Tool Bounds
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ 5(5(1(3(2(x1))))) -> 3(5(5(4(1(2(x1))))))
, 5(1(4(5(2(x1))))) -> 5(1(4(1(5(2(x1))))))
, 5(1(3(2(3(x1))))) -> 3(4(3(5(1(2(x1))))))
, 5(1(3(2(0(x1))))) -> 5(3(1(5(2(0(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(1(2(3(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(0(3(2(x1))))))
, 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1))))))
, 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1))))))
, 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1))))))
, 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1))))))
, 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1))))))
, 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1))))))
, 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1))))))
, 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1))))))
, 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1))))))
, 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1))))))
, 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1))))))
, 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1))))))
, 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1))))))
, 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1))))))
, 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1))))))
, 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1))))))
, 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1))))))
, 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1))))))
, 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1))))))
, 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1))))))
, 5(1(3(0(x1)))) -> 5(0(2(1(3(x1)))))
, 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1))))))
, 5(1(0(0(x1)))) -> 5(1(0(2(0(x1)))))
, 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1))))))
, 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1))))))
, 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1))))))
, 4(0(2(3(x1)))) -> 4(3(5(0(2(x1)))))
, 4(0(2(3(x1)))) -> 3(4(3(0(2(x1)))))
, 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1))))))
, 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1))))))
, 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1))))))
, 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1))))))
, 0(4(2(3(x1)))) -> 5(4(3(0(2(x1)))))
, 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1))))))
, 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1))))))
, 0(1(3(2(x1)))) -> 3(1(1(0(2(x1)))))
, 0(1(3(2(x1)))) -> 0(3(1(0(2(x1)))))
, 0(0(5(2(x1)))) -> 5(0(2(3(0(x1)))))
, 0(0(4(2(x1)))) -> 0(4(1(0(2(x1)))))
, 0(3(2(x1))) -> 4(3(0(2(x1))))
, 0(0(0(x1))) -> 0(0(1(0(2(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:
{ 5(5(1(3(2(x1))))) -> 3(5(5(4(1(2(x1))))))
, 5(1(4(5(2(x1))))) -> 5(1(4(1(5(2(x1))))))
, 5(1(3(2(3(x1))))) -> 3(4(3(5(1(2(x1))))))
, 5(1(3(2(0(x1))))) -> 5(3(1(5(2(0(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(1(2(3(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(0(3(2(x1))))))
, 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1))))))
, 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1))))))
, 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1))))))
, 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1))))))
, 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1))))))
, 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1))))))
, 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1))))))
, 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1))))))
, 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1))))))
, 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1))))))
, 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1))))))
, 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1))))))
, 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1))))))
, 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1))))))
, 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1))))))
, 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1))))))
, 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1))))))
, 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1))))))
, 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1))))))
, 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1))))))
, 5(1(3(0(x1)))) -> 5(0(2(1(3(x1)))))
, 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1))))))
, 5(1(0(0(x1)))) -> 5(1(0(2(0(x1)))))
, 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1))))))
, 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1))))))
, 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1))))))
, 4(0(2(3(x1)))) -> 4(3(5(0(2(x1)))))
, 4(0(2(3(x1)))) -> 3(4(3(0(2(x1)))))
, 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1))))))
, 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1))))))
, 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1))))))
, 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1))))))
, 0(4(2(3(x1)))) -> 5(4(3(0(2(x1)))))
, 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1))))))
, 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1))))))
, 0(1(3(2(x1)))) -> 3(1(1(0(2(x1)))))
, 0(1(3(2(x1)))) -> 0(3(1(0(2(x1)))))
, 0(0(5(2(x1)))) -> 5(0(2(3(0(x1)))))
, 0(0(4(2(x1)))) -> 0(4(1(0(2(x1)))))
, 0(3(2(x1))) -> 4(3(0(2(x1))))
, 0(0(0(x1))) -> 0(0(1(0(2(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:
{ 5(5(1(3(2(x1))))) -> 3(5(5(4(1(2(x1))))))
, 5(1(4(5(2(x1))))) -> 5(1(4(1(5(2(x1))))))
, 5(1(3(2(3(x1))))) -> 3(4(3(5(1(2(x1))))))
, 5(1(3(2(0(x1))))) -> 5(3(1(5(2(0(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(1(2(3(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(0(3(2(x1))))))
, 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1))))))
, 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1))))))
, 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1))))))
, 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1))))))
, 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1))))))
, 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1))))))
, 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1))))))
, 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1))))))
, 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1))))))
, 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1))))))
, 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1))))))
, 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1))))))
, 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1))))))
, 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1))))))
, 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1))))))
, 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1))))))
, 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1))))))
