----- SUMMARY FOR THEOREM FIN-SC6 IN DIRECTORY Q:\finite ----- % FIN-SC6.IN 2000 April 3 formula_list(sos). % negation of Corollary FIN-SC6 -(all x y (member(U(x),FINITE) -> member(x,FINITE))). end_of_list. ----- Otter 3.0.4, August 1995 ----- The job was started by ??? on ???, Mon Apr 03 23:13:25 2000 Length of proof is 2. Level of proof is 1. ---------------- PROOF ---------------- 587 [] subclass(x,P(U(x))). 3087 [] -member(x,FINITE) | -subclass(y,x) | member(y,FINITE). 3110 [] -member(x,FINITE) | member(P(x),FINITE). 3111 [] member(U($c2),FINITE). 3112 [] -member($c2,FINITE). 4104 [ur,3111,3110] member(P(U($c2)),FINITE). 4122 [ur,3112,3087,587] -member(P(U($c2)),FINITE). 4123 [binary,4122.1,4104.1] $F. ------------ end of proof ------------- clauses generated 2409 Kbytes malloced 2842 user CPU time 2.31 seconds