GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
gap> START_TEST("HAP library"); gap> F:=FreeGroup(3);;x:=F.1;;y:=F.2;;z:=F.3;; gap> rels:=[x*y*x*(y*x*y)^-1, y*z*y*(z*y*z)^-1, z*x*z*(x*z*x)^-1];; gap> IsAspherical(F,rels); Test inconclusive. fail gap> F:=FreeGroup(6);; gap> x:=F.1;;y:=F.2;;z:=F.3;;a:=F.4;;b:=F.5;;c:=F.6;; gap> rels:=[a^-1*x*y, b^-1*y*z, c^-1*z*x, a*x*(y*a)^-1, b*y*(z*b)^-1, c*z*(x*c)^-1];; gap> IsAspherical(F,rels); Presentation is aspherical. true gap> STOP_TEST( "tst.tst", 1000 );