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PartialRefTemplatesTrans.prf
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PartialRefTemplatesTrans.prf
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(PartialRefTemplatesTrans
(IMP_PartialRefinement_preserv_TCC1 0
(IMP_PartialRefinement_preserv_TCC1-1 nil 3686521811
("" (lemma ckPreserves) (("" (propax) nil nil)) nil)
((ckPreserves formula-decl nil CKmultiple nil)) nil))
(addCKLinesBeforePartialRef_Transformation_nonempty_TCC1 0
(addCKLinesBeforePartialRef_Transformation_nonempty_TCC1-1 nil
3684668369 ("" (mapped-axiom-tcc) nil nil) nil nil))
(addCKLinesBeforePartialRef_TCC1 0
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("" (skolem 1 (pl ck2 its s pl2))
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(("1" (replace -6 1)
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("2" (skolem 1 exp)
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((PL type-eq-decl nil SPLrefinement nil)
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(is_finite const-decl "bool" finite_sets nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
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(Asset nonempty-type-decl nil Assets nil)
(FM type-eq-decl nil FeatureModel nil)
(Formula_ type-decl nil Formula__adt nil)
(set type-eq-decl nil sets nil)
(Configuration type-eq-decl nil Name nil)
(Name type-decl nil Name nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
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nil))
(addCKLinesBeforePartialRef 0
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("" (lemma addItemsBefore)
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((ckevaluation const-decl "AM" CKmultiple nil)
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(boolean nonempty-type-decl nil booleans nil)
(Asset nonempty-type-decl nil Assets nil)
(AssetName nonempty-type-decl nil Assets nil)
(Transformations type-decl nil CKmultiple nil)
(addItemsBefore formula-decl nil CKtrans nil)
(strongPartialRefinement const-decl "bool" PartialRefStrong nil)
(subset? const-decl "bool" sets nil)
(member const-decl "bool" sets nil)
(subset_is_partial_order name-judgement "(partial_order?[set[T]])"
sets_lemmas nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
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(\|> const-decl "bool" AssetMapping nil)
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(assetRefinement formula-decl nil SPLrefinement nil)
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(= const-decl "[T, T -> boolean]" equalities nil)
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(wfPL const-decl "bool" SPLrefinement nil)
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(AM type-eq-decl nil SPLrefinement nil)
(semantics const-decl "finite_sets[Asset].finite_set" CKtrans nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
nil)
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(Name type-decl nil Name nil) (emptyset const-decl "set" sets nil)
(finite_emptyset name-judgement "finite_set" finite_sets nil))
shostak))
(addCKLinesAfterPartialRef_TCC1 0
(addCKLinesAfterPartialRef_TCC1-1 nil 3680616616
("" (skolem 1 (pl ck2 its s pl2))
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(replace -5 1 RL)
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("2" (expand* unique emptyset) nil nil))
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nil))
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((addItemsAfter formula-decl nil CKtrans nil)
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(AssetName nonempty-type-decl nil Assets nil)
(Asset nonempty-type-decl nil Assets nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
nil)
(FM type-eq-decl nil FeatureModel nil)
(Formula_ type-decl nil Formula__adt nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(set type-eq-decl nil sets nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(Configuration type-eq-decl nil Name nil)
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(boolean nonempty-type-decl nil booleans nil)
(Name type-decl nil Name nil)
(wfPL const-decl "bool" SPLrefinement nil))
nil))
(addCKLinesAfterPartialRef 0
(addCKLinesAfterPartialRef-1 nil 3680616618
("" (lemma addItemsAfter)
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(("" (expand strongPartialRefinement)
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(("1" (skolem 1 c)
(("1" (bddsimp)
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(("1" (bddsimp)
(("1" (replace -4 -2 RL)
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(("1" (lemma SPLrefinement.assetRefinement)
(("1" (expand preorder?)
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(flatten)
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(expand reflexive?)
