Sindbad~EG File Manager

Length of proof is 15.  Level of proof is 4.
 
---------------- PROOF ----------------
 
17 [] -E(xa,xb,xc,xd)|E(xa,xb,xd,xc).
21 [] -E(xb,xc,xa,xa)|xb=xc.
24 [] T(xa,xb,xb).
27 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
52 [] Col(xa,xb,xa).
69 [] -le(xa,xb,xc,xd)| -le(xc,xd,xa,xb)|E(xa,xb,xc,xd).
71 [] le(xa,xa,xc,xd).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
240 [] -sameside(xa1,xb,xa)| -sameside(xc1,xb,xc)| -sameside(xd1,xe,xd)| -sameside(xf1,xe,xf)| -E3(xa1,xb,xc1,xd1,xe,xf1)|congruent(xa,xb,xc,xd,xe,xf).
257 [] -congruent(xa,xb,xc,xa1,xb1,xc1)| -E(xb,xa,xb1,xa1)| -E(xb,xc,xb1,xc1)|E(xa,xc,xa1,xc1).
276 [] -E(xa1,xa2,xb1,xb2)| -E(xa1,xa3,xb1,xb3)| -E(xa2,xa3,xb2,xb3)|E3(xa1,xa2,xa3,xb1,xb2,xb3).
288 [] -T(xc,y,xd)| -E(xa,xb,xc,y)|le(xa,xb,xc,xd).
334 [] -congruent(xa,xb,xc,xd,xe,xf)|xa!=xb.
336 [] -congruent(xa,xb,xc,xd,xe,xf)|xd!=xe.
340 [] congruent(a,b,c,a1,b1,c1).
341 [] E(b,a,b1,a1).
342 [] E(b,c,b1,c1).
343 [] a!=c.
344 [] -congruent(b,a,c,b1,a1,c1).
361 [binary,340.1,336.1] a1!=b1.
363 [binary,340.1,334.1] a!=b.
364 [binary,340.1,257.1,unit_del,341,342] E(a,c,a1,c1).
426 [binary,343.1,21.2] -E(a,c,x,x).
454 [ur,27,24,343] -T(c,a,c).
555 [ur,27,24,361] -T(b1,a1,b1).
607 [ur,27,24,363] -T(b,a,b).
612 [binary,364.1,17.1] E(a,c,c1,a1).
616 [hyper,276,341,342,364] E3(b,a,c,b1,a1,c1).
631 [binary,426.1,69.3,unit_del,71] -le(a,c,x,x).
701 [binary,454.1,86.3,unit_del,52] sameside(c,a,c).
713 [binary,555.1,86.3,unit_del,52] sameside(b1,a1,b1).
725 [binary,607.1,86.3,unit_del,52] sameside(b,a,b).
751 [ur,288,612,631] -T(c1,a1,c1).
776 [ur,240,725,701,713,616,344] -sameside(c1,a1,c1).
781 [binary,751.1,86.3,unit_del,776,52] $F.