(unification
(IMP_substitution_TCC1 0
(IMP_substitution_TCC1-1 nil 3463226130
("" (lemma "var_countable") (("" (propax) nil nil)) nil)
((var_countable formula-decl nil unification nil)) nil))
(mg_po 0
(mg_po-1 nil 3455279452
("" (expand "preorder?")
(("" (split)
(("1" (expand "reflexive?")
(("1" (skeep)
(("1" (expand "<=")
(("1" (inst 1 "identity")
(("1" (decompose-equality)
(("1" (expand "comp")
(("1" (rewrite "ext_iden") nil nil)) nil))
nil)
("2" (rewrite "iden_subs") nil nil))
nil))
nil))
nil))
nil)
("2" (expand "transitive?")
(("2" (skeep)
(("2" (expand "<=")
(("2" (skosimp*)
(("2" (inst 1 "comp(tau!2,tau!1)")
(("1" (replaces -1)
(("1" (replaces -1) (("1" (rewrite "o_ass") nil nil))
nil))
nil)
("2" (rewrite "subs_o") nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((identity const-decl "(bijective?[T, T])" identity nil)
(bijective? const-decl "bool" functions nil)
(Sub? const-decl "bool" substitution nil)
(V const-decl "set[term]" variables_term nil)
(set type-eq-decl nil sets nil) (term type-decl nil term_adt nil)
(arity formal-const-decl "[symbol -> nat]" unification 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(Sub type-eq-decl nil substitution nil)
(ext_iden formula-decl nil substitution nil)
(comp const-decl "term" substitution nil)
(iden_subs formula-decl nil substitution nil)
(<= const-decl "bool" unification nil)
(reflexive? const-decl "bool" relations nil)
(subs_o formula-decl nil substitution nil)
(o_ass formula-decl nil substitution nil)
(tau!2 skolem-const-decl "Sub[variable, symbol, arity]" unification
nil)
(tau!1 skolem-const-decl "Sub[variable, symbol, arity]" unification
nil)
(transitive? const-decl "bool" relations nil)
(preorder? const-decl "bool" orders nil))
shostak))
(uni_diff_equal_length_arg 0
(uni_diff_equal_length_arg-1 nil 3448191147
("" (skosimp*)
(("" (typepred t!1)
(("" (expand unifiable)
(("" (skeep -1)
(("" (expand unifier)
(("" (replace -2 -1)
(("" (replace -3 -1)
(("" (expand ext)
(("" (lift-if)
(("" (assert)
(("" (decompose-equality -1)
(("" (grind) nil nil)) nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((/= const-decl "boolean" notequal nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(unifiable const-decl "bool" unification nil)
(term type-decl nil term_adt nil)
(arity formal-const-decl "[symbol -> nat]" unification nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(>= const-decl "bool" reals 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)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(ext def-decl "term" substitution nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
nil)
(finseq type-eq-decl nil finite_sequences nil)
(Sub type-eq-decl nil substitution nil)
(Sub? const-decl "bool" substitution nil)
(V const-decl "set[term]" variables_term nil)
(set type-eq-decl nil sets nil) (< const-decl "bool" reals nil)
(app adt-constructor-decl
"[[f: symbol, {args: finite_sequence[term] | args`length = arity(f)}] ->
(app?)]" term_adt nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(IF const-decl "[boolean, T, T -> T]" if_def nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(unifier const-decl "bool" unification nil))
shostak))
(resolving_diff_TCC1 0
(resolving_diff_TCC1-1 nil 3447690997
("" (skosimp*)
(("" (lemma "positions_of_arg")
(("" (inst -1 "s!1" "k!1")
(("1" (typepred "k!1")
(("1" (lemma "uni_diff_equal_length_arg")
(("1" (inst -1 "s!1" "t!1" "f!1" "st!1")
(("1" (assert)
(("1" (inst -1 "fp!1" "stp!1")
(("1" (assert)
(("1" (flatten)
(("1" (replace -4 1) (("1" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (assert) nil nil))
