Sindbad~EG File Manager

Length of proof is 42.  Level of proof is 11.

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

1 [] ss3(b1,b2,a1,a2)=c.
2 [] ss2(b1,b2,a1,a2)=e.
3 [] ss1(b1,b2,a1,a2)=f.
7 [] op(e,c,f,g2,b3)=p2.
11 [] -samesideline(xa,xb,xp,xq)|T(xa,ss1(xa,xb,xp,xq),ss3(xa,xb,xp,xq)).
12 [] -samesideline(xa,xb,xp,xq)|T(xb,ss2(xa,xb,xp,xq),ss3(xa,xb,xp,xq)).
13 [] -samesideline(xa,xb,xp,xq)|ss3(xa,xb,xp,xq)!=ss1(xa,xb,xp,xq).
14 [] -samesideline(xa,xb,xp,xq)|ss3(xa,xb,xp,xq)!=ss2(xa,xb,xp,xq).
15 [] -samesideline(xa,xb,xp,xq)|Col(xp,xq,ss1(xa,xb,xp,xq)).
16 [] -samesideline(xa,xb,xp,xq)|Col(xp,xq,ss2(xa,xb,xp,xq)).
17 [] -T(xa,xb,xc)|T(xc,xb,xa).
39 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xq,ip(xa,xp,xc,xb,xq),xa).
52 [] -T(xa,xb,xc)|T(xc,xb,xa).
55 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xb,xc).
57 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
60 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xa,xb,xd).
61 [] -T(xa,xb,xc)| -T(xb,xc,xd)|xb=xc|T(xa,xc,xd).
62 [] -T(xa,xb,xc)| -T(xb,xc,xd)|xb=xc|T(xa,xb,xd).
86 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
87 [] Col(xa,xb,xc)| -T(xa,xb,xc).
88 [] Col(xa,xb,xc)| -T(xb,xc,xa).
89 [] Col(xa,xb,xc)| -T(xc,xa,xb).
94 [] -Col(x,y,z)|Col(x,z,y).
107 [] xa=xb| -T(xa,xb,xc)| -T(xa,xb,xd)|T(xa,xc,xd)|T(xa,xd,xc).
108 [] xa=xb| -T(xa,xb,xc)| -T(xa,xb,xd)|T(xb,xc,xd)|T(xb,xd,xc).
237 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
252 [] -T(xa,xc,xp)| -T(xb,xq,xc)|T(xa,op(xq,xb,xp,xc,xa),xb).
253 [] -T(xa,xc,xp)| -T(xb,xq,xc)|T(xp,xq,op(xq,xb,xp,xc,xa)).
254 [] -T(xa,xu,xc)| -T(xb,xv,xc)| -Col(xp,xq,xu)| -Col(xp,xq,xv)|xp=xq|xc=xu|xc=xv|xa=xu|xb=xv|Col(xp,xq,xa)|Col(xp,xq,xb)|samesideline(xa,xb,xp,xq).
259 [] -samesideline(xa,xb,xp,xq)|xa!=ss1(xa,xb,xp,xq).
264 [] -samesideline(xa,xb,xp,xq)| -Col(xp,xq,xa).
314 [] -parallel(xA,yA,xB,yB)|samesideline(xB,yB,xA,yA).
315 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
364 [] parallel(a1,a2,b1,b2).
365 [] a1!=a2.
367 [] T(b1,b2,b3).
368 [] -samesideline(b1,b3,a1,a2).
369 [] T(e,g2,b2).
372 [] f=ss1(b1,b2,a1,a2).
375 [] g2=ip(b3,b2,b1,c,f).
380 [] e=f|e!=f.
382 [] b3=p2|b3!=p2.
384 [binary,364.1,314.1] samesideline(b1,b2,a1,a2).
385 (heat=1) [binary,384.1,16.1,demod,2] Col(a1,a2,e).
386 (heat=1) [binary,384.1,15.1,demod,3] Col(a1,a2,f).
387 (heat=1) [binary,384.1,14.1,demod,1,2] c!=e.
388 (heat=1) [binary,384.1,13.1,demod,1,3] c!=f.
389 (heat=1) [binary,384.1,12.1,demod,2,1] T(b2,e,c).
390 (heat=1) [binary,384.1,11.1,demod,3,1] T(b1,f,c).
393 (heat=2) [binary,389.1,17.1] T(c,e,b2).
396 (heat=2) [binary,390.1,17.1] T(c,f,b1).
430 [binary,367.1,87.2] Col(b1,b2,b3).
433 [binary,367.1,52.1] T(b3,b2,b1).
528 [para_from,372.1.2,259.2.2,unit_del,384] b1!=f.
554 [para_from,375.1.2,39.3.2,unit_del,433,396] T(f,g2,b3).
556 (heat=1) [binary,554.1,17.1] T(b3,g2,f).
595 [binary,384.1,264.1] -Col(a1,a2,b1).
666 [ur,315,364,386] -Col(b1,b2,f).
887 [hyper,55,393,369] T(c,e,g2).
972 [ur,315,364,430] -Col(a1,a2,b3).
1175 [binary,666.1,89.1] -T(f,b1,b2).
1176 [binary,666.1,88.1] -T(b2,f,b1).
1177 [binary,666.1,87.1] -T(b1,b2,f).
1188 (heat=1) [binary,1177.1,17.2] -T(f,b2,b1).
1217 [hyper,253,556,887,demod,7] T(f,e,p2).
1218 [hyper,252,556,887,demod,7] T(b3,p2,c).
1339 [ur,61,396,388,1176] -T(b2,c,f).
1341 [ur,57,396,1176] -T(c,b2,f).
1348 (heat=1) [binary,1339.1,17.2] -T(f,c,b2).
1406 [ur,108,388,396,1175,1188] -T(c,f,b2).
1419 (heat=1) [para_into,1406.1.2,380.1.2,unit_del,393] e!=f.
1424 [binary,1217.1,89.2] Col(e,p2,f).
1591 [ur,62,393,387,1348] -T(f,c,e).
1592 (heat=1) [binary,1591.1,17.2] -T(e,c,f).
1600 [ur,107,387,393,1341,1406] -T(c,e,f).
1613 [ur,60,393,1406] -T(c,f,e).
1617 (heat=1) [binary,1600.1,17.2] -T(f,e,c).
1649 [ur,237,365,1419,385,386,972] -Col(e,f,b3).
1685 [binary,1424.1,94.1] Col(e,f,p2).
1689 (heat=1) [para_into,1685.1.3,382.1.2,unit_del,1649] b3!=p2.
1739 [binary,1592.1,86.2,unit_del,1613,1617] -Col(e,c,f).
1886 [hyper,237,385,386,1685,unit_del,365,1419] Col(a1,a2,p2).
1973 [hyper,254,390,1218,386,1886,unit_del,365,388,528,1689,595,972,368] c=p2.
2026 [para_from,1973.1.1,1739.1.2] -Col(e,p2,f).
2027 [binary,2026.1,1424.1] $F.