----- Otter 3.0.4a, November 1995 ----- The job was started by mccune on gyro, Fri May 3 09:13:32 1996 ----> UNIT CONFLICT at 1.24 sec ----> 65 [binary,64.1,1.1] $F. Length of proof is 16. Level of proof is 11. ---------------- PROOF ---------------- 1 [] A/A!=B/B. 2 [] x=x. 3 [] x/y!=z/u|y/ (((z/z)/z)/ ((x/x)/x))=u. 5,4 [hyper,3,2] x/ (((y/y)/y)/ ((y/y)/y))=x. 7,6 [hyper,3,4] (((x/x)/x)/ ((x/x)/x))/ (((y/y)/y)/ (((y/z)/ (y/z))/ (y/z)))=z. 8 [hyper,3,6,demod,5,5,5] (((x/x)/x)/ (((x/ (y/z))/ (x/ (y/z)))/ (x/ (y/z))))/ ((y/y)/y)=z. 10 [para_into,6.1.1.2.2.1.1,4.1.1,demod,5,5,5] ((x/x)/x)/ ((x/x)/x)= ((y/y)/y)/ ((y/y)/y). 11 [para_into,6.1.1.2.2.1,4.1.1,demod,5,5] (((x/x)/x)/ ((x/x)/x))/ ((((y/y)/y)/ ((y/y)/y))/ ((y/y)/y))= (y/y)/y. 14,13 [para_from,10.1.1,6.1.1.2.2.1] (((x/x)/x)/ ((x/x)/x))/ ((((y/y)/ (y/y))/ (y/y))/ ((((z/z)/z)/ ((z/z)/z))/ ((y/y)/y)))=y. 17 [para_from,10.1.1,4.1.1.2.1.1] x/ (((((y/y)/y)/ ((y/y)/y))/ ((z/z)/z))/ ((((z/z)/z)/ ((z/z)/z))/ ((z/z)/z)))=x. 19 [para_into,8.1.1.1.2.1.1.2,6.1.1,demod,7,7,5,5,5] ((x/x)/x)/ (((x/y)/ (x/y))/ (x/y))= ((z/z)/z)/ (((z/y)/ (z/y))/ (z/y)). 25,24 [para_into,11.1.1.2.1,10.1.1] (((x/x)/x)/ ((x/x)/x))/ ((((y/y)/y)/ ((y/y)/y))/ ((z/z)/z))= (z/z)/z. 33,32 [para_from,13.1.1,6.1.1.2.2.2,demod,5,5,14,14,25,flip.1] (((x/x)/ (x/x))/ (x/x))/ ((((y/y)/y)/ ((y/y)/y))/ ((x/x)/x))= (x/x)/x. 35,34 [back_demod,13,demod,33] (((x/x)/x)/ ((x/x)/x))/ ((y/y)/y)=y. 42,41 [back_demod,17,demod,35,35] x/ (y/y)=x. 49,48 [para_from,41.1.1,19.1.1.2,demod,42,42,flip.1] ((x/x)/x)/ (((x/y)/ (x/y))/ (x/y))= (y/y)/y. 54,53 [para_from,41.1.1,8.1.1.2,demod,49,42,42] (((x/x)/y)/ ((x/x)/y))/ ((x/x)/y)=y. 56 [para_from,41.1.1,19.1.1.1,demod,42,54,49] (x/x)/y= (y/y)/y. 64 [para_into,56.1.1,41.1.1,demod,42,42] x/x=y/y. 65 [binary,64.1,1.1] $F. ------------ end of proof -------------