nil))
nil))
nil)
((arity formal-const-decl "[symbol -> nat]" unification 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(positions_of_arg formula-decl nil positions nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(/= const-decl "boolean" notequal nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil)
(uni_diff_equal_length_arg formula-decl nil unification nil)
(fp!1 skolem-const-decl "symbol" unification nil)
(stp!1 skolem-const-decl
"{args: finite_sequence[term[variable, symbol, arity]] |
args`length = arity(fp!1)}" unification nil)
(k!1 skolem-const-decl "below[length(stp!1)]" unification nil)
(s!1 skolem-const-decl "term[variable, symbol, arity]" unification
nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(< const-decl "bool" reals nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(term type-decl nil term_adt nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(resolving_diff_TCC2 0
(resolving_diff_TCC2-1 nil 3447690997
("" (skosimp*)
(("" (lemma "positions_of_arg")
(("" (inst -1 "t!1" "k!1")
(("1" (typepred "k!1")
(("1" (replace -3 1) (("1" (assert) nil nil)) nil)) nil)
("2" (assert) nil nil))
nil))
nil))
nil)
((arity formal-const-decl "[symbol -> nat]" unification 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(positions_of_arg formula-decl nil positions nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(fp!1 skolem-const-decl "symbol" unification nil)
(stp!1 skolem-const-decl
"{args: finite_sequence[term[variable, symbol, arity]] |
args`length = arity(fp!1)}" unification nil)
(k!1 skolem-const-decl "below[length(stp!1)]" unification nil)
(s!1 skolem-const-decl "term[variable, symbol, arity]" unification
nil)
(t!1 skolem-const-decl "{t: term | unifiable(s!1, t) & s!1 /= t}"
unification nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(< const-decl "bool" reals nil)
(/= const-decl "boolean" notequal nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(term type-decl nil term_adt nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(resolving_diff_TCC3 0
(resolving_diff_TCC3-1 nil 3447690997
("" (skosimp*)
(("" (assert)
(("" (typepred "t!1")
(("" (expand "unifiable" -1)
(("" (skeep -1)
(("" (replace -2 -1)
(("" (replace -3 -1)
(("" (expand "unifier" -1)
(("" (decompose-equality -1)
(("" (assert)
(("" (prop)
(("1" (hide-all-but (-1 -2 -4 -5))
(("1" (expand "ext") (("1" (propax) nil nil))
nil))
nil)
("2" (expand "ext" -3)
(("2" (replace -3 (-2 -4 -6) rl)
(("2" (expand "ext" -4)
(("2"
(flatten)
(("2"
(decompose-equality -5)
(("2"
(inst -1 "k!1")
(("1"
(expand "unifiable")
(("1"
(inst 3 "sigma")
(("1" (grind) nil nil))
nil))
nil)
("2"
(expand "unifiable")
(("2"
(inst 4 "sigma")
(("2" (grind) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((nnint_plus_posint_is_posint application-judgement "posint"
integers nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(unifier const-decl "bool" unification nil)
(finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
nil)
(finseq type-eq-decl nil finite_sequences nil)
(< const-decl "bool" reals nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(nat_min application-judgement "{k: nat | k <= i AND k <= j}"
real_defs nil)
(int_min application-judgement "{k: int | k <= i AND k <= j}"
real_defs nil)
(int_minus_int_is_int application-judgement "int" integers 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 "finite_sequence[T]" set2seq "structures/")
(first const-decl "T" seq_extras "structures/")
(empty_seq const-decl "finseq" finite_sequences nil)
(^ const-decl "finseq" finite_sequences nil)
