NO Nontermination Proof

Nontermination Proof

by ttt2 (version ttt2 1.15)

Input

The rewrite relation of the following TRS is considered.

Begin(0(x0)) Wait(Right1(x0))
Begin(1(x0)) Wait(Right2(x0))
Right1(#(End(x0))) Left(0(#(End(x0))))
Right2(#(End(x0))) Left(1(#(End(x0))))
Right1(#(x0)) A#(Right1(x0))
Right2(#(x0)) A#(Right2(x0))
Right1(0(x0)) A0(Right1(x0))
Right2(0(x0)) A0(Right2(x0))
Right1(1(x0)) A1(Right1(x0))
Right2(1(x0)) A1(Right2(x0))
A#(Left(x0)) Left(#(x0))
A0(Left(x0)) Left(0(x0))
A1(Left(x0)) Left(1(x0))
Wait(Left(x0)) Begin(x0)
#(0(x0)) 0(#(x0))
#(1(x0)) 1(#(x0))

Proof

1 Loop

The following loop proves nontermination.

t0 = Begin(0(#(End(x579))))
ε Wait(Right1(#(End(x579))))
1 Wait(Left(0(#(End(x579)))))
ε Begin(0(#(End(x579))))
= t3
where t3 = t0σ and σ = {x579/x579}