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(("2" (typepred "y!1")
(("2" (rewrite "Arg_inv")
(("2" (assert)
(("2" (inst + "x!2" "-y!1")
(("2" (rewrite "minus_add") nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (lemma "real_is_complex" ("x" "1"))
(("2" (rewrite "closed_divides") nil nil)) nil))
nil))
nil))
nil)
((div_def formula-decl nil number_fields 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)
(/= const-decl "boolean" notequal nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(complex_pred const-decl "[number_field -> boolean]" complex_types
nil)
(complex nonempty-type-from-decl nil complex_types nil)
(nzcomplex nonempty-type-eq-decl nil complex_types nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(nzcomplex_div_nzcomplex_is_nzcomplex application-judgement
"nzcomplex" complex_types nil)
(nzcomplex_times_nzcomplex_is_nzcomplex application-judgement
"nzcomplex" complex_types nil)
(real nonempty-type-from-decl nil reals nil)
(real_pred const-decl "[number_field -> boolean]" reals nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(Arg const-decl "nonempty_set[real]" complex_sets nil)
(nonempty_set type-eq-decl nil sets nil)
(nonempty? const-decl "bool" sets nil)
(set type-eq-decl nil sets nil)
(bool nonempty-type-eq-decl nil booleans nil)
(Arg_inv formula-decl nil complex_sets nil)
(minus_nzcomplex_is_nzcomplex application-judgement "nzcomplex"
complex_types nil)
(minus_odd_is_odd application-judgement "odd_int" integers nil)
(complex_plus_complex_is_complex application-judgement "complex"
complex_types nil)
(real_plus_real_is_real application-judgement "real" reals nil)
(minus_add formula-decl nil number_fields nil)
(y!1 skolem-const-decl "(Arg(b))" complex_sets nil)
(- const-decl "[numfield -> numfield]" number_fields nil)
(b skolem-const-decl "nzcomplex" complex_sets nil)
(minus_complex_is_complex application-judgement "complex"
complex_types nil)
(minus_real_is_real application-judgement "real" reals nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(complex_minus_complex_is_complex application-judgement "complex"
complex_types nil)
(real_minus_real_is_real application-judgement "real" reals nil)
(Arg_mult formula-decl nil complex_sets nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil))
shostak)))
¤ Dauer der Verarbeitung: 0.30 Sekunden
(vorverarbeitet)
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