Haskell 2019-04-01 06.52 pair #433315940

details

property	value
status	complete
benchmark	Monad_liftM5_4.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n118.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.92136 seconds
cpu usage	11.2703
user time	10.968
system time	0.30234
max virtual memory	1.828352E7
max residence set size	615436.0

stage attributes

key	value
starexec-result	YES

output

9.06/3.85	YES
11.06/4.40	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
11.06/4.40	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.06/4.40	
11.06/4.40	
11.06/4.40	H-Termination with start terms of the given HASKELL could be proven:
11.06/4.40	
11.06/4.40	(0) HASKELL
11.06/4.40	(1) LR [EQUIVALENT, 0 ms]
11.06/4.40	(2) HASKELL
11.06/4.40	(3) BR [EQUIVALENT, 0 ms]
11.06/4.40	(4) HASKELL
11.06/4.40	(5) COR [EQUIVALENT, 0 ms]
11.06/4.40	(6) HASKELL
11.06/4.40	(7) Narrow [EQUIVALENT, 9 ms]
11.06/4.40	(8) YES
11.06/4.40	
11.06/4.40	
11.06/4.40	----------------------------------------
11.06/4.40	
11.06/4.40	(0)
11.06/4.40	Obligation:
11.06/4.40	mainModule Main 
11.06/4.40	module Maybe where {
11.06/4.40	import qualified Main;
11.06/4.40	import qualified Monad;
11.06/4.40	import qualified Prelude;
11.06/4.40	}
11.06/4.40	module Main where {
11.06/4.40	import qualified Maybe;
11.06/4.40	import qualified Monad;
11.06/4.40	import qualified Prelude;
11.06/4.40	}
11.06/4.40	module Monad where {
11.06/4.40	import qualified Main;
11.06/4.40	import qualified Maybe;
11.06/4.40	import qualified Prelude;
11.06/4.40	liftM5 :: Monad b => (c  ->  d  ->  g  ->  a  ->  e  ->  f)  ->  b c  ->  b d  ->  b g  ->  b a  ->  b e  ->  b f;
11.06/4.40	liftM5 f m1 m2 m3 m4 m5 = m1 >>= (\x1 ->m2 >>= (\x2 ->m3 >>= (\x3 ->m4 >>= (\x4 ->m5 >>= (\x5 ->return (f x1 x2 x3 x4 x5))))));
11.06/4.40	
11.06/4.40	}
11.06/4.40	
11.06/4.40	----------------------------------------
11.06/4.40	
11.06/4.40	(1) LR (EQUIVALENT)
11.06/4.40	Lambda Reductions:
11.06/4.40	The following Lambda expression
11.06/4.40	"\x5->return (f x1 x2 x3 x4 x5)"
11.06/4.40	is transformed to
11.06/4.40	"liftM50 f x1 x2 x3 x4 x5 = return (f x1 x2 x3 x4 x5);
11.06/4.40	"
11.06/4.40	The following Lambda expression
11.06/4.40	"\x4->m5 >>= liftM50 f x1 x2 x3 x4"
11.06/4.40	is transformed to
11.06/4.40	"liftM51 m5 f x1 x2 x3 x4 = m5 >>= liftM50 f x1 x2 x3 x4;
11.06/4.40	"
11.06/4.40	The following Lambda expression
11.06/4.40	"\x3->m4 >>= liftM51 m5 f x1 x2 x3"
11.06/4.40	is transformed to
11.06/4.40	"liftM52 m4 m5 f x1 x2 x3 = m4 >>= liftM51 m5 f x1 x2 x3;
11.06/4.40	"
11.06/4.40	The following Lambda expression
11.06/4.40	"\x2->m3 >>= liftM52 m4 m5 f x1 x2"
11.06/4.40	is transformed to
11.06/4.40	"liftM53 m3 m4 m5 f x1 x2 = m3 >>= liftM52 m4 m5 f x1 x2;
11.06/4.40	"
11.06/4.40	The following Lambda expression
11.06/4.40	"\x1->m2 >>= liftM53 m3 m4 m5 f x1"
11.06/4.40	is transformed to
11.06/4.40	"liftM54 m2 m3 m4 m5 f x1 = m2 >>= liftM53 m3 m4 m5 f x1;
11.06/4.40	"
11.06/4.40	
11.06/4.40	----------------------------------------
11.06/4.40	
11.06/4.40	(2)
11.06/4.40	Obligation:
11.06/4.40	mainModule Main 
11.06/4.40	module Maybe where {
11.06/4.40	import qualified Main;
11.06/4.40	import qualified Monad;
11.06/4.40	import qualified Prelude;
11.06/4.40	}
11.06/4.40	module Main where {
11.06/4.40	import qualified Maybe;
11.06/4.40	import qualified Monad;
11.06/4.40	import qualified Prelude;
11.06/4.40	}
11.06/4.40	module Monad where {
11.06/4.40	import qualified Main;
11.06/4.40	import qualified Maybe;
11.06/4.40	import qualified Prelude;
11.06/4.40	liftM5 :: Monad c => (g  ->  a  ->  e  ->  b  ->  d  ->  f)  ->  c g  ->  c a  ->  c e  ->  c b  ->  c d  ->  c f;
11.06/4.40	liftM5 f m1 m2 m3 m4 m5 = m1 >>= liftM54 m2 m3 m4 m5 f;
11.06/4.40	
11.06/4.40	liftM50 f x1 x2 x3 x4 x5 = return (f x1 x2 x3 x4 x5);
11.06/4.40	
11.06/4.40	liftM51 m5 f x1 x2 x3 x4 = m5 >>= liftM50 f x1 x2 x3 x4;
11.06/4.40	
11.06/4.40	liftM52 m4 m5 f x1 x2 x3 = m4 >>= liftM51 m5 f x1 x2 x3;
11.06/4.40

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