----- Otter 3.0.4a, November 1995 ----- The job was started by mccune on gyro, Fri May 3 09:14:51 1996 ----> UNIT CONFLICT at 0.54 sec ----> 105 [binary,103.1,6.1] $F. Length of proof is 12. Level of proof is 8. ---------------- PROOF ---------------- 1 [] x=x. 2 [] x/y!=z/u|y/ (((z/z)/z)/ ((x/x)/x))=u. 4,3 [] x/x=e. 5 [] A/ ((((A/A)/B)/C)/ (((A/A)/A)/C))!=B. 6 [copy,5,demod,4,4] A/ (((e/B)/C)/ ((e/A)/C))!=B. 7 [back_demod,2,demod,4,4] x/y!=z/u|y/ ((e/z)/ (e/x))=u. 9,8 [hyper,7,1,demod,4] x/e=x. 10 [hyper,7,8] e/ ((e/x)/ (e/ (x/y)))=y. 12 [hyper,7,10,demod,4,9] ((e/x)/ (e/ (x/ (y/z))))/ (e/y)=z. 17,16 [para_into,10.1.1.2.2.2,10.1.1,demod,4,flip.1] (e/x)/ (e/ (x/y))=e/ (e/ (e/y)). 19,18 [para_into,10.1.1.2.2.2,3.1.1,demod,4,9] e/ (e/x)=x. 20 [back_demod,12,demod,17,19] (e/ (x/y))/ (e/x)=y. 24 [hyper,7,20,demod,19] (e/x)/ ((e/y)/ (x/ (y/z)))=z. 28 [para_into,20.1.1.2,18.1.1] (e/ ((e/x)/y))/x=y. 30 [para_into,24.1.1.1,18.1.1] x/ ((e/y)/ ((e/x)/ (y/z)))=z. 103 [para_into,30.1.1.2.2.2,28.1.1,demod,19] x/ (((e/y)/z)/ ((e/x)/z))=y. 105 [binary,103.1,6.1] $F. ------------ end of proof -------------