0.
% Domain   : Hardware Verification
% Axioms   : Connections, faults, and gates.
% Version  : [Gei96] axioms.
% English  :

% Refs     : [Gei96] Geisler (1996), Email to G. Sutcliffe
% Source   : [Gei96]
% Names    :

% Status   : Satisfiable
% Syntax   : Number of clauses    :   21 (   3 non-Horn;   2 unit;  21 RR)
%            Number of atoms      :   76 (   0 equality)
%            Maximal clause size  :    5 (   4 average)
%            Number of predicates :    5 (   0 propositional; 2-2 arity)
%            Number of functors   :   10 (   8 constant; 0-2 arity)
%            Number of variables  :   28 (   3 singleton)
%            Maximal term depth   :    2 (   1 average)
% SPC      : 

% Comments :
%--------------------------------------------------------------------------
%----Properties of connections and values
cnf(value_propagation1,axiom,
    ( ~ connection(P1,P2)
    | ~ value(P1,V)
    | value(P2,V) )).

cnf(value_propagation2,axiom,
    ( ~ connection(P1,P2)
    | ~ value(P2,V)
    | value(P1,V) )).

cnf(unique_value,axiom,
    ( ~ value(P,V1)
    | ~ value(P,V2)
    | equal_value(V1,V2) )).

cnf(equal_value1,axiom,
    ( ~ equal_value(n0,n1) )).

cnf(equal_value2,axiom,
    ( ~ equal_value(n1,n0) )).

%----Fault model
cnf(not_ok_and_abnormal,axiom,
    ( ~ mode(K,ok)
    | ~ mode(K,abnormal) )).

cnf(ok_or_abnormal,axiom,
    ( ~ type(K,Any)
    | mode(K,ok)
    | mode(K,abnormal) )).

%----AND gate
cnf(and_0x_0,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,and)
    | ~ value(in(Any,K),n0)
    | value(out(n1,K),n0) )).

cnf(and_11_1,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,and)
    | ~ value(in(n1,K),n1)
    | ~ value(in(n2,K),n1)
    | value(out(n1,K),n1) )).

cnf(and_0_00,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,and)
    | ~ value(out(n1,K),n0)
    | value(in(n1,K),n0)
    | value(in(n2,K),n0) )).

cnf(and_1_1x,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,and)
    | ~ value(out(n1,K),n1)
    | value(in(n1,K),n1) )).

cnf(and_1_x1,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,and)
    | ~ value(out(n1,K),n1)
    | value(in(n2,K),n1) )).

%----OR gate
cnf(or_1x_1,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,or)
    | ~ value(in(Any,K),n1)
    | value(out(n1,K),n1) )).

cnf(or_00_0,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,or)
    | ~ value(in(n1,K),n0)
    | ~ value(in(n2,K),n0)
    | value(out(n1,K),n0) )).

cnf(or_1_11,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,or)
    | ~ value(out(n1,K),n1)
    | value(in(n1,K),n1)
    | value(in(n2,K),n1) )).

cnf(or_0_0x,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,or)
    | ~ value(out(n1,K),n0)
    | value(in(n1,K),n0) )).

cnf(or_0_01,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,or)
    | ~ value(out(n1,K),n0)
    | value(in(n2,K),n0) )).

%----NOT gate
cnf(not_0_1_fw,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,not)
    | ~ value(in(n1,K),n0)
    | value(out(n1,K),n1) )).

cnf(not_1_0_fw,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,not)
    | ~ value(in(n1,K),n1)
    | value(out(n1,K),n0) )).

cnf(not_0_1_bw,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,not)
    | ~ value(out(n1,K),n0)
    | value(in(n1,K),n1) )).

cnf(not_1_0_bw,axiom,
    ( ~ mode(K,ok)
    | ~ type(K,not)
    | ~ value(out(n1,K),n1)
    | value(in(n1,K),n0) )).

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