The type of statements.

The type of identifiers

The type of terms used in statements.

The type of locations attached to statements.

Terms as annotations for statements.

Include directive. Given the filename, and a list of names to import (an empty list means import everything).

TPTP statements, used for instance as tff ~loc ~annot name role t. Instructs the prover to register a new directive with the given name, role and term. Current tptp roles are:

• "axiom", "hypothesis", "definition", "lemma", "theorem" acts as new assertions/declartions

• "assumption", "conjecture" are proposition that need to be proved, and then can be used to prove other propositions. They are equivalent to the following sequence of smtlib statements:

  • push 1
  • assert (not t)
  • check_sat
  • pop 1
  • assert t
• "negated_conjecture" is the same as "conjecture", but the given proposition is false (i.e its negation is the proposition to prove).
• "type" declares a new symbol and its type
• "plain", "unknown", "fi_domain", "fi_functors", "fi_predicates" are valid roles with no specified semantics
• any other role is an error