Sindbad~EG File Manager

Length of proof is 34.  Level of proof is 9.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
14 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
15 [] -E(xa,xb,xc,xd)| -E(xc,xd,xe,xf)|E(xa,xb,xe,xf).
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
87 [] xa=xp|sameside(xa,xp,xa).
90 [] xr=xa|xb=xc|sameside(insert(xb,xc,xa,xr),xa,xr).
91 [] xr=xa|xb=xc|E(xa,insert(xb,xc,xa,xr),xb,xc).
109 [] M(xa,xm,xa)|xm!=xa.
240 [] -sameside(xa1,xb,xa)| -sameside(xc1,xb,xc)| -sameside(xd1,xe,xd)| -sameside(xf1,xe,xf)| -E3(xa1,xb,xc1,xd1,xe,xf1)|congruent(xa,xb,xc,xd,xe,xf).
248 [] -congruent(xa,xb,xc,xd,xe,xf)| -sameside(xa2,xb,xa)| -sameside(xc2,xb,xc)| -sameside(xd2,xe,xd)| -sameside(xf2,xe,xf)| -E(xb,xa2,xe,xd2)| -E(xb,xc2,xe,xf2)|E(xa2,xc2,xd2,xf2).
270 [] -E(xa1,xa2,xb1,xb2)| -E(xa1,xa3,xb1,xb3)| -E(xa2,xa3,xb2,xb3)|E3(xa1,xa2,xa3,xb1,xb2,xb3).
288 [] -M(xa,xm,xb)|T(xa,xm,xb).
328 [] -congruent(xa,xb,xc,xd,xe,xf)|xa!=xb.
329 [] -congruent(xa,xb,xc,xd,xe,xf)|xc!=xb.
330 [] -congruent(xa,xb,xc,xd,xe,xf)|xd!=xe.
331 [] -congruent(xa,xb,xc,xd,xe,xf)|xf!=xe.
334 [] congruent(a1,b1,c1,a2,b2,c2).
335 [] congruent(a2,b2,c2,a3,b3,c3).
336 [] -congruent(a1,b1,c1,a3,b3,c3).
341 [] insert(b1,a1,b2,a2)=p2.
342 [] insert(b1,c1,b2,c2)=q2.
343 [] insert(b1,a1,b3,a3)=p3.
344 [] insert(b1,c1,b3,c3)=q3.
379 [binary,334.1,331.1] c2!=b2.
380 [binary,334.1,330.1] a2!=b2.
381 [binary,334.1,329.1] c1!=b1.
382 [binary,334.1,328.1] a1!=b1.
396 [hyper,329,334,87] sameside(c1,b1,c1).
399 [hyper,328,334,87] sameside(a1,b1,a1).
400 [binary,335.1,331.1] c3!=b3.
401 [binary,335.1,330.1] a3!=b3.
572 [binary,381.1,7.2] -T(c1,b1,c1).
622 [binary,382.1,7.2] -T(a1,b1,a1).
797 [binary,572.1,288.2] -M(c1,b1,c1).
810 [binary,622.1,288.2] -M(a1,b1,a1).
822 [binary,797.1,109.1] b1!=c1.
825 [binary,810.1,109.1] b1!=a1.
861 [ur,91,400,822,demod,344] E(b3,q3,b1,c1).
862 [ur,91,379,822,demod,342] E(b2,q2,b1,c1).
865 [ur,90,400,822,demod,344] sameside(q3,b3,c3).
869 [ur,90,379,822,demod,342] sameside(q2,b2,c2).
917 [ur,91,401,825,demod,343] E(b3,p3,b1,a1).
918 [ur,91,380,825,demod,341] E(b2,p2,b1,a1).
921 [ur,90,401,825,demod,343] sameside(p3,b3,a3).
925 [ur,90,380,825,demod,341] sameside(p2,b2,a2).
945 [binary,861.1,14.1] E(b1,c1,b3,q3).
960 [binary,862.1,14.1] E(b1,c1,b2,q2).
1005 [binary,917.1,14.1] E(b1,a1,b3,p3).
1022 [binary,918.1,14.1] E(b1,a1,b2,p2).
1053 [ur,240,399,396,921,865,336] -E3(a1,b1,c1,p3,b3,q3).
1076 [hyper,15,862,945] E(b2,q2,b3,q3).
1092 [binary,1005.1,22.1] E(a1,b1,p3,b3).
1100 [hyper,15,918,1005] E(b2,p2,b3,p3).
1105 [hyper,248,334,399,396,925,869,1022,960] E(a1,c1,p2,q2).
1113 [binary,1053.1,270.4,unit_del,1092,945] -E(a1,c1,p3,q3).
1150 [hyper,248,335,925,869,921,865,1100,1076] E(p2,q2,p3,q3).
1185 [hyper,15,1105,1150] E(a1,c1,p3,q3).
1186 [binary,1185.1,1113.1] $F.