Answer
Let the commitments contain the variable $p$,$ q$, $r$, $s$
When we assign the truth values to each variable ($T$=true and $F$ = false) then for each combination of the truth values of the variables:
The commitment is either true $ T$ or false $F$. Using such a sequence of truth values for the commitment we will then make the system of commitments consistent.
For example when we assume all variables are true.
If then the commitment has the sequence of values $F$,$F$,$ T$,$F$,$ T$,$F$, etc. Then the student passes that if the prudent accept the commitments with True Value$ T$and reject commitments with truth value $F$.
Work Step by Step
Let the commitments contain the variable $p$,$ q$, $r$, $s$
When we assign the truth values to each variable ($T$=true and $F$ = false) then for each combination of the truth values of the variables:
The commitment is either true $ T$ or false $F$. Using such a sequence of truth values for the commitment we will then make the system of commitments consistent.
For example when we assume all variables are true.
If then the commitment has the sequence of values $F$,$F$,$ T$,$F$,$ T$,$F$, etc. Then the student passes that if the prudent accept the commitments with True Value$ T$and reject commitments with truth value $F$.
