46844
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open TPTP_Syntax
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exception UNRECOGNISED_SYMBOL of string * string
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exception UNRECOGNISED_ROLE of string
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fun classify_role role =
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case role of
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"axiom" => Role_Axiom
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| "hypothesis" => Role_Hypothesis
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| "definition" => Role_Definition
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| "assumption" => Role_Assumption
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| "lemma" => Role_Lemma
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| "theorem" => Role_Theorem
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| "conjecture" => Role_Conjecture
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| "negated_conjecture" => Role_Negated_Conjecture
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| "plain" => Role_Plain
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| "fi_domain" => Role_Fi_Domain
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| "fi_functors" => Role_Fi_Functors
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| "fi_predicates" => Role_Fi_Predicates
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| "type" => Role_Type
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| "unknown" => Role_Unknown
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| thing => raise (UNRECOGNISED_ROLE thing)
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%%
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%name TPTP
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%term AMPERSAND | AT_SIGN | CARET | COLON | COMMA | EQUALS | EXCLAMATION
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| LET | ARROW | IF | IFF | IMPLIES | INCLUDE
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| LAMBDA | LBRKT | LPAREN | MAP_TO | MMINUS | NAND
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| NEQUALS | XOR | NOR | PERIOD | PPLUS | QUESTION | RBRKT | RPAREN
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| TILDE | TOK_FALSE | TOK_I | TOK_O | TOK_INT | TOK_REAL | TOK_RAT | TOK_TRUE
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| TOK_TYPE | VLINE | EOF | DTHF | DFOF | DCNF | DFOT | DTFF | REAL of string
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| RATIONAL of string | SIGNED_INTEGER of string | UNSIGNED_INTEGER of string
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| DOT_DECIMAL of string | SINGLE_QUOTED of string | UPPER_WORD of string
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| LOWER_WORD of string | COMMENT of string
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| DISTINCT_OBJECT of string
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| DUD | INDEF_CHOICE | DEFIN_CHOICE
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| OPERATOR_FORALL | OPERATOR_EXISTS
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| PLUS | TIMES | GENTZEN_ARROW | DEP_SUM | DEP_PROD
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| ATOMIC_DEFINED_WORD of string | ATOMIC_SYSTEM_WORD of string
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| SUBTYPE | LET_TERM
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| THF | TFF | FOF | CNF
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| ITE_F | ITE_T
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%nonterm
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annotations of annotation option
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| name of string
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| name_list of string list
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| formula_selection of string list
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| optional_info of general_term list
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| general_list of general_list | general_terms of general_term list
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| general_term of general_term
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| atomic_word of string
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| general_data of general_data | variable_ of string
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| number of number_kind * string | formula_data of general_data
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| integer of string
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| identifier of string
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| general_function of general_data | useful_info of general_list
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| file_name of string
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| functor_ of symbol
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| term of tptp_term
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| arguments of tptp_term list
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| defined_functor of symbol
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| system_functor of symbol
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| system_constant of symbol
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| system_term of symbol * tptp_term list
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| defined_constant of symbol
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| defined_plain_term of symbol * tptp_term list
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| defined_atomic_term of tptp_term
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| defined_atom of tptp_term
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| defined_term of tptp_term
