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Length of proof is 49. Level of proof is 11.
---------------- PROOF ----------------
10 [] Col(xa,xb,xc)| -T(xa,xb,xc).
12 [] Col(xa,xb,xc)| -T(xc,xa,xb).
13 [] ip(t,b,c1,c,a)=d.
32 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xp,ip(xa,xp,xc,xb,xq),xb).
45 [] T(x,y,y).
46 [] -T(xa,xb,xc)|T(xc,xb,xa).
48 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
81 [] Col(xa,xb,xc)| -T(xa,xb,xc).
87 [] -Col(x,y,z)|Col(y,x,z).
90 [] Col(x,y,x).
125 [] -sameside(xa,xp,xb)|xb!=xp.
132 [] -Col(xa,xp,xb)|T(xa,xp,xb)|sameside(xa,xp,xb).
145 [] -M(xa,xm,xb)|T(xa,xm,xb).
150 [] -M(xa,xm,xa)|xm=xa.
152 [] M(x,xa,s(xa,x)).
154 [] s(x,s(x,y))=y.
157 [] s(xa,xp)!=xp|xp=xa.
158 [] xp!=xa|s(xa,xp)=xp.
232 [] xa=xb|xp=xq| -Col(xa,xb,xp)| -Col(xa,xb,xq)| -Col(xa,xb,xt)|Col(xp,xq,xt).
233 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
309 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
317 [] -parallel(xt,xq,xr,xs)| -parallel(xt,xq,xp1,xp2)| -Col(xr,xs,xa)| -Col(xp1,xp2,xa)|Col(xt,xq,xa)|T(c1211(xt,xq,xr,xs,xp1,xp2,xa),b1211(xt,xq,xr,xs,xp1,xp2,xa),xt).
318 [] -parallel(xt,xq,xr,xs)| -parallel(xt,xq,xp1,xp2)| -Col(xr,xs,a)| -Col(xp1,xp2,xa)|Col(xt,xq,xa)|Col(xp1,xp2,c1211(xt,xq,xr,xs,xp1,xp2,xa)).
319 [] -parallel(xt,xq,xr,xs)| -parallel(xt,xq,xp1,xp2)| -Col(xr,xs,xa)| -Col(xp1,xp2,xa)|Col(xt,xq,xa)|xa!=c1211(xt,xq,xr,xs,xp1,xp2,xa).
320 [] -parallel(xt,xq,xr,xs)| -parallel(xt,xq,xp1,xp2)| -Col(xr,xs,xa)| -Col(xp1,xp2,xa)|Col(xt,xq,xa)|Col(xr,xs,b1211(xt,xq,xr,xs,xp1,xp2,xa)).
440 [] x=x.
442 [] -Col(t,q,a).
443 [] r!=cs.
444 [] Col(r,cs,a).
445 [] p1!=p2.
446 [] Col(p1,p2,a).
447 [] -Col(r,cs,p1)| -Col(r,cs,p2).
448 [] parallel(t,q,r,cs).
449 [] parallel(t,q,p1,p2).
450 [] b=b1211(t,q,r,cs,p1,p2,a).
451 [] c1=c1211(t,q,r,cs,p1,p2,a).
452 [] c=s(a,c1).
456 [] a=d.
457 [] a=b|a!=b.
458 [] a=d|a!=d.
559 [ur,48,45,443] -T(cs,r,cs).
570 [binary,444.1,87.1] Col(cs,r,a).
689 [ur,48,45,445] -T(p2,p1,p2).
700 [binary,446.1,87.1] Col(p2,p1,a).
797 [binary,447.1,87.2] -Col(r,cs,p2)| -Col(cs,r,p1).
964 [ur,309,449,90] -Col(p1,p2,t).
979 [para_from,450.1.2,320.6.3,unit_del,448,449,444,446,442] Col(r,cs,b).
980 [para_from,450.1.2,317.6.2,unit_del,448,449,444,446,442] T(c1211(t,q,r,cs,p1,p2,a),b,t).
988 [para_from,451.1.2,319.6.2,unit_del,448,449,444,446,442] a!=c1.
989 [para_from,451.1.2,318.6.3,unit_del,448,449,444,446,442] Col(p1,p2,c1).
1002 [para_into,452.1.2,158.2.1] c=c1|c1!=a.
1007 [para_from,452.1.2,157.1.1] c!=c1|c1=a.
1008 [para_from,452.1.2,154.1.1.2] s(a,c)=c1.
1009 [para_from,452.1.2,152.1.3] M(c1,a,c).
1087 [binary,559.1,132.2,unit_del,90] sameside(cs,r,cs).
1195 [binary,689.1,132.2,unit_del,90] sameside(p2,p1,p2).
1359 [binary,979.1,87.1] Col(cs,r,b).
1449 [para_into,980.1.1,451.1.2] T(c1,b,t).
1461 [binary,988.1,150.2] -M(c1,a,c1).
1697 [binary,989.1,87.1] Col(p2,p1,c1).
1770 [ur,233,445,988,446,989,964] -Col(a,c1,t).
1781 (heat=1) [binary,1770.1,12.1] -T(t,a,c1).
1910 [para_from,1007.2.1,988.1.2,unit_del,440] c!=c1.
1921 [para_into,1008.1.1,158.2.1,unit_del,1910] c!=a.
1933 [para_from,1008.1.1,152.1.3] M(c,a,c1).
1959 [binary,1009.1,145.1] T(c1,a,c).
1966 (heat=1) [binary,1959.1,10.2] Col(c1,a,c).
1980 [para_into,1009.1.3,1002.1.1,unit_del,1461] c1!=a.
1996 [binary,1087.1,125.1] cs!=r.
2005 [binary,1195.1,125.1] p2!=p1.
2095 [binary,1449.1,46.1] T(t,b,c1).
2108 (heat=1) [para_into,2095.1.2,457.1.2,unit_del,1781] a!=b.
2259 [hyper,232,1697,700,700,unit_del,2005,1980] Col(c1,a,a).
2260 [hyper,232,1697,700,90,unit_del,2005,1980] Col(c1,a,p2).
2722 [binary,1933.1,145.1] T(c,a,c1).
3037 [ur,232,445,1980,989,446,90] Col(c1,a,p1).
4295 [hyper,232,1966,2259,2260,unit_del,1980,1921] Col(c,a,p2).
4565 [hyper,32,2095,2722,demod,13] T(b,d,c).
4772 [hyper,233,1697,700,3037,unit_del,2005,1980] Col(p2,p1,p1).
4781 [hyper,232,1966,2259,3037,unit_del,1980,1921] Col(c,a,p1).
5238 [binary,4565.1,46.1] T(c,d,b).
5253 (heat=1) [para_into,5238.1.2,458.1.2,unit_del,456] T(c,a,b).
5928 [binary,5253.1,81.2] Col(c,a,b).
6122 [hyper,232,4295,4781,5928,unit_del,1921,2005] Col(p2,p1,b).
6330 [hyper,232,700,6122,4772,unit_del,2005,2108] Col(a,b,p1).
6332 [hyper,232,700,6122,90,unit_del,2005,2108] Col(a,b,p2).
6445 [hyper,233,570,1359,6330,unit_del,1996,2108] Col(cs,r,p1).
6616 [hyper,233,444,979,6332,unit_del,443,2108] Col(r,cs,p2).
6678 [binary,6445.1,797.2] -Col(r,cs,p2).
6679 [binary,6678.1,6616.1] $F.
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