(virtual_clock_1
(turns_TCC1 0
(turns_TCC1-1 nil 3399252479 ("" (subtype-tcc) nil nil)
((boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(number nonempty-type-decl nil numbers 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)
(>= const-decl "bool" reals nil)
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(AND const-decl "[bool, bool -> bool]" booleans nil)
(<= const-decl "bool" reals nil)
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(/= const-decl "boolean" notequal 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)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(nnreal type-eq-decl nil real_types nil)
(rho formal-const-decl "nnreal" virtual_clock_1 nil)
(rate const-decl "posreal" physical_clocks nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(good_clock nonempty-type-eq-decl nil physical_clocks nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(posnat nonempty-type-eq-decl nil integers nil)
(P formal-const-decl "posnat" virtual_clock_1 nil)
(T0 formal-const-decl "int" virtual_clock_1 nil)
(interval_clock type-eq-decl nil interval_clocks nil)
(weakly_accurate? const-decl "bool" interval_clocks nil)
(alpha_l formal-const-decl "nnreal" virtual_clock_1 nil)
(alpha_u formal-const-decl "nnreal" virtual_clock_1 nil)
(P_bound? const-decl "bool" synch_parameter_constraints nil)
(pi_0 formal-const-decl
"{pi_0: posreal | P_bound?(P, rho, alpha_l, alpha_u, pi_0)}"
virtual_clock_1 nil)
(p_min const-decl "posreal" synch_constant_definitions nil)
(p_max const-decl "posreal" synch_constant_definitions nil)
(weakly_accurate_clock type-eq-decl nil synch_protocol_invariants
nil)
(T const-decl "int" interval_clocks nil)
(t const-decl "real" interval_clocks nil)
(adjustment_lower_bound? const-decl "bool" interval_clocks nil)
(adjustment_upper_bound? const-decl "bool" interval_clocks nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
real_types nil)
(int_plus_int_is_int application-judgement "int" integers nil)
(mult_divides2 application-judgement "(divides(m))" divides nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
(nnint_times_nnint_is_nnint application-judgement "nonneg_int"
integers nil)
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil)
(posreal_plus_nnreal_is_posreal application-judgement "posreal"
real_types nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_minus_real_is_real application-judgement "real" reals nil))
nil))
(turns_increasing 0
(turns_increasing-1 nil 3399252505
("" (expand "increasing?")
(("" (skosimp*)
(("" (expand "turns")
(("" (rewrite "T_def")
(("" (lift-if)
(("" (prop)
(("1" (replace*)
(("1" (rewrite "clock_increasing") nil nil)) nil)
("2" (typepred "ac!1")
(("2" (expand* "weakly_accurate?" "p_min")
(("2" (flatten)
(("2" (lemma "P_bound")
(("2" (lemma "nonoverlap_round")
(("2"
(inst - "P" "ac!1" "ac!1" "i!1 - 1"
"pi_0 + max(alpha_l, alpha_u)")
(("1" (rewrite "T_def")
(("1" (assert)
(("1"
(expand "adjustment_lower_bound?")
(("1"
(skosimp*)
(("1"
(inst?)
(("1" (assert) nil nil))
nil))
nil))
nil))
nil))
nil)
("2" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(even_minus_odd_is_odd application-judgement "odd_int" integers
nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(T_def formula-decl nil interval_clocks nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(+ const-decl "[numfield, numfield -> numfield]" 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)
(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)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(posnat nonempty-type-eq-decl nil integers nil)
(P formal-const-decl "posnat" virtual_clock_1 nil)
(T0 formal-const-decl "int" virtual_clock_1 nil)
(nnreal type-eq-decl nil real_types nil)
(rho formal-const-decl "nnreal" virtual_clock_1 nil)
(odd_minus_odd_is_even application-judgement "even_int" integers
nil)
(odd_plus_odd_is_even application-judgement "even_int" integers
nil)
(int_plus_int_is_int application-judgement "int" integers nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(clock_increasing formula-decl nil physical_clocks nil)
(T const-decl "int" interval_clocks nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(<= const-decl "bool" reals nil)
(/= const-decl "boolean" notequal 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)