(rest const-decl "finseq" seq_extras "structures/")
(subtermOF def-decl "term" subterm nil)
(st!1 skolem-const-decl
"{args: finite_sequence[term[variable, symbol, arity]] |
args`length = arity(f!1)}" unification nil)
(f!1 skolem-const-decl "symbol" unification nil)
(k!1 skolem-const-decl "below[length(stp!1)]" unification nil)
(stp!1 skolem-const-decl
"{args: finite_sequence[term[variable, symbol, arity]] |
args`length = arity(fp!1)}" unification nil)
(fp!1 skolem-const-decl "symbol" unification nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(v adt-accessor-decl "[(vars?) -> variable]" term_adt nil)
(app adt-constructor-decl
"[[f: symbol, {args: finite_sequence[term] | args`length = arity(f)}] ->
(app?)]" term_adt nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(ext def-decl "term" substitution nil)
(Sub type-eq-decl nil substitution nil)
(Sub? const-decl "bool" substitution nil)
(V const-decl "set[term]" variables_term nil)
(set type-eq-decl nil sets nil)
(vars? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(OR const-decl "[bool, bool -> bool]" booleans nil)
(boolean nonempty-type-decl nil booleans nil)
(bool nonempty-type-eq-decl nil booleans nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(variable formal-nonempty-type-decl nil unification nil)
(symbol formal-nonempty-type-decl nil unification 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)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(arity formal-const-decl "[symbol -> nat]" unification nil)
(term type-decl nil term_adt nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(/= const-decl "boolean" notequal nil))
nil))
(resolving_diff_TCC4 0
(resolving_diff_TCC4-1 nil 3449937385
("" (skosimp*)
(("" (expand "<<")
(("" (lift-if)
(("" (prop)
(("1" (hide-all-but (-1 -2)) (("1" (assert) nil nil)) nil)
("2" (inst 2 k!1)
(("1" (assert) (("1" (grind) nil nil)) nil)
("2" (lemma "uni_diff_equal_length_arg")
(("2" (inst -1 "s!1" "t!1" "f!1" "st!1")
(("2" (assert)
(("2" (inst -1 "fp!1" "stp!1")
(("2" (assert)
(("2" (flatten)
(("2" (replace -3 1) (("2" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((<< adt-def-decl "(strict_well_founded?[term])" term_adt nil)
(uni_diff_equal_length_arg formula-decl nil unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(unifiable const-decl "bool" unification nil)
(/= const-decl "boolean" notequal nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(int_min application-judgement "{k: int | k <= i AND k <= j}"
real_defs nil)
(nat_min application-judgement "{k: nat | k <= i AND k <= j}"
real_defs nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(subterm adt-def-decl "boolean" term_adt nil)
(subtermOF def-decl "term" subterm nil)
(rest const-decl "finseq" seq_extras "structures/")
(^ const-decl "finseq" finite_sequences nil)
(empty_seq const-decl "finseq" finite_sequences nil)
(first const-decl "T" seq_extras "structures/")
(finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
nil)
(|#| const-decl "finite_sequence[T]" set2seq "structures/")
(nonneg_int nonempty-type-eq-decl nil integers nil)
(> const-decl "bool" reals nil)
(posnat nonempty-type-eq-decl nil integers nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers 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)
(bool nonempty-type-eq-decl nil booleans nil)
(< const-decl "bool" 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)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(below type-eq-decl nil nat_types nil)
(variable formal-nonempty-type-decl nil unification nil)
