Tool LMPO
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, a(b(y))) -> f(a(b(x)), y)
, f(x, b(c(y))) -> f(b(c(x)), y)
, f(x, c(a(y))) -> f(c(a(x)), y)
, f(a(x), y) -> f(x, a(y))
, f(b(x), y) -> f(x, b(y))
, f(c(x), y) -> f(x, c(y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Tool MPO
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, a(b(y))) -> f(a(b(x)), y)
, f(x, b(c(y))) -> f(b(c(x)), y)
, f(x, c(a(y))) -> f(c(a(x)), y)
, f(a(x), y) -> f(x, a(y))
, f(b(x), y) -> f(x, b(y))
, f(c(x), y) -> f(x, c(y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Tool POP*
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, a(b(y))) -> f(a(b(x)), y)
, f(x, b(c(y))) -> f(b(c(x)), y)
, f(x, c(a(y))) -> f(c(a(x)), y)
, f(a(x), y) -> f(x, a(y))
, f(b(x), y) -> f(x, b(y))
, f(c(x), y) -> f(x, c(y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Tool POP* (PS)
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, a(b(y))) -> f(a(b(x)), y)
, f(x, b(c(y))) -> f(b(c(x)), y)
, f(x, c(a(y))) -> f(c(a(x)), y)
, f(a(x), y) -> f(x, a(y))
, f(b(x), y) -> f(x, b(y))
, f(c(x), y) -> f(x, c(y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Tool Small POP*
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, a(b(y))) -> f(a(b(x)), y)
, f(x, b(c(y))) -> f(b(c(x)), y)
, f(x, c(a(y))) -> f(c(a(x)), y)
, f(a(x), y) -> f(x, a(y))
, f(b(x), y) -> f(x, b(y))
, f(c(x), y) -> f(x, c(y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..
Tool Small POP* (PS)
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, a(b(y))) -> f(a(b(x)), y)
, f(x, b(c(y))) -> f(b(c(x)), y)
, f(x, c(a(y))) -> f(c(a(x)), y)
, f(a(x), y) -> f(x, a(y))
, f(b(x), y) -> f(x, b(y))
, f(c(x), y) -> f(x, c(y))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..