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| constant of symbol
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| plain_term of symbol * tptp_term list
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| function_term of tptp_term
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| conditional_term of tptp_term
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| system_atomic_formula of tptp_formula
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| infix_equality of symbol
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| infix_inequality of symbol
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| defined_infix_pred of symbol
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| defined_infix_formula of tptp_formula
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| defined_prop of string
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| defined_pred of string
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| defined_plain_formula of tptp_formula
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| defined_atomic_formula of tptp_formula
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| plain_atomic_formula of tptp_formula
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| atomic_formula of tptp_formula
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| unary_connective of symbol
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| defined_type of tptp_base_type
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| system_type of string
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| assoc_connective of symbol
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| binary_connective of symbol
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| fol_quantifier of quantifier
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| thf_unary_connective of symbol
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| thf_pair_connective of symbol
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| thf_quantifier of quantifier
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| fol_infix_unary of tptp_formula
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| thf_conn_term of symbol
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| literal of tptp_formula
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| disjunction of tptp_formula
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| cnf_formula of tptp_formula
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| fof_tuple_list of tptp_formula list
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| fof_tuple of tptp_formula list
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| fof_sequent of tptp_formula
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| fof_unary_formula of tptp_formula
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| fof_variable_list of string list
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| fof_quantified_formula of tptp_formula
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| fof_unitary_formula of tptp_formula
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| fof_and_formula of tptp_formula
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| fof_or_formula of tptp_formula
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| fof_binary_assoc of tptp_formula
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| fof_binary_nonassoc of tptp_formula
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| fof_binary_formula of tptp_formula
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| fof_logic_formula of tptp_formula
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| fof_formula of tptp_formula
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| tff_tuple of tptp_formula list
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| tff_tuple_list of tptp_formula list
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| tff_sequent of tptp_formula
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| tff_conditional of tptp_formula
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| tff_defined_var of tptp_let
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| tff_let_list of tptp_let list
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| tptp_let of tptp_formula
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| tff_xprod_type of tptp_type
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| tff_mapping_type of tptp_type
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| tff_atomic_type of tptp_type
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| tff_unitary_type of tptp_type
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| tff_top_level_type of tptp_type
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| tff_untyped_atom of symbol * tptp_type option
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| tff_typed_atom of symbol * tptp_type option
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| tff_unary_formula of tptp_formula
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| tff_typed_variable of string * tptp_type option
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| tff_variable of string * tptp_type option
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| tff_variable_list of (string * tptp_type option) list
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| tff_quantified_formula of tptp_formula
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| tff_unitary_formula of tptp_formula
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| tff_and_formula of tptp_formula
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| tff_or_formula of tptp_formula
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| tff_binary_assoc of tptp_formula
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| tff_binary_nonassoc of tptp_formula
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| tff_binary_formula of tptp_formula
