Tool CaT
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | AG01 3.8b |
---|
stdout:
MAYBE
Problem:
le(0(),y) -> true()
le(s(x),0()) -> false()
le(s(x),s(y)) -> le(x,y)
minus(0(),y) -> 0()
minus(s(x),y) -> if_minus(le(s(x),y),s(x),y)
if_minus(true(),s(x),y) -> 0()
if_minus(false(),s(x),y) -> s(minus(x,y))
quot(0(),s(y)) -> 0()
quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
log(s(0())) -> 0()
log(s(s(x))) -> s(log(s(quot(x,s(s(0()))))))
Proof:
OpenTool IRC1
Execution Time | Unknown |
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Answer | MAYBE |
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Input | AG01 3.8b |
---|
stdout:
MAYBE
Tool IRC2
Execution Time | Unknown |
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Answer | TIMEOUT |
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Input | AG01 3.8b |
---|
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: innermost runtime-complexity with respect to
Rules:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool RC1
Execution Time | Unknown |
---|
Answer | MAYBE |
---|
Input | AG01 3.8b |
---|
stdout:
MAYBE
Tool RC2
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | AG01 3.8b |
---|
stdout:
TIMEOUT
'Fastest (timeout of 60.0 seconds)'
-----------------------------------
Answer: TIMEOUT
Input Problem: runtime-complexity with respect to
Rules:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
Proof Output:
Computation stopped due to timeout after 60.0 secondsTool pair1rc
Execution Time | Unknown |
---|
Answer | TIMEOUT |
---|
Input | AG01 3.8b |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
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 | AG01 3.8b |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
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 | AG01 3.8b |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
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 | AG01 3.8b |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
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 | AG01 3.8b |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
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 | 60.070053ms |
---|
Answer | TIMEOUT |
---|
Input | AG01 3.8b |
---|
stdout:
TIMEOUT
We consider the following Problem:
Strict Trs:
{ le(0(), y) -> true()
, le(s(x), 0()) -> false()
, le(s(x), s(y)) -> le(x, y)
, minus(0(), y) -> 0()
, minus(s(x), y) -> if_minus(le(s(x), y), s(x), y)
, if_minus(true(), s(x), y) -> 0()
, if_minus(false(), s(x), y) -> s(minus(x, y))
, quot(0(), s(y)) -> 0()
, quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))
, log(s(0())) -> 0()
, log(s(s(x))) -> s(log(s(quot(x, s(s(0()))))))}
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..