----- Otter 3.0.4, August 1995 ----- The job was started by mccune on gyro, Wed Nov 1 22:01:57 1995 ----> UNIT CONFLICT at 0.08 sec ----> 36 [binary,35.1,1.1] -> . Length of proof is 8. Level of proof is 5. ---------------- PROOF ---------------- 1 [] -> x=x. 2 [] A* ((((A*B@ )*B)@ *C)* (D@ *D))=C -> . 3 [] -> x@ *x=y@ *y. 4 [] -> x@ * (x*y)=y. 6 [] -> (x*y)*y@ =x. 8 [para_from,3.1.1,2.1.1.2.2] A* ((((A*B@ )*B)@ *C)* (x@ *x))=C -> . 10,9 [para_into,4.1.1.2,4.1.1] -> x@ @ *y=x*y. 12,11 [para_into,4.1.1.2,3.1.1,demod,10] -> x* (y@ *y)=x. 13 [back_demod,8,demod,12] A* (((A*B@ )*B)@ *C)=C -> . 24 [para_into,11.1.1,4.1.1,flip.1] -> x@ @ =x. 31,30 [para_from,24.1.1,6.1.1.2] -> (x*y@ )*y=x. 33,32 [para_from,24.1.1,4.1.1.1] -> x* (x@ *y)=y. 35 [back_demod,13,demod,31,33] C=C -> . 36 [binary,35.1,1.1] -> . ------------ end of proof -------------