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Haskell 2019-04-01 06.52 pair #433316703
details
property
value
status
complete
benchmark
Prelude_minimum_9.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n152.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.46092 seconds
cpu usage
24.9206
user time
23.8514
system time
1.06917
max virtual memory
1.8285568E7
max residence set size
3893452.0
stage attributes
key
value
starexec-result
YES
output
21.96/8.63 YES 24.65/9.38 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 24.65/9.38 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 24.65/9.38 24.65/9.38 24.65/9.38 H-Termination with start terms of the given HASKELL could be proven: 24.65/9.38 24.65/9.38 (0) HASKELL 24.65/9.38 (1) CR [EQUIVALENT, 0 ms] 24.65/9.38 (2) HASKELL 24.65/9.38 (3) IFR [EQUIVALENT, 0 ms] 24.65/9.38 (4) HASKELL 24.65/9.38 (5) BR [EQUIVALENT, 0 ms] 24.65/9.38 (6) HASKELL 24.65/9.38 (7) COR [EQUIVALENT, 11 ms] 24.65/9.38 (8) HASKELL 24.65/9.38 (9) LetRed [EQUIVALENT, 0 ms] 24.65/9.38 (10) HASKELL 24.65/9.38 (11) NumRed [SOUND, 0 ms] 24.65/9.38 (12) HASKELL 24.65/9.38 (13) Narrow [SOUND, 0 ms] 24.65/9.38 (14) AND 24.65/9.38 (15) QDP 24.65/9.38 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.65/9.38 (17) YES 24.65/9.38 (18) QDP 24.65/9.38 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.65/9.38 (20) YES 24.65/9.38 (21) QDP 24.65/9.38 (22) QDPSizeChangeProof [EQUIVALENT, 31 ms] 24.65/9.38 (23) YES 24.65/9.38 (24) QDP 24.65/9.38 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.65/9.38 (26) YES 24.65/9.38 (27) QDP 24.65/9.38 (28) QDPSizeChangeProof [EQUIVALENT, 36 ms] 24.65/9.38 (29) YES 24.65/9.38 (30) QDP 24.65/9.38 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.65/9.38 (32) YES 24.65/9.38 (33) QDP 24.65/9.38 (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.65/9.38 (35) YES 24.65/9.38 24.65/9.38 24.65/9.38 ---------------------------------------- 24.65/9.38 24.65/9.38 (0) 24.65/9.38 Obligation: 24.65/9.38 mainModule Main 24.65/9.38 module Main where { 24.65/9.38 import qualified Prelude; 24.65/9.38 } 24.65/9.38 24.65/9.38 ---------------------------------------- 24.65/9.38 24.65/9.38 (1) CR (EQUIVALENT) 24.65/9.38 Case Reductions: 24.65/9.38 The following Case expression 24.65/9.38 "case compare x y of { 24.65/9.38 EQ -> o; 24.65/9.38 LT -> LT; 24.65/9.38 GT -> GT} 24.65/9.38 " 24.65/9.38 is transformed to 24.65/9.38 "primCompAux0 o EQ = o; 24.65/9.38 primCompAux0 o LT = LT; 24.65/9.38 primCompAux0 o GT = GT; 24.65/9.38 " 24.65/9.38 24.65/9.38 ---------------------------------------- 24.65/9.38 24.65/9.38 (2) 24.65/9.38 Obligation: 24.65/9.38 mainModule Main 24.65/9.38 module Main where { 24.65/9.38 import qualified Prelude; 24.65/9.38 } 24.65/9.38 24.65/9.38 ---------------------------------------- 24.65/9.38 24.65/9.38 (3) IFR (EQUIVALENT) 24.65/9.38 If Reductions: 24.65/9.38 The following If expression 24.65/9.38 "if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero" 24.65/9.38 is transformed to 24.65/9.38 "primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y)); 24.65/9.38 primDivNatS0 x y False = Zero; 24.65/9.38 " 24.65/9.38 The following If expression 24.65/9.38 "if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x" 24.65/9.38 is transformed to 24.65/9.38 "primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y); 24.65/9.38 primModNatS0 x y False = Succ x; 24.65/9.38 " 24.65/9.38 24.65/9.38 ---------------------------------------- 24.65/9.38 24.65/9.38 (4) 24.65/9.38 Obligation:
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