(symbol formal-nonempty-type-decl nil unification nil)
(arity formal-const-decl "[symbol -> nat]" unification nil)
(term type-decl nil term_adt nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(fp!1 skolem-const-decl "symbol" unification nil)
(stp!1 skolem-const-decl
"{args: finite_sequence[term[variable, symbol, arity]] |
args`length = arity(fp!1)}" unification nil)
(k!1 skolem-const-decl "below[length(stp!1)]" unification nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(s!1 skolem-const-decl "term[variable, symbol, arity]" unification
nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
shostak))
(resolving_diff_TCC5 0
(resolving_diff_TCC5-1 nil 3449937623
("" (skosimp*)
(("" (lemma "positions_of_arg")
(("" (inst -1 "s!1" "kk!1")
(("1" (typepred "kk!1")
(("1" (lemma "uni_diff_equal_length_arg")
(("1" (inst -1 "s!1" "t!1" "f!1" "st!1")
(("1" (assert)
(("1" (inst -1 "fp!1" "stp!1")
(("1" (assert)
(("1" (flatten)
(("1" (replace -4 1) (("1" (assert) nil nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2" (assert) nil nil))
nil))
nil))
nil)
((arity formal-const-decl "[symbol -> nat]" unification 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(positions_of_arg formula-decl nil positions nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(/= const-decl "boolean" notequal nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil)
(uni_diff_equal_length_arg formula-decl nil unification nil)
(fp!1 skolem-const-decl "symbol" unification nil)
(stp!1 skolem-const-decl
"{args: finite_sequence[term[variable, symbol, arity]] |
args`length = arity(fp!1)}" unification nil)
(kk!1 skolem-const-decl "below[length(stp!1)]" unification nil)
(s!1 skolem-const-decl "term[variable, symbol, arity]" unification
nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(< const-decl "bool" reals nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(term type-decl nil term_adt nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
shostak))
(resolving_diff_TCC6 0
(resolving_diff_TCC6-1 nil 3516387398
("" (skosimp*)
(("" (lemma "positions_of_arg")
(("" (inst -1 "t!1" "kk!1")
(("1" (typepred "kk!1")
(("1" (replace -3 1) (("1" (assert) nil nil)) nil)) nil)
("2" (assert) nil nil))
nil))
nil))
nil)
((arity formal-const-decl "[symbol -> nat]" unification 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(positions_of_arg formula-decl nil positions nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(fp!1 skolem-const-decl "symbol" unification nil)
(stp!1 skolem-const-decl
"{args: finite_sequence[term[variable, symbol, arity]] |
args`length = arity(fp!1)}" unification nil)
(kk!1 skolem-const-decl "below[length(stp!1)]" unification nil)
(s!1 skolem-const-decl "term[variable, symbol, arity]" unification
nil)
(t!1 skolem-const-decl "{t: term | unifiable(s!1, t) & s!1 /= t}"
unification nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(< const-decl "bool" reals nil)
(/= const-decl "boolean" notequal nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(term type-decl nil term_adt nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil))
nil))
(resolving_diff_TCC7 0
(resolving_diff_TCC7-1 nil 3516387398
("" (skosimp*)
(("" (lemma "uni_diff_equal_length_arg")
(("" (inst -1 "s!1" "t!1" "f!1" "st!1")
(("" (assert)
(("" (inst -1 "fp!1" "stp!1")
(("" (assert)
(("" (flatten)
(("" (replace -1 -4 rl)
(("" (hide -1)
(("" (typepred t!1)
(("" (hide -1)
(("" (case "st!1 = stp!1")
(("1" (hide +) (("1" (grind) nil nil)) nil)
("2" (decompose-equality 1)
(("2" (decompose-equality 1)
(("2"
(typepred x!1)
(("2"
