Sindbad~EG File Manager

Length of proof is 22.  Level of proof is 7.

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

7 [] -T(x,y,x)|x=y.
13 [] E(xa,xb,xa,xb).
18 [] E(xa,xa,xb,xb).
26 [] T(xa1,xa1,xb1).
84 [] -sameside(xa,xp,xb)| -T(xa,xp,xb).
85 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
87 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
107 [] M(xa,xm,xa)|xm!=xa.
117 [] -T(xp,xq,xr)|T(s(xa,xp),s(xa,xq),s(xa,xr)).
118 [] T(xp,xq,xr)| -T(s(xa,xp),s(xa,xq),s(xa,xr)).
128 [] -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)|T(xm1,xc,xm2).
209 [] Col(xa,xb,xc)| -T(xb,xc,xa).
219 [] -sameside(xa,xp,xb)|xa!=xp.
221 [] -sameside(xa,xp,xb)|T(xp,xa,xb)|T(xp,xb,xa).
223 [] -T(xp,xb,xa)|xb=xp|xp=xa|sameside(xa,xp,xb).
224 [] -M(xa,xm,xb)|T(xa,xm,xb).
264 [] sameside(a,b,c).
265 [] -sameside(s(m,a),s(m,b),s(m,c)).
266 [] a1=s(m,a).
269 [] s(m,a)=a1.
270 [] s(m,b)=b1.
271 [] s(m,c)=c1.
272 [binary,264.1,221.1] T(b,a,c)|T(b,c,a).
274 [binary,264.1,219.1] a!=b.
281 [binary,264.1,87.1] sameside(c,b,a).
328 [binary,265.1,87.2,demod,271,270,269] -sameside(c1,b1,a1).
343 [binary,266.1,107.2,demod,269,269] M(a1,a1,a1).
347 [para_from,266.1.2,265.1.1,demod,270,271] -sameside(a1,b1,c1).
366 [para_from,266.1.2,118.2.3] T(x,y,a)| -T(s(m,x),s(m,y),a1).
367 [para_from,266.1.2,117.2.3] -T(x,y,a)|T(s(m,x),s(m,y),a1).
369 [para_from,266.1.2,117.2.2] -T(x,a,y)|T(s(m,x),a1,s(m,y)).
807 [binary,274.1,7.2] -T(a,b,a).
905 [binary,281.1,84.1] -T(c,b,a).
13976 [binary,366.1,905.1,demod,271,270] -T(c1,b1,a1).
13977 [binary,366.1,807.1,demod,269,270] -T(a1,b1,a1).
14053 [binary,13976.1,85.3,unit_del,328] -Col(c1,b1,a1).
14065 [ur,128,26,26,18,13,343,13976] -M(b1,c1,b1).
14106 [binary,13977.1,224.2] -M(a1,b1,a1).
14168 [binary,14053.1,209.1] -T(b1,a1,c1).
14335 [binary,14065.1,107.1] c1!=b1.
14793 [binary,369.1,272.1,demod,270,271,unit_del,14168] T(b,c,a).
14894 [binary,14106.1,107.1] b1!=a1.
14960 [ur,223,14335,14894,347] -T(b1,c1,a1).
17465 [binary,14793.1,367.1,demod,270,271] T(b1,c1,a1).
17466 [binary,17465.1,14960.1] $F.