Sindbad~EG File Manager

Length of proof is 16.  Level of proof is 3.
 
---------------- PROOF ----------------
 
51 [] -Col(xa,xb,xc)|Col(xa,xc,xb).
179 [] -Col(xa,xb,xc)| -Col(xa,xb,xd)|xa=xb|Col(xa,xc,xd).
249 [] -samesideline(xa,xb,xp,xq)|Col(xp,xq,ss1(xa,xb,xp,xq)).
250 [] -samesideline(xa,xb,xp,xq)|Col(xp,xq,ss2(xa,xb,xp,xq)).
251 [] -samesideline(xa,xb,xp,xq)|T(xa,ss1(xa,xb,xp,xq),ss3(xa,xb,xp,xq)).
252 [] -samesideline(xa,xb,xp,xq)|T(xb,ss2(xa,xb,xp,xq),ss3(xa,xb,xp,xq)).
253 [] -samesideline(xa,xb,xp,xq)|xa!=ss1(xa,xb,xp,xq).
254 [] -samesideline(xa,xb,xp,xq)|xb!=ss2(xa,xb,xp,xq).
255 [] -samesideline(xa,xb,xp,xq)|ss3(xa,xb,xp,xq)!=ss1(xa,xb,xp,xq).
256 [] -samesideline(xa,xb,xp,xq)|ss3(xa,xb,xp,xq)!=ss2(xa,xb,xp,xq).
258 [] -samesideline(xa,xb,xp,xq)| -Col(xp,xq,xa).
259 [] -samesideline(xa,xb,xp,xq)| -Col(xp,xq,xb).
260 [] -T(xa,xu,xc)| -T(xb,xv,xc)| -Col(xp,xq,xu)| -Col(xp,xq,xv)|xp=xq|xc=xu|xc=xv|xa=xu|xb=xv|Col(xp,xq,xa)|Col(xp,xq,xb)|samesideline(xa,xb,xp,xq).
262 [] Col(a,b,c).
263 [] a!=b.
264 [] a!=c.
265 [] samesideline(p,q,a,b).
266 [] -samesideline(p,q,a,c).
270 [] ss1(p,q,a,b)=t1.
271 [] ss2(p,q,a,b)=t2.
272 [] ss3(p,q,a,b)=t3.
306 [binary,262.1,51.1] Col(a,c,b).
425 [binary,265.1,259.1] -Col(a,b,q).
426 [binary,265.1,258.1] -Col(a,b,p).
427 [binary,265.1,256.1,demod,272,271] t3!=t2.
428 [binary,265.1,255.1,demod,272,270] t3!=t1.
429 [binary,265.1,254.1,demod,271] q!=t2.
430 [binary,265.1,253.1,demod,270] p!=t1.
431 [binary,265.1,252.1,demod,271,272] T(q,t2,t3).
432 [binary,265.1,251.1,demod,270,272] T(p,t1,t3).
433 [binary,265.1,250.1,demod,271] Col(a,b,t2).
434 [binary,265.1,249.1,demod,270] Col(a,b,t1).
517 [ur,179,306,264,425] -Col(a,c,q).
538 [ur,179,306,264,426] -Col(a,c,p).
921 [hyper,179,262,433,unit_del,263] Col(a,c,t2).
959 [hyper,179,262,434,unit_del,263] Col(a,c,t1).
1056 [ur,260,432,431,921,264,428,427,430,429,538,517,266] -Col(a,c,t1).
1057 [binary,1056.1,959.1] $F.