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Haskell 2019-04-01 06.52 pair #433315865
details
property
value
status
complete
benchmark
Prelude_minimum_1.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
13.0709 seconds
cpu usage
27.0903
user time
25.7946
system time
1.29571
max virtual memory
1.8285568E7
max residence set size
3965544.0
stage attributes
key
value
starexec-result
YES
output
24.14/12.22 YES 26.69/12.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 26.69/12.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 26.69/12.96 26.69/12.96 26.69/12.96 H-Termination with start terms of the given HASKELL could be proven: 26.69/12.96 26.69/12.96 (0) HASKELL 26.69/12.96 (1) CR [EQUIVALENT, 0 ms] 26.69/12.96 (2) HASKELL 26.69/12.96 (3) IFR [EQUIVALENT, 0 ms] 26.69/12.96 (4) HASKELL 26.69/12.96 (5) BR [EQUIVALENT, 8 ms] 26.69/12.96 (6) HASKELL 26.69/12.96 (7) COR [EQUIVALENT, 0 ms] 26.69/12.96 (8) HASKELL 26.69/12.96 (9) LetRed [EQUIVALENT, 5 ms] 26.69/12.96 (10) HASKELL 26.69/12.96 (11) NumRed [SOUND, 0 ms] 26.69/12.96 (12) HASKELL 26.69/12.96 (13) Narrow [SOUND, 0 ms] 26.69/12.96 (14) AND 26.69/12.96 (15) QDP 26.69/12.96 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.69/12.96 (17) YES 26.69/12.96 (18) QDP 26.69/12.96 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 26.69/12.96 (20) QDP 26.69/12.96 (21) QDPSizeChangeProof [EQUIVALENT, 41 ms] 26.69/12.96 (22) YES 26.69/12.96 (23) QDP 26.69/12.96 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.69/12.96 (25) YES 26.69/12.96 (26) QDP 26.69/12.96 (27) QDPSizeChangeProof [EQUIVALENT, 8 ms] 26.69/12.96 (28) YES 26.69/12.96 (29) QDP 26.69/12.96 (30) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.69/12.96 (31) YES 26.69/12.96 (32) QDP 26.69/12.96 (33) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.69/12.96 (34) YES 26.69/12.96 (35) QDP 26.69/12.96 (36) QDPSizeChangeProof [EQUIVALENT, 0 ms] 26.69/12.96 (37) YES 26.69/12.96 26.69/12.96 26.69/12.96 ---------------------------------------- 26.69/12.96 26.69/12.96 (0) 26.69/12.96 Obligation: 26.69/12.96 mainModule Main 26.69/12.96 module Main where { 26.69/12.96 import qualified Prelude; 26.69/12.96 } 26.69/12.96 26.69/12.96 ---------------------------------------- 26.69/12.96 26.69/12.96 (1) CR (EQUIVALENT) 26.69/12.96 Case Reductions: 26.69/12.96 The following Case expression 26.69/12.96 "case compare x y of { 26.69/12.96 EQ -> o; 26.69/12.96 LT -> LT; 26.69/12.96 GT -> GT} 26.69/12.96 " 26.69/12.96 is transformed to 26.69/12.96 "primCompAux0 o EQ = o; 26.69/12.96 primCompAux0 o LT = LT; 26.69/12.96 primCompAux0 o GT = GT; 26.69/12.96 " 26.69/12.96 26.69/12.96 ---------------------------------------- 26.69/12.96 26.69/12.96 (2) 26.69/12.96 Obligation: 26.69/12.96 mainModule Main 26.69/12.96 module Main where { 26.69/12.96 import qualified Prelude; 26.69/12.96 } 26.69/12.96 26.69/12.96 ---------------------------------------- 26.69/12.96 26.69/12.96 (3) IFR (EQUIVALENT) 26.69/12.96 If Reductions: 26.69/12.96 The following If expression 26.69/12.96 "if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero" 26.69/12.96 is transformed to 26.69/12.96 "primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y)); 26.69/12.96 primDivNatS0 x y False = Zero; 26.69/12.96 " 26.69/12.96 The following If expression 26.69/12.96 "if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x" 26.69/12.96 is transformed to 26.69/12.96 "primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y); 26.69/12.96 primModNatS0 x y False = Succ x; 26.69/12.96 " 26.69/12.96 26.69/12.96 ---------------------------------------- 26.69/12.96
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