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| tff_logic_formula of tptp_formula
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| tff_formula of tptp_formula
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| thf_tuple of tptp_formula list
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| thf_tuple_list of tptp_formula list
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| thf_sequent of tptp_formula
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| thf_conditional of tptp_formula
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| thf_defined_var of tptp_let
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| thf_let_list of tptp_let list
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| thf_let of tptp_formula
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| thf_atom of tptp_formula
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| thf_union_type of tptp_type
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| thf_xprod_type of tptp_type
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| thf_mapping_type of tptp_type
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| thf_binary_type of tptp_type
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| thf_unitary_type of tptp_type
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| thf_top_level_type of tptp_type
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| thf_subtype of tptp_type
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| thf_typeable_formula of tptp_formula
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| thf_type_formula of tptp_formula * tptp_type
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| thf_unary_formula of tptp_formula
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| thf_typed_variable of string * tptp_type option
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| thf_variable of string * tptp_type option
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| thf_variable_list of (string * tptp_type option) list
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| thf_quantified_formula of tptp_formula
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| thf_unitary_formula of tptp_formula
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| thf_apply_formula of tptp_formula
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| thf_and_formula of tptp_formula
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| thf_or_formula of tptp_formula
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| thf_binary_tuple of tptp_formula
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| thf_binary_pair of tptp_formula
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| thf_binary_formula of tptp_formula
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| thf_logic_formula of tptp_formula
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| thf_formula of tptp_formula
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| formula_role of role
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| cnf_annotated of tptp_line
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| fof_annotated of tptp_line
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| tff_annotated of tptp_line
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| thf_annotated of tptp_line
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| annotated_formula of tptp_line
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| include_ of tptp_line
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| tptp_input of tptp_line
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| tptp_file of tptp_problem
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| tptp of tptp_problem
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%pos int
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%eop EOF
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%noshift EOF
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%arg (file_name) : string
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%nonassoc LET
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%nonassoc RPAREN
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%nonassoc DUD
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%right COMMA
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%left COLON
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%left AT_SIGN
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%nonassoc IFF XOR
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%right IMPLIES IF
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%nonassoc EQUALS NEQUALS
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%right VLINE NOR
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%left AMPERSAND NAND
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%right ARROW
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%left PLUS
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%left TIMES
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%right OPERATOR_FORALL OPERATOR_EXISTS
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%nonassoc EXCLAMATION QUESTION LAMBDA CARET
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%nonassoc TILDE
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%pure
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%start tptp
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%verbose
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%%
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(* Title: HOL/TPTP/TPTP_Parser/tptp.yacc
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Author: Nik Sultana, Cambridge University Computer Laboratory
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Parser for TPTP languages. Latest version of the language spec can
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be obtained from http://www.cs.miami.edu/~tptp/TPTP/SyntaxBNF.html
