Quelle benchmarks.prf
Sprache: Lisp
(benchmarks
(Heart_TCC1 0
(Heart_TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Heart_TCC2 0
(Heart_TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Heart_forall__TCC1 0
(Heart_forall__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Heart_forall__TCC2 0
(Heart_forall__TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Heart_forall__TCC3 0
(Heart_forall__TCC3-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Heart_forall__TCC4 0
(Heart_forall__TCC4-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Heart_forall__TCC5 0
(Heart_forall__TCC5-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Heart_forall__TCC6 0
(Heart_forall__TCC6-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Heart_forall_ 0
(Heart_forall_-1 nil 3517578450
("" (skeep)
(("" (minmax (! 1 l) :precision "0.01" :equiv? nil )
(("1" (postpone) nil nil ) ("2" (postpone) nil nil )) nil ))
nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(real_minus_real_is_real application-judgement "real" reals nil )
(nzrat_times_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(minus_real_is_real application-judgement "real" reals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil ) nil nil
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(expt_x1 formula-decl nil exponentiation nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
nil nil (product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" ) nil nil
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(Heart_exists_ 0
(Heart_exists_-1 nil 3517578450 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(gt_realorder name-judgement "RealOrder" util nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(> const-decl "bool" reals nil )
(list2array const-decl "T" array2list "structures/" )
(null adt-constructor-decl "(null?)" list_adt nil )
(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(MultiBernstein type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(Polynomial type-eq-decl nil util nil )
(Outcome type-decl nil Outcome_adt nil ))
shostak))
(Magnetism_forall__TCC1 0
(Magnetism_forall__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Magnetism_forall__TCC2 0
(Magnetism_forall__TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Magnetism_forall__TCC3 0
(Magnetism_forall__TCC3-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Magnetism_forall__TCC4 0
(Magnetism_forall__TCC4-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Magnetism_forall__TCC5 0
(Magnetism_forall__TCC5-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Magnetism_forall__TCC6 0
(Magnetism_forall__TCC6-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Magnetism_forall_ 0
(Magnetism_forall_-1 nil 3517578451 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(MPolyRel type-eq-decl nil strat_util nil )
(RealOrder type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(Coeff type-eq-decl nil util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(ge_realorder name-judgement "RealOrder" util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil )
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(expt_x1 formula-decl nil exponentiation nil )
(real_minus_real_is_real application-judgement "real" reals nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
(product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" )
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(Magnetism_exists_ 0
(Magnetism_exists_-1 nil 3517578451 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(> const-decl "bool" reals nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(MPolyRel type-eq-decl nil strat_util nil )
(RealOrder type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(Coeff type-eq-decl nil util nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(gt_realorder name-judgement "RealOrder" util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(list2array const-decl "T" array2list "structures/" )
(null adt-constructor-decl "(null?)" list_adt nil )
(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(MultiBernstein type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(Polynomial type-eq-decl nil util nil )
(Outcome type-decl nil Outcome_adt nil ))
shostak))
(Butcher_forall__TCC1 0
(Butcher_forall__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Butcher_forall__TCC2 0
(Butcher_forall__TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Butcher_forall__TCC3 0
(Butcher_forall__TCC3-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Butcher_forall__TCC4 0
(Butcher_forall__TCC4-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Butcher_forall_ 0
(Butcher_forall_-1 nil 3517578451 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans 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 "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_minus_real_is_real application-judgement "real" reals nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil )
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(expt_x1 formula-decl nil exponentiation nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
(product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" )
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(Butcher_exists_ 0
(Butcher_exists_-1 nil 3517578451 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans 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 "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(gt_realorder name-judgement "RealOrder" util nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(> const-decl "bool" reals nil )
(list2array const-decl "T" array2list "structures/" )
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(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(MultiBernstein type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(Polynomial type-eq-decl nil util nil )
(Outcome type-decl nil Outcome_adt nil ))
shostak))
(Trid_TCC1 0
(Trid_TCC1-1 nil 3506073909 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Trid_forall__TCC1 0
(Trid_forall__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Trid_forall__TCC2 0
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((/= const-decl "boolean" notequal nil )) nil ))