(expand* "nonempty?" "empty?")
(("2"
(inst -6 "x!1")
(("2"
(expand "member")
(("2"
(replace -5 -6)
(("2"
(replace -4 -6)
(("2"
(assert)
(("2"
(expand subtermOF)
(("2"
(lift-if)
(("2"
(assert)
(("2"
(grind)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((uni_diff_equal_length_arg formula-decl nil unification nil)
(NOT const-decl "[bool -> bool]" booleans nil)
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(< const-decl "bool" reals nil) (empty? const-decl "bool" sets nil)
(nonempty? const-decl "bool" sets nil)
(member const-decl "bool" sets nil)
(subtermOF def-decl "term" subterm 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 "finite_sequence[T]" set2seq "structures/")
(finseq_appl const-decl "[below[length(fs)] -> T]" finite_sequences
nil)
(first const-decl "T" seq_extras "structures/")
(empty_seq const-decl "finseq" finite_sequences nil)
(^ const-decl "finseq" finite_sequences nil)
(rest const-decl "finseq" seq_extras "structures/")
(real_ge_is_total_order name-judgement "(total_order?[real])"
real_props nil)
(real_gt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(nat_min application-judgement "{k: nat | k <= i AND k <= j}"
real_defs nil)
(int_min application-judgement "{k: int | k <= i AND k <= j}"
real_defs nil)
(int_minus_int_is_int application-judgement "int" integers nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(finite_sequence type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(/= const-decl "boolean" notequal nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(term type-decl nil term_adt nil)
(arity formal-const-decl "[symbol -> nat]" unification 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)
(boolean nonempty-type-decl nil booleans nil)
(number nonempty-type-decl nil numbers nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil))
nil))
(resol_diff_nonempty_implies_funct_terms 0
(resol_diff_nonempty_implies_funct_terms-1 nil 3450707436
("" (skeep)
(("" (expand "resolving_diff")
(("" (lift-if)
(("" (prop) (("1" (assert) nil nil) ("2" (assert) nil nil))
nil))
nil))
nil))
nil)
((resolving_diff def-decl "position" unification nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil))
shostak))
(resol_diff_to_rest_resol_diff_TCC1 0
(resol_diff_to_rest_resol_diff_TCC1-1 nil 3451131001
("" (skeep)
(("" (lemma "empty_0[posnat]")
(("" (inst -1 "rd") (("" (assert) nil nil)) nil)) nil))
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)
(empty_0 formula-decl nil seq_extras "structures/")
(position type-eq-decl nil positions nil)
(arity formal-const-decl "[symbol -> nat]" unification nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(finseq type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil))
nil))
(resol_diff_to_rest_resol_diff_TCC2 0
(resol_diff_to_rest_resol_diff_TCC2-1 nil 3451131001
("" (skosimp)
(("" (expand "resolving_diff" -1)
(("" (lift-if)
(("" (prop)
(("" (assert)
(("" (replace -1 5)
(("" (rewrite "first_add")
(("1" (hide -1 4)
(("1" (lemma "resolving_diff_TCC1")
(("1" (inst -1 "s!1" "t!1" "f(s!1)" "args(s!1)")
(("1" (assert)
(("1" (case "s!1 = app( f(s!1), args(s!1))")
(("1" (assert)
(("1" (inst -2 "f(t!1)" "args(t!1)")
(("1"
(case "t!1 = app( f(t!1), args(t!1))")
(("1"
(assert)
(("1"
(inst
-3
"min({kk: below[length(args(t!1))] |
NOT subtermOF(s!1, #(1 + kk)) = subtermOF(t!1, #(1 + kk))})")
(("1"
(hide 5 2 3 4 5)
(("1"
(lemma "resolving_diff_TCC7")
(("1"
(inst
-1
"s!1"
"t!1"
"f(s!1)"
"args(s!1)")
(("1"
(assert)
(("1"
(inst
-1
"f(t!1)"
"args(t!1)")
(("1" (assert) nil nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide 2 3 4 5)
