NO Non-Confluence Proof

Non-Confluence Proof

by csi

Input

The rewrite relation of the following TRS is considered.

f(a,b,x) f(x,x,x)
a c

Proof

1 Non-Joinable Fork

The system is not confluent due to the following forking derivations.

t0 = f(a,b,f4)
1 f(c,b,f4)
= t1

t0 = f(a,b,f4)
ε f(f4,f4,f4)
= t1

The two resulting terms cannot be joined for the following reason:

Tool configuration

csi