Tool CaT
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
Problem:
:(:(x,y),z) -> :(x,:(y,z))
:(+(x,y),z) -> +(:(x,z),:(y,z))
:(z,+(x,f(y))) -> :(g(z,y),+(x,a()))
Proof:
OpenTool IRC1
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
Tool IRC2
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: MAYBE
Input Problem: innermost runtime-complexity with respect to
Rules:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
Proof Output:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'wdg' failed due to the following reason:
Transformation Details:
-----------------------
We have computed the following set of weak (innermost) dependency pairs:
{ 1: :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, 2: :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, 3: :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))}
Following Dependency Graph (modulo SCCs) was computed. (Answers to
subproofs are indicated to the right.)
->{1,2} [ inherited ]
|
`->{3} [ NA ]
Sub-problems:
-------------
* Path {1,2}: inherited
---------------------
This path is subsumed by the proof of path {1,2}->{3}.
* Path {1,2}->{3}: NA
-------------------
The usable rules for this path are:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
The weight gap principle does not apply:
The input cannot be shown compatible
Complexity induced by the adequate RMI: MAYBE
We have not generated a proof for the resulting sub-problem.
2) 'wdg' failed due to the following reason:
Transformation Details:
-----------------------
We have computed the following set of weak (innermost) dependency pairs:
{ 1: :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, 2: :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, 3: :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))}
Following Dependency Graph (modulo SCCs) was computed. (Answers to
subproofs are indicated to the right.)
->{1,2} [ inherited ]
|
`->{3} [ MAYBE ]
Sub-problems:
-------------
* Path {1,2}: inherited
---------------------
This path is subsumed by the proof of path {1,2}->{3}.
* Path {1,2}->{3}: MAYBE
----------------------
The usable rules for this path are:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
The weight gap principle does not apply:
The input cannot be shown compatible
Complexity induced by the adequate RMI: MAYBE
We apply the sub-processor on the resulting sub-problem:
'matrix-interpretation of dimension 2'
--------------------------------------
Answer: MAYBE
Input Problem: innermost runtime-complexity with respect to
Rules:
{ :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))
, :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
Proof Output:
The input cannot be shown compatible
3) 'wdg' failed due to the following reason:
Transformation Details:
-----------------------
We have computed the following set of weak (innermost) dependency pairs:
{ 1: :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, 2: :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, 3: :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))}
Following Dependency Graph (modulo SCCs) was computed. (Answers to
subproofs are indicated to the right.)
->{1,2} [ inherited ]
|
`->{3} [ MAYBE ]
Sub-problems:
-------------
* Path {1,2}: inherited
---------------------
This path is subsumed by the proof of path {1,2}->{3}.
* Path {1,2}->{3}: MAYBE
----------------------
The usable rules for this path are:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
The weight gap principle does not apply:
The input cannot be shown compatible
Complexity induced by the adequate RMI: MAYBE
We apply the sub-processor on the resulting sub-problem:
'matrix-interpretation of dimension 1'
--------------------------------------
Answer: MAYBE
Input Problem: innermost runtime-complexity with respect to
Rules:
{ :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))
, :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
Proof Output:
The input cannot be shown compatible
4) 'matrix-interpretation of dimension 1' failed due to the following reason:
The input cannot be shown compatible
5) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
6) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
Tool RC1
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
Tool RC2
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: MAYBE
Input Problem: runtime-complexity with respect to
Rules:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
Proof Output:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'wdg' failed due to the following reason:
Transformation Details:
-----------------------
We have computed the following set of weak (innermost) dependency pairs:
{ 1: :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, 2: :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, 3: :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))}
Following Dependency Graph (modulo SCCs) was computed. (Answers to
subproofs are indicated to the right.)
->{1,2} [ inherited ]
|
`->{3} [ NA ]
Sub-problems:
-------------
* Path {1,2}: inherited
---------------------
This path is subsumed by the proof of path {1,2}->{3}.
* Path {1,2}->{3}: NA
-------------------
The usable rules for this path are:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
The weight gap principle does not apply:
The input cannot be shown compatible
Complexity induced by the adequate RMI: MAYBE
We have not generated a proof for the resulting sub-problem.
2) 'wdg' failed due to the following reason:
Transformation Details:
-----------------------
We have computed the following set of weak (innermost) dependency pairs:
{ 1: :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, 2: :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, 3: :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))}
Following Dependency Graph (modulo SCCs) was computed. (Answers to
subproofs are indicated to the right.)
->{1,2} [ inherited ]
|
`->{3} [ MAYBE ]
Sub-problems:
-------------
* Path {1,2}: inherited
---------------------
This path is subsumed by the proof of path {1,2}->{3}.
* Path {1,2}->{3}: MAYBE
----------------------
The usable rules for this path are:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
The weight gap principle does not apply:
The input cannot be shown compatible
Complexity induced by the adequate RMI: MAYBE
We apply the sub-processor on the resulting sub-problem:
'matrix-interpretation of dimension 2'
--------------------------------------
Answer: MAYBE
Input Problem: runtime-complexity with respect to
Rules:
{ :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))
, :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
Proof Output:
The input cannot be shown compatible
3) 'wdg' failed due to the following reason:
Transformation Details:
-----------------------
We have computed the following set of weak (innermost) dependency pairs:
{ 1: :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, 2: :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, 3: :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))}
Following Dependency Graph (modulo SCCs) was computed. (Answers to
subproofs are indicated to the right.)