(("2"
(skosimp*)
(("2"
(lemma "positions_of_arg")
(("2"
(inst -1 "t!1" "kk!1")
(("2" (assert) nil nil))
nil))
nil))
nil))
nil)
("3"
(hide 2 3 4 5)
(("3"
(skosimp*)
(("3"
(lemma "positions_of_arg")
(("3"
(inst -1 "s!1" "kk!1")
(("1" (assert) nil nil)
("2"
(typepred "kk!1")
(("2"
(lemma
"uni_diff_equal_length_arg")
(("2"
(inst
-1
"s!1"
"t!1"
"f(s!1)"
"args(s!1)")
(("2"
(assert)
(("2"
(inst
-1
"f(t!1)"
"args(t!1)")
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but (1 2))
(("2" (decompose-equality) nil nil))
nil))
nil))
nil))
nil)
("2" (hide-all-but (1 4))
(("2" (decompose-equality) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
("2" (hide -1 5 6)
(("2" (lemma "resolving_diff_TCC7")
(("2" (inst -1 "s!1" "t!1" "f(s!1)" "args(s!1)")
(("2" (assert)
(("2" (case "s!1 = app( f(s!1), args(s!1))")
(("1" (assert)
(("1" (inst -2 "f(t!1)" "args(t!1)")
(("1"
(case "t!1 = app( f(t!1), args(t!1))")
(("1" (assert) nil nil)
("2"
(hide-all-but (1 3))
(("2" (decompose-equality) nil nil))
nil))
nil))
nil))
nil)
("2" (hide-all-but (1 5))
(("2" (decompose-equality) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
("3" (hide -1 5 6)
(("3" (skosimp*)
(("3" (lemma "positions_of_arg")
(("3" (inst -1 "t!1" "kk!1")
(("3" (assert) nil nil)) nil))
nil))
nil))
nil)
("4" (hide -1 5 6)
(("4" (skosimp*)
(("4" (lemma "positions_of_arg")
(("4" (inst -1 "s!1" "kk!1")
(("1" (assert) nil nil)
("2" (typepred "kk!1")
(("2" (lemma "uni_diff_equal_length_arg")
(("2"
(inst -1 "s!1" "t!1" "f(s!1)"
"args(s!1)")
(("2"
(assert)
(("2"
(case
"s!1 = app( f(s!1), args(s!1))")
(("1"
(assert)
(("1"
(inst -2 "f(t!1)" "args(t!1)")
(("1"
(assert)
(("1"
(hide-all-but (1 4))
(("1"
(decompose-equality)
nil
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but (1 6))
(("2"
(decompose-equality)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((resolving_diff def-decl "position" unification nil)
(kk!1 skolem-const-decl
"below[length(args[variable, symbol, arity](t!1))]" unification
nil)
(app adt-constructor-decl
"[[f: symbol, {args: finite_sequence[term] | args`length = arity(f)}] ->
(app?)]" term_adt nil)
(term_app_extensionality formula-decl nil term_adt nil)
(uni_diff_equal_length_arg formula-decl nil unification nil)
(kk!1 skolem-const-decl
"below[length(args[variable, symbol, arity](t!1))]" unification
nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(positions_of_arg formula-decl nil positions nil)
(resolving_diff_TCC7 subtype-tcc nil unification nil)
(t!1 skolem-const-decl "{t: term | unifiable(s!1, t) & s!1 /= t}"
unification nil)
(s!1 skolem-const-decl "term[variable, symbol, arity]" unification
nil)
(resolving_diff_TCC1 subtype-tcc nil unification 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)
(NOT const-decl "[bool -> bool]" booleans nil)
(min const-decl "{a | S(a) AND (FORALL x: S(x) IMPLIES a <= x)}"
min_nat nil)
(<= const-decl "bool" reals nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(nonempty? const-decl "bool" sets nil)
(set type-eq-decl nil sets nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(< const-decl "bool" reals nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(|#| const-decl "finite_sequence[T]" set2seq "structures/")
(finite_sequence type-eq-decl nil finite_sequences nil)
(subtermOF def-decl "term" subterm nil)
(positions? type-eq-decl nil positions nil)
(positionsOF def-decl "positions" positions nil)
(positions type-eq-decl nil positions nil)
(position type-eq-decl nil positions nil)
(/= const-decl "boolean" notequal nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(term type-decl nil term_adt nil)
