Sindbad~EG File Manager
Length of proof is 35. Level of proof is 10.
---------------- 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).
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).
38 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xp,ip(xa,xp,xc,xb,xq),xb).
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).
56 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xc,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).
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).
108 [] xa=xb| -T(xa,xb,xc)| -T(xa,xb,xd)|T(xb,xc,xd)|T(xb,xd,xc).
252 [] -T(xa,xu,xc)| -T(xb,xv,xc)| -Col(xp,xq,xu)| -Col(xp,xq,xv)|xc=xu|xc=xv|xa=xu|xb=xv|samesideline(xa,xb,xp,xq).
257 [] -samesideline(xa,xb,xp,xq)|xa!=ss1(xa,xb,xp,xq).
309 [] -parallel(xA,yA,xB,yB)|samesideline(xB,yB,xA,yA).
310 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
319 [] xa=xb|xp=xq| -Col(xa,xb,xp)| -Col(xa,xb,xq)| -Col(xp,xq,xt)|Col(xa,xb,xt).
355 [] parallel(a1,a2,b1,b2).
356 [] a1!=a2.
358 [] T(b1,b3,b2).
359 [] -samesideline(b1,b3,a1,a2).
362 [] f=ss1(b1,b2,a1,a2).
363 [] g=ip(c,f,b1,b2,b3).
364 [] p=ip(c,e,b2,f,g).
365 [] e=f|e!=f.
366 [] c=p|c!=p.
368 [binary,355.1,309.1] samesideline(b1,b2,a1,a2).
369 (heat=1) [binary,368.1,16.1,demod,2] Col(a1,a2,e).
370 (heat=1) [binary,368.1,15.1,demod,3] Col(a1,a2,f).
371 (heat=1) [binary,368.1,14.1,demod,1,2] c!=e.
372 (heat=1) [binary,368.1,13.1,demod,1,3] c!=f.
373 (heat=1) [binary,368.1,12.1,demod,2,1] T(b2,e,c).
374 (heat=1) [binary,368.1,11.1,demod,3,1] T(b1,f,c).
377 (heat=2) [binary,373.1,17.1] T(c,e,b2).
380 (heat=2) [binary,374.1,17.1] T(c,f,b1).
414 [binary,358.1,87.2] Col(b1,b3,b2).
417 [binary,358.1,52.1] T(b2,b3,b1).
459 [para_from,362.1.2,257.2.2,unit_del,368] b1!=f.
462 [para_from,363.1.2,39.3.2,unit_del,380,417] T(b3,g,c).
463 [para_from,363.1.2,38.3.2,unit_del,380,417] T(f,g,b2).
476 [para_from,364.1.2,39.3.2,unit_del,377,463] T(g,p,c).
477 [para_from,364.1.2,38.3.2,unit_del,377,463] T(e,p,f).
479 (heat=1) [binary,477.1,17.1] T(f,p,e).
551 [ur,310,355,370] -Col(b1,b2,f).
1018 [hyper,56,462,476] T(b3,p,c).
1101 [binary,479.1,88.2] Col(e,f,p).
1141 [binary,551.1,89.1] -T(f,b1,b2).
1142 [binary,551.1,88.1] -T(b2,f,b1).
1143 [binary,551.1,87.1] -T(b1,b2,f).
1154 (heat=1) [binary,1143.1,17.2] -T(f,b2,b1).
1276 [ur,61,380,372,1142] -T(b2,c,f).
1287 (heat=1) [binary,1276.1,17.2] -T(f,c,b2).
1332 [ur,108,372,380,1141,1154] -T(c,f,b2).
1347 (heat=1) [para_into,1332.1.2,365.1.2,unit_del,377] e!=f.
1415 [ur,62,377,371,1287] -T(f,c,e).
1419 (heat=1) [para_into,1415.1.2,366.1.1,unit_del,479] c!=p.
1448 [ur,319,356,1347,369,370,1101] Col(a1,a2,p).
1603 [hyper,252,374,1018,370,1448,unit_del,372,1419,459,359] b3=p.
1624 [ur,310,355,1448] -Col(b1,b2,p).
1635 [para_from,1603.1.1,414.1.2] Col(b1,p,b2).
1648 [binary,1624.1,94.2] -Col(b1,p,b2).
1649 [binary,1648.1,1635.1] $F.
Sindbad File Manager Version 1.0, Coded By Sindbad EG ~ The Terrorists