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*)
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annotations : COMMA general_term optional_info (( SOME (general_term, optional_info) ))
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| (( NONE ))
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optional_info : COMMA useful_info (( useful_info ))
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| (( [] ))
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useful_info : general_list (( general_list ))
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general_list : LBRKT general_terms RBRKT (( general_terms ))
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| LBRKT RBRKT (( [] ))
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general_terms : general_term COMMA general_terms (( general_term :: general_terms ))
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| general_term (( [general_term] ))
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general_term : general_data (( General_Data general_data ))
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| general_data COLON general_term (( General_Term (general_data, general_term) ))
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| general_list (( General_List general_list ))
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atomic_word : LOWER_WORD (( LOWER_WORD ))
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| SINGLE_QUOTED (( SINGLE_QUOTED ))
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| THF (( "thf" ))
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| TFF (( "tff" ))
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| FOF (( "fof" ))
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| CNF (( "cnf" ))
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| INCLUDE (( "include" ))
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variable_ : UPPER_WORD (( UPPER_WORD ))
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general_function: atomic_word LPAREN general_terms RPAREN (( Application (atomic_word, general_terms) ))
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general_data : atomic_word (( Atomic_Word atomic_word ))
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| general_function (( general_function ))
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| variable_ (( V variable_ ))
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| number (( Number number ))
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| DISTINCT_OBJECT (( Distinct_Object DISTINCT_OBJECT ))
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| formula_data (( formula_data ))
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number : integer (( (Int_num, integer) ))
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| REAL (( (Real_num, REAL) ))
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| RATIONAL (( (Rat_num, RATIONAL) ))
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integer: UNSIGNED_INTEGER (( UNSIGNED_INTEGER ))
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| SIGNED_INTEGER (( SIGNED_INTEGER ))
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file_name : SINGLE_QUOTED (( SINGLE_QUOTED ))
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formula_data : DTHF LPAREN thf_formula RPAREN (( Formula_Data (THF, thf_formula) ))
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| DTFF LPAREN tff_formula RPAREN (( Formula_Data (TFF, tff_formula) ))
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| DFOF LPAREN fof_formula RPAREN (( Formula_Data (FOF, fof_formula) ))
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| DCNF LPAREN cnf_formula RPAREN (( Formula_Data (CNF, cnf_formula) ))
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| DFOT LPAREN term RPAREN (( Term_Data term ))
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system_type : ATOMIC_SYSTEM_WORD (( ATOMIC_SYSTEM_WORD ))
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defined_type : ATOMIC_DEFINED_WORD ((
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case ATOMIC_DEFINED_WORD of
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"$i" => Type_Ind
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| "$o" => Type_Bool
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| "$iType" => Type_Ind
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| "$oType" => Type_Bool
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| "$int" => Type_Int
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| "$real" => Type_Real
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| "$rat" => Type_Rat
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| "$tType" => Type_Type
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| thing => raise UNRECOGNISED_SYMBOL ("defined_type", thing)
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))
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functor_ : atomic_word (( Uninterpreted atomic_word ))
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arguments : term (( [term] ))
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| term COMMA arguments (( term :: arguments ))
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system_functor : ATOMIC_SYSTEM_WORD (( System ATOMIC_SYSTEM_WORD ))
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system_constant : system_functor (( system_functor ))
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system_term : system_constant (( (system_constant, []) ))
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| system_functor LPAREN arguments RPAREN (( (system_functor, arguments) ))
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defined_functor : ATOMIC_DEFINED_WORD ((
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case ATOMIC_DEFINED_WORD of
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"$sum" => Interpreted_ExtraLogic Sum