(posreal nonempty-type-eq-decl nil real_types nil)
(rate const-decl "posreal" physical_clocks nil)
(good_clock nonempty-type-eq-decl nil physical_clocks nil)
(interval_clock type-eq-decl nil interval_clocks nil)
(weakly_accurate? const-decl "bool" interval_clocks nil)
(alpha_l formal-const-decl "nnreal" virtual_clock_1 nil)
(alpha_u formal-const-decl "nnreal" virtual_clock_1 nil)
(P_bound? const-decl "bool" synch_parameter_constraints nil)
(pi_0 formal-const-decl
"{pi_0: posreal | P_bound?(P, rho, alpha_l, alpha_u, pi_0)}"
virtual_clock_1 nil)
(p_min const-decl "posreal" synch_constant_definitions nil)
(p_max const-decl "posreal" synch_constant_definitions nil)
(weakly_accurate_clock type-eq-decl nil synch_protocol_invariants
nil)
(real_minus_real_is_real application-judgement "real" reals nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(P_bound formula-decl nil synch_constant_definitions nil)
(posreal_plus_nnreal_is_posreal application-judgement "posreal"
real_types nil)
(i!1 skolem-const-decl "nat" virtual_clock_1 nil)
(max const-decl "{p: real | p >= m AND p >= n}" real_defs nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(mult_divides2 application-judgement "(divides(m))" divides nil)
(mult_divides1 application-judgement "(divides(n))" divides nil)
(even_times_int_is_even application-judgement "even_int" integers
nil)
(posint_times_posint_is_posint application-judgement "posint"
integers nil)
(minus_odd_is_odd application-judgement "odd_int" integers nil)
(adjustment_lower_bound? const-decl "bool" interval_clocks nil)
(nnreal_plus_posreal_is_posreal application-judgement "posreal"
real_types nil)
(nnreal_plus_nnreal_is_nnreal application-judgement "nnreal"
real_types nil)
(nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
real_types nil)
(nonneg_real_max application-judgement
"{z: nonneg_real | z >= x AND z >= y}" real_defs nil)
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil)
(nonoverlap_round formula-decl nil interval_clocks nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(turns const-decl "real" virtual_clock_1 nil)
(increasing? const-decl "bool" event_sequences nil))
nil))
(turns_unbounded 0
(turns_unbounded-1 nil 3399252518
("" (expand "unbounded?")
(("" (skosimp*)
(("" (lemma "axiom_of_archimedes")
(("" (inst - "(t!1 - t(ac!1)(0))/ p_min")
(("" (skosimp*)
(("" (cross-mult)
(("" (isolate -1 l 1)
(("" (case "i!1 >= 0")
(("1" (inst + "1 + i!1")
(("1" (typepred "ac!1")
(("1" (expand "weakly_accurate?")
(("1" (flatten)
(("1" (lemma "lower_interval_accuracy")
(("1"
(inst - "pi_0 + alpha_l" "ac!1" "i!1"
"p_min" 0)
(("1"
(use "p_min")
(("1"
(assert)
(("1"
(prop)
(("1"
(expand "turns")
(("1"
(expand "t")
(("1"
(lemma "clock_nondecreasing")
(("1"
(inst
-
"T(i!1)"
"T(i!1 + 1)"
"ac!1(i!1)")
(("1"
(rewrite "T_def")
(("1" (assert) nil nil))
nil))
nil))
nil))
nil))
nil)
("2"
(expand "lower_accuracy_bound?")
(("2"
(inst?)
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nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (assert) nil nil))
nil)
("2" (assert)
(("2" (inst + 0)
(("2" (mult-by 1 "p_min")
(("2" (assert)
(("2" (expand "turns")
(("2" (expand "t") (("2" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((real_div_nzreal_is_real application-judgement "real" reals nil)
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(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)
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(/= const-decl "boolean" notequal nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(rational_pred const-decl "[real -> boolean]" rationals nil)
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(bool nonempty-type-eq-decl nil booleans nil)
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(nonneg_real nonempty-type-eq-decl nil real_types nil)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(nnreal type-eq-decl nil real_types nil)
(rho formal-const-decl "nnreal" virtual_clock_1 nil)
(rate const-decl "posreal" physical_clocks nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(good_clock nonempty-type-eq-decl nil physical_clocks nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(posnat nonempty-type-eq-decl nil integers nil)
(P formal-const-decl "posnat" virtual_clock_1 nil)
(T0 formal-const-decl "int" virtual_clock_1 nil)
