Tool CaT
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | SK90 2.26 |
---|
stdout:
MAYBE
Problem:
f(0()) -> 0()
f(s(0())) -> s(0())
f(s(s(x))) -> p(h(g(x)))
g(0()) -> pair(s(0()),s(0()))
g(s(x)) -> h(g(x))
h(x) -> pair(+(p(x),q(x)),p(x))
p(pair(x,y)) -> x
q(pair(x,y)) -> y
+(x,0()) -> x
+(x,s(y)) -> s(+(x,y))
f(s(s(x))) -> +(p(g(x)),q(g(x)))
g(s(x)) -> pair(+(p(g(x)),q(g(x))),p(g(x)))
Proof:
OpenTool IRC1
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | SK90 2.26 |
---|
stdout:
MAYBE
Tool IRC2
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: innermost runtime-complexity with respect to
Rules:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool RC1
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | SK90 2.26 |
---|
stdout:
MAYBE
Tool RC2
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool pair1rc
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
StartTerms: basic terms
Strategy: none
Certificate: TIMEOUT
Application of 'pair1 (timeout of 60.0 seconds)':
-------------------------------------------------
Computation stopped due to timeout after 60.0 seconds
Arrrr..Tool pair2rc
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
StartTerms: basic terms
Strategy: none
Certificate: TIMEOUT
Application of 'pair2 (timeout of 60.0 seconds)':
-------------------------------------------------
Computation stopped due to timeout after 60.0 seconds
Arrrr..Tool pair3irc
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
StartTerms: basic terms
Strategy: innermost
Certificate: TIMEOUT
Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
Computation stopped due to timeout after 60.0 seconds
Arrrr..Tool pair3rc
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
StartTerms: basic terms
Strategy: none
Certificate: TIMEOUT
Application of 'pair3 (timeout of 60.0 seconds)':
-------------------------------------------------
Computation stopped due to timeout after 60.0 seconds
Arrrr..Tool rc
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
StartTerms: basic terms
Strategy: none
Certificate: TIMEOUT
Application of 'rc (timeout of 60.0 seconds)':
----------------------------------------------
Computation stopped due to timeout after 60.0 seconds
Arrrr..Tool tup3irc
Execution Time | 60.11425ms |
---|
Answer | TIMEOUT |
---|
Input | SK90 2.26 |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ f(0()) -> 0()
, f(s(0())) -> s(0())
, f(s(s(x))) -> p(h(g(x)))
, g(0()) -> pair(s(0()), s(0()))
, g(s(x)) -> h(g(x))
, h(x) -> pair(+(p(x), q(x)), p(x))
, p(pair(x, y)) -> x
, q(pair(x, y)) -> y
, +(x, 0()) -> x
, +(x, s(y)) -> s(+(x, y))
, f(s(s(x))) -> +(p(g(x)), q(g(x)))
, g(s(x)) -> pair(+(p(g(x)), q(g(x))), p(g(x)))}
StartTerms: basic terms
Strategy: innermost
Certificate: TIMEOUT
Application of 'tup3 (timeout of 60.0 seconds)':
------------------------------------------------
Computation stopped due to timeout after 60.0 seconds
Arrrr..