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Haskell 2019-04-01 06.52 pair #433317176
details
property
value
status
complete
benchmark
span_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n150.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.1566 seconds
cpu usage
10.3701
user time
10.0496
system time
0.320448
max virtual memory
1.828352E7
max residence set size
604736.0
stage attributes
key
value
starexec-result
YES
output
8.38/3.61 YES 9.98/4.12 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.98/4.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.98/4.12 9.98/4.12 9.98/4.12 H-Termination with start terms of the given HASKELL could be proven: 9.98/4.12 9.98/4.12 (0) HASKELL 9.98/4.12 (1) BR [EQUIVALENT, 0 ms] 9.98/4.12 (2) HASKELL 9.98/4.12 (3) COR [EQUIVALENT, 0 ms] 9.98/4.12 (4) HASKELL 9.98/4.12 (5) Narrow [SOUND, 0 ms] 9.98/4.12 (6) QDP 9.98/4.12 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.98/4.12 (8) YES 9.98/4.12 9.98/4.12 9.98/4.12 ---------------------------------------- 9.98/4.12 9.98/4.12 (0) 9.98/4.12 Obligation: 9.98/4.12 mainModule Main 9.98/4.12 module Main where { 9.98/4.12 import qualified Prelude; 9.98/4.12 data List a = Cons a (List a) | Nil ; 9.98/4.12 9.98/4.12 data MyBool = MyTrue | MyFalse ; 9.98/4.12 9.98/4.12 data Tup2 a b = Tup2 a b ; 9.98/4.12 9.98/4.12 otherwise :: MyBool; 9.98/4.12 otherwise = MyTrue; 9.98/4.12 9.98/4.12 span :: (a -> MyBool) -> List a -> Tup2 (List a) (List a); 9.98/4.12 span p Nil = span3 p Nil; 9.98/4.12 span p (Cons vv vw) = span2 p (Cons vv vw); 9.98/4.12 9.98/4.12 span2 p (Cons vv vw) = span2Span1 p vw p vv vw (p vv); 9.98/4.12 9.98/4.12 span2Span0 wx wy p vv vw MyTrue = Tup2 Nil (Cons vv vw); 9.98/4.12 9.98/4.12 span2Span1 wx wy p vv vw MyTrue = Tup2 (Cons vv (span2Ys wx wy)) (span2Zs wx wy); 9.98/4.12 span2Span1 wx wy p vv vw MyFalse = span2Span0 wx wy p vv vw otherwise; 9.98/4.12 9.98/4.12 span2Vu43 wx wy = span wx wy; 9.98/4.12 9.98/4.12 span2Ys wx wy = span2Ys0 wx wy (span2Vu43 wx wy); 9.98/4.12 9.98/4.12 span2Ys0 wx wy (Tup2 ys vx) = ys; 9.98/4.12 9.98/4.12 span2Zs wx wy = span2Zs0 wx wy (span2Vu43 wx wy); 9.98/4.12 9.98/4.12 span2Zs0 wx wy (Tup2 vy zs) = zs; 9.98/4.12 9.98/4.12 span3 p Nil = Tup2 Nil Nil; 9.98/4.12 span3 wv ww = span2 wv ww; 9.98/4.12 9.98/4.12 } 9.98/4.12 9.98/4.12 ---------------------------------------- 9.98/4.12 9.98/4.12 (1) BR (EQUIVALENT) 9.98/4.12 Replaced joker patterns by fresh variables and removed binding patterns. 9.98/4.12 ---------------------------------------- 9.98/4.12 9.98/4.12 (2) 9.98/4.12 Obligation: 9.98/4.12 mainModule Main 9.98/4.12 module Main where { 9.98/4.12 import qualified Prelude; 9.98/4.12 data List a = Cons a (List a) | Nil ; 9.98/4.12 9.98/4.12 data MyBool = MyTrue | MyFalse ; 9.98/4.12 9.98/4.12 data Tup2 b a = Tup2 b a ; 9.98/4.12 9.98/4.12 otherwise :: MyBool; 9.98/4.12 otherwise = MyTrue; 9.98/4.12 9.98/4.12 span :: (a -> MyBool) -> List a -> Tup2 (List a) (List a); 9.98/4.12 span p Nil = span3 p Nil; 9.98/4.12 span p (Cons vv vw) = span2 p (Cons vv vw); 9.98/4.12 9.98/4.12 span2 p (Cons vv vw) = span2Span1 p vw p vv vw (p vv); 9.98/4.12 9.98/4.12 span2Span0 wx wy p vv vw MyTrue = Tup2 Nil (Cons vv vw); 9.98/4.12 9.98/4.12 span2Span1 wx wy p vv vw MyTrue = Tup2 (Cons vv (span2Ys wx wy)) (span2Zs wx wy); 9.98/4.12 span2Span1 wx wy p vv vw MyFalse = span2Span0 wx wy p vv vw otherwise; 9.98/4.12 9.98/4.12 span2Vu43 wx wy = span wx wy; 9.98/4.12 9.98/4.12 span2Ys wx wy = span2Ys0 wx wy (span2Vu43 wx wy); 9.98/4.12 9.98/4.12 span2Ys0 wx wy (Tup2 ys vx) = ys; 9.98/4.12 9.98/4.12 span2Zs wx wy = span2Zs0 wx wy (span2Vu43 wx wy); 9.98/4.12 9.98/4.12 span2Zs0 wx wy (Tup2 vy zs) = zs;
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