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Haskell pair #487598318
details
property
value
status
complete
benchmark
GTEQ_3.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
basic_haskell
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.14279508591 seconds
cpu usage
9.848589876
max memory
5.8253312E8
stage attributes
key
value
output-size
11574
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) BR [EQUIVALENT, 0 ms] (2) HASKELL (3) COR [EQUIVALENT, 0 ms] (4)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, 24 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; fsEsOrdering :: Ordering -> Ordering -> MyBool; fsEsOrdering x y = not (esEsOrdering x y); gtEsMyBool :: MyBool -> MyBool -> MyBool; gtEsMyBool x y = fsEsOrdering (compareMyBool x y) LT; ltEsMyBool :: MyBool -> MyBool -> MyBool; ltEsMyBool MyFalse MyFalse = MyTrue; ltEsMyBool MyFalse MyTrue = MyTrue; ltEsMyBool MyTrue MyFalse = MyFalse; ltEsMyBool MyTrue MyTrue = MyTrue; not :: MyBool -> MyBool; not MyTrue = MyFalse; not MyFalse = MyTrue; 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;
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