Tool Bounds
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1))))
, a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1))))
, a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1))))
, a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1))))
, a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1))))
, a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1))))
, a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) ->
x1
, a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) ->
x1
, a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) ->
x1
, a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) ->
x1
, a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1))))))
, a36(a36(x1)) ->
a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))))
, a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1))))))
, a26(a26(x1)) ->
a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))))
, a25(a25(x1)) ->
a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))))
, a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1))))))
, a16(a16(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))))
, a15(a15(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))
, a14(a14(x1)) ->
a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))))
, a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1))))))
, a56(a56(a56(a56(x1)))) -> x1
, a46(a46(a46(a46(x1)))) -> x1
, a45(a45(a45(a45(x1)))) -> x1
, a36(a36(a36(a36(x1)))) -> x1
, a35(a35(a35(a35(x1)))) -> x1
, a34(a34(a34(a34(x1)))) -> x1
, a26(a26(a26(a26(x1)))) -> x1
, a25(a25(a25(a25(x1)))) -> x1
, a24(a24(a24(a24(x1)))) -> x1
, a23(a23(a23(a23(x1)))) -> x1
, a16(a16(a16(a16(x1)))) -> x1
, a15(a15(a15(a15(x1)))) -> x1
, a14(a14(a14(a14(x1)))) -> x1
, a13(a13(a13(a13(x1)))) -> x1
, a12(a12(a12(a12(x1)))) -> x1}
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:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1))))
, a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1))))
, a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1))))
, a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1))))
, a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1))))
, a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1))))
, a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) ->
x1
, a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) ->
x1
, a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) ->
x1
, a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) ->
x1
, a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1))))))
, a36(a36(x1)) ->
a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))))
, a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1))))))
, a26(a26(x1)) ->
a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))))
, a25(a25(x1)) ->
a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))))
, a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1))))))
, a16(a16(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))))
, a15(a15(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))
, a14(a14(x1)) ->
a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))))
, a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1))))))
, a56(a56(a56(a56(x1)))) -> x1
, a46(a46(a46(a46(x1)))) -> x1
, a45(a45(a45(a45(x1)))) -> x1
, a36(a36(a36(a36(x1)))) -> x1
, a35(a35(a35(a35(x1)))) -> x1
, a34(a34(a34(a34(x1)))) -> x1
, a26(a26(a26(a26(x1)))) -> x1
, a25(a25(a25(a25(x1)))) -> x1
, a24(a24(a24(a24(x1)))) -> x1
, a23(a23(a23(a23(x1)))) -> x1
, a16(a16(a16(a16(x1)))) -> x1
, a15(a15(a15(a15(x1)))) -> x1
, a14(a14(a14(a14(x1)))) -> x1
, a13(a13(a13(a13(x1)))) -> x1
, a12(a12(a12(a12(x1)))) -> x1}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool IDA
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1))))
, a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1))))
, a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1))))
, a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1))))
, a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1))))
, a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1))))
, a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) ->
x1
, a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) ->
x1
, a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) ->
x1
, a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) ->
x1
, a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1))))))
, a36(a36(x1)) ->
a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))))
, a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1))))))
, a26(a26(x1)) ->
a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))))
, a25(a25(x1)) ->
a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))))
, a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1))))))
, a16(a16(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))))
, a15(a15(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))
, a14(a14(x1)) ->
a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))))
, a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1))))))
, a56(a56(a56(a56(x1)))) -> x1
, a46(a46(a46(a46(x1)))) -> x1
, a45(a45(a45(a45(x1)))) -> x1
, a36(a36(a36(a36(x1)))) -> x1
, a35(a35(a35(a35(x1)))) -> x1
, a34(a34(a34(a34(x1)))) -> x1
, a26(a26(a26(a26(x1)))) -> x1
, a25(a25(a25(a25(x1)))) -> x1
, a24(a24(a24(a24(x1)))) -> x1
, a23(a23(a23(a23(x1)))) -> x1
, a16(a16(a16(a16(x1)))) -> x1
, a15(a15(a15(a15(x1)))) -> x1
, a14(a14(a14(a14(x1)))) -> x1
, a13(a13(a13(a13(x1)))) -> x1
, a12(a12(a12(a12(x1)))) -> x1}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1))))
, a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1))))
, a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1))))
, a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1))))
, a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1))))
, a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1))))
, a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) ->
x1
, a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) ->
x1
, a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) ->
x1
, a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) ->
x1
, a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1))))))
, a36(a36(x1)) ->
a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))))
, a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1))))))
, a26(a26(x1)) ->
a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))))
, a25(a25(x1)) ->
a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))))
, a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1))))))
, a16(a16(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))))
, a15(a15(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))
, a14(a14(x1)) ->
a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))))
, a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1))))))
, a56(a56(a56(a56(x1)))) -> x1
, a46(a46(a46(a46(x1)))) -> x1
, a45(a45(a45(a45(x1)))) -> x1
, a36(a36(a36(a36(x1)))) -> x1
, a35(a35(a35(a35(x1)))) -> x1
, a34(a34(a34(a34(x1)))) -> x1
, a26(a26(a26(a26(x1)))) -> x1
, a25(a25(a25(a25(x1)))) -> x1
, a24(a24(a24(a24(x1)))) -> x1
, a23(a23(a23(a23(x1)))) -> x1
, a16(a16(a16(a16(x1)))) -> x1
, a15(a15(a15(a15(x1)))) -> x1
, a14(a14(a14(a14(x1)))) -> x1
, a13(a13(a13(a13(x1)))) -> x1
, a12(a12(a12(a12(x1)))) -> x1}
StartTerms: all
Strategy: none
Certificate: TIMEOUT
Proof:
Computation stopped due to timeout after 60.0 seconds.
Arrrr..Tool TRI2
stdout:
MAYBE
We consider the following Problem:
Strict Trs:
{ a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1))))
, a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1))))
, a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1))))
, a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1))))
, a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1))))
, a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1))))
, a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) ->
x1
, a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) ->
x1
, a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) ->
x1
, a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) ->
x1
, a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1))))))
, a36(a36(x1)) ->
a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1))))))))))
, a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1))))))
, a26(a26(x1)) ->
a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1))))))))))))))
, a25(a25(x1)) ->
a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1))))))))))
, a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1))))))
, a16(a16(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))))))
, a15(a15(x1)) ->
a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1))))))))))))))
, a14(a14(x1)) ->
a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1))))))))))
, a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1))))))
, a56(a56(a56(a56(x1)))) -> x1
, a46(a46(a46(a46(x1)))) -> x1
, a45(a45(a45(a45(x1)))) -> x1
, a36(a36(a36(a36(x1)))) -> x1
, a35(a35(a35(a35(x1)))) -> x1
, a34(a34(a34(a34(x1)))) -> x1
, a26(a26(a26(a26(x1)))) -> x1
, a25(a25(a25(a25(x1)))) -> x1
, a24(a24(a24(a24(x1)))) -> x1
, a23(a23(a23(a23(x1)))) -> x1
, a16(a16(a16(a16(x1)))) -> x1
, a15(a15(a15(a15(x1)))) -> x1
, a14(a14(a14(a14(x1)))) -> x1
, a13(a13(a13(a13(x1)))) -> x1
, a12(a12(a12(a12(x1)))) -> x1}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..