----- SUMMARY FOR THEOREM D-SU2 IN DIRECTORY Q:\D\1 ----- % D-SU2.IN 1998 January 3 % Theorem suggested by examining output of ALL.CLS % This theorem subsumes others. formula_list(sos). % negation of theorem D-SU2 -(all x y z subclass(union(intersection(x,y),z),union(x,z))). end_of_list. ----- Otter 3.0.4, August 1995 ----- The job was started by ??? on ???, Sat Jan 03 16:24:40 1998 Length of proof is 1. Level of proof is 1. ---------------- PROOF ---------------- 198 [] subclass(intersection(x,y),x). 202 [] -subclass(x,y) | subclass(union(x,z),union(y,z)). 217 [] -subclass(union(intersection($c3,$c2),$c1),union($c3,$c1)). 241 [ur,217,202] -subclass(intersection($c3,$c2),$c3). 242 [binary,241.1,198.1] $F. ------------ end of proof ------------- clauses generated 1 Kbytes malloced 287 user CPU time 0.55 seconds