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Haskell 2019-04-01 06.52 pair #433316154
details
property
value
status
complete
benchmark
Prelude_max_2.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.99629 seconds
cpu usage
16.0513
user time
15.6195
system time
0.431764
max virtual memory
1.8285568E7
max residence set size
1185240.0
stage attributes
key
value
starexec-result
YES
output
13.25/5.18 YES 15.88/5.90 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 15.88/5.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 15.88/5.90 15.88/5.90 15.88/5.90 H-Termination with start terms of the given HASKELL could be proven: 15.88/5.90 15.88/5.90 (0) HASKELL 15.88/5.90 (1) CR [EQUIVALENT, 0 ms] 15.88/5.90 (2) HASKELL 15.88/5.90 (3) IFR [EQUIVALENT, 0 ms] 15.88/5.90 (4) HASKELL 15.88/5.90 (5) BR [EQUIVALENT, 0 ms] 15.88/5.90 (6) HASKELL 15.88/5.90 (7) COR [EQUIVALENT, 14 ms] 15.88/5.90 (8) HASKELL 15.88/5.90 (9) LetRed [EQUIVALENT, 0 ms] 15.88/5.90 (10) HASKELL 15.88/5.90 (11) NumRed [SOUND, 0 ms] 15.88/5.90 (12) HASKELL 15.88/5.90 (13) Narrow [SOUND, 0 ms] 15.88/5.90 (14) AND 15.88/5.90 (15) QDP 15.88/5.90 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.88/5.90 (17) YES 15.88/5.90 (18) QDP 15.88/5.90 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 15.88/5.90 (20) QDP 15.88/5.90 (21) QDPSizeChangeProof [EQUIVALENT, 38 ms] 15.88/5.90 (22) YES 15.88/5.90 (23) QDP 15.88/5.90 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.88/5.90 (25) YES 15.88/5.90 (26) QDP 15.88/5.90 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.88/5.90 (28) YES 15.88/5.90 (29) QDP 15.88/5.90 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.88/5.90 (31) YES 15.88/5.90 (32) QDP 15.88/5.90 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 15.88/5.90 (34) YES 15.88/5.90 15.88/5.90 15.88/5.90 ---------------------------------------- 15.88/5.90 15.88/5.90 (0) 15.88/5.90 Obligation: 15.88/5.90 mainModule Main 15.88/5.90 module Main where { 15.88/5.90 import qualified Prelude; 15.88/5.90 } 15.88/5.90 15.88/5.90 ---------------------------------------- 15.88/5.90 15.88/5.90 (1) CR (EQUIVALENT) 15.88/5.90 Case Reductions: 15.88/5.90 The following Case expression 15.88/5.90 "case compare x y of { 15.88/5.90 EQ -> o; 15.88/5.90 LT -> LT; 15.88/5.90 GT -> GT} 15.88/5.90 " 15.88/5.90 is transformed to 15.88/5.90 "primCompAux0 o EQ = o; 15.88/5.90 primCompAux0 o LT = LT; 15.88/5.90 primCompAux0 o GT = GT; 15.88/5.90 " 15.88/5.90 15.88/5.90 ---------------------------------------- 15.88/5.90 15.88/5.90 (2) 15.88/5.90 Obligation: 15.88/5.90 mainModule Main 15.88/5.90 module Main where { 15.88/5.90 import qualified Prelude; 15.88/5.90 } 15.88/5.90 15.88/5.90 ---------------------------------------- 15.88/5.90 15.88/5.90 (3) IFR (EQUIVALENT) 15.88/5.90 If Reductions: 15.88/5.90 The following If expression 15.88/5.90 "if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero" 15.88/5.90 is transformed to 15.88/5.90 "primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y)); 15.88/5.90 primDivNatS0 x y False = Zero; 15.88/5.90 " 15.88/5.90 The following If expression 15.88/5.90 "if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x" 15.88/5.90 is transformed to 15.88/5.90 "primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y); 15.88/5.90 primModNatS0 x y False = Succ x; 15.88/5.90 " 15.88/5.90 15.88/5.90 ---------------------------------------- 15.88/5.90 15.88/5.90 (4) 15.88/5.90 Obligation: 15.88/5.90 mainModule Main
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