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(inst
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"semanticsCK(ck2, A(pl), c, emptyset)")
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(lemma ckPreserves)
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nil))
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nil))
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nil)
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(inst -3 "exp")
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nil))
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nil)
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nil))
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nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((ckevaluation const-decl "AM" CKmultiple nil)
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(is_finite const-decl "bool" finite_sets nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(Asset nonempty-type-decl nil Assets nil)
(AssetName nonempty-type-decl nil Assets nil)
(Transformations type-decl nil CKmultiple nil)
(addItemsAfter formula-decl nil CKtrans nil)
(strongPartialRefinement const-decl "bool" PartialRefStrong nil)
(member const-decl "bool" sets nil)
(subset? const-decl "bool" sets nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(semanticsCK def-decl "finite_sets[Asset].finite_set" CKtrans nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(\|> const-decl "bool" AssetMapping nil)
(ckPreserves formula-decl nil CKmultiple nil)
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(= const-decl "[T, T -> boolean]" equalities nil)
(exps def-decl "set[Formula_]" CKtrans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
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(wfPL const-decl "bool" SPLrefinement nil)
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(AM type-eq-decl nil SPLrefinement nil)
(semantics const-decl "finite_sets[Asset].finite_set" CKtrans nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
nil)
(list type-decl nil list_adt nil)
(FM type-eq-decl nil FeatureModel nil)
(Formula_ type-decl nil Formula__adt nil)
(Configuration type-eq-decl nil Name nil)
(Name type-decl nil Name nil) (emptyset const-decl "set" sets nil)
(finite_emptyset name-judgement "finite_set" finite_sets nil))
shostak))
(removeCKLinesBeforePartialRef_TCC1 0
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("" (skolem 1 (pl ck2 its s pl2))
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(expand semantics 1)
(("1"
(replace -5 -1)
(("1"
(expand semantics -1)
(("1"
(replace -3 1)
(("1" (propax) nil nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand "<>")
(("2"
(decompose-equality)
(("2"
(decompose-equality)
(("2"
(inst -1 c)
(("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand "<>")
(("2" (decompose-equality)
(("2" (inst -1 c) (("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil)
("2" (expand* unique emptyset) nil nil))
nil))
nil)
("2" (replace -3 -4)
(("2" (expand semantics) (("2" (propax) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((finite_emptyset name-judgement "finite_set" finite_sets nil)
(emptyset const-decl "set" sets nil)
(Formula_ type-decl nil Formula__adt nil)
(FM type-eq-decl nil FeatureModel nil)
(list type-decl nil list_adt nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
nil)
(semantics const-decl "finite_sets[Asset].finite_set" CKtrans nil)
(AM type-eq-decl nil SPLrefinement nil)
(ArbitrarySPL type-eq-decl nil SPLrefinement nil)
(PL type-eq-decl nil SPLrefinement nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(satisfies def-decl "boolean" FormulaTheory nil)
(exps def-decl "set[Formula_]" CKtrans nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(semanticsCK def-decl "finite_sets[Asset].finite_set" CKtrans nil)
(append def-decl "list[T]" list_props nil)
(addItemsBefore formula-decl nil CKtrans nil)
(Transformations type-decl nil CKmultiple nil)
(AssetName nonempty-type-decl nil Assets nil)
(Asset nonempty-type-decl nil Assets nil)
(set type-eq-decl nil sets nil)
(is_finite const-decl "bool" finite_sets nil)
(finite_set type-eq-decl nil finite_sets nil)
(unique const-decl "bool" maps nil)
(AM type-eq-decl nil AssetMapping nil)
(ckevaluation const-decl "AM" CKmultiple nil)
(Configuration type-eq-decl nil Name nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(Name type-decl nil Name nil)
(wfPL const-decl "bool" SPLrefinement nil))
nil))
(removeCKLinesBeforePartialRef 0
(removeCKLinesBeforePartialRef-1 nil 3679996104
("" (lemma addItemsBefore)
(("" (skolem 1 (pl ck2 its s))
(("" (expand strongPartialRefinement)
(("" (bddsimp)
(("1" (skolem 1 c)
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(("1" (bddsimp)
(("1" (replace -4 -2 RL)
(("1" (expand semantics)
(("1" (replace -2 1)
(("1" (use SPLrefinement.assetRefinement)
(("1" (expand preorder?)
(("1"
(flatten)
(("1"
(expand reflexive?)
(("1"
(inst
-1
"semanticsCK(K(pl), A(pl), c, emptyset)")
(("1"
(lemma ckPreserves)
(("1" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (skolem 1 exp)
(("2" (expand "<>")
(("2" (decompose-equality)
(("2" (inst -1 c)
(("2" (bddsimp)
(("2"
(inst -3 exp)
(("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand unique)
(("2" (expand emptyset) (("2" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand "<>")
(("2" (decompose-equality)
(("2" (expand subset?)
