----- Otter 3.0.4, August 1995 ----- The job was started by mccune on gyro, Wed Nov 1 22:01:45 1995 ----> UNIT CONFLICT at 0.35 sec ----> 116 [binary,114.1,1.1] $F. Length of proof is 10. Level of proof is 6. ---------------- PROOF ---------------- 1 [] d*d0!=c*c0. 4,3 [] (x*y)*z=x* (y*z). 15 [] x@ * (x*y)=y. 18,17 [] x* (x@ *y)=y. 23 [] a*a0=b*b0. 24 [copy,23,flip.1] b*b0=a*a0. 26 [] c*a0=d*b0. 27 [copy,26,flip.1] d*b0=c*a0. 29 [] a*c0=b*d0. 30 [copy,29,flip.1] b*d0=a*c0. 32 [para_from,24.1.1,3.1.1.1,demod,4,flip.1] b* (b0*x)=a* (a0*x). 34 [para_from,27.1.1,3.1.1.1,demod,4,flip.1] d* (b0*x)=c* (a0*x). 44 [para_into,15.1.1.2,30.1.1] b@ * (a*c0)=d0. 62 [para_from,32.1.1,15.1.1.2] b@ * (a* (a0*x))=b0*x. 97,96 [para_into,62.1.1.2.2,17.1.1] b@ * (a*x)=b0* (a0@ *x). 106 [back_demod,44,demod,97] b0* (a0@ *c0)=d0. 114 [para_from,106.1.1,34.1.1.2,demod,18] d*d0=c*c0. 116 [binary,114.1,1.1] $F. ------------ end of proof -------------