Sindbad~EG File Manager
Length of proof is 15. Level of proof is 5.
---------------- PROOF ----------------
7 [] -T(x,y,x)|x=y.
103 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
109 [] M(xa,xm,xa)|xm!=xa.
132 [] -R(xa,xb,xc)|R(xc,xb,xa).
133 [] -R(xa,xb,xc)|xa=xb| -Col(xb,xa,xa1)|R(xa1,xb,xc).
188 [] -M(xa,xm,xb)|T(xa,xm,xb).
205 [] perpAt(y,z,x,y1,z1)|y=z|y1=z1| -Col(y,z,x)| -Col(y1,z1,x)|Col(y,z,f811(y,z,y1,z1,x)).
206 [] perpAt(y,z,x,y1,z1)|y=z|y1=z1| -Col(y,z,x)| -Col(y1,z1,x)|Col(y1,z1,g811(y,z,y1,z1,x)).
207 [] perpAt(y,z,x,y1,z1)|y=z|y1=z1| -Col(y,z,x)| -Col(y1,z1,x)| -R(f811(y,z,y1,z1,x),x,g811(y,z,y1,z1,x)).
211 [] a!=b.
212 [] p!=q.
213 [] Col(p,q,cx).
214 [] Col(a,b,cx).
215 [] Col(a,b,cu).
216 [] Col(p,q,cv).
217 [] cx!=cu.
218 [] cx!=cv.
219 [] R(cu,cx,cv).
220 [] -perpAt(a,b,cx,p,q).
223 [] f811(a,b,p,q,cx)=t.
224 [] g811(a,b,p,q,cx)=r.
541 [hyper,206,214,213,demod,224,unit_del,220,211,212] Col(p,q,r).
546 [hyper,205,214,213,demod,223,unit_del,220,211,212] Col(a,b,t).
734 [binary,217.1,7.2] -T(cx,cu,cx).
855 [binary,218.1,7.2] -T(cx,cv,cx).
937 [binary,219.1,132.1] R(cv,cx,cu).
943 [binary,220.1,207.1,demod,223,224,unit_del,211,212,214,213] -R(t,cx,r).
2022 [hyper,103,213,216,541,unit_del,218,212] Col(cx,cv,r).
2091 [hyper,103,214,215,546,unit_del,217,211] Col(cx,cu,t).
3015 [binary,734.1,188.2] -M(cx,cu,cx).
3274 [binary,855.1,188.2] -M(cx,cv,cx).
5900 [binary,3015.1,109.1] cu!=cx.
5950 [ur,133,5900,2091,943] -R(cu,cx,r).
6137 [binary,3274.1,109.1] cv!=cx.
6189 [ur,133,937,6137,2022] R(r,cx,cu).
8509 [binary,5950.1,132.2] -R(r,cx,cu).
8510 [binary,8509.1,6189.1] $F.
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