Sindbad~EG File Manager

Length of proof is 17.  Level of proof is 4.
 
---------------- PROOF ----------------
 
14 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
15 [] -E(xa,xb,xc,xd)| -E(xc,xd,xe,xf)|E(xa,xb,xe,xf).
16 [] -E(xa,xb,xc,xd)|E(xb,xa,xc,xd).
21 [] -E(xb,xc,xa,xa)|xb=xc.
24 [] T(xa,xb,xb).
26 [] T(xa1,xa1,xb1).
27 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
42 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xc,xa1,xc1)| -E(xb,xc,xb1,xc1)|E(xa,xb,xa1,xb1).
52 [] Col(xa,xb,xa).
74 [] -T(xa,xb,xc)| -E(xa,xc,xa,xb)|xc=xb.
77 [] xa=xp|xb=xp|xc=xp| -T(xa,xp,xc)|T(xb,xp,xc)| -sameside(xa,xp,xb).
84 [] -sameside(xa,xp,xb)|Col(xa,xp,xb).
85 [] -sameside(xa,xp,xb)| -T(xa,xp,xb).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
88 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
89 [] -sameside(xa,xp,xb)| -sameside(xb,xp,xc)|sameside(xa,xp,xc).
111 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
123 [] -sameside(xa,xp,xb)|xa!=xp.
124 [] -sameside(xa,xp,xb)|xb!=xp.
128 [] r!=a.
130 [] sameside(p,a,r).
131 [] E(a,p,b,c).
132 [] sameside(q,a,r).
133 [] E(a,q,b,c).
134 [] p!=q.
296 [binary,130.1,123.1] p!=a.
299 [binary,130.1,88.1] sameside(r,a,p).
337 [binary,131.1,16.1] E(p,a,b,c).
340 [binary,131.1,14.1] E(b,c,a,p).
390 [binary,132.1,123.1] q!=a.
431 [binary,133.1,16.1] E(q,a,b,c).
511 [binary,134.1,21.2] -E(p,q,x,x).
547 [ur,27,24,134] -T(q,p,q).
958 [binary,299.1,85.1] -T(r,a,p).
964 [hyper,89,132,299] sameside(q,a,p).
1218 [binary,547.1,86.3,unit_del,52] sameside(q,p,q).
1771 [ur,77,390,128,296,958,132] -T(q,a,p).
1821 [binary,964.1,84.1] Col(q,a,p).
2124 [binary,1218.1,124.1] q!=p.
3270 [hyper,15,133,340] E(a,q,a,p).
4011 [ur,42,26,337,431,511] -T(p,q,a).
4067 [binary,4011.1,111.4,unit_del,1821,1771] T(a,p,q).
4129 [binary,4067.1,74.1,unit_del,3270,2124] $F.