----- Otter 3.0.4a, November 1995 ----- The job was started by mccune on gyro, Fri May 3 09:14:08 1996 ----> UNIT CONFLICT at 1.27 sec ----> 173 [binary,172.1,1.1] $F. Length of proof is 20. Level of proof is 11. ---------------- 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. 26 [para_into,20.1.1.1.2,20.1.1,demod,19] (e/x)/ (y/x)=e/y. 30 [hyper,7,26,demod,4,19] (x/y)/ (e/y)=x. 32 [para_into,26.1.1.1,18.1.1] x/ (y/ (e/x))=e/y. 33 [copy,32,flip.1] e/x=y/ (x/ (e/y)). 36 [para_into,30.1.1.1,20.1.1,demod,19] x/y=e/ (y/x). 39 [copy,36,flip.1] e/ (x/y)=y/x. 43 [para_from,36.1.1,6.1.1.2.1] A/ ((e/ (C/ (e/B)))/ ((e/A)/C))!=B. 100,99 [para_into,33.1.1,39.1.1,flip.1] x/ ((y/z)/ (e/x))=z/y. 104 [para_from,33.1.1,30.1.1.2] (x/y)/ (z/ (y/ (e/z)))=x. 171,170 [para_from,104.1.1,24.1.1.2.2] (e/ (x/y))/ ((e/z)/x)=y/ (e/z). 172 [back_demod,43,demod,171,100,9] B!=B. 173 [binary,172.1,1.1] $F. ------------ end of proof -------------