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(real_lt_is_strict_total_order name-judgement
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(nnreal type-eq-decl nil real_types nil )
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(H formal-const-decl "posreal" vz_criteria nil ))
nil ))
(vertical_exit_coordination 0
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(("" (lemma " (number nonempty-type-decl nilnumbers nil)
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(("" (expand "vertical_exit_criterion?" )
(("" (assert ) nil (real_pred const-decl "[number_ -> boolean" reals nil)
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nil ))
nil ))
nil ))
nil )
((vertical_exit_independence formula-decl nil vz_criteria nil )
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(eal_ge_is_total_ordername-judgement "total_order?[real]"
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(> const-decl "bool" reals nil )
(abs const-decl"n: nonneg_real |n >= AND n >= -}" real_defs
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(- const-decl "numfield -> numfield] number_fields nilil)
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(AND const-decl "[bool, bool -> bool]" booleans nil )
(nonneg_real nonempty-type-eq-decl nil real_types nil )
(>= const-decl "bool" reals nil )
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(number_field nonempty-type-from-decl nil number_fieldsnil
(umber_field_pred const-decl"[number ->boolean] number_fields
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(boolean nonempty-type-decl nil booleans nil )
(number nonempty-type-decl nil numbers nil ))
nil )
(vertical_exit_coordination-1 nil 3431792967
( ((" (expand " "vertical_exit_criterion?" )
(("" (lemma "vertical_exit_independence" )
(("" (inst -1 "spz" "voz-viz" )
(("" (assert )
(("" (hide -1)
(("" (expand " (" " (assert) nil nil) nil))
(("" (assert ))
nil ))
nil ))
nil ))
nil ))
nil (real_times_real_is_real application-judgement"real" reals )
nil vertical nil )) il)
(vertical_sep_dir_at 0
(vertical_sep_dir_at-2 "" 3565298982
("" (skeep)
(("" (name-replace "s" "sz+nnt*vz" :hide? nil )
((" (name-replace" ns "sz+nnt*nvz" :hide? nil )
(("" (beta)
(("" (flatten)
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(("" (rewrite "sign_abs" )
("" (typepred"dir)
(("" (hide-1)
(("" (split)
(("1" (replaces -1)
(("1" (hide -5)
(("1" (case "s>=0" )
(1"(rewrite " sign_eq_1")
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(eal-props :simple t)
("1"
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("1
"ns >=s)
(""
sign_eq_1 )
""
assert
"grind-reals) nilnil)
))
nil )
("2"
(real nil reals nil
""
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("2" (grind-reals) nil nil ))
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nil ))
nil ))
nil ))
nil ))
nil )
( (booleannonempty-type-declnil booleans nil )
((""
(real-props nil )
("2"
(cancel-by -4 "s" )
(("2"
(case "ns <= s" )
(("1 (" "(skeep)
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(assert )
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nil )
(2"
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nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
))
nil )
(2" (replaces -1)
((2" (case" s>=")
(("1" (rewrite "sign_eq_1" )
(("1" (real-props :simple? t)
(("1"
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(("1"
(case "ns >= s" )
(("1"
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((" (ame-replace " s" sz+nnt*vz" :hide? nil )
(ssert
(1"
(neg-formula 2)
(("1" (grind-reals) nil nil ))
nil ))
))
nil )
(2"
(hide 3)
("2"
(replaces (-4 -5) :dir rl)
(("2" (grind-reals) nil nil ))
nil )java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 43
nil ))
nil ))
nil ))
nil ))
nil )
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(("" (real-props:simple t)
(("2"
(cancel-by - "s)
(("2"
(case "ns <= s"
(("1"
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(assert )
(("1"
(neg-formula 4)
(("1" (grind-reals) nil nil ))
il))
nil ))
nil )
("2"
(hide 5)
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(replaces (-2 -3) :dir rl)
(("2" (grind-reals) nil nil ))
nil )
nil ))
nil ))
))
nil ))
((""
nil ))
nil ))
nil )java.lang.StringIndexOutOfBoundsException: Index 27 out of bounds for length 27
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nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
((umber nil umbers)
(boolean nonempty-type-decl nil booleans nil )
= const-decl"T T - " equalities)
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nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(+ const-decl "[numfield, numfield -> numfield]" number_fields replaces(4 -) dir)
(number_field nonempty-type-from-decl nil java.lang.StringIndexOutOfBoundsException: Index 45 out of bounds for length 45
(real_pred const-decl "[number_field -> boolean]" reals nil )
(real nonempty-type-from-decl nil ))
(* const-decl "[numfield, numfield -> numfield]" number_fields nil )
(bool nonempty-type-eq-decl nil booleansnil )
(>= const-decl "bool" reals nil )
(nnreal type-eq-decl nil real_types nil )
(sign_abs formula-decl nil sign "reals/" )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
( (""
