spec source_13 =
sort T
pred At : T
pred AtP : T * T
pred Dif : T * T * T
pred Ov : T * T
pred P : T * T
pred PP : T * T
pred Sum : T * T * T

forall x, y : T . not P(x, y) => exists z : T . Dif(z, x, y)
                    %(Extensionality+existence of the difference)%

forall x, y : T . exists z : T . Sum(z, x, y)
                                          %(Existence of the sum)%

forall x : T; y : T . PP(x, y) <=> P(x, y) /\ not P(y, x) %(Dd14)%

forall x : T; y : T
. Ov(x, y) <=> exists z : T . P(z, x) /\ P(z, y)          %(Dd15)%

forall x : T . At(x) <=> not exists y : T . PP(y, x) %(Dd16)%

forall x : T; y : T . AtP(x, y) <=> P(x, y) /\ At(x) %(Dd17)%

forall z : T; x : T; y : T
. Sum(z, x, y) <=> forall w : T . Ov(w, z) <=> Ov(w, x) \/ Ov(w, y)
                                                           %(Ax5)%

forall z : T; x : T; y : T
. Dif(z, x, y)
  <=> forall w : T . P(w, z) <=> P(w, x) /\ not Ov(w, y)   %(Ax6)%

forall x, y, z : T . P(x, x) %(reflexivity)%

forall x, y, z : T . P(x, y) /\ P(y, x) => x = y %(antisymmetry)%

forall x, y, z : T . P(x, y) /\ P(y, z) => P(x, z) %(transitivity)%
end


spec target_13 = source_13
then %cons
sort SAG
op eternal_object[SAG] : SAG
pred PRE : SAG * T
pred tDif : SAG * SAG * SAG
pred tOv : SAG * SAG * T
pred tP : SAG * SAG * T
pred tPP : SAG * SAG * T
pred tSum : SAG * SAG * SAG

forall t : T . PRE(eternal_object[SAG], t) %(eternal_object)%

forall z : SAG; x : SAG; y : SAG
. tSum(z, x, y)
  <=> forall w : SAG; t : T
      . tOv(w, z, t) <=> tOv(w, x, t) \/ tOv(w, y, t)      %(Ax1)%

forall z : SAG; x : SAG; y : SAG
. tDif(z, x, y)
  <=> forall w : SAG; t : T
      . tP(w, z, t) <=> tP(w, x, t) /\ not tOv(w, y, t)    %(Ax2)%

forall x, y : SAG; t : T
. PRE(x, t) /\ PRE(y, t) /\ not tP(x, y, t)
  => exists z : SAG . tP(z, x, t) /\ not tOv(z, y, t)      %(Ax3)%

forall x, y : SAG; t : T . exists z : SAG . tSum(z, x, y)
                                    %(Existence of the sum_18_19)%

forall x : SAG; y : SAG; t : T
. tPP(x, y, t) <=> tP(x, y, t) /\ not tP(y, x, t)        %(Ax1_5)%

forall x : SAG; y : SAG; t : T
. tOv(x, y, t) <=> exists z : SAG . tP(z, x, t) /\ tP(z, y, t)
                                                         %(Ax2_6)%

forall x1 : SAG; x2 : SAG; t : T
. tP(x1, x2, t) => PRE(x1, t) /\ PRE(x2, t)              %(Ax1_3)%

forall x : SAG . exists t : T . PRE(x, t) %(Ax1_14)%

forall x1 : SAG; x2 : SAG; t1, t2 : T
. tP(x1, x2, t1) /\ P(t2 : T, t1 : T) => tP(x1, x2, t2) %(Ax1_15)%

forall x, y, z : SAG; t : T . PRE(x, t) => tP(x, x, t) %(Ax1_27)%

forall x, y, z : SAG; t : T
. tP(x, y, t) /\ tP(y, z, t) => tP(x, z, t)              %(Ax2_4)%

forall x : SAG; t1, t2 : T
. PRE(x, t1) /\ P(t2 : T, t1 : T) => PRE(x, t2)          %(Ax1_2)%
end

%% source esort T -> sort T
%% target esort SAG -> sort SAG

from Ontology/Dolce/DolceCons/DolceConsParts get OnePointTempParthoodModel

spec sp =
  source_13
then %cons
  OnePointTempParthoodModel with s |-> SAG
end

view v : target_13 to sp
end

%% goes through
%% link is cons (no termination)
%%