, 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1))))))
, 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1))))))
, 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1))))))
, 5(1(3(0(x1)))) -> 5(0(2(1(3(x1)))))
, 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1))))))
, 5(1(0(0(x1)))) -> 5(1(0(2(0(x1)))))
, 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1))))))
, 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1))))))
, 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1))))))
, 4(0(2(3(x1)))) -> 4(3(5(0(2(x1)))))
, 4(0(2(3(x1)))) -> 3(4(3(0(2(x1)))))
, 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1))))))
, 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1))))))
, 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1))))))
, 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1))))))
, 0(4(2(3(x1)))) -> 5(4(3(0(2(x1)))))
, 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1))))))
, 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1))))))
, 0(1(3(2(x1)))) -> 3(1(1(0(2(x1)))))
, 0(1(3(2(x1)))) -> 0(3(1(0(2(x1)))))
, 0(0(5(2(x1)))) -> 5(0(2(3(0(x1)))))
, 0(0(4(2(x1)))) -> 0(4(1(0(2(x1)))))
, 0(3(2(x1))) -> 4(3(0(2(x1))))
, 0(0(0(x1))) -> 0(0(1(0(2(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:
{ 5(5(1(3(2(x1))))) -> 3(5(5(4(1(2(x1))))))
, 5(1(4(5(2(x1))))) -> 5(1(4(1(5(2(x1))))))
, 5(1(3(2(3(x1))))) -> 3(4(3(5(1(2(x1))))))
, 5(1(3(2(0(x1))))) -> 5(3(1(5(2(0(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(1(2(3(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(0(3(2(x1))))))
, 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1))))))
, 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1))))))
, 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1))))))
, 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1))))))
, 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1))))))
, 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1))))))
, 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1))))))
, 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1))))))
, 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1))))))
, 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1))))))
, 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1))))))
, 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1))))))
, 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1))))))
, 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1))))))
, 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1))))))
, 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1))))))
, 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1))))))
, 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1))))))
, 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1))))))
, 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1))))))
, 5(1(3(0(x1)))) -> 5(0(2(1(3(x1)))))
, 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1))))))
, 5(1(0(0(x1)))) -> 5(1(0(2(0(x1)))))
, 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1))))))
, 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1))))))
, 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1))))))
, 4(0(2(3(x1)))) -> 4(3(5(0(2(x1)))))
, 4(0(2(3(x1)))) -> 3(4(3(0(2(x1)))))
, 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1))))))
, 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1))))))
, 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1))))))
, 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1))))))
, 0(4(2(3(x1)))) -> 5(4(3(0(2(x1)))))
, 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1))))))
, 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1))))))
, 0(1(3(2(x1)))) -> 3(1(1(0(2(x1)))))
, 0(1(3(2(x1)))) -> 0(3(1(0(2(x1)))))
, 0(0(5(2(x1)))) -> 5(0(2(3(0(x1)))))
, 0(0(4(2(x1)))) -> 0(4(1(0(2(x1)))))
, 0(3(2(x1))) -> 4(3(0(2(x1))))
, 0(0(0(x1))) -> 0(0(1(0(2(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:
{ 5(5(1(3(2(x1))))) -> 3(5(5(4(1(2(x1))))))
, 5(1(4(5(2(x1))))) -> 5(1(4(1(5(2(x1))))))
, 5(1(3(2(3(x1))))) -> 3(4(3(5(1(2(x1))))))
, 5(1(3(2(0(x1))))) -> 5(3(1(5(2(0(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(1(2(3(x1))))))
, 5(1(3(0(2(x1))))) -> 5(0(1(0(3(2(x1))))))
, 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1))))))
, 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1))))))
, 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1))))))
, 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1))))))
, 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1))))))
, 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1))))))
, 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1))))))
, 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1))))))
, 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1))))))
, 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1))))))
, 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1))))))
, 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1))))))
, 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1))))))
, 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1))))))
, 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1))))))
, 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1))))))
, 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1))))))
, 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1))))))
, 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1))))))
, 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1))))))
, 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1))))))
, 5(1(3(0(x1)))) -> 5(0(2(1(3(x1)))))
, 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1))))))
, 5(1(0(0(x1)))) -> 5(1(0(2(0(x1)))))
, 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1))))))
, 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1))))))
, 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1))))))
, 4(0(2(3(x1)))) -> 4(3(5(0(2(x1)))))
, 4(0(2(3(x1)))) -> 3(4(3(0(2(x1)))))
, 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1))))))
, 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1))))))
, 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1))))))
, 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1))))))
, 0(4(2(3(x1)))) -> 5(4(3(0(2(x1)))))
, 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1))))))
, 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1))))))
, 0(1(3(2(x1)))) -> 3(1(1(0(2(x1)))))
, 0(1(3(2(x1)))) -> 0(3(1(0(2(x1)))))
, 0(0(5(2(x1)))) -> 5(0(2(3(0(x1)))))
, 0(0(4(2(x1)))) -> 0(4(1(0(2(x1)))))
, 0(3(2(x1))) -> 4(3(0(2(x1))))
, 0(0(0(x1))) -> 0(0(1(0(2(x1)))))}
StartTerms: all
Strategy: none
Certificate: MAYBE
Proof:
The input cannot be shown compatible
Arrrr..