typos in smt chapter

smt/0016_sol.tex

@@ -6,5 +6,5 @@
             &\{x,f(y),u,v,z,v\},\{y,f(u)\}, \{f(x),f(z)\}
 \end{align*}
 
-Checking the disequality $f(x) \neq f(z)$ leads to the result that the assignment is UNSAT, since  $f(x)$ and $f(z)$
-are in the same congruence class.
+Checking the inequalities $f(x) \neq f(z)$ leads to the result that the assignment is UNSAT, since  $f(x)$ and $f(z)$
+are in the same congruence class.

smt/1032_sol.tex

@@ -1,8 +1,8 @@
 \begin{align*}
     & \{f(b),a\}, \{e,b\}, \{c,f(c)\}, \{f(e)\}, \{\underline{f(a)},f(d)\}, \{d,\underline{f(a)}\} \\
     & \{\underline{f(b)},a\}, \{\underline{e,b}\}, \{c,f(c)\}, \{\underline{f(e)}\}, \{f(a),f(d),d\} \\
-    & \{f(b),a,f(e)\}, \{e,b\}, \{c,f(c)\}, \{f(a),f(d),d\} 
+    & \{f(b),a,f(e)\}, \{e,b\}, \{c,f(c)\}, \{f(a),f(d),d\}
 \end{align*}
 
-Checking the disequalities $d \neq f(e)$ and $a \neq f(c)$ leads to the result that the assignment is SAT, since neither $d$ and $f(e)$ nor $a$ and $f(c)$
-are in the same congruence class.
+Checking the inequalities $d \neq f(e)$ and $a \neq f(c)$ leads to the result that the assignment is SAT, since neither $d$ and $f(e)$ nor $a$ and $f(c)$
+are in the same congruence class.

smt/1033_sol.tex

@@ -7,5 +7,5 @@
     & \{k,m,n,o,f(k),f(m),f(n),f(o)\}, \{l\} \\
 \end{align*}
 
-Checking the disequalities $o \neq k$, $f(m) \neq k$, $m \neq f(m)$ leads to the result that the assignment is UNSAT, since $o$ and $k$, $f(m)$ and $k$, $m$ and $f(m)$
+Checking the inequalities $o \neq k$, $f(m) \neq k$, $m \neq f(m)$ leads to the result that the assignment is UNSAT, since $o$ and $k$, $f(m)$ and $k$, $m$ and $f(m)$
 are in the same congruence class.