(arity formal-const-decl "[symbol -> nat]" unification nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(finseq type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(first_add formula-decl nil seq_extras "structures/")
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil))
nil))
(resol_diff_to_rest_resol_diff_TCC3 0
(resol_diff_to_rest_resol_diff_TCC3-1 nil 3451131001
("" (skosimp)
(("" (expand "resolving_diff")
(("" (lift-if)
(("" (prop)
(("" (assert)
(("" (replace -1 5)
(("" (rewrite "first_add")
(("1" (hide -1 4)
(("1" (lemma "resolving_diff_TCC2")
(("1" (inst -1 "s!1" "t!1" "f(s!1)" "args(s!1)")
(("1" (assert)
(("1" (case "s!1 = app( f(s!1), args(s!1))")
(("1" (assert)
(("1" (inst -2 "f(t!1)" "args(t!1)")
(("1"
(case "t!1 = app( f(t!1), args(t!1))")
(("1"
(assert)
(("1"
(inst
-3
"min({kk: below[length(args(t!1))] |
NOT subtermOF(s!1, #(1 + kk)) = subtermOF(t!1, #(1 + kk))})")
(("1"
(hide 2 3 4 5)
(("1"
(lemma "resolving_diff_TCC7")
(("1"
(inst
-1
"s!1"
"t!1"
"f(s!1)"
"args(s!1)")
(("1"
(assert)
(("1"
(inst
-1
"f(t!1)"
"args(t!1)")
(("1" (assert) nil nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide 2 3 4 5)
(("2"
(skosimp*)
(("2"
(lemma "positions_of_arg")
(("2"
(inst -1 "t!1" "kk!1")
(("2" (assert) nil nil))
nil))
nil))
nil))
nil)
("3"
(hide 2 3 4 5)
(("3"
(skosimp*)
(("3"
(lemma "positions_of_arg")
(("3"
(inst -1 "s!1" "kk!1")
(("1" (assert) nil nil)
("2"
(typepred "kk!1")
(("2"
(lemma
"uni_diff_equal_length_arg")
(("2"
(inst
-1
"s!1"
"t!1"
"f(s!1)"
"args(s!1)")
(("2"
(assert)
(("2"
(inst
-1
"f(t!1)"
"args(t!1)")
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but (1 2))
(("2" (decompose-equality) nil nil))
nil))
nil))
nil))
nil)
("2" (hide-all-but (1 4))
(("2" (decompose-equality) nil nil)) nil))
nil))
nil))
nil))
nil))
nil)
("2" (hide -1 5 6)
(("2" (lemma "resolving_diff_TCC7")
(("2" (inst -1 "s!1" "t!1" "f(s!1)" "args(s!1)")
(("2" (case "s!1 = app( f(s!1), args(s!1))")
(("1" (assert)
(("1" (inst -2 "f(t!1)" "args(t!1)")
(("1"
(case "t!1 = app( f(t!1), args(t!1))")
(("1" (assert) nil nil)
("2"
(hide-all-but (1 3))
(("2" (decompose-equality) nil nil))
nil))
nil))
nil))
nil)
("2" (hide-all-but (1 5))
(("2" (decompose-equality) nil nil)) nil))
nil))
nil))
nil))
nil)
("3" (hide -1 5 6)
(("3" (skosimp*)
(("3" (lemma "positions_of_arg")
(("3" (inst -1 "t!1" "kk!1")
(("3" (assert) nil nil)) nil))
nil))
nil))
nil)
("4" (hide -1 5 6)
(("4" (skosimp*)
(("4" (lemma "positions_of_arg")
(("4" (inst -1 "s!1" "kk!1")
(("1" (assert) nil nil)
("2" (typepred "kk!1")
(("2" (lemma "uni_diff_equal_length_arg")
(("2"
(inst -1 "s!1" "t!1" "f(s!1)"
"args(s!1)")
(("2"
(assert)
(("2"
(case
"s!1 = app( f(s!1), args(s!1))")
(("1"
(assert)
(("1"
(inst -2 "f(t!1)" "args(t!1)")
(("1"
(assert)
(("1"
(hide-all-but (1 5))
(("1"
(decompose-equality)
nil
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but (1 6))
(("2"
(decompose-equality)
nil
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil))
nil)
((resolving_diff def-decl "position" unification nil)
(kk!1 skolem-const-decl
"below[length(args[variable, symbol, arity](t!1))]" unification
nil)
(app adt-constructor-decl
"[[f: symbol, {args: finite_sequence[term] | args`length = arity(f)}] ->
(app?)]" term_adt nil)
(term_app_extensionality formula-decl nil term_adt nil)
(uni_diff_equal_length_arg formula-decl nil unification nil)
(kk!1 skolem-const-decl
"below[length(args[variable, symbol, arity](t!1))]" unification
nil)
(real_lt_is_strict_total_order name-judgement
"(strict_total_order?[real])" real_props nil)