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| "$difference" => Interpreted_ExtraLogic Difference
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| "$product" => Interpreted_ExtraLogic Product
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| "$quotient" => Interpreted_ExtraLogic Quotient
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| "$quotient_e" => Interpreted_ExtraLogic Quotient_E
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| "$quotient_t" => Interpreted_ExtraLogic Quotient_T
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| "$quotient_f" => Interpreted_ExtraLogic Quotient_F
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| "$remainder_e" => Interpreted_ExtraLogic Remainder_E
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| "$remainder_t" => Interpreted_ExtraLogic Remainder_T
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| "$remainder_f" => Interpreted_ExtraLogic Remainder_F
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| "$floor" => Interpreted_ExtraLogic Floor
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| "$ceiling" => Interpreted_ExtraLogic Ceiling
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| "$truncate" => Interpreted_ExtraLogic Truncate
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| "$round" => Interpreted_ExtraLogic Round
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| "$to_int" => Interpreted_ExtraLogic To_Int
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| "$to_rat" => Interpreted_ExtraLogic To_Rat
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| "$to_real" => Interpreted_ExtraLogic To_Real
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| "$uminus" => Interpreted_ExtraLogic UMinus
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| "$i" => TypeSymbol Type_Ind
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| "$o" => TypeSymbol Type_Bool
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| "$iType" => TypeSymbol Type_Ind
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| "$oType" => TypeSymbol Type_Bool
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| "$int" => TypeSymbol Type_Int
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| "$real" => TypeSymbol Type_Real
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| "$rat" => TypeSymbol Type_Rat
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| "$tType" => TypeSymbol Type_Type
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| "$true" => Interpreted_Logic True
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| "$false" => Interpreted_Logic False
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| "$less" => Interpreted_ExtraLogic Less
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| "$lesseq" => Interpreted_ExtraLogic LessEq
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| "$greatereq" => Interpreted_ExtraLogic GreaterEq
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| "$greater" => Interpreted_ExtraLogic Greater
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| "$evaleq" => Interpreted_ExtraLogic EvalEq
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| "$is_int" => Interpreted_ExtraLogic Is_Int
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| "$is_rat" => Interpreted_ExtraLogic Is_Rat
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| thing => raise UNRECOGNISED_SYMBOL ("defined_functor", thing)
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))
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defined_constant : defined_functor (( defined_functor ))
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defined_plain_term : defined_constant (( (defined_constant, []) ))
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| defined_functor LPAREN arguments RPAREN (( (defined_functor, arguments) ))
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defined_atomic_term : defined_plain_term (( Term_Func defined_plain_term ))
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defined_atom : number (( Term_Num number ))
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| DISTINCT_OBJECT (( Term_Distinct_Object DISTINCT_OBJECT ))
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defined_term : defined_atom (( defined_atom ))
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| defined_atomic_term (( defined_atomic_term ))
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constant : functor_ (( functor_ ))
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plain_term : constant (( (constant, []) ))
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| functor_ LPAREN arguments RPAREN (( (functor_, arguments) ))
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function_term : plain_term (( Term_Func plain_term ))
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| defined_term (( defined_term ))
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| system_term (( Term_Func system_term ))
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361 |
conditional_term : ITE_T LPAREN tff_logic_formula COMMA term COMMA term RPAREN ((
|
|
362 |
Term_Conditional (tff_logic_formula, term1, term2)
|
|
363 |
))
|
|
364 |
|
|
365 |
term : function_term (( function_term ))
|
|
366 |
| variable_ (( Term_Var variable_ ))
|
|
367 |
| conditional_term (( conditional_term ))
|
|
368 |
|
|
369 |
system_atomic_formula : system_term (( Pred system_term ))
|
|
370 |
infix_equality : EQUALS (( Interpreted_Logic Equals ))
|
|
371 |
infix_inequality : NEQUALS (( Interpreted_Logic NEquals ))
|
|
372 |
defined_infix_pred : infix_equality (( infix_equality ))
|
|
373 |
defined_infix_formula : term defined_infix_pred term ((Pred (defined_infix_pred, [term1, term2])))
|
|
374 |
defined_prop : ATOMIC_DEFINED_WORD ((
|
|
375 |
case ATOMIC_DEFINED_WORD of
|
|
376 |
"$true" => "$true"
|
|
377 |
