Sindbad~EG File Manager

Length of proof is 37.  Level of proof is 8.

---------------- PROOF ----------------

17 [] -E(x,y,x1,y1)| -E(y,z,y1,z1)| -E(x,v,x1,v1)| -E(y,v,y1,v1)| -T(x,y,z)| -T(x1,y1,z1)|x=y|E(z,v,z1,v1).
32 [] E(x,y,x,y).
34 [] -E(xa,xb,xc,xd)|E(xb,xa,xc,xd).
36 [] -E(xa,xb,xc,xd)|E(xa,xb,xd,xc).
37 [] E(x,x,y,y).
40 [] T(x,y,y).
41 [] -T(xa,xb,xc)|T(xc,xb,xa).
43 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
53 [] -T(xa,xb,xc)| -T(za,zb,zc)| -E(xa,xc,za,zc)| -E(xb,xc,zb,zc)| -E(xa,xd,za,zd)| -E(xc,xd,zc,zd)|E(xb,xd,zb,zd).
67 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa1,xa2,xb1,xb2).
68 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa1,xa3,xb1,xb3).
69 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa2,xa3,xb2,xb3).
77 [] Col(xa,xb,xc)| -T(xb,xc,xa).
104 [] -T(xa,xb,x)| -E(xa,x,xc,xd)|le(xa,xb,xc,xd).
105 [] -le(xa,xb,xc,xd)| -E(xa,xb,xa1,xb1)| -E(xc,xd,xc1,xd1)|le(xa1,xb1,xc1,xd1).
118 [] -sameside(xa,xp,xb)|xa!=xp.
119 [] -sameside(xa,xp,xb)|xb!=xp.
126 [] -Col(xa,xp,xb)|T(xa,xp,xb)|sameside(xa,xp,xb).
128 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
129 [] -sameside(xa,xp,xb)| -sameside(xb,xp,xc)|sameside(xa,xp,xc).
133 [] -sameside(xa,xp,xb)| -le(xp,xa,xp,xb)|T(xp,xa,xb).
318 [] sameside(a1,b,a).
319 [] sameside(c1,b,c).
320 [] sameside(d1,e,d).
321 [] sameside(f1,e,f).
322 [] E3(a1,b,c1,d1,e,f1).
325 [] sameside(d2,e,d).
326 [] sameside(f2,e,f).
327 [] E(b,a2,e,d2).
328 [] E(b,c2,e,f2).
329 [] -E(a2,c2,d2,f2).
330 [] T(b,a1,a2).
331 [] T(b,c1,c2).
335 [binary,36.1,34.2] E(x,y,z,u)| -E(y,x,u,z).
421 [binary,77.2,40.1] Col(x,y,x).
612 [binary,318.1,118.1] a1!=b.
631 [binary,319.1,118.1] c1!=b.
682 [binary,322.1,69.1] E(b,c1,e,f1).
683 [binary,322.1,68.1] E(a1,c1,d1,f1).
684 [binary,322.1,67.1] E(a1,b,d1,e).
717 [binary,325.1,128.1] sameside(d,e,d2).
732 [binary,326.1,128.1] sameside(f,e,f2).
789 [binary,330.1,41.1] T(a2,a1,b).
794 [hyper,104,330,327] le(b,a1,e,d2).
823 [binary,331.1,41.1] T(c2,c1,b).
828 [hyper,104,331,328] le(b,c1,e,f2).
842 [binary,335.1,329.1] -E(c2,a2,f2,d2).
843 [binary,335.2,328.1] E(c2,b,f2,e).
844 [binary,335.2,327.1] E(a2,b,d2,e).
891 [ur,43,40,612] -T(b,a1,b).
946 [ur,43,40,631] -T(b,c1,b).
949 [binary,682.1,335.2] E(c1,b,f1,e).
981 [binary,684.1,335.2] E(b,a1,e,d1).
1024 [hyper,129,320,717] sameside(d1,e,d2).
1034 [hyper,129,321,732] sameside(f1,e,f2).
1171 [hyper,105,828,682,32] le(e,f1,e,f2).
1238 [binary,891.1,126.2,unit_del,421] sameside(b,a1,b).
1264 [binary,946.1,126.2,unit_del,421] sameside(b,c1,b).
1304 [hyper,105,794,981,32] le(e,d1,e,d2).
1315 [binary,1024.1,133.1,unit_del,1304] T(e,d1,d2).
1331 [binary,1034.1,133.1,unit_del,1171] T(e,f1,f2).
1353 [binary,1238.1,119.1] b!=a1.
1364 [binary,1264.1,119.1] b!=c1.
1394 [binary,1315.1,41.1] T(d2,d1,e).
1431 [binary,1331.1,41.1] T(f2,f1,e).
1551 [hyper,53,789,1394,844,684,37,327] E(a1,a2,d1,d2).
1611 [hyper,53,823,1431,843,949,37,328] E(c1,c2,f1,f2).
1645 [hyper,17,981,1551,682,683,330,1315,unit_del,1353] E(a2,c1,d2,f1).
1681 [ur,17,682,1611,327,331,1331,1364,842] -E(c1,a2,f1,d2).
1682 [binary,1645.1,335.2] E(c1,a2,f1,d2).