(interval_clock type-eq-decl nil interval_clocks nil)
(t const-decl "real" interval_clocks nil)
(weakly_accurate? const-decl "bool" interval_clocks nil)
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(alpha_u formal-const-decl "nnreal" virtual_clock_1 nil)
(P_bound? const-decl "bool" synch_parameter_constraints nil)
(pi_0 formal-const-decl
"{pi_0: posreal | P_bound?(P, rho, alpha_l, alpha_u, pi_0)}"
virtual_clock_1 nil)
(p_min const-decl "posreal" synch_constant_definitions nil)
(p_max const-decl "posreal" synch_constant_definitions nil)
(weakly_accurate_clock type-eq-decl nil synch_protocol_invariants
nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_times_real_is_real application-judgement "real" reals nil)
(real_minus_real_is_real application-judgement "real" reals nil)
(div_mult_pos_lt1 formula-decl nil real_props nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(posreal_plus_nnreal_is_posreal application-judgement "posreal"
real_types nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(lower_accuracy_bound? const-decl "bool" interval_clocks nil)
(turns const-decl "real" virtual_clock_1 nil)
(clock_nondecreasing formula-decl nil physical_clocks nil)
(T_def formula-decl nil interval_clocks nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(even_minus_odd_is_odd application-judgement "odd_int" integers
nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(T const-decl "int" interval_clocks nil)
(lower_interval_accuracy formula-decl nil interval_clocks nil)
(i!1 skolem-const-decl "int" virtual_clock_1 nil)
(int_plus_int_is_int application-judgement "int" integers nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
real_types nil)
(both_sides_times_pos_ge1 formula-decl nil real_props nil)
(real_plus_real_is_real application-judgement "real" reals nil)
(IFF const-decl "[bool, bool -> bool]" booleans nil)
(< const-decl "bool" reals nil)
(* const-decl "[numfield, numfield -> numfield]" number_fields nil)
(axiom_of_archimedes formula-decl nil real_props nil)
(unbounded? const-decl "bool" event_sequences nil))
nil))
(turns_event_sequence 0
(turns_event_sequence-2 nil 3399252535
("" (skosimp*)
(("" (rewrite "turns_increasing")
(("" (rewrite "turns_unbounded") nil nil)) nil))
nil)
((turns_increasing formula-decl nil virtual_clock_1 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)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(<= const-decl "bool" reals nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal 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)
(> const-decl "bool" reals nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(nnreal type-eq-decl nil real_types nil)
(rho formal-const-decl "nnreal" virtual_clock_1 nil)
(rate const-decl "posreal" physical_clocks nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(good_clock nonempty-type-eq-decl nil physical_clocks nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(posnat nonempty-type-eq-decl nil integers nil)
(P formal-const-decl "posnat" virtual_clock_1 nil)
(T0 formal-const-decl "int" virtual_clock_1 nil)
(interval_clock type-eq-decl nil interval_clocks nil)
(weakly_accurate? const-decl "bool" interval_clocks nil)
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(alpha_u formal-const-decl "nnreal" virtual_clock_1 nil)
(P_bound? const-decl "bool" synch_parameter_constraints nil)
(pi_0 formal-const-decl
"{pi_0: posreal | P_bound?(P, rho, alpha_l, alpha_u, pi_0)}"
virtual_clock_1 nil)
(p_min const-decl "posreal" synch_constant_definitions nil)
(p_max const-decl "posreal" synch_constant_definitions nil)
(weakly_accurate_clock type-eq-decl nil synch_protocol_invariants
nil)
(turns_unbounded formula-decl nil virtual_clock_1 nil))
nil)
(turns_event_sequence-1 nil 3399252479 ("" (judgement-tcc) nil nil)
nil nil))
(turns_nonoverlap 0
(turns_nonoverlap-1 nil 3399252550
("" (expand "nonoverlap?")
(("" (skosimp*)
(("" (use "ADJ_bound")
(("" (expand "turns")
(("" (rewrite "T_def")
(("" (lift-if)
(("" (expand "compatible?")
(("" (prop)
(("1" (hide-all-but (1 -6 -1 -2))
(("1" (replace*)
(("1" (use "nonoverlap_peers")
(("1" (expand "ADJ") (("1" (assert) nil nil))
nil))
nil))
nil))
nil)
("2" (hide-all-but (2 1 -3 -1))
(("2" (lemma "nonoverlap_lower")
(("2"
(inst - _ _ _ _ _
"pi_0 + max(alpha_l, alpha_u)")
(("2" (inst?)
(("1" (inst?)
