Line	Rule	$C_i$	$M_i$	Query
$L_1$	axiom	$\{x,t\}$	$1\mapsto \overline{u}$
$L_2$	axiom	$\{\overline{x},t\}$	$2\mapsto u$
$L_3$	$\text{res}(L_1,L_2,x)$	$\{t\}$	$\text{merge}(M_1,M_2,3,x)$	$3\mapsto (x,1,2)$
$L_4$	axiom	$\{x,\overline{t}\}$	$4\mapsto \overline{u}$
$L_5$	axiom	$\{\overline{x},\overline{t}\}$	$5\mapsto u$
$L_6$	$\text{res}(L_4,L_5,x)$	$\{\overline{t}\}$	$\text{merge}(M_4,M_5,6,x)$	$6\mapsto (x,4,5)$
$L_7$	$\text{res}(L_3,L_6,t)$	$\{\}$	$\text{select}(M_3,M_6)=M_3$