Tool Bounds
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ f(x, f(x, y)) -> f(f(f(x, a()), a()), a())
, f(y, f(x, f(a(), x))) -> f(f(a(), f(x, a())), f(a(), y))}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool CDI
stdout:
TIMEOUT
Statistics:
Number of monomials: 0
Last formula building started for bound 0
Last SAT solving started for bound 0Tool EDA
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, f(x, y)) -> f(f(f(x, a()), a()), a())
, f(y, f(x, f(a(), x))) -> f(f(a(), f(x, a())), f(a(), y))}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 3' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 2' failed due to the following reason:
The input cannot be shown compatible
4) 'matrix-interpretation of dimension 1' failed due to the following reason:
The input cannot be shown compatible
Arrrr..Tool IDA
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, f(x, y)) -> f(f(f(x, a()), a()), a())
, f(y, f(x, f(a(), x))) -> f(f(a(), f(x, a())), f(a(), y))}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 4' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 4' failed due to the following reason:
The input cannot be shown compatible
4) 'matrix-interpretation of dimension 4' failed due to the following reason:
The input cannot be shown compatible
5) 'matrix-interpretation of dimension 3' failed due to the following reason:
The input cannot be shown compatible
6) 'matrix-interpretation of dimension 3' failed due to the following reason:
The input cannot be shown compatible
7) 'matrix-interpretation of dimension 3' failed due to the following reason:
The input cannot be shown compatible
8) 'matrix-interpretation of dimension 2' failed due to the following reason:
The input cannot be shown compatible
9) 'matrix-interpretation of dimension 2' failed due to the following reason:
The input cannot be shown compatible
10) 'matrix-interpretation of dimension 1' failed due to the following reason:
The input cannot be shown compatible
Arrrr..Tool TRI
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, f(x, y)) -> f(f(f(x, a()), a()), a())
, f(y, f(x, f(a(), x))) -> f(f(a(), f(x, a())), f(a(), y))}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 6' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 5' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 4' failed due to the following reason:
The input cannot be shown compatible
4) 'matrix-interpretation of dimension 3' failed due to the following reason:
The input cannot be shown compatible
5) 'matrix-interpretation of dimension 2' failed due to the following reason:
The input cannot be shown compatible
6) 'matrix-interpretation of dimension 1' failed due to the following reason:
The input cannot be shown compatible
Arrrr..Tool TRI2
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ f(x, f(x, y)) -> f(f(f(x, a()), a()), a())
, f(y, f(x, f(a(), x))) -> f(f(a(), f(x, a())), f(a(), y))}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..