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Haskell 2019-04-01 06.52 pair #433317247
details
property
value
status
complete
benchmark
scanr_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n057.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.09637 seconds
cpu usage
9.74413
user time
9.43968
system time
0.304454
max virtual memory
1.828352E7
max residence set size
598684.0
stage attributes
key
value
starexec-result
YES
output
7.89/3.48 YES 9.62/3.98 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.62/3.98 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.62/3.98 9.62/3.98 9.62/3.98 H-Termination with start terms of the given HASKELL could be proven: 9.62/3.98 9.62/3.98 (0) HASKELL 9.62/3.98 (1) BR [EQUIVALENT, 0 ms] 9.62/3.98 (2) HASKELL 9.62/3.98 (3) COR [EQUIVALENT, 0 ms] 9.62/3.98 (4) HASKELL 9.62/3.98 (5) Narrow [SOUND, 0 ms] 9.62/3.98 (6) QDP 9.62/3.98 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.62/3.98 (8) YES 9.62/3.98 9.62/3.98 9.62/3.98 ---------------------------------------- 9.62/3.98 9.62/3.98 (0) 9.62/3.98 Obligation: 9.62/3.98 mainModule Main 9.62/3.98 module Main where { 9.62/3.98 import qualified Prelude; 9.62/3.98 data List a = Cons a (List a) | Nil ; 9.62/3.98 9.62/3.98 scanr :: (a -> b -> b) -> b -> List a -> List b; 9.62/3.98 scanr f q0 Nil = Cons q0 Nil; 9.62/3.98 scanr f q0 (Cons x xs) = Cons (f x (scanrQ f q0 xs)) (scanrQs f q0 xs); 9.62/3.98 9.62/3.98 scanrQ vw vx vy = scanrQ1 vw vx vy (scanrVu40 vw vx vy); 9.62/3.98 9.62/3.98 scanrQ1 vw vx vy (Cons q vv) = q; 9.62/3.98 9.62/3.98 scanrQs vw vx vy = scanrQs0 vw vx vy (scanrVu40 vw vx vy); 9.62/3.98 9.62/3.98 scanrQs0 vw vx vy qs = qs; 9.62/3.98 9.62/3.98 scanrVu40 vw vx vy = scanr vw vx vy; 9.62/3.98 9.62/3.98 } 9.62/3.98 9.62/3.98 ---------------------------------------- 9.62/3.98 9.62/3.98 (1) BR (EQUIVALENT) 9.62/3.98 Replaced joker patterns by fresh variables and removed binding patterns. 9.62/3.98 ---------------------------------------- 9.62/3.98 9.62/3.98 (2) 9.62/3.98 Obligation: 9.62/3.98 mainModule Main 9.62/3.98 module Main where { 9.62/3.98 import qualified Prelude; 9.62/3.98 data List a = Cons a (List a) | Nil ; 9.62/3.98 9.62/3.98 scanr :: (a -> b -> b) -> b -> List a -> List b; 9.62/3.98 scanr f q0 Nil = Cons q0 Nil; 9.62/3.98 scanr f q0 (Cons x xs) = Cons (f x (scanrQ f q0 xs)) (scanrQs f q0 xs); 9.62/3.98 9.62/3.98 scanrQ vw vx vy = scanrQ1 vw vx vy (scanrVu40 vw vx vy); 9.62/3.98 9.62/3.98 scanrQ1 vw vx vy (Cons q vv) = q; 9.62/3.98 9.62/3.98 scanrQs vw vx vy = scanrQs0 vw vx vy (scanrVu40 vw vx vy); 9.62/3.98 9.62/3.98 scanrQs0 vw vx vy qs = qs; 9.62/3.98 9.62/3.98 scanrVu40 vw vx vy = scanr vw vx vy; 9.62/3.98 9.62/3.98 } 9.62/3.98 9.62/3.98 ---------------------------------------- 9.62/3.98 9.62/3.98 (3) COR (EQUIVALENT) 9.62/3.98 Cond Reductions: 9.62/3.98 The following Function with conditions 9.62/3.98 "undefined |Falseundefined; 9.62/3.98 " 9.62/3.98 is transformed to 9.62/3.98 "undefined = undefined1; 9.62/3.98 " 9.62/3.98 "undefined0 True = undefined; 9.62/3.98 " 9.62/3.98 "undefined1 = undefined0 False; 9.62/3.98 " 9.62/3.98 9.62/3.98 ---------------------------------------- 9.62/3.98 9.62/3.98 (4) 9.62/3.98 Obligation: 9.62/3.98 mainModule Main 9.62/3.98 module Main where { 9.62/3.98 import qualified Prelude; 9.62/3.98 data List a = Cons a (List a) | Nil ; 9.62/3.98 9.62/3.98 scanr :: (a -> b -> b) -> b -> List a -> List b; 9.62/3.98 scanr f q0 Nil = Cons q0 Nil; 9.62/3.98 scanr f q0 (Cons x xs) = Cons (f x (scanrQ f q0 xs)) (scanrQs f q0 xs); 9.62/3.98
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