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((/= const-decl "boolean" notequal nil )) nil ))
(Trid_forall_ 0
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(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
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(rational_pred const-decl "[real -> boolean]" rationals nil )
(real nonempty-type-from-decl nil reals nil )
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(number_field_pred const-decl "[number -> boolean]" number_fields
nil )
(number nonempty-type-decl nil numbers nil )
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(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_minus_real_is_real application-judgement "real" reals nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil )
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(expt_x1 formula-decl nil exponentiation nil )
(expt def-decl "real" exponentiation nil )
(^ const-decl "real" exponentiation nil )
(odd_minus_odd_is_even application-judgement "even_int" integers
nil )
(even_minus_odd_is_odd application-judgement "odd_int" integers
nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
(product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" )
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(Trid_exists_ 0
(Trid_exists_-1 nil 3517578451 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
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(>= 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(list2array const-decl "T" array2list "structures/" )
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(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(> const-decl "bool" reals nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(MultiBernstein type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(Polynomial type-eq-decl nil util nil )
(Outcome type-decl nil Outcome_adt nil ))
shostak))
(AdaptiveLV_forall__TCC1 0
(AdaptiveLV_forall__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(AdaptiveLV_forall__TCC2 0
(AdaptiveLV_forall__TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(AdaptiveLV_forall__TCC3 0
(AdaptiveLV_forall__TCC3-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(AdaptiveLV_forall_ 0
(AdaptiveLV_forall_-1 nil 3517578451 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
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(rational_pred const-decl "[real -> boolean]" rationals nil )
(real nonempty-type-from-decl nil reals nil )
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(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 )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil )
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(expt_x1 formula-decl nil exponentiation nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(real_minus_real_is_real application-judgement "real" reals nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
(product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" )
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(AdaptiveLV_exists_ 0
(AdaptiveLV_exists_-1 nil 3517578451 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(gt_realorder name-judgement "RealOrder" util nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(> const-decl "bool" reals nil )
(list2array const-decl "T" array2list "structures/" )
(null adt-constructor-decl "(null?)" list_adt nil )
(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(MultiBernstein type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(Polynomial type-eq-decl nil util nil )
(Outcome type-decl nil Outcome_adt nil ))
shostak))
(Caprasse_forall__TCC1 0
(Caprasse_forall__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Caprasse_forall__TCC2 0
(Caprasse_forall__TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Caprasse_forall__TCC3 0
(Caprasse_forall__TCC3-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Caprasse_forall__TCC4 0
(Caprasse_forall__TCC4-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil ))
nil ))
(Caprasse_forall_ 0
(Caprasse_forall_-1 nil 3517578452 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
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(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_minus_real_is_real application-judgement "real" reals nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(minus_real_is_real application-judgement "real" reals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil )
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(expt_x1 formula-decl nil exponentiation nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
(product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" )
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(Caprasse_exists__TCC1 0
(Caprasse_exists__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Caprasse_exists__TCC2 0
(Caprasse_exists__TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Caprasse_exists_ 0
(Caprasse_exists_-1 nil 3517578452 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(gt_realorder name-judgement "RealOrder" util nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(> const-decl "bool" reals nil )
(list2array const-decl "T" array2list "structures/" )
(null adt-constructor-decl "(null?)" list_adt nil )
(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(MultiBernstein type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(Polynomial type-eq-decl nil util nil )
(Outcome type-decl nil Outcome_adt nil ))
shostak))
(Schwefel_TCC1 0
(Schwefel_TCC1-1 nil 3506074742 ("" (subtype-tcc) nil nil )
((^ const-decl "real" exponentiation nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil ))
nil ))
(Schwefel_forall__TCC1 0
(Schwefel_forall__TCC1-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Schwefel_forall__TCC2 0
(Schwefel_forall__TCC2-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Schwefel_forall__TCC3 0
(Schwefel_forall__TCC3-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Schwefel_forall__TCC4 0
(Schwefel_forall__TCC4-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((^ const-decl "real" exponentiation nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil ))
nil ))
(Schwefel_forall__TCC5 0
(Schwefel_forall__TCC5-1 nil 3517578450 ("" (subtype-tcc) nil nil )
