Sindbad~EG File Manager

Length of proof is 24.  Level of proof is 7.

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

1 [] e5(a1,a2,b2,b1)=c.
49 [] T(xa,xb,ext(xa,xb,alpha,gamma)).
50 [] xb!=ext(xa,xb,alpha,gamma).
70 [] -Col(x,y,z)|Col(y,z,x).
73 [] -Col(x,y,z)|Col(y,x,z).
115 [] -sameside(xa,xp,xb)|Col(xa,xp,xb).
118 [] xa=xp|sameside(xa,xp,xa).
129 [] xp=xq|xp=xr| -T(xq,xp,xr)|xa!=xp|Col(xa,xp,xq).
232 [] -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).
233 [] -samesideline(xa,xb,xp,xq)|Col(xp,xq,ss1(xa,xb,xp,xq)).
234 [] -samesideline(xa,xb,xp,xq)|Col(xp,xq,ss2(xa,xb,xp,xq)).
235 [] -samesideline(xa,xb,xp,xq)|T(xa,ss1(xa,xb,xp,xq),ss3(xa,xb,xp,xq)).
236 [] -samesideline(xa,xb,xp,xq)|T(xb,ss2(xa,xb,xp,xq),ss3(xa,xb,xp,xq)).
237 [] -samesideline(xa,xb,xp,xq)|xa!=ss1(xa,xb,xp,xq).
238 [] -samesideline(xa,xb,xp,xq)|xb!=ss2(xa,xb,xp,xq).
239 [] -samesideline(xa,xb,xp,xq)|ss3(xa,xb,xp,xq)!=ss1(xa,xb,xp,xq).
240 [] -samesideline(xa,xb,xp,xq)|ss3(xa,xb,xp,xq)!=ss2(xa,xb,xp,xq).
242 [] -samesideline(xa,xb,xp,xq)| -Col(xp,xq,xa).
243 [] -samesideline(xa,xb,xp,xq)| -Col(xp,xq,xb).
290 [] -parallel(xA,yA,xB,yB)|xA!=yA.
292 [] -parallel(xA,yA,xB,yB)|samesideline(xB,yB,xA,yA).
293 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
294 [] xA=yA|xB=yB|parallel(xA,yA,xB,yB)|Col(xA,yA,e5(xA,yA,xB,yB))| -samesideline(xB,yB,xA,yA).
295 [] xA=yA|xB=yB|parallel(xA,yA,xB,yB)|Col(xB,yB,e5(xA,yA,xB,yB))| -samesideline(xB,yB,xA,yA).
326 [] parallel(a1,a2,b1,b2).
327 [] -parallel(a1,a2,b2,b1).
330 [binary,326.1,292.1] samesideline(b1,b2,a1,a2).
332 [binary,326.1,290.1] a1!=a2.
334 [hyper,290,326,118] sameside(a1,a2,a1).
340 [binary,330.1,243.1] -Col(a1,a2,b2).
341 [binary,330.1,242.1] -Col(a1,a2,b1).
342 [binary,330.1,240.1] ss3(b1,b2,a1,a2)!=ss2(b1,b2,a1,a2).
343 [binary,330.1,239.1] ss3(b1,b2,a1,a2)!=ss1(b1,b2,a1,a2).
344 [binary,330.1,238.1] b2!=ss2(b1,b2,a1,a2).
345 [binary,330.1,237.1] b1!=ss1(b1,b2,a1,a2).
346 [binary,330.1,236.1] T(b2,ss2(b1,b2,a1,a2),ss3(b1,b2,a1,a2)).
347 [binary,330.1,235.1] T(b1,ss1(b1,b2,a1,a2),ss3(b1,b2,a1,a2)).
348 [binary,330.1,234.1] Col(a1,a2,ss2(b1,b2,a1,a2)).
349 [binary,330.1,233.1] Col(a1,a2,ss1(b1,b2,a1,a2)).
444 [binary,334.1,115.1] Col(a1,a2,a1).
482 [binary,341.1,70.2] -Col(b1,a1,a2).
696 [hyper,232,346,347,348,349,unit_del,332,342,343,344,345,340,341] samesideline(b2,b1,a1,a2).
736 [ur,293,326,444] -Col(b1,b2,a1).
753 [ur,129,332,50,49,482] b1!=a1.
785 [binary,736.1,73.2] -Col(b2,b1,a1).
940 [ur,129,753,50,49,785] b2!=b1.
961 [ur,295,332,940,327,696,demod,1] Col(b2,b1,c).
962 [ur,294,332,940,327,696,demod,1] Col(a1,a2,c).
1050 [binary,961.1,73.1] Col(b1,b2,c).
1274 [ur,293,326,962] -Col(b1,b2,c).
1275 [binary,1274.1,1050.1] $F.