Sindbad~EG File Manager

Length of proof is 11.  Level of proof is 5.
 
---------------- PROOF ----------------
 
1 [] E(x,y,y,x).
13 [] E(xa,xb,xa,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
66 [] -le(xa,xb,xc,xd)| -E(xa,xb,xa1,xb1)| -E(xc,xd,xc1,xd1)|le(xa1,xb1,xc1,xd1).
69 [] -le(xa,xb,xc,xd)| -le(xc,xd,xa,xb)|E(xa,xb,xc,xd).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
87 [] xa=xp|sameside(xa,xp,xa).
92 [] xr=xa|xb=xc| -sameside(xp,xa,xr)| -E(xa,xp,xb,xc)| -sameside(xq,xa,xr)| -E(xa,xq,xb,xc)|xp=xq.
115 [] Col(xa,xb,xc)| -T(xc,xa,xb).
123 [] -T(xc,y,xd)| -E(xa,xb,xc,y)|le(xa,xb,xc,xd).
124 [] -sameside(xa,xp,xb)|xa!=xp.
125 [] -sameside(xa,xp,xb)|xb!=xp.
126 [] -sameside(xa,xp,xb)|T(xp,xa,xb)|T(xp,xb,xa).
129 [] sameside(a,p,b).
130 [] le(p,a,p,b).
131 [] -T(p,a,b).
132 [binary,129.1,126.1,unit_del,131] T(p,b,a).
133 [binary,129.1,125.1] b!=p.
135 [binary,129.1,92.5,unit_del,133] x=y| -sameside(z,p,b)| -E(p,z,x,y)| -E(p,a,x,y)|z=a.
154 [hyper,125,129,87] sameside(b,p,b).
181 [hyper,66,130,13,1] le(p,a,b,p).
196 [binary,131.1,25.2] -T(b,a,p).
359 [binary,132.1,115.2] Col(b,a,p).
408 [hyper,123,132,1] le(b,p,p,a).
638 [binary,196.1,86.3,unit_del,359] sameside(b,a,p).
1336 [binary,638.1,124.1] b!=a.
1505 [ur,135,133,154,1,1336] -E(p,a,b,p).
1904 [binary,181.1,69.1,unit_del,408,1505] $F.