spec source_6 =
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_6 = source_6
then %cons
sort SC
op eternal_object[SC] : SC
pred PRE : SC * T
pred tDif : SC * SC * SC
pred tOv : SC * SC * T
pred tP : SC * SC * T
pred tPP : SC * SC * T
pred tSum : SC * SC * SC

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

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

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

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

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

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

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

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

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

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

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

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

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

%% use temp parthood model
%% changed SC to non-empty sort in target
%% changed T to non-empty sort. Forcing it to be empty makes the source actually inconsistent

from  Ontology/Dolce/DolceCons/DolceConsParts get OnePointTempParthoodModel

spec sp =
  source_6
then %cons
OnePointTempParthoodModel with s |-> SC
end

view v : target_6 to sp
end

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