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Haskell 2019-04-01 06.52 pair #433316222
details
property
value
status
complete
benchmark
Prelude_ceiling_2.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
full_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.96071 seconds
cpu usage
21.7194
user time
21.0663
system time
0.653056
max virtual memory
1.82858E7
max residence set size
1939864.0
stage attributes
key
value
starexec-result
YES
output
18.77/7.15 YES 21.51/7.86 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 21.51/7.86 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.51/7.86 21.51/7.86 21.51/7.86 H-Termination with start terms of the given HASKELL could be proven: 21.51/7.86 21.51/7.86 (0) HASKELL 21.51/7.86 (1) LR [EQUIVALENT, 0 ms] 21.51/7.86 (2) HASKELL 21.51/7.86 (3) IFR [EQUIVALENT, 0 ms] 21.51/7.86 (4) HASKELL 21.51/7.86 (5) BR [EQUIVALENT, 0 ms] 21.51/7.86 (6) HASKELL 21.51/7.86 (7) COR [EQUIVALENT, 0 ms] 21.51/7.86 (8) HASKELL 21.51/7.86 (9) LetRed [EQUIVALENT, 0 ms] 21.51/7.86 (10) HASKELL 21.51/7.86 (11) NumRed [SOUND, 0 ms] 21.51/7.86 (12) HASKELL 21.51/7.86 (13) Narrow [SOUND, 0 ms] 21.51/7.86 (14) AND 21.51/7.86 (15) QDP 21.51/7.86 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.51/7.86 (17) YES 21.51/7.86 (18) QDP 21.51/7.86 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 21.51/7.86 (20) QDP 21.51/7.86 (21) QDPOrderProof [EQUIVALENT, 43 ms] 21.51/7.86 (22) QDP 21.51/7.86 (23) DependencyGraphProof [EQUIVALENT, 0 ms] 21.51/7.86 (24) QDP 21.51/7.86 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.51/7.86 (26) YES 21.51/7.86 (27) QDP 21.51/7.86 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.51/7.86 (29) YES 21.51/7.86 (30) QDP 21.51/7.86 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.51/7.86 (32) YES 21.51/7.86 (33) QDP 21.51/7.86 (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.51/7.86 (35) YES 21.51/7.86 (36) QDP 21.51/7.86 (37) QDPSizeChangeProof [EQUIVALENT, 0 ms] 21.51/7.86 (38) YES 21.51/7.86 21.51/7.86 21.51/7.86 ---------------------------------------- 21.51/7.86 21.51/7.86 (0) 21.51/7.86 Obligation: 21.51/7.86 mainModule Main 21.51/7.86 module Main where { 21.51/7.86 import qualified Prelude; 21.51/7.86 } 21.51/7.86 21.51/7.86 ---------------------------------------- 21.51/7.86 21.51/7.86 (1) LR (EQUIVALENT) 21.51/7.86 Lambda Reductions: 21.51/7.86 The following Lambda expression 21.51/7.86 "\(_,r)->r" 21.51/7.86 is transformed to 21.51/7.86 "r0 (_,r) = r; 21.51/7.86 " 21.51/7.86 The following Lambda expression 21.51/7.86 "\(n,_)->n" 21.51/7.86 is transformed to 21.51/7.86 "n0 (n,_) = n; 21.51/7.86 " 21.51/7.86 The following Lambda expression 21.51/7.86 "\(q,_)->q" 21.51/7.86 is transformed to 21.51/7.86 "q1 (q,_) = q; 21.51/7.86 " 21.51/7.86 The following Lambda expression 21.51/7.86 "\(_,r)->r" 21.51/7.86 is transformed to 21.51/7.86 "r1 (_,r) = r; 21.51/7.86 " 21.51/7.86 21.51/7.86 ---------------------------------------- 21.51/7.86 21.51/7.86 (2) 21.51/7.86 Obligation: 21.51/7.86 mainModule Main 21.51/7.86 module Main where { 21.51/7.86 import qualified Prelude; 21.51/7.86 } 21.51/7.86 21.51/7.86 ---------------------------------------- 21.51/7.86 21.51/7.86 (3) IFR (EQUIVALENT) 21.51/7.86 If Reductions: 21.51/7.86 The following If expression 21.51/7.86 "if r > 0 then n + 1 else n" 21.51/7.86 is transformed to 21.51/7.86 "ceiling0 True = n + 1; 21.51/7.86 ceiling0 False = n;
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