(infinity_arithmetic
(fp_sub_inf_def_TCC1 0
(fp_sub_inf_def_TCC1-1 nil 3507032124
("" (skolem-typepred)
(("" (rewrite "toggle_infinite")
(("" (rewrite "toggle_finite") (("" (ground) nil))))))
nil)
((toggle_infinite formula-decl nil IEEE_854_values nil)
(toggle_finite formula-decl nil IEEE_854_values nil)
(infinite? adt-recognizer-decl "[fp_num -> boolean]"
IEEE_854_values nil)
(finite? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
nil)
(fp_num type-decl nil IEEE_854_values nil)
(E_min formal-const-decl "{i: integer | E_max > i}"
infinity_arithmetic nil)
(E_max formal-const-decl "integer" infinity_arithmetic nil)
(integer nonempty-type-from-decl nil integers nil)
(p formal-const-decl "above(1)" infinity_arithmetic nil)
(b formal-const-decl "above(1)" infinity_arithmetic nil)
(above nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number nonempty-type-decl nil numbers nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil))
nil))
(fp_sub_inf_def 0
(fp_sub_inf_def-1 nil 3507032124
("" (skosimp*)
(("" (rewrite "fp_sub_inf")
(("" (rewrite "fp_add_inf")
(("" (rewrite "toggle_infinite")
(("" (lift-if)
(("" (lift-if)
(("" (ground)
(("1" (expand "toggle_sign")
(("1" (assert)
(("1" (typepred "i_sign(num2!1)")
(("1" (typepred "i_sign(num1!1)")
(("1" (ground) nil nil)) nil))
nil))
nil))
nil)
("2" (expand "toggle_sign") (("2" (propax) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((fp_sub_inf const-decl "fp_num" infinity_arithmetic nil)
(number nonempty-type-decl nil numbers nil)
(boolean nonempty-type-decl nil booleans nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(real nonempty-type-from-decl nil reals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(rational nonempty-type-from-decl nil rationals nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(int nonempty-type-eq-decl nil integers nil)
(bool nonempty-type-eq-decl nil booleans nil)
(> const-decl "bool" reals nil)
(above nonempty-type-eq-decl nil integers nil)
(b formal-const-decl "above(1)" infinity_arithmetic nil)
(p formal-const-decl "above(1)" infinity_arithmetic nil)
(integer nonempty-type-from-decl nil integers nil)
(E_max formal-const-decl "integer" infinity_arithmetic nil)
(E_min formal-const-decl "{i: integer | E_max > i}"
infinity_arithmetic nil)
(fp_num type-decl nil IEEE_854_values nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(finite? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
nil)
(infinite? adt-recognizer-decl "[fp_num -> boolean]"
IEEE_854_values nil)
(toggle_infinite formula-decl nil IEEE_854_values nil)
(i_sign adt-accessor-decl "[(infinite?) -> sign_rep]"
IEEE_854_values nil)
(sign_rep type-eq-decl nil enumerated_type_defs nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(toggle_sign const-decl "fp_num" IEEE_854_values nil)
(fp_add_inf const-decl "fp_num" infinity_arithmetic nil))
nil))
(mult_sign_TCC1 0
(mult_sign_TCC1-1 nil 3507032124
("" (skolem-typepred) (("" (ground) nil)) nil)
((infinite? adt-recognizer-decl "[fp_num -> boolean]"
IEEE_854_values nil)
(finite? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
nil)
(fp_num type-decl nil IEEE_854_values nil)
(E_min formal-const-decl "{i: integer | E_max > i}"
infinity_arithmetic nil)
(E_max formal-const-decl "integer" infinity_arithmetic nil)
(integer nonempty-type-from-decl nil integers nil)
(p formal-const-decl "above(1)" infinity_arithmetic nil)
(b formal-const-decl "above(1)" infinity_arithmetic nil)
(above nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number nonempty-type-decl nil numbers nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil))
nil))
(mult_sign_TCC2 0
(mult_sign_TCC2-1 nil 3507032124
("" (skolem-typepred) (("" (ground) nil)) nil)
((infinite? adt-recognizer-decl "[fp_num -> boolean]"
IEEE_854_values nil)
(finite? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
nil)
(fp_num type-decl nil IEEE_854_values nil)
(E_min formal-const-decl "{i: integer | E_max > i}"
infinity_arithmetic nil)
(E_max formal-const-decl "integer" infinity_arithmetic nil)
(integer nonempty-type-from-decl nil integers nil)
(p formal-const-decl "above(1)" infinity_arithmetic nil)
(b formal-const-decl "above(1)" infinity_arithmetic nil)
(above nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number nonempty-type-decl nil numbers nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil))
nil))
(mult_sign_TCC3 0
(mult_sign_TCC3-1 nil 3507032124
("" (skolem-typepred) (("" (ground) nil)) nil)
((infinite? adt-recognizer-decl "[fp_num -> boolean]"
IEEE_854_values nil)
(finite? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
nil)
(fp_num type-decl nil IEEE_854_values nil)
(E_min formal-const-decl "{i: integer | E_max > i}"
infinity_arithmetic nil)
(E_max formal-const-decl "integer" infinity_arithmetic nil)
(integer nonempty-type-from-decl nil integers nil)
(p formal-const-decl "above(1)" infinity_arithmetic nil)
(b formal-const-decl "above(1)" infinity_arithmetic nil)
(above nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number nonempty-type-decl nil numbers nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil))
nil))
(mult_sign_TCC4 0
(mult_sign_TCC4-1 nil 3507032124
("" (skolem-typepred) (("" (ground) nil)) nil)
((infinite? adt-recognizer-decl "[fp_num -> boolean]"
IEEE_854_values nil)
(finite? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
nil)
(fp_num type-decl nil IEEE_854_values nil)
(E_min formal-const-decl "{i: integer | E_max > i}"
infinity_arithmetic nil)
(E_max formal-const-decl "integer" infinity_arithmetic nil)
(integer nonempty-type-from-decl nil integers nil)
(p formal-const-decl "above(1)" infinity_arithmetic nil)
(b formal-const-decl "above(1)" infinity_arithmetic nil)
(above nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(int nonempty-type-eq-decl nil integers nil)
(integer_pred const-decl "[rational -> boolean]" integers nil)
(rational nonempty-type-from-decl nil rationals nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(number_field nonempty-type-from-decl nil number_fields nil)
(number_field_pred const-decl "[number -> boolean]" number_fields
nil)
(number nonempty-type-decl nil numbers nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil))
nil))
(fp_div_inf_TCC1 0
(fp_div_inf_TCC1-1 nil 3507032124
("" (skosimp*) (("" (assert) nil)) nil)
((real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil))
nil)))
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