Tool Bounds
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ :(i(x), :(y, :(x, z))) -> :(i(z), y)
, :(i(x), :(y, x)) -> i(y)
, :(x, :(y, :(i(x), z))) -> :(i(z), y)
, :(x, :(y, i(x))) -> i(y)
, i(e()) -> e()
, i(i(x)) -> x
, :(e(), x) -> i(x)
, :(:(x, y), z) -> :(x, :(z, i(y)))
, i(:(x, y)) -> :(y, x)
, :(x, e()) -> x
, :(x, x) -> e()}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool CDI
stdout:
MAYBE
Statistics:
Number of monomials: 1198
Last formula building started for bound 3
Last SAT solving started for bound 3Tool EDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ :(i(x), :(y, :(x, z))) -> :(i(z), y)
, :(i(x), :(y, x)) -> i(y)
, :(x, :(y, :(i(x), z))) -> :(i(z), y)
, :(x, :(y, i(x))) -> i(y)
, i(e()) -> e()
, i(i(x)) -> x
, :(e(), x) -> i(x)
, :(:(x, y), z) -> :(x, :(z, i(y)))
, i(:(x, y)) -> :(y, x)
, :(x, e()) -> x
, :(x, x) -> e()}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool IDA
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ :(i(x), :(y, :(x, z))) -> :(i(z), y)
, :(i(x), :(y, x)) -> i(y)
, :(x, :(y, :(i(x), z))) -> :(i(z), y)
, :(x, :(y, i(x))) -> i(y)
, i(e()) -> e()
, i(i(x)) -> x
, :(e(), x) -> i(x)
, :(:(x, y), z) -> :(x, :(z, i(y)))
, i(:(x, y)) -> :(y, x)
, :(x, e()) -> x
, :(x, x) -> e()}
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:
{ :(i(x), :(y, :(x, z))) -> :(i(z), y)
, :(i(x), :(y, x)) -> i(y)
, :(x, :(y, :(i(x), z))) -> :(i(z), y)
, :(x, :(y, i(x))) -> i(y)
, i(e()) -> e()
, i(i(x)) -> x
, :(e(), x) -> i(x)
, :(:(x, y), z) -> :(x, :(z, i(y)))
, i(:(x, y)) -> :(y, x)
, :(x, e()) -> x
, :(x, x) -> e()}
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:
{ :(i(x), :(y, :(x, z))) -> :(i(z), y)
, :(i(x), :(y, x)) -> i(y)
, :(x, :(y, :(i(x), z))) -> :(i(z), y)
, :(x, :(y, i(x))) -> i(y)
, i(e()) -> e()
, i(i(x)) -> x
, :(e(), x) -> i(x)
, :(:(x, y), z) -> :(x, :(z, i(y)))
, i(:(x, y)) -> :(y, x)
, :(x, e()) -> x
, :(x, x) -> e()}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..