(group_test
(integer_plus_TCC1 0
(integer_plus_TCC1-1 nil 3293317341
("" (expand "fullset" )
(("" (expand "abelian_group?" )
(("" (expand "group?" )
(("" (split)
(("1" (grind) nil nil )
("2" (expand "inv_exists?" )
(("2" (skosimp*)
(("2" (inst + "-x!1" ) (("2" (grind) nil nil )) nil )) nil ))
nil )
("3" (grind) nil nil ))
nil ))
nil ))
nil ))
nil )
((abelian_group? const-decl "bool" group_def nil )
(member const-decl "bool" sets nil )
(star_closed? const-decl "bool" groupoid_def nil )
(restrict const-decl "R" restrict nil )
(identity ? const-decl "bool" operator_defs nil )
(monad? const-decl "bool" monad_def nil )
(associative? const-decl "bool" operator_defs nil )
(monoid? const-decl "bool" monoid_def nil )
(int_plus_int_is_int application-judgement "int" integers nil )
(- const-decl "[numfield -> numfield]" number_fields nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(TRUE const-decl "bool" booleans 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 )
(minus_int_is_int application-judgement "int" integers nil )
(inv_exists? const-decl "bool" group_def nil )
(commutative? const-decl "bool" operator_defs nil )
(group? const-decl "bool" group_def nil )
(fullset const-decl "set" sets nil ))
shostak))
(nz_rational_mult_TCC1 0
(nz_rational_mult_TCC1-1 nil 3293317603
("" (expand "abelian_group?" )
(("" (expand "group?" )
(("" (split)
(("1" (grind) nil nil )
("2" (expand "inv_exists?" )
(("2" (skosimp*)
(("2" (typepred "x!1" )
(("2" (inst + "1/x!1" )
(("1" (assert ) nil nil ) ("2" (grind) nil nil )) nil ))
nil ))
nil ))
nil )
("3" (grind) nil nil ))
nil ))
nil ))
nil )
((group? const-decl "bool" group_def nil )
(commutative? const-decl "bool" operator_defs nil )
(inv_exists? const-decl "bool" group_def nil )
(set type-eq-decl nil sets nil )
(nzrat nonempty-type-eq-decl nil rationals 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 )
(/= const-decl "boolean" notequal nil )
(number nonempty-type-decl nil numbers nil )
(NOT const-decl "[bool -> bool]" booleans nil )
(bool nonempty-type-eq-decl nil booleans nil )
(boolean nonempty-type-decl nil booleans nil )
(x!1 skolem-const-decl "(fullset[nzrat])" group_test nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(nzrat_div_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(nzrat_times_nzrat_is_nzrat application-judgement "nzrat" rationals
nil )
(monoid? const-decl "bool" monoid_def nil )
(associative? const-decl "bool" operator_defs nil )
(monad? const-decl "bool" monad_def nil )
(identity ? const-decl "bool" operator_defs nil )
(restrict const-decl "R" restrict nil )
(star_closed? const-decl "bool" groupoid_def nil )
(member const-decl "bool" sets nil )
(fullset const-decl "set" sets nil )
(abelian_group? const-decl "bool" group_def nil ))
shostak))
(pos_rational_mult_TCC1 0
(pos_rational_mult_TCC1-1 nil 3293317482
("" (expand "abelian_group?" )
(("" (expand "group?" )
(("" (split)
(("1" (grind) nil nil )
("2" (expand "inv_exists?" )
(("2" (skosimp*)
(("2" (inst + "1/x!1" )
(("1" (grind) nil nil ) ("2" (grind) nil nil )) nil ))
nil ))
nil )
("3" (grind) nil nil ))
nil ))
nil ))
nil )
((group? const-decl "bool" group_def nil )
(commutative? const-decl "bool" operator_defs nil )
(inv_exists? const-decl "bool" group_def nil )
(posrat_div_posrat_is_posrat application-judgement "posrat"
rationals nil )
(x!1 skolem-const-decl "(fullset[posrat])" group_test nil )
(/ const-decl "[numfield, nznum -> numfield]" number_fields nil )
(nznum nonempty-type-eq-decl nil number_fields nil )
(/= const-decl "boolean" notequal nil )
(numfield nonempty-type-eq-decl nil number_fields nil )
(set type-eq-decl nil sets nil )
(posrat nonempty-type-eq-decl nil rationals nil )
(> const-decl "bool" reals nil )
(nonneg_rat nonempty-type-eq-decl nil rationals nil )
(>= const-decl "bool" reals nil )
(bool nonempty-type-eq-decl nil booleans 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 )
(posrat_times_posrat_is_posrat application-judgement "posrat"
rationals nil )
(monoid? const-decl "bool" monoid_def nil )
(associative? const-decl "bool" operator_defs nil )
(monad? const-decl "bool" monad_def nil )
(identity ? const-decl "bool" operator_defs nil )
(restrict const-decl "R" restrict nil )
(star_closed? const-decl "bool" groupoid_def nil )
(member const-decl "bool" sets nil )
(fullset const-decl "set" sets nil )
(abelian_group? const-decl "bool" group_def nil ))
shostak)))
quality 96%
¤ Dauer der Verarbeitung: 0.14 Sekunden
(vorverarbeitet)
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