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Funct Progr 77531 pair #381920781
details
property
value
status
complete
benchmark
LT_2.hs
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.18224596977 seconds
cpu usage
9.833200679
max memory
5.51006208E8
stage attributes
key
value
output-size
10462
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.hs # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4) HASKELL (5) Narrow [EQUIVALENT, 23 ms] (6) YES ---------------------------------------- (0) Obligation: mainModule Main module Main where { import qualified Prelude; data MyBool = MyTrue | MyFalse ; data Ordering = LT | EQ | GT ; compare0 x y MyTrue = GT; compare1 x y MyTrue = LT; compare1 x y MyFalse = compare0 x y otherwise; compare2 x y MyTrue = EQ; compare2 x y MyFalse = compare1 x y (ltEsMyBool x y); compare3 x y = compare2 x y (esEsMyBool x y); compareMyBool :: MyBool -> MyBool -> Ordering; compareMyBool x y = compare3 x y; esEsMyBool :: MyBool -> MyBool -> MyBool; esEsMyBool MyFalse MyFalse = MyTrue; esEsMyBool MyFalse MyTrue = MyFalse; esEsMyBool MyTrue MyFalse = MyFalse; esEsMyBool MyTrue MyTrue = MyTrue; esEsOrdering :: Ordering -> Ordering -> MyBool; esEsOrdering LT LT = MyTrue; esEsOrdering LT EQ = MyFalse; esEsOrdering LT GT = MyFalse; esEsOrdering EQ LT = MyFalse; esEsOrdering EQ EQ = MyTrue; esEsOrdering EQ GT = MyFalse; esEsOrdering GT LT = MyFalse; esEsOrdering GT EQ = MyFalse; esEsOrdering GT GT = MyTrue; ltEsMyBool :: MyBool -> MyBool -> MyBool; ltEsMyBool MyFalse MyFalse = MyTrue; ltEsMyBool MyFalse MyTrue = MyTrue; ltEsMyBool MyTrue MyFalse = MyFalse; ltEsMyBool MyTrue MyTrue = MyTrue; ltMyBool :: MyBool -> MyBool -> MyBool; ltMyBool x y = esEsOrdering (compareMyBool x y) LT; otherwise :: MyBool; otherwise = MyTrue; } ---------------------------------------- (1) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. ---------------------------------------- (2) Obligation: mainModule Main module Main where { import qualified Prelude; data MyBool = MyTrue | MyFalse ; data Ordering = LT | EQ | GT ; compare0 x y MyTrue = GT; compare1 x y MyTrue = LT; compare1 x y MyFalse = compare0 x y otherwise; compare2 x y MyTrue = EQ; compare2 x y MyFalse = compare1 x y (ltEsMyBool x y);
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