Sindbad~EG File Manager

Length of proof is 39.  Level of proof is 8.
 
---------------- PROOF ----------------
 
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
46 [] -Col(xa,xb,xc)|Col(xb,xc,xa).
55 [] -FS(xa,xb,xc,xd,xa1,xb1,xc1,xd1)|xa=xb|E(xc,xd,xc1,xd1).
84 [] -sameside(xa,xp,xb)|Col(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).
106 [] -sameside(xa,xb,xc)| -sameside(xa1,xb1,xc1)| -E(xb,xa,xb1,xa1)| -E(xb,xc,xb1,xc1)|E(xa,xc,xa1,xc1).
113 [] s(xa,s(xa,xp))=xp.
114 [] s(xa,xp)!=xr|s(xa,xq)!=xr|xp=xq.
115 [] s(xa,xp)!=s(xa,xq)|xp=xq.
235 [] -congruent(xa,xb,xc,xd,xe,xf)|sameside(ext(xb,xa,xe,xd),xb,xa).
236 [] -congruent(xa,xb,xc,xd,xe,xf)|sameside(ext(xb,xc,xe,xf),xb,xc).
237 [] -congruent(xa,xb,xc,xd,xe,xf)|sameside(ext(xe,xd,xb,xa),xe,xd).
238 [] -congruent(xa,xb,xc,xd,xe,xf)|sameside(ext(xe,xf,xb,xc),xe,xf).
239 [] -congruent(xa,xb,xc,xd,xe,xf)|E3(ext(xb,xa,xe,xd),xb,ext(xb,xc,xe,xf),ext(xe,xd,xb,xa),xe,ext(xe,xf,xb,xc)).
263 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa1,xa2,xb1,xb2).
265 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa2,xa3,xb2,xb3).
266 [] -E(xa1,xa2,xb1,xb2)| -E(xa1,xa3,xb1,xb3)| -E(xa2,xa3,xb2,xb3)|E3(xa1,xa2,xa3,xb1,xb2,xb3).
275 [] -Col(xa,xb,xc)| -E3(xa,xb,xc,xa1,xb1,xc1)| -E(xa,xd,xa1,xd1)| -E(xb,xd,xb1,xd1)|FS(xa,xb,xc,xd,xa1,xb1,xc1,xd1).
279 [] -sameside(xa,xp,xb)|xa!=xp.
323 [] -congruent(xa,xb,xc,xd,xe,xf)|E(ext(xb,xc,xe,xf),ext(xb,xa,xe,xd),ext(xe,xf,xb,xc),ext(xe,xd,xb,xa)).
329 [] s(xa,s(xa,xp))=xp.
330 [] congruent(a,b,c,d,e,f).
331 [] sameside(a2,b,a).
332 [] sameside(c2,b,c).
333 [] sameside(d2,e,d).
334 [] sameside(f2,e,f).
335 [] E(b,a2,e,d2).
336 [] E(b,c2,e,f2).
337 [] -E(a2,c2,d2,f2).
342 [] ext(b,a,e,d)=a1.
343 [] ext(b,c,e,f)=c1.
344 [] ext(e,d,b,a)=d1.
345 [] ext(e,f,b,c)=f1.
390 [binary,330.1,323.1,demod,343,342,345,344] E(c1,a1,f1,d1).
391 [binary,330.1,239.1,demod,342,343,344,345] E3(a1,b,c1,d1,e,f1).
392 [binary,330.1,238.1,demod,345] sameside(f1,e,f).
393 [binary,330.1,237.1,demod,344] sameside(d1,e,d).
394 [binary,330.1,236.1,demod,343] sameside(c1,b,c).
395 [binary,330.1,235.1,demod,342] sameside(a1,b,a).
442 [binary,333.1,88.1] sameside(d,e,d2).
457 [binary,334.1,88.1] sameside(f,e,f2).
500 [binary,337.1,22.2] -E(c2,a2,f2,d2).
561 [binary,390.1,22.1] E(a1,c1,d1,f1).
574 [binary,391.1,265.1] E(b,c1,e,f1).
575 [binary,391.1,263.1] E(a1,b,d1,e).
645 [binary,394.1,279.1] c1!=b.
648 [binary,394.1,88.1] sameside(c,b,c1).
657 [binary,395.1,279.1] a1!=b.
660 [binary,395.1,88.1] sameside(a,b,a1).
678 [hyper,89,393,442] sameside(d1,e,d2).
734 [hyper,89,392,457] sameside(f1,e,f2).
815 [binary,575.1,22.1] E(b,a1,e,d1).
833 [binary,645.1,115.2] s(x,c1)!=s(x,b).
892 [hyper,89,332,648] sameside(c2,b,c1).
898 [binary,657.1,115.2] s(x,a1)!=s(x,b).
1038 [hyper,89,331,660] sameside(a2,b,a1).
1086 [ur,114,113,833,demod,329] b!=c1.
1094 [binary,892.1,88.1] sameside(c1,b,c2).
1096 [binary,892.1,84.1] Col(c2,b,c1).
1101 [ur,114,113,898,demod,329] b!=a1.
1109 [binary,1038.1,88.1] sameside(a1,b,a2).
1111 [binary,1038.1,84.1] Col(a2,b,a1).
1170 [ur,55,1086,500] -FS(b,c1,c2,a2,x,y,f2,d2).
1184 [hyper,106,1094,734,574,336] E(c1,c2,f1,f2).
1197 [binary,1096.1,46.1] Col(b,c1,c2).
1280 [hyper,106,1109,678,815,335] E(a1,a2,d1,d2).
1293 [binary,1111.1,46.1] Col(b,a1,a2).
1307 [hyper,266,574,336,1184] E3(b,c1,c2,e,f1,f2).
1352 [hyper,266,815,335,1280] E3(b,a1,a2,e,d1,d2).
1385 [ur,275,1197,1307,335,1170] -E(c1,a2,f1,d2).
1393 [hyper,275,1293,1352,574,561] FS(b,a1,a2,c1,e,d1,d2,f1).
1397 [binary,1385.1,22.2] -E(a2,c1,d2,f1).
1402 [binary,1393.1,55.1,unit_del,1101,1397] $F.