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Haskell 2019-04-01 06.52 pair #433315880
details
property
value
status
complete
benchmark
Prelude_max_12.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.7242 seconds
cpu usage
18.8578
user time
17.874
system time
0.983757
max virtual memory
1.8285568E7
max residence set size
3112140.0
stage attributes
key
value
starexec-result
YES
output
15.91/7.21 YES 18.54/7.91 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 18.54/7.91 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.54/7.91 18.54/7.91 18.54/7.91 H-Termination with start terms of the given HASKELL could be proven: 18.54/7.91 18.54/7.91 (0) HASKELL 18.54/7.91 (1) CR [EQUIVALENT, 0 ms] 18.54/7.91 (2) HASKELL 18.54/7.91 (3) IFR [EQUIVALENT, 0 ms] 18.54/7.91 (4) HASKELL 18.54/7.91 (5) BR [EQUIVALENT, 0 ms] 18.54/7.91 (6) HASKELL 18.54/7.91 (7) COR [EQUIVALENT, 4 ms] 18.54/7.91 (8) HASKELL 18.54/7.91 (9) LetRed [EQUIVALENT, 0 ms] 18.54/7.91 (10) HASKELL 18.54/7.91 (11) NumRed [SOUND, 9 ms] 18.54/7.91 (12) HASKELL 18.54/7.91 (13) Narrow [SOUND, 0 ms] 18.54/7.91 (14) AND 18.54/7.91 (15) QDP 18.54/7.91 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.54/7.91 (17) YES 18.54/7.91 (18) QDP 18.54/7.91 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 18.54/7.91 (20) QDP 18.54/7.91 (21) QDPSizeChangeProof [EQUIVALENT, 30 ms] 18.54/7.91 (22) YES 18.54/7.91 (23) QDP 18.54/7.91 (24) QDPSizeChangeProof [EQUIVALENT, 19 ms] 18.54/7.91 (25) YES 18.54/7.91 (26) QDP 18.54/7.91 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.54/7.91 (28) YES 18.54/7.91 (29) QDP 18.54/7.91 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.54/7.91 (31) YES 18.54/7.91 (32) QDP 18.54/7.91 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.54/7.91 (34) YES 18.54/7.91 18.54/7.91 18.54/7.91 ---------------------------------------- 18.54/7.91 18.54/7.91 (0) 18.54/7.91 Obligation: 18.54/7.91 mainModule Main 18.54/7.91 module Main where { 18.54/7.91 import qualified Prelude; 18.54/7.91 } 18.54/7.91 18.54/7.91 ---------------------------------------- 18.54/7.91 18.54/7.91 (1) CR (EQUIVALENT) 18.54/7.91 Case Reductions: 18.54/7.91 The following Case expression 18.54/7.91 "case compare x y of { 18.54/7.91 EQ -> o; 18.54/7.91 LT -> LT; 18.54/7.91 GT -> GT} 18.54/7.91 " 18.54/7.91 is transformed to 18.54/7.91 "primCompAux0 o EQ = o; 18.54/7.91 primCompAux0 o LT = LT; 18.54/7.91 primCompAux0 o GT = GT; 18.54/7.91 " 18.54/7.91 18.54/7.91 ---------------------------------------- 18.54/7.91 18.54/7.91 (2) 18.54/7.91 Obligation: 18.54/7.91 mainModule Main 18.54/7.91 module Main where { 18.54/7.91 import qualified Prelude; 18.54/7.91 } 18.54/7.91 18.54/7.91 ---------------------------------------- 18.54/7.91 18.54/7.91 (3) IFR (EQUIVALENT) 18.54/7.91 If Reductions: 18.54/7.91 The following If expression 18.54/7.91 "if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero" 18.54/7.91 is transformed to 18.54/7.91 "primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y)); 18.54/7.91 primDivNatS0 x y False = Zero; 18.54/7.91 " 18.54/7.91 The following If expression 18.54/7.91 "if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x" 18.54/7.91 is transformed to 18.54/7.91 "primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y); 18.54/7.91 primModNatS0 x y False = Succ x; 18.54/7.91 " 18.54/7.91 18.54/7.91 ---------------------------------------- 18.54/7.91 18.54/7.91 (4) 18.54/7.91 Obligation: 18.54/7.91 mainModule Main
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