| "$false" => "$false"
|
|
378 |
| thing => raise UNRECOGNISED_SYMBOL ("defined_prop", thing)
|
|
379 |
))
|
|
380 |
defined_pred : ATOMIC_DEFINED_WORD ((
|
|
381 |
case ATOMIC_DEFINED_WORD of
|
|
382 |
"$distinct" => "$distinct"
|
|
383 |
| "$ite_f" => "$ite_f"
|
|
384 |
| "$less" => "$less"
|
|
385 |
| "$lesseq" => "$lesseq"
|
|
386 |
| "$greater" => "$greater"
|
|
387 |
| "$greatereq" => "$greatereq"
|
|
388 |
| "$is_int" => "$is_int"
|
|
389 |
| "$is_rat" => "$is_rat"
|
|
390 |
| thing => raise UNRECOGNISED_SYMBOL ("defined_pred", thing)
|
|
391 |
))
|
|
392 |
defined_plain_formula : defined_plain_term (( Pred defined_plain_term ))
|
|
393 |
defined_atomic_formula : defined_plain_formula (( defined_plain_formula ))
|
|
394 |
| defined_infix_formula (( defined_infix_formula ))
|
|
395 |
plain_atomic_formula : plain_term (( Pred plain_term ))
|
|
396 |
atomic_formula : plain_atomic_formula (( plain_atomic_formula ))
|
|
397 |
| defined_atomic_formula (( defined_atomic_formula ))
|
|
398 |
| system_atomic_formula (( system_atomic_formula ))
|
|
399 |
|
|
400 |
assoc_connective : VLINE (( Interpreted_Logic Or ))
|
|
401 |
| AMPERSAND (( Interpreted_Logic And ))
|
|
402 |
binary_connective : IFF (( Interpreted_Logic Iff ))
|
|
403 |
| IMPLIES (( Interpreted_Logic If ))
|
|
404 |
| IF (( Interpreted_Logic Fi ))
|
|
405 |
| XOR (( Interpreted_Logic Xor ))
|
|
406 |
| NOR (( Interpreted_Logic Nor ))
|
|
407 |
| NAND (( Interpreted_Logic Nand ))
|
|
408 |
|
|
409 |
fol_quantifier : EXCLAMATION (( Forall ))
|
|
410 |
| QUESTION (( Exists ))
|
|
411 |
thf_unary_connective : unary_connective (( unary_connective ))
|
|
412 |
| OPERATOR_FORALL (( Interpreted_Logic Op_Forall ))
|
|
413 |
| OPERATOR_EXISTS (( Interpreted_Logic Op_Exists ))
|
|
414 |
thf_pair_connective : infix_equality (( infix_equality ))
|
|
415 |
| infix_inequality (( infix_inequality ))
|
|
416 |
| binary_connective (( binary_connective ))
|
|
417 |
thf_quantifier : fol_quantifier (( fol_quantifier ))
|
|
418 |
| CARET (( Lambda ))
|
|
419 |
| DEP_PROD (( Dep_Prod ))
|
|
420 |
| DEP_SUM (( Dep_Sum ))
|
|
421 |
| INDEF_CHOICE (( Epsilon ))
|
|
422 |
| DEFIN_CHOICE (( Iota ))
|
|
423 |
fol_infix_unary : term infix_inequality term (( Pred (infix_inequality, [term1, term2]) ))
|
|
424 |
thf_conn_term : thf_pair_connective (( thf_pair_connective ))
|
|
425 |
| assoc_connective (( assoc_connective ))
|
|
426 |
| thf_unary_connective (( thf_unary_connective ))
|
|
427 |
literal : atomic_formula (( atomic_formula ))
|
|
428 |
| TILDE atomic_formula (( Fmla (Interpreted_Logic Not, [atomic_formula]) ))
|
|
429 |
| fol_infix_unary (( fol_infix_unary ))
|
|
430 |
disjunction : literal (( literal ))
|
|
431 |
| disjunction VLINE literal (( Fmla (Interpreted_Logic Or, [disjunction, literal]) ))
|
|
432 |
cnf_formula : LPAREN disjunction RPAREN (( disjunction ))
|
|
433 |
| disjunction (( disjunction ))
|
|
434 |
fof_tuple_list : fof_logic_formula (( [fof_logic_formula] ))
|
|
435 |
| fof_logic_formula COMMA fof_tuple_list (( fof_logic_formula :: fof_tuple_list ))
|
|
436 |
fof_tuple : LBRKT RBRKT (( [] ))
|
|
437 |
| LBRKT fof_tuple_list RBRKT (( fof_tuple_list ))
|
|
438 |
fof_sequent : fof_tuple GENTZEN_ARROW fof_tuple (( Sequent (fof_tuple1, fof_tuple2) ))
|
|
439 |
| LPAREN fof_sequent RPAREN (( fof_sequent ))
|
|
440 |
unary_connective : TILDE (( Interpreted_Logic Not ))
|
|
441 |
fof_unary_formula : unary_connective fof_unitary_formula (( Fmla (unary_connective, [fof_unitary_formula]) ))
|
|
442 |
| fol_infix_unary (( fol_infix_unary ))
|
|
443 |
fof_variable_list : variable_ (( [variable_] ))
|
|
444 |
| variable_ COMMA fof_variable_list (( variable_ :: fof_variable_list ))
|
|
445 |
fof_quantified_formula : fol_quantifier LBRKT fof_variable_list RBRKT COLON fof_unitary_formula ((
|
|
446 |
Quant (fol_quantifier, map (fn v => (v, NONE)) fof_variable_list, fof_unitary_formula)
|
|
447 |
))
|
|
448 |
fof_unitary_formula : fof_quantified_formula (( fof_quantified_formula ))
|
|
449 |
| fof_unary_formula (( fof_unary_formula ))
|
|
450 |
| atomic_formula (( atomic_formula ))
|
|
451 |
| LPAREN fof_logic_formula RPAREN (( fof_logic_formula ))
|
|
452 |
fof_and_formula : fof_unitary_formula AMPERSAND fof_unitary_formula (( Fmla (Interpreted_Logic And, [fof_unitary_formula1, fof_unitary_formula2]) ))
|
|
453 |
| fof_and_formula AMPERSAND fof_unitary_formula (( Fmla (Interpreted_Logic And, [fof_and_formula, fof_unitary_formula]) ))
|
|
454 |
fof_or_formula : fof_unitary_formula VLINE fof_unitary_formula (( Fmla (Interpreted_Logic Or, [fof_unitary_formula1, fof_unitary_formula2]) ))
|
|
455 |
| fof_or_formula VLINE fof_unitary_formula (( Fmla (Interpreted_Logic Or, [fof_or_formula, fof_unitary_formula]) ))
|
|
456 |
fof_binary_assoc : fof_or_formula (( fof_or_formula ))
|
|
457 |
| fof_and_formula (( fof_and_formula ))
|
|
458 |
fof_binary_nonassoc : fof_unitary_formula binary_connective fof_unitary_formula ((
|
|
459 |
Fmla (binary_connective, [fof_unitary_formula1, fof_unitary_formula2] )
|
|
460 |
))
|
|
461 |
fof_binary_formula : fof_binary_nonassoc (( fof_binary_nonassoc ))
|
|
462 |
| fof_binary_assoc (( fof_binary_assoc ))
|
|
463 |
fof_logic_formula : fof_binary_formula (( fof_binary_formula ))
|
|
464 |
| fof_unitary_formula (( fof_unitary_formula ))
|
|
465 |
fof_formula : fof_logic_formula (( fof_logic_formula ))
|
|
466 |
| fof_sequent (( fof_sequent ))
|
|
467 |
|
|
468 |
|
|
469 |
tff_tuple : LBRKT RBRKT (( [] ))
|
|
470 |
| LBRKT tff_tuple_list RBRKT (( tff_tuple_list ))
|
|
471 |
tff_tuple_list : tff_logic_formula COMMA tff_tuple_list (( tff_logic_formula :: tff_tuple_list ))
|
|
472 |
| tff_logic_formula (( [tff_logic_formula] ))
|
|
473 |
tff_sequent : tff_tuple GENTZEN_ARROW tff_tuple (( Sequent (tff_tuple1, tff_tuple2) ))
|
|
474 |
| LPAREN tff_sequent RPAREN (( tff_sequent ))
|
|
475 |
