Sindbad~EG File Manager

Length of proof is 31.  Level of proof is 12.

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

1 [] ss3(b1,b2,a1,a2)=c.
2 [] ss2(b1,b2,a1,a2)=e.
3 [] ss1(b1,b2,a1,a2)=f.
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).
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(xp,ip(xa,xp,xc,xb,xq),xb).
40 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xq,ip(xa,xp,xc,xb,xq),xa).
53 [] -T(xa,xb,xc)|T(xc,xb,xa).
58 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
88 [] Col(xa,xb,xc)| -T(xa,xb,xc).
90 [] Col(xa,xb,xc)| -T(xc,xa,xb).
94 [] -Col(x,y,z)|Col(y,x,z).
109 [] xa=xb| -T(xa,xb,xc)| -T(xa,xb,xd)|T(xb,xc,xd)|T(xb,xd,xc).
110 [] -T(xa,xb,xd)| -T(xa,xc,xd)|T(xa,xb,xc)|T(xa,xc,xb).
251 [] -T(xa,xc,xp)| -T(xb,xq,xc)|T(xa,op(xq,xb,xp,xc,xa),xb).
252 [] -T(xa,xc,xp)| -T(xb,xq,xc)|T(xp,xq,op(xq,xb,xp,xc,xa)).
310 [] -parallel(xA,yA,xB,yB)|samesideline(xB,yB,xA,yA).
311 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
318 [] -Col(xa,xb,u)| -Col(xa,xb,v)|xa=xb|u=v| -Col(u,v,z)|Col(xa,xb,z).
350 [] parallel(a1,a2,b1,b2).
351 [] a1!=a2.
353 [] T(b1,b2,b3).
355 [] -T(e,g2,b2).
361 [] g2=ip(b3,b2,b1,c,f).
365 [] h=op(e,b2,f,g2,b3).
366 [] e=f|e!=f.
370 [binary,350.1,310.1] samesideline(b1,b2,a1,a2).
371 (heat=1) [binary,370.1,16.1,demod,2] Col(a1,a2,e).
372 (heat=1) [binary,370.1,15.1,demod,3] Col(a1,a2,f).
374 (heat=1) [binary,370.1,13.1,demod,1,3] c!=f.
375 (heat=1) [binary,370.1,12.1,demod,2,1] T(b2,e,c).
376 (heat=1) [binary,370.1,11.1,demod,3,1] T(b1,f,c).
379 (heat=2) [binary,375.1,17.1] T(c,e,b2).
382 (heat=2) [binary,376.1,17.1] T(c,f,b1).
419 [binary,353.1,53.1] T(b3,b2,b1).
455 [binary,355.1,53.2] -T(b2,g2,e).
524 [para_from,361.1.2,40.3.2,unit_del,419,382] T(f,g2,b3).
525 [para_from,361.1.2,39.3.2,unit_del,419,382] T(b2,g2,c).
526 (heat=1) [binary,524.1,17.1] T(b3,g2,f).
556 [para_from,365.1.2,252.3.3,unit_del,526] -T(b2,e,g2)|T(f,e,h).
557 [para_from,365.1.2,251.3.2,unit_del,526] -T(b2,e,g2)|T(b3,h,b2).
625 [ur,311,350,372] -Col(b1,b2,f).
1036 [hyper,110,375,525,unit_del,455] T(b2,e,g2).
1045 (heat=1) [binary,1036.1,17.1] T(g2,e,b2).
1113 [binary,556.2,88.2,unit_del,1036] Col(f,e,h).
1140 [binary,557.1,53.2,unit_del,1045] T(b3,h,b2).
1163 [binary,625.1,90.1] -T(f,b1,b2).
1165 [binary,625.1,88.1] -T(b1,b2,f).
1176 (heat=1) [binary,1165.1,17.2] -T(f,b2,b1).
1286 [binary,1113.1,94.1] Col(e,f,h).
1322 [hyper,58,1140,419] T(h,b2,b1).
1336 (heat=1) [binary,1322.1,17.1] T(b1,b2,h).
1430 [ur,109,374,382,1163,1176] -T(c,f,b2).
1446 (heat=1) [para_into,1430.1.2,366.1.2,unit_del,379] e!=f.
1491 [binary,1336.1,88.2] Col(b1,b2,h).
1605 [ur,311,350,1491] -Col(a1,a2,h).
1622 [ur,318,371,372,351,1446,1605] -Col(e,f,h).
1623 [binary,1622.1,1286.1] $F.