((/= const-decl "boolean" notequal nil )) nil ))
(Schwefel_forall_ 0
(Schwefel_forall_-1 nil 3517578452 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil )
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(real_minus_real_is_real application-judgement "real" reals nil )
(expt_x1 formula-decl nil exponentiation nil )
(expt def-decl "real" exponentiation nil )
(^ const-decl "real" exponentiation nil )
(odd_minus_odd_is_even application-judgement "even_int" integers
nil )
(even_minus_odd_is_odd application-judgement "odd_int" integers
nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" )
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(Schwefel_exists_ 0
(Schwefel_exists_-1 nil 3517578452 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_even_is_even application-judgement "even_int" integers nil )
(minus_nzint_is_nzint application-judgement "nzint" integers nil )
(> const-decl "bool" reals nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(MPolyRel type-eq-decl nil strat_util nil )
(RealOrder type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(Coeff type-eq-decl nil util nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(gt_realorder name-judgement "RealOrder" util nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(list2array const-decl "T" array2list "structures/" )
(null adt-constructor-decl "(null?)" list_adt nil )
(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(MultiBernstein type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(Polynomial type-eq-decl nil util nil )
(Outcome type-decl nil Outcome_adt nil ))
shostak))
(ReactionDiffusion_forall_ 0
(ReactionDiffusion_forall_-1 nil 3517578452 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(ge_realorder name-judgement "RealOrder" util nil )
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(Coeff type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(RealOrder type-eq-decl nil util nil )
(MPolyRel type-eq-decl nil strat_util nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(/= const-decl "boolean" notequal nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(multipoly_strategy_true formula-decl nil strategy nil )
(real_minus_real_is_real application-judgement "real" reals nil )
(real_plus_real_is_real application-judgement "real" reals nil )
(minus_real_is_real application-judgement "real" reals nil )
(real_times_real_is_real application-judgement "real" reals nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(< const-decl "bool" reals nil )
(below type-eq-decl nil naturalnumbers nil )
(boxbetween? const-decl "bool" util nil )
(lt_realorder name-judgement "RealOrder" util nil )
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(interval_between? const-decl "bool" util nil )
(multipoly_eval const-decl "real" multi_polynomial nil )
(polyproduct_eval const-decl "real" multi_polynomial nil )
(polynomial const-decl "[real -> real]" polynomials "reals/" )
(expt_x1 formula-decl nil exponentiation nil )
(expt def-decl "real" exponentiation nil )
(^ const-decl "real" exponentiation nil )
(odd_minus_odd_is_even application-judgement "even_int" integers
nil )
(even_minus_odd_is_odd application-judgement "odd_int" integers
nil )
(le_realorder name-judgement "RealOrder" util nil )
(real_le_is_total_order name-judgement "(total_order?[real])"
real_props nil )
(minus_nzrat_is_nzrat application-judgement "nzrat" rationals nil )
(product def-decl "real" product "reals/" )
(sigma def-decl "real" sigma "reals/" )
(forall_X_poly_interval const-decl "bool" multi_polynomial nil )
(Outcome type-decl nil Outcome_adt nil )
(Polynomial type-eq-decl nil util nil )
(Polyproduct type-eq-decl nil util nil )
(MultiBernstein type-eq-decl nil util nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
(> const-decl "bool" reals nil )
(VarSelector type-eq-decl nil vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(istrue? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(IsTrue adt-constructor-decl "(istrue?)" Outcome_adt nil ))
shostak))
(ReactionDiffusion_exists_ 0
(ReactionDiffusion_exists_-1 nil 3517578452 ("" (bernstein) nil nil )
((FALSE const-decl "bool" booleans nil )
(TRUE const-decl "bool" booleans nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(IF const-decl "[boolean, T, T -> T]" if_def nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nat nonempty-type-eq-decl nil naturalnumbers 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 )
(number nonempty-type-decl nil numbers nil )
(= const-decl "[T, T -> boolean]" equalities nil )
(boolean nonempty-type-decl nil booleans nil )
(MVars type-eq-decl nil strat_util nil )
(Vars type-eq-decl nil util nil )
(posnat nonempty-type-eq-decl nil integers nil )
(IntervalEndpoints type-eq-decl nil util nil )
(minus_odd_is_odd application-judgement "odd_int" integers nil )
(> const-decl "bool" reals nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(AND const-decl "[bool, bool -> bool]" booleans nil )
(MPolyRel type-eq-decl nil strat_util nil )
(RealOrder type-eq-decl nil util nil )
(MultiPolynomial type-eq-decl nil util nil )
(DegreeMono type-eq-decl nil util nil )
(Coeff type-eq-decl nil util nil )
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil )
(gt_realorder name-judgement "RealOrder" util nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(list2array const-decl "T" array2list "structures/" )
(null adt-constructor-decl "(null?)" list_adt nil )
(null? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(cons adt-constructor-decl "[[T, list] -> (cons?)]" list_adt nil )
(Counterexample adt-constructor-decl "[(cons?) -> (isfalse?)]"
Outcome_adt nil )
(isfalse? adt-recognizer-decl "[Outcome -> boolean]" Outcome_adt
nil )
(cons? adt-recognizer-decl "[list -> boolean]" list_adt nil )
(PRED type-eq-decl nil defined_types nil )
(list type-decl nil list_adt nil )
(MaxVarMinDir const-decl "[bool, nat]" vardirselector nil )
(multipoly_strategy const-decl "Outcome" strategy nil )
(VarSelector type-eq-decl nil vardirselector nil )
(nonneg_int nonempty-type-eq-decl nil integers nil )
--> --------------------
--> maximum size reached
--> --------------------
quality 100%
¤ Dauer der Verarbeitung: 0.35 Sekunden
(vorverarbeitet)
¤
*© Formatika GbR, Deutschland
2026-03-28