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PartialRefDefault.prf
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(PartialRefDefault
(strongPartRefReflexive 0
(strongPartRefReflexive-1 nil 3655065337
("" (skolem 1 (pl s))
(("" (expand strongPartialRefinement)
(("" (bddsimp)
(("" (use assetRefinement)
(("" (expand preorder?)
(("" (flatten)
(("" (expand reflexive?)
(("" (skolem 1 c)
(("" (inst -1 "prod(pl,c)") (("" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((preorder? const-decl "bool" orders nil)
(reflexive? const-decl "bool" relations 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)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
(mapping type-eq-decl nil maps nil)
(unique const-decl "bool" maps nil)
(finite_set type-eq-decl nil finite_sets nil)
(is_finite const-decl "bool" finite_sets nil)
({\|\|} formal-const-decl "[FM -> set[Conf]]" PartialRefDefault nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(CK formal-type-decl nil PartialRefDefault nil)
(AssetName formal-type-decl nil PartialRefDefault nil)
(Asset formal-type-decl nil PartialRefDefault nil)
(FM formal-type-decl nil PartialRefDefault nil)
(Conf formal-type-decl nil PartialRefDefault nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(strongPartialRefinement const-decl "bool" PartialRefDefault nil))
shostak))
(strongPartRefTransitive 0
(strongPartRefTransitive-1 nil 3655065416
("" (skolem 1 (pl1 pl2 pl3 s t))
(("" (expand* strongPartialRefinement intersection)
(("" (expand member)
(("" (expand subset?)
(("" (expand member)
(("" (bddsimp)
(("1" (skolem 1 c)
(("1" (inst -1 c)
(("1" (inst -2 c)
(("1" (use assetRefinement)
(("1" (expand preorder?)
(("1" (flatten)
(("1" (expand transitive?)
(("1"
(inst -2 "prod(pl1,c)" "prod(pl2,c)"
"prod(pl3,c)")
(("1"
(bddsimp)
(("1"
(inst -5 c)
(("1"
(inst -8 c)
(("1" (bddsimp) nil nil))
nil))
nil)
("2"
(use assetRefinement)
(("2"
(expand preorder?)
(("2"
(flatten)
(("2"
(expand transitive?)
(("2"
(inst
-2
"prod(pl1,c)"
"prod(pl2,c)"
"prod(pl3,c)")
(("2"
(bddsimp)
(("2"
(inst -5 c)
(("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (skolem 1 c)
(("2" (inst -2 c)
(("2" (bddsimp)
(("2" (inst -6 c) (("2" (bddsimp) nil nil)) nil))
nil))
nil))
nil)
("3" (skolem 1 c)
(("3" (inst -1 c) (("3" (bddsimp) nil nil)) nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil)
((member const-decl "bool" sets nil)
(preorder? const-decl "bool" orders nil)
(transitive? const-decl "bool" relations 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)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
(mapping type-eq-decl nil maps nil)
(unique const-decl "bool" maps nil)
(finite_set type-eq-decl nil finite_sets nil)
(is_finite const-decl "bool" finite_sets nil)
({\|\|} formal-const-decl "[FM -> set[Conf]]" PartialRefDefault nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(CK formal-type-decl nil PartialRefDefault nil)
(AssetName formal-type-decl nil PartialRefDefault nil)
(Asset formal-type-decl nil PartialRefDefault nil)
(FM formal-type-decl nil PartialRefDefault nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(Conf formal-type-decl nil PartialRefDefault nil)
(subset? const-decl "bool" sets nil)
(strongPartialRefinement const-decl "bool" PartialRefDefault nil)
(intersection const-decl "set" sets nil))
shostak))
(partialRefSubset 0
(partialRefSubset-1 nil 3697559286
("" (skolem 1 (pl1 s pl2))
(("" (bddsimp)
(("" (skolem 1 t)
(("" (bddsimp)
(("" (expand strongPartialRefinement)
(("" (bddsimp)
(("1" (expand subset?)