tff_conditional : ITE_F LPAREN tff_logic_formula COMMA tff_logic_formula COMMA tff_logic_formula RPAREN ((
|
|
476 |
Conditional (tff_logic_formula1, tff_logic_formula2, tff_logic_formula3)
|
|
477 |
))
|
|
478 |
tff_defined_var : variable_ LET tff_logic_formula (( Let_fmla ((variable_, NONE), tff_logic_formula) ))
|
|
479 |
| variable_ LET_TERM term (( Let_term ((variable_, NONE), term) ))
|
|
480 |
| LPAREN tff_defined_var RPAREN (( tff_defined_var ))
|
|
481 |
tff_let_list : tff_defined_var (( [tff_defined_var] ))
|
|
482 |
| tff_defined_var COMMA tff_let_list (( tff_defined_var :: tff_let_list ))
|
|
483 |
tptp_let : LET LBRKT tff_let_list RBRKT COLON tff_unitary_formula ((
|
|
484 |
Let (tff_let_list, tff_unitary_formula)
|
|
485 |
))
|
|
486 |
tff_xprod_type : tff_atomic_type TIMES tff_atomic_type (( Prod_type(tff_atomic_type1, tff_atomic_type2) ))
|
|
487 |
| tff_xprod_type TIMES tff_atomic_type (( Prod_type(tff_xprod_type, tff_atomic_type) ))
|
|
488 |
| LPAREN tff_xprod_type RPAREN (( tff_xprod_type ))
|
|
489 |
tff_mapping_type : tff_unitary_type ARROW tff_atomic_type (( Fn_type(tff_unitary_type, tff_atomic_type) ))
|
|
490 |
| LPAREN tff_mapping_type RPAREN (( tff_mapping_type ))
|
|
491 |
tff_atomic_type : atomic_word (( Atom_type atomic_word ))
|
|
492 |
| defined_type (( Defined_type defined_type ))
|
|
493 |
tff_unitary_type : tff_atomic_type (( tff_atomic_type ))
|
|
494 |
| LPAREN tff_xprod_type RPAREN (( tff_xprod_type ))
|
|
495 |
tff_top_level_type : tff_atomic_type (( tff_atomic_type ))
|
|
496 |
| tff_mapping_type (( tff_mapping_type ))
|
|
497 |
tff_untyped_atom : functor_ (( (functor_, NONE) ))
|
|
498 |
| system_functor (( (system_functor, NONE) ))
|
|
499 |
tff_typed_atom : tff_untyped_atom COLON tff_top_level_type (( (fst tff_untyped_atom, SOME tff_top_level_type) ))
|
|
500 |
| LPAREN tff_typed_atom RPAREN (( tff_typed_atom ))
|
|
501 |
|
|
502 |
tff_unary_formula : unary_connective tff_unitary_formula (( Fmla (unary_connective, [tff_unitary_formula]) ))
|
|
503 |
| fol_infix_unary (( fol_infix_unary ))
|
|
504 |
tff_typed_variable : variable_ COLON tff_atomic_type (( (variable_, SOME tff_atomic_type) ))
|
|
505 |
tff_variable : tff_typed_variable (( tff_typed_variable ))
|
|
506 |
| variable_ (( (variable_, NONE) ))
|
|
507 |
tff_variable_list : tff_variable (( [tff_variable] ))
|
|
508 |
| tff_variable COMMA tff_variable_list (( tff_variable :: tff_variable_list ))
|
|
509 |
tff_quantified_formula : fol_quantifier LBRKT tff_variable_list RBRKT COLON tff_unitary_formula ((
|
|
510 |
Quant (fol_quantifier, tff_variable_list, tff_unitary_formula)
|
|
511 |
))
|
|
512 |
tff_unitary_formula : tff_quantified_formula (( tff_quantified_formula ))
|
|
513 |
| tff_unary_formula (( tff_unary_formula ))
|
|
514 |
| atomic_formula (( atomic_formula ))
|
|
515 |
| tptp_let (( tptp_let ))
|
|
516 |
| variable_ (( Pred (Uninterpreted variable_, []) ))
|
|
517 |
| tff_conditional (( tff_conditional ))
|
|
518 |
| LPAREN tff_logic_formula RPAREN (( tff_logic_formula ))
|
|
519 |
tff_and_formula : tff_unitary_formula AMPERSAND tff_unitary_formula (( Fmla (Interpreted_Logic And, [tff_unitary_formula1, tff_unitary_formula2]) ))
|
|
520 |
| tff_and_formula AMPERSAND tff_unitary_formula (( Fmla (Interpreted_Logic And, [tff_and_formula, tff_unitary_formula]) ))
|
|
521 |
tff_or_formula : tff_unitary_formula VLINE tff_unitary_formula (( Fmla (Interpreted_Logic Or, [tff_unitary_formula1, tff_unitary_formula2]) ))
|
|
522 |
| tff_or_formula VLINE tff_unitary_formula (( Fmla (Interpreted_Logic Or, [tff_or_formula, tff_unitary_formula]) ))
|
|
523 |
tff_binary_assoc : tff_or_formula (( tff_or_formula ))
|
|
524 |
| tff_and_formula (( tff_and_formula ))
|
|
525 |
tff_binary_nonassoc : tff_unitary_formula binary_connective tff_unitary_formula (( Fmla (binary_connective, [tff_unitary_formula1, tff_unitary_formula2]) ))
|
|
526 |
tff_binary_formula : tff_binary_nonassoc (( tff_binary_nonassoc ))
|
|
527 |
| tff_binary_assoc (( tff_binary_assoc ))
|
|
528 |
tff_logic_formula : tff_binary_formula (( tff_binary_formula ))
|
|
529 |
| tff_unitary_formula (( tff_unitary_formula ))
|
|
530 |
tff_formula : tff_logic_formula (( tff_logic_formula ))
|
|
531 |
| tff_typed_atom (( Atom (TFF_Typed_Atom tff_typed_atom) ))
|
|
532 |
| tff_sequent (( tff_sequent ))
|
|
533 |
|
|
534 |
thf_tuple : LBRKT RBRKT (( [] ))
|
|
535 |
| LBRKT thf_tuple_list RBRKT (( thf_tuple_list ))
|
|
536 |
thf_tuple_list : thf_logic_formula (( [thf_logic_formula] ))
|
|
537 |
| thf_logic_formula COMMA thf_tuple_list (( thf_logic_formula :: thf_tuple_list ))
|
|
538 |
thf_sequent : thf_tuple GENTZEN_ARROW thf_tuple (( Sequent(thf_tuple1, thf_tuple2) ))
|
|
539 |
| LPAREN thf_sequent RPAREN (( thf_sequent ))
|
|
540 |
thf_conditional : ITE_F LPAREN thf_logic_formula COMMA thf_logic_formula COMMA thf_logic_formula RPAREN ((
|
|
541 |
Conditional (thf_logic_formula1, thf_logic_formula2, thf_logic_formula3)
|
|
542 |
))
|
|
543 |
thf_defined_var : thf_variable LET thf_logic_formula (( Let_fmla (thf_variable, thf_logic_formula) ))
|
|
544 |
| LPAREN thf_defined_var RPAREN (( thf_defined_var ))
|
|
545 |
thf_let_list : thf_defined_var (( [thf_defined_var] ))
|
|
546 |
| thf_defined_var COMMA thf_let_list (( thf_defined_var :: thf_let_list ))
|
|
547 |
thf_let : LET LBRKT thf_let_list RBRKT COLON thf_unitary_formula ((
|
|
548 |
Let (thf_let_list, thf_unitary_formula)
|
|
549 |
))
|
|
550 |
thf_atom : term (( Atom (THF_Atom_term term) ))
|
|
551 |
| thf_conn_term (( Atom (THF_Atom_conn_term thf_conn_term) ))
|
|
552 |
thf_union_type : thf_unitary_type PLUS thf_unitary_type (( Sum_type(thf_unitary_type1, thf_unitary_type2) ))
|
|
553 |
| thf_union_type PLUS thf_unitary_type (( Sum_type(thf_union_type, thf_unitary_type) ))
|
|
554 |
thf_xprod_type : thf_unitary_type TIMES thf_unitary_type (( Prod_type(thf_unitary_type1, thf_unitary_type2) ))
|
|
555 |
