use super::helpers_by_stmt::impossible_proof_error_message;
use crate::prelude::*;
impl Runtime {
pub fn exec_by_contra_stmt(&mut self, stmt: &ByContraStmt) -> Result<StmtResult, RuntimeError> {
let to_prove_fact = stmt.to_prove.clone();
self.verify_fact_well_defined(&to_prove_fact, &VerifyState::new(0, false))
.map_err(|verify_error| {
short_exec_error(
stmt.clone().into(),
format!("by contra: failed to prove `{}`", to_prove_fact),
Some(verify_error),
vec![],
)
})?;
let (exec_proof_inside_results, last_error) = self.run_in_local_env(|rt| {
let mut inside_results: Vec<StmtResult> = Vec::new();
let reverse_to_prove_fact = reverse_fact_for_by_contra(&to_prove_fact)?;
rt.verify_well_defined_and_store_and_infer_with_default_verify_state(
reverse_to_prove_fact,
)
.map_err(|store_fact_error| {
short_exec_error(
stmt.clone().into(),
format!("by contra: failed to know reverse of `{}`", to_prove_fact),
Some(store_fact_error),
vec![],
)
})?;
let mut last_error: Option<RuntimeError> = None;
for proof_stmt in stmt.proof.iter() {
let exec_stmt_result = rt.exec_stmt(proof_stmt);
match exec_stmt_result {
Ok(result) => inside_results.push(result),
Err(statement_error) => {
last_error = Some(statement_error);
break;
}
}
}
if last_error.is_some() {
return Ok((inside_results, last_error));
}
let verify_impossible_fact_result =
rt.verify_atomic_fact(&stmt.impossible_fact, &VerifyState::new(0, false))?;
if verify_impossible_fact_result.is_unknown() {
return Err(short_exec_error(
stmt.clone().into(),
impossible_proof_error_message(&stmt.impossible_fact, None),
None,
inside_results,
));
}
let verify_reversed_impossible_fact_result = rt.verify_atomic_fact(
&stmt.impossible_fact.make_reversed(),
&VerifyState::new(0, false),
)?;
if verify_reversed_impossible_fact_result.is_unknown() {
return Err(short_exec_error(
stmt.clone().into(),
impossible_proof_error_message(&stmt.impossible_fact, None),
None,
vec![],
));
}
Ok((inside_results, last_error))
})?;
if let Some(last_error) = last_error {
return Err(short_exec_error(
stmt.clone().into(),
"by contra: failed to execute proof".to_string(),
Some(last_error),
exec_proof_inside_results,
));
}
let to_prove_fact_display_string = to_prove_fact.to_string();
let infer_result = self
.verify_well_defined_and_store_and_infer_with_default_verify_state(to_prove_fact)
.map_err(|store_fact_error| {
short_exec_error(
stmt.clone().into(),
format!(
"by contra: failed to release `{}`",
to_prove_fact_display_string
),
Some(store_fact_error),
vec![],
)
})?;
Ok((NonFactualStmtSuccess::new(
stmt.clone().into(),
infer_result,
exec_proof_inside_results,
))
.into())
}
}
fn reverse_fact_for_by_contra(fact: &Fact) -> Result<Fact, RuntimeError> {
match fact {
Fact::AtomicFact(atomic_fact) => Ok(atomic_fact.make_reversed().into()),
Fact::ForallFact(forall_fact) => Ok(NotForallFact::new(forall_fact.clone()).into()),
Fact::NotForall(not_forall) => Ok(not_forall.forall_fact.clone().into()),
Fact::ExistFact(_)
| Fact::OrFact(_)
| Fact::AndFact(_)
| Fact::ChainFact(_)
| Fact::ForallFactWithIff(_) => Err(RuntimeError::ExecStmtError(
RuntimeErrorStruct::new_with_msg_and_line_file(
format!(
"by contra: cannot build reverse assumption for `{}` yet",
fact
),
fact.line_file(),
),
)),
}
}