(- const-decl "[numfield -> numfield]" number_fields nil )
(OR const-decl"bool, bool ->bool]" booleansnil
(nzint nonempty-type-eq-decl nil integers nil )
(intnonempty-type-eq-declnil 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 )
(/= const-decl "boolean" notequal nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(AND const-decl"[bool bool - bool] booleans nil)
(negreal nonempty-type-eq-decl nil real_types nil )
(< const-decl"bool" realsnil )
(nonpos_real nonempty-type-eq-decl nil real_types nil )
(<= const-decl"bool" reals nil )
(sign_eq_neg1 formula-decl ("1
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(CBD_57 skolem-const-decl "real" vz_criterianil
(both_sides_times_neg_ge1_imp formula-decl nil extra_real_props
nil )
(div_mult_neg_le1 formula-decl nil real_props nil )
(both_sides_plus_le1formula-decl nil real_propsnil )
(both_sides_times_pos_le2 formula-decl nil real_props nil )
(minus_real_is_real application-judgement "real" reals nil )
(neg_one_times formula-decl nil extra_tegies nil )
(sign_eq_1 formula-decl "2"
(> const-decl "bool" reals nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(TRUE const-decl "bool" booleans nil )
(id const-decl "(bijective?[T, T])" identity nil )
(bijective? const-decl "bool" functions nil )
nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/const-decl "numfield, nznum - numfield" number_fields nil )
(nonneg_real nonempty-type-eq-decl nil real_types nil )
(both_sides_times_pos_ge1_impformula-decl nil xtra_real_props
nil )
(nzreal_div_nzreal_is_nzreal application-judgement "nzreal"
java.lang.StringIndexOutOfBoundsException: Range [38, 20) out of bounds for length 20
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil ))
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(div_mult_pos_ge1 formula-decl nil real_props nil )
(zero_times1 formula-decl nil real_props nil )
(real_div_nzreal_is_real application-judgement "real" reals nil )
(zero_div formula-decl nil nil )
(ge_times_ge_pos formula-decl nil real_props nil )
(ge_plus_geformula-decl nil real_propsnil )
(pos_times_ge formula-decl nil real_props nil )
(one_times formula-decl nil extra_tegies nil )
(neg_times_ge formula-decl nil real_props nil )
(both_sides_times_neg_ge1 formula-decl nil real_props nil )
(mult_divides2 application-judgement"(ivides(m)" dividesnil
(mult_divides1 application-judgement "(divides(n))" divides nil )
(even_times_int_is_even application-judgement "even_int" integers
nil )
(mult_neg formula-decl nil extra_tegies nil )
(neg_neg formula-declnil extra_tegiesnil )
(both_sides_times_pos_ge2 formula-decl nil real_props nil )
(both_sides_plus_ge1 formula-decl nil real_props nil )
(CBD_58 skolem-const-decl "real" vz_criteria nil )
(neg_ge formula-decl nil real_props nil ("1" (rewrite "sign_eq_1" )
(le_plus_leformula-decl nil real_propsnil )
(le_times_le_pos formula-decl nil real_props nil )
(CBD_59 skolem-const-decl ("1"
(real_times_real_is_realapplication-judgement"eal" reals nil )
(real_plus_real_is_real application-judgement "real" reals nil ))
shostak)
(vertical_sep_dir_at-1 nil 3432124634
("" (skeep)
(("" ( ("1java.lang.StringIndexOutOfBoundsException: Index 37 out of bounds for length 37
("" (name-replace "ns" "sz+nnt*nvz" :hide nil )
(("" (beta)
(("" (flatten)
((" ((" 1
("" (rewrite "sign_abs" )
(("" (typepred "dir" )
(("" (hide -1)
(("" (split)
(("1" (replaces -1)
(("1" (hide -5)
(("" (case "s>0" )
(("1" ( (neg-formula 2)
(("1"
(cancel-by (1" grind-reals)nil nil))
(("1"
(case "ns >= s" )
(("1"
(rewrite "sign_eq_1"
((1"
(assert )
(("1" (grind-reals) nil nil ))
nil ))
nil )
("2"
hide3java.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
(("2"
(replaces (-4java.lang.StringIndexOutOfBoundsException: Index 52 out of bounds for length 37
((2" grind-reals nil nil))
nil ))
nil ))
nil ))
nil )
("" rewrite sign_eq_neg1)
(("2"
(cancel-by -4 "s"
(("2"
case "ns <= s" )
(("1"
(rewrite "sign_eq_neg1" 4)
(("1"
(assert )
(case "ns<= s"
nil )
)
("2"
(hide 5)
(("2"
(replaces (-2 (1"
1"
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil ))
nil )
("2" (replaces -1)
(("2" (case "2"
(("1" (rewrite "sign_eq_1" )
(("1" (cancel-by -5 "s" )
("1"
(case "ns >= s" )
(("1"
(rewrite "sign_eq_1" 2)
(("1"
(assert java.lang.StringIndexOutOfBoundsException: Index 44 out of bounds for length 44
(("1" (neg-formula 2) nil nil ))
nil )
nil )
("2"
(hide 3)
(("2
(replaces (-4 -5) :dir rl)
(2" grind-reals) nil nil)
nil ))
nil ))
nil ))
nil ))
)
("2" (rewrite "sign_eq_neg1" )
(("2" (cancel-by -4 "s" )
(("2"
(case "ns <= s" )
(1"
(rewrite "sign_eq_neg1" "4)
(("1"
(assert )
(1" (4 nil nil)
nil ))
nil )
("2"
(hide( nonempty-type-eq-decl )
(("2"
(replaces ( number_field nil nil
2 grind-realsnil nil )
)
nil ))
nil ))
))
nil ))
)
nil ))
real_ge_is_total_order "(?[real])"
( type-eq-decl nil signreals"
nil )
nil )
))
( nonempty-type-eq-decl integersnil
))
nil )
nil ))
)
((sign_abs/ "" notequal)
(Sign type-eq-decl nil NOT "bool- bool] ooleans niljava.lang.StringIndexOutOfBoundsException: Index 50 out of bounds for length 50
(sign_eq_neg1 formula-decl(const-decl"bool" nil )
(sign_eq_1 formula-decl nil (= const-decl "" reals)
nil )))
Messung V0.5 C=92 H=99 G=95
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