(("2" (skolem 1 c)
(("2" (inst -1 c)
(("2" (expand member) (("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((ckevaluation const-decl "AM" CKmultiple nil)
(AM type-eq-decl nil AssetMapping nil)
(unique const-decl "bool" maps nil)
(finite_set type-eq-decl nil finite_sets nil)
(is_finite const-decl "bool" finite_sets nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(Asset nonempty-type-decl nil Assets nil)
(AssetName nonempty-type-decl nil Assets nil)
(Transformations type-decl nil CKmultiple nil)
(addItemsBefore formula-decl nil CKtrans nil)
(strongPartialRefinement const-decl "bool" PartialRefStrong nil)
(subset? const-decl "bool" sets nil)
(member const-decl "bool" sets nil)
(subset_is_partial_order name-judgement "(partial_order?[set[T]])"
sets_lemmas nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(semanticsCK def-decl "finite_sets[Asset].finite_set" CKtrans nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(\|> const-decl "bool" AssetMapping nil)
(ckPreserves formula-decl nil CKmultiple nil)
(reflexive? const-decl "bool" relations nil)
(preorder? const-decl "bool" orders nil)
(satisfies def-decl "boolean" FormulaTheory nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(exps def-decl "set[Formula_]" CKtrans nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(PL type-eq-decl nil SPLrefinement nil)
(wfPL const-decl "bool" SPLrefinement nil)
(ArbitrarySPL type-eq-decl nil SPLrefinement nil)
(AM type-eq-decl nil SPLrefinement nil)
(semantics const-decl "finite_sets[Asset].finite_set" CKtrans nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
nil)
(list type-decl nil list_adt nil)
(FM type-eq-decl nil FeatureModel nil)
(Formula_ type-decl nil Formula__adt nil)
(Configuration type-eq-decl nil Name nil)
(Name type-decl nil Name nil) (emptyset const-decl "set" sets nil)
(finite_emptyset name-judgement "finite_set" finite_sets nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement
nil))
shostak))
(removeCKLinesAfterPartialRef_TCC1 0
(removeCKLinesAfterPartialRef_TCC1-1 nil 3680617167
("" (skolem 1 (pl ck2 its s pl2))
(("" (bddsimp)
(("" (expand wfPL)
(("" (skolem 1 c)
(("" (inst -3 c)
(("" (bddsimp)
(("1" (lemma addItemsAfter)
(("1" (inst -1 "A(pl)" ck2 its s emptyset c)
(("1" (bddsimp)
(("1" (replace -5 1)
(("1" (expand semantics 1)
(("1" (typepred pl)
(("1" (expand wfPL)
(("1" (inst -1 c)
(("1"
(bddsimp)
(("1"
(replace -5 -1)
(("1"
(expand semantics -1)
(("1"
(replace -3 1)
(("1" (propax) nil nil))
nil))
nil))
nil)
("2"
(expand "<>")
(("2"
(decompose-equality -3)
(("2"
(inst -1 c)
(("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand "<>")
(("2" (decompose-equality)
(("2" (inst -1 c) (("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil)
("2" (expand* unique emptyset) nil nil))
nil))
nil)
("2" (expand "<>")
(("2" (replace -3 -4)
(("2" (expand semantics) (("2" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((finite_emptyset name-judgement "finite_set" finite_sets nil)
(emptyset const-decl "set" sets nil)
(Formula_ type-decl nil Formula__adt nil)
(FM type-eq-decl nil FeatureModel nil)
(list type-decl nil list_adt nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
nil)
(semantics const-decl "finite_sets[Asset].finite_set" CKtrans nil)
(AM type-eq-decl nil SPLrefinement nil)
(ArbitrarySPL type-eq-decl nil SPLrefinement nil)
(PL type-eq-decl nil SPLrefinement nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(satisfies def-decl "boolean" FormulaTheory nil)
(exps def-decl "set[Formula_]" CKtrans nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(addItemsAfter formula-decl nil CKtrans nil)
(Transformations type-decl nil CKmultiple nil)
(AssetName nonempty-type-decl nil Assets nil)
(Asset nonempty-type-decl nil Assets nil)
(set type-eq-decl nil sets nil)
(is_finite const-decl "bool" finite_sets nil)
(finite_set type-eq-decl nil finite_sets nil)
(unique const-decl "bool" maps nil)
(AM type-eq-decl nil AssetMapping nil)
(ckevaluation const-decl "AM" CKmultiple nil)
(Configuration type-eq-decl nil Name nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(Name type-decl nil Name nil)
(wfPL const-decl "bool" SPLrefinement nil))
nil))
(removeCKLinesAfterPartialRef 0
(removeCKLinesAfterPartialRef-1 nil 3680617169
("" (lemma addItemsAfter)
(("" (skolem 1 (pl ck2 its s))
(("" (expand "<>")
(("" (bddsimp)
(("" (decompose-equality)
(("" (expand strongPartialRefinement)
(("" (bddsimp)
(("1" (skolem 1 c)
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(("1" (inst -2 "A(pl)" ck2 its s emptyset c)
(("1" (bddsimp)
(("1" (replace -4 -3 RL)
(("1" (expand semantics)
(("1"
(replace -3 1)
(("1"
(use SPLrefinement.assetRefinement)
(("1"
(expand preorder?)
