Sindbad~EG File Manager

Length of proof is 12.  Level of proof is 3.
 
---------------- PROOF ----------------
 
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
70 [] le(xa,xb,xc,xd)|le(xc,xd,xa,xb).
128 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|T(xm1,xc,xm2)| -le(xc,xa1,xc,xa2).
168 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|T(xa1,xc,xa2).
169 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|T(xb1,xc,xb2).
170 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|E(xc,xa1,xc,xb1).
171 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|E(xc,xa2,xc,xb2).
172 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|M(xa1,xm1,xb1).
173 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|M(xa2,xm2,xb2).
174 [] -T(xa1,xc,xa2)| -T(xb1,xc,xb2)| -E(xc,xa1,xc,xb1)| -E(xc,xa2,xc,xb2)| -M(xa1,xm1,xb1)| -M(xa2,xm2,xb2)|KF(xa1,xm1,xb1,xc,xb2,xm2,xa2).
176 [] KF(a1,m1,b1,c,b2,m2,a2).
177 [] -T(m1,c,m2).
178 [binary,176.1,173.1] M(a2,m2,b2).
179 [binary,176.1,172.1] M(a1,m1,b1).
180 [binary,176.1,171.1] E(c,a2,c,b2).
181 [binary,176.1,170.1] E(c,a1,c,b1).
182 [binary,176.1,169.1] T(b1,c,b2).
183 [binary,176.1,168.1] T(a1,c,a2).
185 [hyper,128,176,70,unit_del,177] le(c,a2,c,a1).
211 [binary,177.1,25.2] -T(m2,c,m1).
325 [binary,182.1,25.1] T(b2,c,b1).
572 [binary,183.1,25.1] T(a2,c,a1).
1177 [ur,128,211,185] -KF(a2,m2,x,c,y,m1,a1).
2027 [hyper,174,572,325,180,181,178,179] KF(a2,m2,b2,c,b1,m1,a1).
2028 [binary,2027.1,1177.1] $F.