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Length of proof is 27.  Level of proof is 9.
 
---------------- PROOF ----------------
 
4 [] T(x,y,ext(x,y,w,v)).
5 [] E(y,ext(x,y,w,v),w,v).
14 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
19 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xb,xa1,xb1)| -E(xb,xc,xb1,xc1)|E(xa,xc,xa1,xc1).
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
42 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xc,xa1,xc1)| -E(xb,xc,xb1,xc1)|E(xa,xb,xa1,xb1).
43 [] -T(xa,xb,xc)| -E(xa,xc,xa1,xc1)|T(xa1,insert(xa,xb,xa1,xc1),xc1).
50 [] -Col(xa,xb,xc)|Col(xa,xc,xb).
54 [] insert(xa,xb,xa1,xc1)=ext(ext(xc1,xa1,alpha,gamma),xa1,xa,xb).
72 [] -E(xa1,xa2,xb1,xb2)| -E(xa1,xa3,xb1,xb3)| -E(xa2,xa3,xb2,xb3)|E3(xa1,xa2,xa3,xb1,xb2,xb3).
73 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
82 [] Col(a,b,c).
83 [] E(a,b,a1,b1).
84 [] -E3(a,b,c,a1,b1,x).
85 [] c1=ext(a1,b1,b,c).
86 [] c2=ext(b1,a1,a,c).
87 [] c3=insert(a,c,a1,b1).
90 [] insert(a,c,a1,b1)=c3.
93 [binary,82.1,50.1] Col(a,c,b).
100 [binary,83.1,72.1] -E(a,x,a1,y)| -E(b,x,b1,y)|E3(a,b,x,a1,b1,y).
102 [binary,83.1,43.2] -T(a,x,b)|T(a1,insert(a,x,a1,b1),b1).
107 [binary,83.1,22.1] E(b,a,b1,a1).
152 [binary,84.1,72.4,unit_del,83] -E(a,c,a1,x)| -E(b,c,b1,x).
156 [para_from,85.1.2,5.1.2] E(b1,c1,b,c).
157 [para_from,85.1.2,4.1.3] T(a1,b1,c1).
161 [para_from,86.1.2,5.1.2] E(a1,c2,a,c).
162 [para_from,86.1.2,4.1.3] T(b1,a1,c2).
164 [para_into,87.1.2,54.1.1] c3=ext(ext(b1,a1,alpha,gamma),a1,a,c).
1358 [binary,156.1,14.1] E(b,c,b1,c1).
1414 [binary,161.1,14.1] E(a,c,a1,c2).
1796 [binary,1358.1,100.2,unit_del,84] -E(a,c,a1,c1).
2073 [binary,1414.1,100.1,unit_del,84] -E(b,c,b1,c2).
2330 [ur,19,157,83,1358,1796] -T(a,b,c).
2398 [binary,2330.1,25.2] -T(c,b,a).
2693 [ur,19,162,107,1414,2073] -T(b,a,c).
2701 [binary,2693.1,73.4,unit_del,93,2398] T(a,c,b).
2729 [binary,2701.1,102.1,demod,90] T(a1,c3,b1).
2754 [binary,2701.1,25.1] T(b,c,a).
2983 [binary,2729.1,25.1] T(b1,c3,a1).
9490 [para_from,164.1.2,5.1.2] E(a1,c3,a,c).
9503 [binary,9490.1,22.1] E(c3,a1,c,a).
9511 [binary,9490.1,14.1] E(a,c,a1,c3).
9582 [binary,9503.1,14.1] E(c,a,c3,a1).
9839 [binary,9511.1,152.1] -E(b,c,b1,c3).
10340 [hyper,42,2754,2983,107,9582] E(b,c,b1,c3).
10341 [binary,10340.1,9839.1] $F.