(("1" (expand "ADJ")
(("1" (assert) nil nil)) nil))
nil)
("2" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((turns const-decl "real" virtual_clock_1 nil)
(ADJ const-decl "nat" synch_constant_definitions nil)
(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)
(nonneg_floor_is_nat application-judgement "nat" floor_ceil nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(nnreal_plus_nnreal_is_nnreal application-judgement "nnreal"
real_types nil)
(nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
real_types nil)
(max const-decl "{p: real | p >= m AND p >= n}" real_defs nil)
(weakly_accurate_clock type-eq-decl nil synch_protocol_invariants
nil)
(p_max const-decl "posreal" synch_constant_definitions nil)
(p_min const-decl "posreal" synch_constant_definitions nil)
(weakly_accurate? const-decl "bool" interval_clocks nil)
(interval_clock type-eq-decl nil interval_clocks nil)
(good_clock nonempty-type-eq-decl nil physical_clocks nil)
(rate const-decl "posreal" physical_clocks nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
(<= const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(T const-decl "int" interval_clocks nil)
(nonoverlap_peers formula-decl nil interval_clocks nil)
(nonoverlap_lower formula-decl nil interval_clocks nil)
(k!1 skolem-const-decl "nat" virtual_clock_1 nil)
(posreal_plus_nnreal_is_posreal application-judgement "posreal"
real_types nil)
(compatible? const-decl "bool" interval_clocks nil)
(nnreal_plus_posreal_is_posreal application-judgement "posreal"
real_types nil)
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_minus_real_is_real application-judgement "real" reals nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(int_plus_int_is_int application-judgement "int" integers nil)
(odd_plus_odd_is_even application-judgement "even_int" integers
nil)
(odd_minus_odd_is_even application-judgement "even_int" integers
nil)
(even_minus_odd_is_odd application-judgement "odd_int" integers
nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(T_def formula-decl nil interval_clocks nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(pi_0 formal-const-decl
"{pi_0: posreal | P_bound?(P, rho, alpha_l, alpha_u, pi_0)}"
virtual_clock_1 nil)
(P_bound? const-decl "bool" synch_parameter_constraints nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(alpha_u formal-const-decl "nnreal" virtual_clock_1 nil)
(alpha_l formal-const-decl "nnreal" virtual_clock_1 nil)
(rho formal-const-decl "nnreal" virtual_clock_1 nil)
(nnreal type-eq-decl nil real_types nil)
(T0 formal-const-decl "int" virtual_clock_1 nil)
(P formal-const-decl "posnat" virtual_clock_1 nil)
(posnat nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
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virtual_clock_1 nil)
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(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
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real_props nil))
nil)
(VC1_precision_TCC2-2 nil 3399114847
("" (skosimp*)
(("" (use "trace_weakly_accurate") (("" (assert) nil nil)) nil))
nil)
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(interval_clock type-eq-decl nil interval_clocks nil)
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(rate const-decl "posreal" physical_clocks nil)
(is_finite const-decl "bool" finite_sets nil)
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(non_empty_finite_set type-eq-decl nil finite_sets nil))
nil)
(VC1_precision_TCC2-1 nil 3295104233
("" (skosimp*)
(("" (expand "synch_protocol_invariants?")
(("" (flatten)
(("" (use "traces_lower")
(("" (use "traces_upper") (("" (assert) nil nil)) nil)) nil))
nil))
nil))
nil)
((synch_protocol_invariants? const-decl "bool"
synch_protocol_invariants nil)
(traces_lower formula-decl nil synch_protocol_invariants nil)
(interval_clock type-eq-decl nil interval_clocks nil)
(good_clock nonempty-type-eq-decl nil physical_clocks nil)
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(finite_set type-eq-decl nil finite_sets nil)
(non_empty_finite_set type-eq-decl nil finite_sets nil)
(traces_upper formula-decl nil synch_protocol_invariants nil))
shostak))
(VC1_precision 0
(VC1_precision-3 nil 3399113545
("" (skosimp*)
(("" (lemma "trace_weakly_accurate")
(("" (inst-cp - _ "ic2!1")
(("" (inst - _ "ic1!1")
(("" (inst?)
(("" (inst?)
(("" (assert)
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(("" (lemma "VC_precision")
(("" (inst?)
