----- SUMMARY FOR THEOREM DJ-3B IN DIRECTORY Q:\DJ ----- % DJ-3B.IN corrected 1994 April 16 % Theorem 3B about Disjoint Classes formula_list(sos). % negation of theorem DJ-3B -(all x (equal(x,0) -> disjoint(x,x))). end_of_list. ----- Otter 3.0.4, August 1995 ----- The job was started by ??? on ???, Sun Jul 13 22:40:13 1997 Length of proof is 1. Level of proof is 1. ---------------- PROOF ---------------- 224 [] -equal(intersection(x,y),0) | disjoint(x,y). 229 [] equal($c1,0). 230 [] -disjoint($c1,$c1). 238 [] equal(intersection(x,x),x). 277 [ur,230,224,demod,238] -equal($c1,0). 278 [binary,277.1,229.1] $F. ------------ end of proof ------------- clauses generated 58 Kbytes malloced 287 user CPU time 0.44 seconds