(positions_of_arg formula-decl nil positions nil)
(resolving_diff_TCC7 subtype-tcc nil unification nil)
(t!1 skolem-const-decl "{t: term | unifiable(s!1, t) & s!1 /= t}"
unification nil)
(s!1 skolem-const-decl "term[variable, symbol, arity]" unification
nil)
(resolving_diff_TCC2 subtype-tcc nil unification 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)
(NOT const-decl "[bool -> bool]" booleans nil)
(min const-decl "{a | S(a) AND (FORALL x: S(x) IMPLIES a <= x)}"
min_nat nil)
(<= const-decl "bool" reals nil)
(IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
(nonempty? const-decl "bool" sets nil)
(set type-eq-decl nil sets nil)
(args adt-accessor-decl
"[d: (app?) -> {args: finite_sequence[term] | args`length = arity(f(d))}]"
term_adt nil)
(f adt-accessor-decl "[(app?) -> symbol]" term_adt nil)
(= const-decl "[T, T -> boolean]" equalities nil)
(app? adt-recognizer-decl "[term -> boolean]" term_adt nil)
(< const-decl "bool" reals nil)
(+ const-decl "[numfield, numfield -> numfield]" number_fields nil)
(numfield nonempty-type-eq-decl nil number_fields nil)
(|#| const-decl "finite_sequence[T]" set2seq "structures/")
(finite_sequence type-eq-decl nil finite_sequences nil)
(subtermOF def-decl "term" subterm nil)
(positions? type-eq-decl nil positions nil)
(positionsOF def-decl "positions" positions nil)
(positions type-eq-decl nil positions nil)
(position type-eq-decl nil positions nil)
(/= const-decl "boolean" notequal nil)
(unifiable const-decl "bool" unification nil)
(AND const-decl "[bool, bool -> bool]" booleans nil)
(term type-decl nil term_adt nil)
(arity formal-const-decl "[symbol -> nat]" unification nil)
(symbol formal-nonempty-type-decl nil unification nil)
(variable formal-nonempty-type-decl nil unification nil)
(finseq type-eq-decl nil finite_sequences nil)
(below type-eq-decl nil nat_types nil)
(nat nonempty-type-eq-decl nil naturalnumbers nil)
(first_add formula-decl nil seq_extras "structures/")
(posint_plus_nnint_is_posint application-judgement "posint"
integers nil)
(nnint_plus_posint_is_posint application-judgement "posint"
integers nil))
nil))
(resol_diff_to_rest_resol_diff_TCC4 0
(resol_diff_to_rest_resol_diff_TCC4-1 nil 3451131001
("" (skosimp)
(("" (expand "resolving_diff")
(("" (lift-if)
(("" (hide 2)
(("" (prop)
(("" (reveal 1)
(("" (assert)
(("" (hide 5)
((""
(name-replace "k1"
"min({kk: below[length(args(t!1))]
| NOT subtermOF(s!1, #(1 + kk)) = subtermOF(t!1, #(1 + kk))})")
(("1" (name-replace "k" "1+k1")
(("1" (replace -1 1)
(("1" (hide -1)
(("1" (rewrite "first_add[posnat]")
(("1" (lemma "resolving_diff_TCC3")
(("1"
(inst
-1
"s!1"
"t!1"
"f(s!1)"
"args(s!1)")
(("1"
(case "s!1 = app(f(s!1), args(s!1))")
(("1"
(assert)
(("1"
(inst -2 "f(t!1)" "args(t!1)")
(("1"
(case
"t!1 = app(f(t!1), args(t!1))")
(("1"
(assert)
(("1"
(inst -3 "k - 1")
(("1"
(reveal -6)
(("1"
(reveal -5)
(("1"
(assert)
nil
nil))
nil))
nil)
("2"
(reveal -6)
(("2"
(reveal -5)
(("2"
(assert)
nil
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but (1 3))
(("2"
(decompose-equality)
nil
nil))
nil))
nil))
nil))
nil)
("2"
(hide-all-but (1 5))
(("2"
(decompose-equality)
nil
nil))
nil))
nil))
nil))
nil)
--> --------------------
--> maximum size reached
--> --------------------
¤ Dauer der Verarbeitung: 0.130 Sekunden
(vorverarbeitet)
¤
|
Haftungshinweis
Die Informationen auf dieser Webseite wurden
nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit,
noch Qualität der bereit gestellten Informationen zugesichert.
Bemerkung:
Die farbliche Syntaxdarstellung ist noch experimentell.
|