| thf_xprod_type TIMES thf_unitary_type (( Prod_type(thf_xprod_type, thf_unitary_type) ))
|
|
556 |
thf_mapping_type : thf_unitary_type ARROW thf_unitary_type (( Fn_type(thf_unitary_type1, thf_unitary_type2) ))
|
|
557 |
| thf_unitary_type ARROW thf_mapping_type (( Fn_type(thf_unitary_type, thf_mapping_type) ))
|
|
558 |
thf_binary_type : thf_mapping_type (( thf_mapping_type ))
|
|
559 |
| thf_xprod_type (( thf_xprod_type ))
|
|
560 |
| thf_union_type (( thf_union_type ))
|
|
561 |
thf_unitary_type : thf_unitary_formula (( Fmla_type thf_unitary_formula ))
|
|
562 |
thf_top_level_type : thf_logic_formula (( Fmla_type thf_logic_formula ))
|
|
563 |
thf_subtype : constant SUBTYPE constant (( Subtype(constant1, constant2) ))
|
|
564 |
thf_typeable_formula : thf_atom (( thf_atom ))
|
|
565 |
| LPAREN thf_logic_formula RPAREN (( thf_logic_formula ))
|
|
566 |
thf_type_formula : thf_typeable_formula COLON thf_top_level_type (( (thf_typeable_formula, thf_top_level_type) ))
|
|
567 |
thf_unary_formula : thf_unary_connective LPAREN thf_logic_formula RPAREN ((
|
|
568 |
Fmla (thf_unary_connective, [thf_logic_formula])
|
|
569 |
))
|
|
570 |
thf_typed_variable : variable_ COLON thf_top_level_type (( (variable_, SOME thf_top_level_type) ))
|
|
571 |
thf_variable : thf_typed_variable (( thf_typed_variable ))
|
|
572 |
| variable_ (( (variable_, NONE) ))
|
|
573 |
thf_variable_list : thf_variable (( [thf_variable] ))
|
|
574 |
| thf_variable COMMA thf_variable_list (( thf_variable :: thf_variable_list ))
|
|
575 |
thf_quantified_formula : thf_quantifier LBRKT thf_variable_list RBRKT COLON thf_unitary_formula ((
|
|
576 |
Quant (thf_quantifier, thf_variable_list, thf_unitary_formula)
|
|
577 |
))
|
|
578 |
thf_unitary_formula : thf_quantified_formula (( thf_quantified_formula ))
|
|
579 |
| thf_unary_formula (( thf_unary_formula ))
|
|
580 |
| thf_atom (( thf_atom ))
|
|
581 |
| thf_let (( thf_let ))
|
|
582 |
| thf_conditional (( thf_conditional ))
|
|
583 |
| LPAREN thf_logic_formula RPAREN (( thf_logic_formula ))
|
|
584 |
thf_apply_formula : thf_unitary_formula AT_SIGN thf_unitary_formula (( Fmla (Interpreted_ExtraLogic Apply, [thf_unitary_formula1, thf_unitary_formula2]) ))
|
|
585 |
| thf_apply_formula AT_SIGN thf_unitary_formula (( Fmla (Interpreted_ExtraLogic Apply, [thf_apply_formula, thf_unitary_formula]) ))
|
|
586 |
thf_and_formula : thf_unitary_formula AMPERSAND thf_unitary_formula (( Fmla (Interpreted_Logic And, [thf_unitary_formula1, thf_unitary_formula2]) ))
|
|
587 |
| thf_and_formula AMPERSAND thf_unitary_formula (( Fmla (Interpreted_Logic And, [thf_and_formula, thf_unitary_formula]) ))
|
|
588 |
thf_or_formula : thf_unitary_formula VLINE thf_unitary_formula (( Fmla (Interpreted_Logic Or, [thf_unitary_formula1, thf_unitary_formula2]) ))
|
|
589 |
| thf_or_formula VLINE thf_unitary_formula (( Fmla (Interpreted_Logic Or, [thf_or_formula, thf_unitary_formula]) ))
|
|
590 |
thf_binary_tuple : thf_or_formula (( thf_or_formula ))
|
|
591 |
| thf_and_formula (( thf_and_formula ))
|
|
592 |
| thf_apply_formula (( thf_apply_formula ))
|
|
593 |
thf_binary_pair : thf_unitary_formula thf_pair_connective thf_unitary_formula ((
|
|
594 |
Fmla (thf_pair_connective, [thf_unitary_formula1, thf_unitary_formula2])
|
|
595 |
))
|
|
596 |
thf_binary_formula : thf_binary_pair (( thf_binary_pair ))
|
|
597 |
| thf_binary_tuple (( thf_binary_tuple ))
|
|
598 |
| thf_binary_type (( THF_type thf_binary_type ))
|
|
599 |
thf_logic_formula : thf_binary_formula (( thf_binary_formula ))
|
|
600 |
| thf_unitary_formula (( thf_unitary_formula ))
|
|
601 |
| thf_type_formula (( THF_typing thf_type_formula ))
|
|
602 |
| thf_subtype (( THF_type thf_subtype ))
|
|
603 |
thf_formula : thf_logic_formula (( thf_logic_formula ))
|
|
604 |
| thf_sequent (( thf_sequent ))
|
|
605 |
|
|
606 |
formula_role : LOWER_WORD (( classify_role LOWER_WORD ))
|
|
607 |
|
|
608 |
thf_annotated : THF LPAREN name COMMA formula_role COMMA thf_formula annotations RPAREN PERIOD ((
|
|
609 |
Annotated_Formula ((file_name, THFleft + 1, THFright + 1),
|
|
610 |
THF, name, formula_role, thf_formula, annotations)
|
|
611 |
))
|
|
612 |
|
|
613 |
tff_annotated : TFF LPAREN name COMMA formula_role COMMA tff_formula annotations RPAREN PERIOD ((
|
|
614 |
Annotated_Formula ((file_name, TFFleft + 1, TFFright + 1),
|
|
615 |
TFF, name, formula_role, tff_formula, annotations)
|
|
616 |
))
|
|
617 |
|
|
618 |
fof_annotated : FOF LPAREN name COMMA formula_role COMMA fof_formula annotations RPAREN PERIOD ((
|
|
619 |
Annotated_Formula ((file_name, FOFleft + 1, FOFright + 1),
|
|
620 |
FOF, name, formula_role, fof_formula, annotations)
|
|
621 |
))
|
|
622 |
|
|
623 |
cnf_annotated : CNF LPAREN name COMMA formula_role COMMA cnf_formula annotations RPAREN PERIOD ((
|
|
624 |
Annotated_Formula ((file_name, CNFleft + 1, CNFright + 1),
|
|
625 |
CNF, name, formula_role, cnf_formula, annotations)
|
|
626 |
))
|
|
627 |
|
|
628 |
annotated_formula : cnf_annotated (( cnf_annotated ))
|
|
629 |
| fof_annotated (( fof_annotated ))
|
|
630 |
| tff_annotated (( tff_annotated ))
|
|
631 |
| thf_annotated (( thf_annotated ))
|
|
632 |
|
|
633 |
include_ : INCLUDE LPAREN file_name formula_selection RPAREN PERIOD ((
|
|
634 |
Include (file_name, formula_selection)
|
|
635 |
))
|
|
636 |
|
|
637 |
formula_selection : COMMA LBRKT name_list RBRKT (( name_list ))
|
|
638 |
| (( [] ))
|
|
639 |
|
|
640 |
name_list : name COMMA name_list (( name :: name_list ))
|
|
641 |
| name (( [name] ))
|
|
642 |
|
|
643 |
name : atomic_word (( atomic_word ))
|
|
644 |
| integer (( integer ))
|
|
645 |
|
|
646 |
tptp_input : annotated_formula (( annotated_formula ))
|
|
647 |
| include_ (( include_ ))
|
|
648 |
|
|
649 |
tptp_file : tptp_input tptp_file (( tptp_input :: tptp_file ))
|
|
650 |
| COMMENT tptp_file (( tptp_file ))
|
|
651 |
| (( [] ))
|
|
652 |
|
|
653 |
tptp : tptp_file (( tptp_file ))
|