Funct Progr 77531 pair #381921104

details

property	value
status	complete
benchmark	Prelude_SLASHEQ_10.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n050.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.33718800545 seconds
cpu usage	11.162687163
max memory	6.023168E8

stage attributes

key	value
output-size	150695
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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 [SOUND, 0 ms]
(6) AND
    (7) QDP
        (8) QDPSizeChangeProof [EQUIVALENT, 19 ms]
        (9) YES
    (10) QDP
        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (12) YES
    (13) QDP
        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (15) YES
    (16) QDP
        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (18) YES


----------------------------------------

(0)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(1) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.
----------------------------------------

(2)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(3) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"

----------------------------------------

(4)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(5) Narrow (SOUND)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="(/=) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="(/=) xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5 -> 18[label="",style="dashed", color="red", weight=0];
5[label="not (xv3 == xv4)",fontsize=16,color="magenta"];5 -> 19[label="",style="dashed", color="magenta", weight=3];
19[label="xv3 == xv4",fontsize=16,color="burlywood",shape="triangle"];644[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];19 -> 644[label="",style="solid", color="burlywood", weight=9];
644 -> 24[label="",style="solid", color="burlywood", weight=3];
645[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];19 -> 645[label="",style="solid", color="burlywood", weight=9];
645 -> 25[label="",style="solid", color="burlywood", weight=3];
18[label="not xv7",fontsize=16,color="burlywood",shape="triangle"];646[label="xv7/False",fontsize=10,color="white",style="solid",shape="box"];18 -> 646[label="",style="solid", color="burlywood", weight=9];
646 -> 26[label="",style="solid", color="burlywood", weight=3];
647[label="xv7/True",fontsize=10,color="white",style="solid",shape="box"];18 -> 647[label="",style="solid", color="burlywood", weight=9];
647 -> 27[label="",style="solid", color="burlywood", weight=3];
24[label="Nothing == xv4",fontsize=16,color="burlywood",shape="box"];648[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];24 -> 648[label="",style="solid", color="burlywood", weight=9];

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