(("1" (skolem 1 c)
(("1" (bddsimp)
(("1" (inst -4 c)
(("1" (expand member)
(("1" (bddsimp)
(("1" (inst -3 c) (("1" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand subset?)
(("2" (skolem 1 c)
(("2" (inst -4 c)
(("2" (bddsimp)
(("2" (inst -2 c) (("2" (bddsimp) nil nil)) nil))
nil))
nil))
nil))
nil)
("3" (expand subset?)
(("3" (skolem 1 c)
(("3" (inst -4 c)
(("3" (bddsimp)
(("3" (inst -1 c) (("3" (bddsimp) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((Conf formal-type-decl nil PartialRefDefault nil)
(member const-decl "bool" sets nil)
(subset? const-decl "bool" sets nil)
(strongPartialRefinement const-decl "bool" PartialRefDefault nil))
shostak))
(fmCompStrongDef 0
(fmCompStrongDef-1 nil 3656090730
("" (expand* fmPartialRefinement strongPartialRefinement subset)
(("" (expand subset?)
(("" (expand member)
(("" (expand prod)
(("" (use assetRefinement)
(("" (expand preorder?)
(("" (flatten)
(("" (expand reflexive?)
(("" (skolem 1 (pl fm2 s))
(("" (bddsimp)
(("1" (skolem 1 c)
(("1" (inst -1 "([||](K(pl))(A(pl))(c))")
(("1" (bddsimp) nil nil)) nil))
nil)
("2" (skolem 1 c)
(("2" (inst -3 c) (("2" (bddsimp) nil nil))
nil))
nil)
("3" (skolem 1 c)
(("3" (inst -3 c) (("3" (bddsimp) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((strongPartialRefinement const-decl "bool" PartialRefDefault nil)
nil (member const-decl "bool" sets nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(Conf formal-type-decl nil PartialRefDefault nil)
(FM formal-type-decl nil PartialRefDefault nil)
(Asset formal-type-decl nil PartialRefDefault nil)
(AssetName formal-type-decl nil PartialRefDefault nil)
(CK formal-type-decl nil PartialRefDefault nil)
(boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(set type-eq-decl nil sets nil)
({\|\|} formal-const-decl "[FM -> set[Conf]]" PartialRefDefault nil)
(is_finite const-decl "bool" finite_sets nil)
(finite_set type-eq-decl nil finite_sets nil)
(unique const-decl "bool" maps nil)
(mapping type-eq-decl nil maps 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)
(reflexive? const-decl "bool" relations nil)
(preorder? const-decl "bool" orders nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
(subset? const-decl "bool" sets nil))
shostak))
(fmRefStrongDef 0
(fmRefStrongDef-1 nil 3666777236
("" (skolem 1 (pl fm2 s))
(("" (expand strongPartialRefinement)
(("" (bddsimp)
(("1" (skolem 1 c)
(("1" (expand prod)
(("1" (use assetRefinement)
(("1" (expand preorder?)
(("1" (expand reflexive?)
(("1" (flatten)
(("1" (inst -1 "([||](K(pl))(A(pl))(c))") nil nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (expand subset?)
(("2" (expand "|=")
(("2" (skolem 1 c)
(("2" (inst -1 c)
(("2" (expand subset?)
(("2" (inst -2 c) (("2" (bddsimp) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((strongPartialRefinement const-decl "bool" PartialRefDefault nil)
(subset? const-decl "bool" sets nil)
(\|= const-decl "bool" SPLrefinement nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(Conf formal-type-decl nil PartialRefDefault nil)
(FM formal-type-decl nil PartialRefDefault nil)
(Asset formal-type-decl nil PartialRefDefault nil)
(AssetName formal-type-decl nil PartialRefDefault nil)
(CK formal-type-decl nil PartialRefDefault nil)
(boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(set type-eq-decl nil sets nil)
({\|\|} formal-const-decl "[FM -> set[Conf]]" PartialRefDefault nil)
(is_finite const-decl "bool" finite_sets nil)
(finite_set type-eq-decl nil finite_sets nil)
(unique const-decl "bool" maps nil)
(mapping type-eq-decl nil maps nil)
(reflexive? const-decl "bool" relations 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)
(preorder? const-decl "bool" orders nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement
nil))
shostak))
(ckWeakerEqStrongDef 0
(ckWeakerEqStrongDef-1 nil 3669366876
("" (skolem 1 (pl ck2 s))
(("" (expand strongPartialRefinement)
(("" (bddsimp)
(("" (expand ckWeakerEq)
(("" (skolem 1 c)
(("" (expand prod)
(("" (bddsimp)
(("" (use assetRefinement)
(("" (expand preorder?)
