Sindbad~EG File Manager

Length of proof is 36.  Level of proof is 13.

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

23 [] -T(xa,xb,xc)|T(xc,xb,xa).
24 [] T(xa,xa,xb).
28 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
59 [] Col(xa,xb,xc)| -T(xa,xb,xc).
60 [] Col(xa,xb,xc)| -T(xb,xc,xa).
61 [] Col(xa,xb,xc)| -T(xc,xa,xb).
63 [] -Col(x,y,z)|Col(z,x,y).
64 [] -Col(x,y,z)|Col(z,y,x).
66 [] -Col(x,y,z)|Col(x,z,y).
67 [] Col(x,x,y).
99 [] -sameside(xa,xp,xb)|xb!=xp.
100 [] -sameside(xa,xp,xb)|T(xp,xa,xb)|T(xp,xb,xa).
101 [] xa=xb| -Col(xa,xb,xc)| -Col(xa,xb,xd)|Col(xa,xc,xd).
102 [] -Col(p,q,a).
103 [] Col(p,q,r).
104 [] sameside(a,r,b).
105 [] Col(p,q,b).
106 [binary,102.1,101.4] p=x| -Col(p,x,q)| -Col(p,x,a).
114 [binary,102.1,61.1] -T(a,p,q).
117 [ur,101,67,67,102] p=p.
122 [binary,103.1,66.1] Col(p,r,q).
130 [binary,104.1,100.1] T(r,a,b)|T(r,b,a).
131 [binary,104.1,99.1] b!=r.
136 [binary,105.1,66.1] Col(p,b,q).
142 [hyper,101,103,105] p=q|Col(p,r,b).
146 [binary,117.1,99.2] -sameside(x,p,p).
156 [binary,106.3,66.2] p=x| -Col(p,x,q)| -Col(p,a,x).
159 [binary,106.3,63.2] p=x| -Col(p,x,q)| -Col(x,a,p).
162 [binary,106.3,60.1] p=x| -Col(p,x,q)| -T(x,a,p).
163 [binary,106.3,59.1] p=x| -Col(p,x,q)| -T(p,x,a).
277 [ur,28,24,114] -T(p,a,p).
334 [binary,122.1,106.2] p=r| -Col(p,r,a).
785 [para_from,142.1.1,102.1.1,unit_del,67] Col(p,r,b).
803 [binary,785.1,64.1] Col(b,r,p).
1284 [binary,156.2,122.1] p=r| -Col(p,a,r).
1302 [binary,334.2,60.1] p=r| -T(r,a,p).
1539 [binary,159.2,136.1] p=b| -Col(b,a,p).
1695 [binary,162.2,136.1] p=b| -T(b,a,p).
1830 [binary,163.2,136.1] p=b| -T(p,b,a).
3474 [binary,1284.2,61.1] p=r| -T(r,p,a).
5149 [para_from,1302.1.1,277.1.1,factor_simp] -T(r,a,p).
6538 [para_from,1695.1.1,277.1.1,factor_simp] -T(b,a,p).
6550 [binary,6538.1,23.2] -T(p,a,b).
6637 [binary,1830.2,100.3,unit_del,6550] p=b| -sameside(a,p,b).
10459 [para_from,6637.1.1,146.1.3,factor_simp] -sameside(a,p,b).
10462 [para_into,10459.1.2,3474.1.1,unit_del,104] -T(r,p,a).
10509 [binary,10462.1,100.3,unit_del,5149] -sameside(a,r,p).
10925 [para_into,10509.1.3,1539.1.1,unit_del,104] -Col(b,a,p).
11122 [ur,101,131,803,10925] -Col(b,r,a).
11369 [binary,11122.1,66.2] -Col(b,a,r).
11375 [binary,11122.1,60.1] -T(r,a,b).
11420 [binary,11369.1,61.1] -T(r,b,a).
11648 [binary,11375.1,130.1] T(r,b,a).
11649 [binary,11648.1,11420.1] $F.