(complementary_lattices
(dual_dual 0
(dual_dual-1 nil 3318702826
("" (skolem!)
(("" (decompose-equality)
(("" (expand * "dual" "o" )
(("" (rewrite "complement_complement" )
(("" (rewrite "complement_complement" ) nil nil )) nil ))
nil ))
nil ))
nil )
((dual const-decl "[T -> T]" complementary_lattices nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(pred type-eq-decl nil defined_types nil )
(complement? const-decl "bool" complementary_orders nil )
(lattice? const-decl "bool" bounded_orders nil )
(<= formal-const-decl "(lattice?[T])" complementary_lattices nil )
(T formal-nonempty-type-decl nil complementary_lattices nil )
(complement_complement formula-decl nil complementary_orders nil )
(O const-decl "T3" function_props nil ))
shostak))
(dual_inclusion1 0
(dual_inclusion1-1 nil 3318704200
("" (skolem!)
(("" (expand * "dual" "o" )
(("" (lemma "le_complement" )
(("" (inst - "<=" "C!1(t!1)" "H!1(C!1(t!1))" "C!1" )
(("" (rewrite "complement_complement" ) (("" (prop) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((O const-decl "T3" function_props nil )
(dual const-decl "[T -> T]" complementary_lattices nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(pred type-eq-decl nil defined_types nil )
(lattice? const-decl "bool" bounded_orders nil )
(<= formal-const-decl "(lattice?[T])" complementary_lattices nil )
(complement? const-decl "bool" complementary_orders nil )
(complement_complement formula-decl nil complementary_orders nil )
(le_complement formula-decl nil complementary_orders nil )
(T formal-nonempty-type-decl nil complementary_lattices nil ))
shostak))
(dual_inclusion2 0
(dual_inclusion2-1 nil 3318704371
("" (skolem!)
(("" (expand * "dual" "o" )
(("" (lemma "le_complement" )
(("" (inst - "<=" "H!1(C!1(t!1))" "C!1(t!1)" "C!1" )
(("" (rewrite "complement_complement" ) (("" (prop) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((O const-decl "T3" function_props nil )
(dual const-decl "[T -> T]" complementary_lattices nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(pred type-eq-decl nil defined_types nil )
(lattice? const-decl "bool" bounded_orders nil )
(<= formal-const-decl "(lattice?[T])" complementary_lattices nil )
(complement? const-decl "bool" complementary_orders nil )
(complement_complement formula-decl nil complementary_orders nil )
(le_complement formula-decl nil complementary_orders nil )
(T formal-nonempty-type-decl nil complementary_lattices nil ))
shostak))
(dual_inclusion3 0
(dual_inclusion3-1 nil 3318704401
("" (skolem!)
(("" (expand * "dual" "o" )
(("" (lemma "le_complement" )
(("" (inst - "<=" "t!1" "H!1(t!1)" "C!1" )
(("" (rewrite "complement_complement" ) (("" (prop) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((O const-decl "T3" function_props nil )
(dual const-decl "[T -> T]" complementary_lattices nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(pred type-eq-decl nil defined_types nil )
(lattice? const-decl "bool" bounded_orders nil )
(<= formal-const-decl "(lattice?[T])" complementary_lattices nil )
(complement? const-decl "bool" complementary_orders nil )
(complement_complement formula-decl nil complementary_orders nil )
(le_complement formula-decl nil complementary_orders nil )
(T formal-nonempty-type-decl nil complementary_lattices nil ))
shostak))
(dual_inclusion4 0
(dual_inclusion4-1 nil 3318704698
("" (skolem!)
(("" (expand * "dual" "o" )
(("" (lemma "le_complement" )
(("" (inst - "<=" "H!1(t!1)" "t!1" "C!1" )
(("" (rewrite "complement_complement" ) (("" (prop) nil nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((O const-decl "T3" function_props nil )
(dual const-decl "[T -> T]" complementary_lattices nil )
(boolean nonempty-type-decl nil booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(pred type-eq-decl nil defined_types nil )
(lattice? const-decl "bool" bounded_orders nil )
(<= formal-const-decl "(lattice?[T])" complementary_lattices nil )
(complement? const-decl "bool" complementary_orders nil )
(complement_complement formula-decl nil complementary_orders nil )
(le_complement formula-decl nil complementary_orders nil )
(T formal-nonempty-type-decl nil complementary_lattices nil ))
shostak)))
quality 100%
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