data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p > p) & (p | r)) | ((r & p) & (q & q))) and (((p ! p) & (p | r)) | ((r & p) & (q & q))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((r & q) & (q = r)) & ((p > q) = (p > q))) using rule 10.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((r & q) > (r | p)) = ((q = p) = (q > p))) using rule 10.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((p | q) = (q | r)) and p | q = q | r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((r = q) & (p & r)) and r = q & p & r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((r & q) = (r | p)) | ((r > p) & (q & q))) using rule 14.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p | r) > (q & p)) & ((p & p) & (p | r))) and p | r > q & p & p & p & p | r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((q = r) = (r | r)) | ((r > q) > (p = r))) and (((q & r) & (r | r)) | ((r ! q) ! (p & r))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((p > p) & (r | r)) and ((p ! p) & (r | r)) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((r | q) & (q & r)) and r | q & q & r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]

city: Shanghai

p: Suzhou

q: Shanghai

r: Hangzhou


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((r > q) | (q > p)) & ((p | q) | (p > q))) using rule 12.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p | r) | (r | r)) & ((q = q) = (q | p))) and p | r | r | r & q = q = q | p equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((q > r) > (p | r)) using rule 14.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((q | q) & (q | p)) & ((q > r) = (q | r))) and q | q & q | p & q > r = q | r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p | r) | (r | r)) | ((r & q) | (p | r))) and p | r | r | r | r & q | p | r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((p > q) & (q | q)) = ((r > p) & (p = r))) using rule 12.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]

city: Hangzhou


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((p | p) & (p | r)) using rule 12.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((p = q) & (p & r)) > ((p > r) | (p & p))) using rule 14.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((p | q) > (q & r)) using rule 14.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p > p) & (p = r)) & ((q = r) & (q & q))) and (((p ! p) & (p & r)) & ((q & r) & (q & q))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((q = r) & (r = p)) | ((q | q) | (p & p))) using rule 14.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]

city: Suzhou


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((r & p) & (p | r)) and r & p & p | r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p & p) > (r > r)) > ((p | q) = (p | r))) and (((p & p) ! (r ! r)) ! ((p | q) & (p | r))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((p | q) > (q | q)) using rule 12.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((q = p) | (r | r)) and q = p | r | r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p > q) & (r > q)) = ((r > p) > (q & r))) and (((p ! q) & (r ! q)) & ((r ! p) ! (q & r))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((r = p) > (r > r)) using rule 12.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((q & q) > (p | r)) | ((q = r) & (p & q))) and (((q & q) ! (p | r)) | ((q & r) & (p & q))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((q & q) & (q > r)) and q & q & q > r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((r | q) & (r & p)) and ((r | q) & (r & p)) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression (((p & p) & (r | p)) > ((r > r) | (q | r))) using rule 12.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((p & q) = (r > r)) using rule 14.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p = r) > (p | p)) > ((p = q) | (p & q))) and p = r > p | p > p = q | p & q equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((r = q) = (r & q)) and ((r & q) & (r & q)) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((p = q) & (q = p)) using rule 12.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((q | p) & (r > q)) and q | p & r > q equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((r > r) = (r & p)) using rule 14.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p | p) = (q & q)) | ((r | r) > (r & r))) and (((p | p) & (q & q)) | ((r | r) ! (r & r))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((q = r) | (p > r)) and q = r | p > r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((r > r) | (p & q)) using rule 10.
Format answer as [[converted_expression]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((p | q) | (r | r)) and p | q | r | r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((p | q) = (q & r)) = ((r & r) & (q > p))) and (((p | q) & (q & r)) & ((r & r) & (q ! p))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are ((q | q) = (p & r)) and q | q = p & r equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Are (((q & r) = (r | p)) > ((p | p) & (p & q))) and (((q & r) & (r | p)) ! ((p | p) & (p & q))) equivalent?
Format answer as [[A]] for Yes or [[B]] for No


data_source: KorLogicEquivalenceCalculus

prompt:
Professor Wang is from Suzhou, Shanghai, or Hangzhou.
Three people made statements. Determine who was completely correct.
Format answer as [[City];[Person]]


data_source: KorLogicEquivalenceCalculus

prompt:
Convert the expression ((q = p) > (r = q)) using rule 12.
Format answer as [[converted_expression]]