I forgot the last line 

t == G.one()

The ticket https://trac.sagemath.org/ticket/14779 seems to be related.

Dne středa 21. února 2018 16:47:04 UTC+1 Vít Tuček napsal(a):
>
> If you try to test for equality in a finitely presented groupy the sage 
> kernel can crash.
>
> The following real life example leads to restarted kernel in the notebook 
> interface and to "gap: cannot extend the workspace any more!" in Sage 
> terminal interface (and nongraceful exit).
>
> k = 3
> p = 18
> d = 2*p/(p-6)
> l = 2*p*k/(p*k-2*k-2*p)
> F.<J,P,R1,R2>=FreeGroup()
> G = F / [J^3, P^(3*d), R1^p, R2^p, (F([-2,1]))^k, (F([4,3,1]))^l, 
> F([-4,2,3,-2]), F([-4,1,3,-1]), F([-2,3,4])]
> k = G.rewriting_system()
> x = k.reduce(P^8)
> y = k.reduce(G([-4,2,3]))
> t = k.reduce(x*y)
>
>

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