((""
(inst - "ADJ + 1"
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(("" (expand "Pi")
(("" (expand "P_max")
(("" (assert)
((""
(hide 2)
((""
(lemma "traces_compatible")
((""
(inst
-
"alpha_l"
"alpha_u"
"hst!1"
_
_
"pi_0")
((""
(inst-cp - "ic1!1" "ic2!1")
((""
(inst - "ic2!1" "ic1!1")
((""
(assert)
((""
(expand "p_lower")
((""
(expand "p_upper")
((""
(assert)
((""
(rewrite
"turns_self")
((""
(rewrite
"turns_self")
((""
(rewrite
"turns_nonoverlap")
((""
(rewrite
"turns_nonoverlap")
((""
(rewrite
"turns_cross")
((""
(rewrite
"turns_cross")
((""
(expand
"turns")
((""
(expand
"t")
((""
(propax)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
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nil))
nil))
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nil))
nil))
nil))
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nil))
nil))
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nil))
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nil))
nil))
nil)
((pi_0 formal-const-decl
"{pi_0: posreal | P_bound?(P, rho, alpha_l, alpha_u, pi_0)}"
virtual_clock_1 nil)
(P_bound? const-decl "bool" synch_parameter_constraints nil)
(posreal nonempty-type-eq-decl nil real_types nil)
(nonneg_real nonempty-type-eq-decl nil real_types nil)
(alpha_u formal-const-decl "nnreal" virtual_clock_1 nil)
(alpha_l formal-const-decl "nnreal" virtual_clock_1 nil)
(rho formal-const-decl "nnreal" virtual_clock_1 nil)
(nnreal type-eq-decl nil real_types nil)
(T0 formal-const-decl "int" virtual_clock_1 nil)
(P formal-const-decl "posnat" virtual_clock_1 nil)
(posnat nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(nonneg_int nonempty-type-eq-decl nil integers nil)
(>= const-decl "bool" reals nil)
(bool nonempty-type-eq-decl nil booleans 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(trace_weakly_accurate formula-decl nil synch_protocol_invariants
nil)
(VC1 const-decl "int" virtual_clock_1 nil)
(turns_event_sequence application-judgement "event_sequence"
virtual_clock_1 nil)
(turns const-decl "real" virtual_clock_1 nil)
(weakly_accurate_clock type-eq-decl nil synch_protocol_invariants
nil)
(p_max const-decl "posreal" synch_constant_definitions nil)
(p_min const-decl "posreal" synch_constant_definitions nil)
(weakly_accurate? const-decl "bool" interval_clocks nil)
(event_sequence type-eq-decl nil event_sequences nil)
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(increasing? const-decl "bool" event_sequences nil)
(nnreal_times_nnreal_is_nnreal application-judgement "nnreal"
real_types nil)
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real_types nil)
(posreal_plus_nnreal_is_posreal application-judgement "posreal"
real_types nil)
(nonneg_real_max application-judgement
"{z: nonneg_real | z >= x AND z >= y}" real_defs nil)
(posreal_times_posreal_is_posreal application-judgement "posreal"
real_types nil)
(Pi const-decl "posnat" synch_constant_definitions nil)
(Pi const-decl "int" virtual_clocks nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(nonneg_ceiling_is_nat application-judgement "nat" floor_ceil nil)
(traces_compatible formula-decl nil synch_protocol_invariants nil)
(posreal_div_posreal_is_posreal application-judgement "posreal"
real_types nil)
(real_minus_real_is_real application-judgement "real" reals nil)
(p_upper const-decl "posreal" synch_constant_definitions nil)
(turns_self formula-decl nil virtual_clock_1 nil)
(turns_nonoverlap formula-decl nil virtual_clock_1 nil)
(turns_cross formula-decl nil virtual_clock_1 nil)
(t const-decl "real" interval_clocks nil)
(p_lower const-decl "posreal" synch_constant_definitions nil)
(P_max const-decl "posnat" synch_constant_definitions nil)
(ADJ const-decl "nat" synch_constant_definitions nil)
(max const-decl "{p: real | p >= m AND p >= n}" real_defs nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil)
(nnreal_plus_posreal_is_posreal application-judgement "posreal"
real_types nil)
(VC_precision formula-decl nil virtual_clocks nil)
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil)
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real_defs nil)
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(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(- const-decl "[numfield, numfield -> numfield]" number_fields nil)
(rate const-decl "posreal" physical_clocks nil)
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil)
(nznum nonempty-type-eq-decl nil number_fields nil)
(/= const-decl "boolean" notequal nil)
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(<= const-decl "bool" reals nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(int_minus_int_is_int application-judgement "int" integers nil))
nil)
(VC1_precision-2 nil 3286884794
("" (skosimp*)
(("" (expand "VC1")
(("" (use "VC_precision")
(("" (assert)
(("" (rewrite "turns_self")
(("" (rewrite "turns_compatible")
(("" (use "traces_compatible")
(("" (assert)
(("" (expand "compatible?")
(("" (flatten)
--> --------------------
--> maximum size reached
--> --------------------
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