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Length of proof is 7.  Level of proof is 4.

---------------- PROOF ----------------

112 [] s(xa,xp)!=xr|s(xa,xq)!=xr|xp=xq.
114 [] s(xa,xp)!=xp|xp=xa.
170 [] s(a,s(b,p))=s(b,s(a,p)).
171 [] a!=b.
172 [] p=s(a,p).
173 [] s(a,p)=p.
184 [hyper,112,170,170] s(b,p)=s(b,p).
212 [para_from,170.1.1,114.1.1,demod,173,unit_del,184] s(b,p)=a.
240 [binary,171.1,114.2] s(b,a)!=a.
314 [para_into,172.1.1,172.1.1,demod,173,173] p=p.
336 [para_from,172.1.2,114.1.1,unit_del,314] p=a.
350 [para_from,336.1.1,172.1.1,demod,173] a=p.
2442 [para_into,212.1.1.2,350.1.2] s(b,a)=a.
2443 [binary,2442.1,240.1] $F.

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