(("" (flatten)
(("" (expand reflexive?)
(("" (inst -1 "([||](ck2)(A(pl))(c))")
(("" (inst -4 "A(pl)" c)
(("" (bddsimp)
((""
(replace -5 1)
(("" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((preorder? const-decl "bool" orders nil)
(reflexive? const-decl "bool" relations 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)
(mapping type-eq-decl nil maps nil)
(unique const-decl "bool" maps nil)
(finite_set type-eq-decl nil finite_sets nil)
(is_finite const-decl "bool" finite_sets nil)
({\|\|} formal-const-decl "[FM -> set[Conf]]" PartialRefDefault nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(CK formal-type-decl nil PartialRefDefault nil)
(AssetName formal-type-decl nil PartialRefDefault nil)
(Asset formal-type-decl nil PartialRefDefault nil)
(FM formal-type-decl nil PartialRefDefault nil)
(Conf formal-type-decl nil PartialRefDefault nil)
(assetRefinement formula-decl nil SPLrefinement nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
nil
(strongPartialRefinement const-decl "bool" PartialRefDefault nil))
shostak))
(partCaseStrongerPLRef 0
(partCaseStrongerPLRef-1 nil 3668719714
("" (skolem 1 (pl1 pl2 s))
(("" (bddsimp)
(("1" (replace -1 -2)
(("1" (expand strongPartialRefinement)
(("1" (expand strongerPLrefinement)
(("1" (skolem 1 c)
(("1" (flatten)
(("1" (inst -4 c)
(("1" (expand prod)
(("1" (expand subset?)
(("1" (inst -2 c)
(("1" (inst -3 c)
(("1" (expand member)
(("1" (bddsimp) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (replace -1 1)
(("2" (expand strongerPLrefinement)
(("2" (expand strongPartialRefinement)
(("2" (bddsimp)
(("1" (skolem 1 c)
(("1" (inst -2 c)
(("1" (expand prod) (("1" (bddsimp) nil nil)) nil))
nil))
nil)
("2" (expand subset?)
(("2" (skolem 1 c)
(("2" (inst -2 c)
(("2" (expand member) (("2" (bddsimp) nil nil))
nil))
nil))
nil))
nil)
("3" (expand subset?)
(("3" (skolem 1 c) (("3" (bddsimp) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((strongPartialRefinement const-decl "bool" PartialRefDefault nil)
(Conf formal-type-decl nil PartialRefDefault nil)
(subset? const-decl "bool" sets nil)
(member const-decl "bool" sets nil)
(prod const-decl "finite_sets[Asset].finite_set" SPLrefinement nil)
(strongerPLrefinement const-decl "bool" SPLrefinement nil))
shostak))
(totalImpliesPartial 0
(totalImpliesPartial-1 nil 3658524570
("" (skolem 1 (pl1 pl2 s))
(("" (flatten)
(("" (expand* strongerPLrefinement strongPartialRefinement)
(("" (expand subset?)
(("" (expand member)
(("" (bddsimp)
(("1" (skolem 1 c)
(("1" (inst -1 c)
(("1" (bddsimp)
(("1" (expand prod) (("1" (propax) nil nil)) nil)
("2" (typepred s)
(("2" (expand subset?)
(("2" (inst -1 c)
(("2" (expand member)
(("2" (assert) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (skolem 1 c)
(("2" (inst -1 c)
(("2" (bddsimp)
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