->{1,2} [ inherited ]
|
`->{3} [ MAYBE ]
Sub-problems:
-------------
* Path {1,2}: inherited
---------------------
This path is subsumed by the proof of path {1,2}->{3}.
* Path {1,2}->{3}: MAYBE
----------------------
The usable rules for this path are:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
The weight gap principle does not apply:
The input cannot be shown compatible
Complexity induced by the adequate RMI: MAYBE
We apply the sub-processor on the resulting sub-problem:
'matrix-interpretation of dimension 1'
--------------------------------------
Answer: MAYBE
Input Problem: runtime-complexity with respect to
Rules:
{ :^#(:(x, y), z) -> c_0(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_1(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_2(:^#(g(z, y), +(x, a())))
, :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
Proof Output:
The input cannot be shown compatible
4) 'matrix-interpretation of dimension 1' failed due to the following reason:
The input cannot be shown compatible
5) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
6) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
Tool pair1rc
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'pair1 (timeout of 60.0 seconds)':
-------------------------------------------------
The processor is not applicable, reason is:
Input problem is not restricted to innermost rewriting
We abort the transformation and continue with the subprocessor on the problem
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
1) None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'dp' failed due to the following reason:
We have computed the following dependency pairs
Strict Dependency Pairs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
We consider the following Problem:
Strict DPs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'Fastest':
-------------------------
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
2) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
Arrrr..Tool pair2rc
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'pair2 (timeout of 60.0 seconds)':
-------------------------------------------------
The processor is not applicable, reason is:
Input problem is not restricted to innermost rewriting
We abort the transformation and continue with the subprocessor on the problem
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
1) None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'dp' failed due to the following reason:
We have computed the following dependency pairs
Strict Dependency Pairs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
We consider the following Problem:
Strict DPs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'Fastest':
-------------------------
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
Arrrr..Tool pair3irc
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
The input problem contains no overlaps that give rise to inapplicable rules.
We abort the transformation and continue with the subprocessor on the problem
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: innermost
1) None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'dp' failed due to the following reason:
We have computed the following dependency pairs
Strict Dependency Pairs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
We consider the following Problem:
Strict DPs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Application of 'Fastest':
-------------------------
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
2) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
Arrrr..Tool pair3rc
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
The processor is not applicable, reason is:
Input problem is not restricted to innermost rewriting
We abort the transformation and continue with the subprocessor on the problem
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
1) None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'dp' failed due to the following reason:
We have computed the following dependency pairs
Strict Dependency Pairs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
We consider the following Problem:
Strict DPs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'Fastest':
-------------------------
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
2) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
Arrrr..Tool rc
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'rc (timeout of 60.0 seconds)':
----------------------------------------------
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Bounds with minimal-enrichment and initial automaton 'match' (timeout of 100.0 seconds)' failed due to the following reason:
match-boundness of the problem could not be verified.
2) 'Bounds with perSymbol-enrichment and initial automaton 'match' (timeout of 5.0 seconds)' failed due to the following reason:
match-boundness of the problem could not be verified.
2) 'dp' failed due to the following reason:
We have computed the following dependency pairs
Strict Dependency Pairs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
We consider the following Problem:
Strict DPs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: none
Certificate: MAYBE
Application of 'usablerules':
-----------------------------
All rules are usable.
No subproblems were generated.
Arrrr..Tool tup3irc
Execution Time | 41.645187ms |
---|
Answer | MAYBE |
---|
Input | Der95 31 |
---|
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Application of 'tup3 (timeout of 60.0 seconds)':
------------------------------------------------
The input problem contains no overlaps that give rise to inapplicable rules.
We abort the transformation and continue with the subprocessor on the problem
Strict Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: innermost
1) None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'dp' failed due to the following reason:
We have computed the following dependency pairs
Strict Dependency Pairs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)), :^#(y, z))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
We consider the following Problem:
Strict DPs:
{ :^#(:(x, y), z) -> c_1(:^#(x, :(y, z)), :^#(y, z))
, :^#(+(x, y), z) -> c_2(:^#(x, z), :^#(y, z))
, :^#(z, +(x, f(y))) -> c_3(:^#(g(z, y), +(x, a())))}
Weak Trs:
{ :(:(x, y), z) -> :(x, :(y, z))
, :(+(x, y), z) -> +(:(x, z), :(y, z))
, :(z, +(x, f(y))) -> :(g(z, y), +(x, a()))}
StartTerms: basic terms
Strategy: innermost
Certificate: MAYBE
Application of 'Fastest':
-------------------------
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Sequentially' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'empty' failed due to the following reason:
Empty strict component of the problem is NOT empty.
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'matrix-interpretation of dimension 4 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'matrix-interpretation of dimension 3 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
3) 'matrix-interpretation of dimension 2 (timeout of 100.0 seconds)' failed due to the following reason:
The input cannot be shown compatible
2) 'Fastest' failed due to the following reason:
None of the processors succeeded.
Details of failed attempt(s):
-----------------------------
1) 'Bounds with perSymbol-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
2) 'Bounds with minimal-enrichment and initial automaton 'match'' failed due to the following reason:
match-boundness of the problem could not be verified.
Arrrr..