(("1"
(flatten)
(("1"
(expand reflexive?)
(("1"
(inst
-1
"semanticsCK(K(pl), A(pl), c, emptyset)")
(("1"
(lemma ckPreserves)
(("1" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (skolem 1 exp)
(("2" (inst -1 c)
(("2"
(bddsimp)
(("2"
(inst -3 exp)
(("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand emptyset)
(("2" (expand unique)
(("2" (propax) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand subset?)
(("2" (skolem 1 c)
(("2" (inst -1 c)
(("2" (expand member)
(("2" (assert) (("2" (bddsimp) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((ckevaluation const-decl "AM" CKmultiple nil)
(AM type-eq-decl nil AssetMapping nil)
(unique const-decl "bool" maps nil)
(finite_set type-eq-decl nil finite_sets nil)
(is_finite const-decl "bool" finite_sets nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(Asset nonempty-type-decl nil Assets nil)
(AssetName nonempty-type-decl nil Assets nil)
(Transformations type-decl nil CKmultiple nil)
(addItemsAfter formula-decl nil CKtrans nil)
(Name type-decl nil Name nil)
(Configuration type-eq-decl nil Name nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(Formula_ type-decl nil Formula__adt nil)
(FM type-eq-decl nil FeatureModel nil)
(semantics const-decl "set[Configuration]" FeatureModelSemantics
nil)
(list type-decl nil list_adt nil)
(semantics const-decl "finite_sets[Asset].finite_set" CKtrans nil)
(AM type-eq-decl nil SPLrefinement nil)
(ArbitrarySPL type-eq-decl nil SPLrefinement nil)
(wfPL const-decl "bool" SPLrefinement nil)
(PL type-eq-decl nil SPLrefinement nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(exps def-decl "set[Formula_]" CKtrans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(satisfies def-decl "boolean" FormulaTheory nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
(finite_emptyset name-judgement "finite_set" finite_sets nil)
(emptyset const-decl "set" sets nil)
(preorder? const-decl "bool" orders nil)
(reflexive? const-decl "bool" relations nil)
(ckPreserves formula-decl nil CKmultiple nil)
(\|> const-decl "bool" AssetMapping nil)
(semanticsCK def-decl "finite_sets[Asset].finite_set" CKtrans nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(member const-decl "bool" sets nil)
(subset? const-decl "bool" sets nil)
(strongPartialRefinement const-decl "bool" PartialRefStrong nil))
shostak))
(changeCKLineBeforePartialRef_TCC1 0
(changeCKLineBeforePartialRef_TCC1-1 nil 3684494054
("" (skolem 1 (pl ck2 it it2 its s pl2))
(("" (bddsimp)
(("" (expand wfPL)
(("" (skolem 1 c)
(("" (bddsimp)
(("" (inst -4 c)
(("" (bddsimp)
(("1" (typepred pl)
(("1" (expand wfPL)
(("1" (inst -1 c)
(("1" (bddsimp)
(("1"
(name "sem" "(semantics(K(pl))(A(pl))(c))")
(("1"
(name "sem2" "(semantics(ck2)(A(pl))(c))")
(("1" (replace -8 1)
(("1"
(expand semantics 1)
(("1"
(expand semantics -1)
(("1"
(replace -1 1)
(("1"
(replace -2 -3)
(("1"
(case "sem = sem2")
(("1"
(replace -1 1 RL)
(("1" (propax) nil nil))
nil)
("2"
(replace -6 -1)
(("2"
(replace -5 -2)
(("2"
(expand intersection)
(("2"
(expand member)
(("2"
(decompose-equality
-4)
(("2"
(inst -1 c)
(("2"
(bddsimp)
(("2"
(expand "<>")
(("2"
(flatten)
(("2"
(expand
semanticsCK
-4)
(("2"
(lift-if)
(("2"
(expand
getExp)
(("2"
(bddsimp)
(("2"
(expand
semantics
-4)
(("2"
(expand
semanticsCK
-4)
(("2"
(lift-if)
(("2"
(bddsimp)
(("2"
(replace
-3
3
RL)
(("2"
(replace
-4
3)
(("2"
(propax)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (lemma ckPreserves)
(("2" (propax) nil nil)) nil))
nil)
("2" (expand intersection)
(("2" (expand member)
(("2" (expand "<>")
(("2"
(decompose-equality)
(("2"
(inst -1 c)
(("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (replace -4 -5)
(("2" (expand semantics) (("2" (propax) nil nil))