/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files


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


MAYBE
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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 not be shown:

(0) HASKELL
(1) LR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) BR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) COR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) Narrow [SOUND, 0 ms]
(8) QDP
    (9) NonTerminationLoopProof [COMPLETE, 0 ms]
    (10) NO
(11) Narrow [COMPLETE, 0 ms]
(12) TRUE


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

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

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

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\xs->return (x : xs)"
is transformed to
"getContents0 x xs = return (x : xs);
"
The following Lambda expression
"\x->getContents >>= getContents0 x"
is transformed to
"getContents1 x = getContents >>= getContents0 x;
"

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

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

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

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

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

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

(5) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"
The following Function with conditions
"getChar |terminatorreturn terminator|otherwiseaIOE IOError_EOF;
"
is transformed to
"getChar  = getChar2;
"
"getChar1 True = return terminator;
getChar1 False = getChar0 otherwise;
"
"getChar0 True = aIOE IOError_EOF;
"
"getChar2  = getChar1 terminator;
"
The following Function with conditions
"getContents |terminatorreturn []|otherwisegetChar >>= getContents1;
"
is transformed to
"getContents  = getContents4;
"
"getContents3 True = return [];
getContents3 False = getContents2 otherwise;
"
"getContents2 True = getChar >>= getContents1;
"
"getContents4  = getContents3 terminator;
"

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

(6)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

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

(7) Narrow (SOUND)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="getContents",fontsize=16,color="black",shape="triangle"];1 -> 3[label="",style="solid", color="black", weight=3];
3[label="getContents4",fontsize=16,color="black",shape="box"];3 -> 4[label="",style="solid", color="black", weight=3];
4[label="getContents3 terminator",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="getContents3 ter0m",fontsize=16,color="burlywood",shape="box"];46[label="ter0m/False",fontsize=10,color="white",style="solid",shape="box"];5 -> 46[label="",style="solid", color="burlywood", weight=9];
46 -> 6[label="",style="solid", color="burlywood", weight=3];
47[label="ter0m/True",fontsize=10,color="white",style="solid",shape="box"];5 -> 47[label="",style="solid", color="burlywood", weight=9];
47 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="getContents3 False",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="getContents3 True",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="getContents2 otherwise",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="return []",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10[label="getContents2 True",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
11[label="primretIO []",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
12[label="getChar >>= getContents1",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
13[label="AProVE_IO []",fontsize=16,color="green",shape="box"];14[label="primbindIO getChar getContents1",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3];
15[label="primbindIO getChar2 getContents1",fontsize=16,color="black",shape="box"];15 -> 16[label="",style="solid", color="black", weight=3];
16[label="primbindIO (getChar1 terminator) getContents1",fontsize=16,color="black",shape="box"];16 -> 17[label="",style="solid", color="black", weight=3];
17[label="primbindIO (getChar1 ter1m) getContents1",fontsize=16,color="burlywood",shape="box"];48[label="ter1m/False",fontsize=10,color="white",style="solid",shape="box"];17 -> 48[label="",style="solid", color="burlywood", weight=9];
48 -> 18[label="",style="solid", color="burlywood", weight=3];
49[label="ter1m/True",fontsize=10,color="white",style="solid",shape="box"];17 -> 49[label="",style="solid", color="burlywood", weight=9];
49 -> 19[label="",style="solid", color="burlywood", weight=3];
18[label="primbindIO (getChar1 False) getContents1",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3];
19[label="primbindIO (getChar1 True) getContents1",fontsize=16,color="black",shape="box"];19 -> 21[label="",style="solid", color="black", weight=3];
20[label="primbindIO (getChar0 otherwise) getContents1",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3];
21[label="primbindIO (return terminator) getContents1",fontsize=16,color="black",shape="box"];21 -> 23[label="",style="solid", color="black", weight=3];
22[label="primbindIO (getChar0 True) getContents1",fontsize=16,color="black",shape="box"];22 -> 24[label="",style="solid", color="black", weight=3];
23[label="primbindIO (primretIO terminator) getContents1",fontsize=16,color="black",shape="box"];23 -> 25[label="",style="solid", color="black", weight=3];
24[label="primbindIO (aIOE IOError_EOF) getContents1",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3];
25[label="primbindIO (AProVE_IO terminator) getContents1",fontsize=16,color="black",shape="box"];25 -> 27[label="",style="solid", color="black", weight=3];
26[label="primbindIO (AProVE_Exception (AET_IOError (IOError IOError_EOF [] [] Nothing))) getContents1",fontsize=16,color="black",shape="box"];26 -> 28[label="",style="solid", color="black", weight=3];
27[label="getContents1 terminator",fontsize=16,color="black",shape="box"];27 -> 29[label="",style="solid", color="black", weight=3];
28[label="AProVE_Exception (AET_IOError (IOError IOError_EOF [] [] Nothing))",fontsize=16,color="green",shape="box"];29 -> 30[label="",style="dashed", color="red", weight=0];
29[label="getContents >>= getContents0 terminator",fontsize=16,color="magenta"];29 -> 31[label="",style="dashed", color="magenta", weight=3];
31 -> 1[label="",style="dashed", color="red", weight=0];
31[label="getContents",fontsize=16,color="magenta"];30[label="vx3 >>= getContents0 terminator",fontsize=16,color="black",shape="triangle"];30 -> 32[label="",style="solid", color="black", weight=3];
32[label="primbindIO vx3 (getContents0 terminator)",fontsize=16,color="burlywood",shape="box"];50[label="vx3/IO vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 50[label="",style="solid", color="burlywood", weight=9];
50 -> 33[label="",style="solid", color="burlywood", weight=3];
51[label="vx3/AProVE_IO vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 51[label="",style="solid", color="burlywood", weight=9];
51 -> 34[label="",style="solid", color="burlywood", weight=3];
52[label="vx3/AProVE_Exception vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 52[label="",style="solid", color="burlywood", weight=9];
52 -> 35[label="",style="solid", color="burlywood", weight=3];
53[label="vx3/AProVE_Error vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 53[label="",style="solid", color="burlywood", weight=9];
53 -> 36[label="",style="solid", color="burlywood", weight=3];
33[label="primbindIO (IO vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];33 -> 37[label="",style="solid", color="black", weight=3];
34[label="primbindIO (AProVE_IO vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];34 -> 38[label="",style="solid", color="black", weight=3];
35[label="primbindIO (AProVE_Exception vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];35 -> 39[label="",style="solid", color="black", weight=3];
36[label="primbindIO (AProVE_Error vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];36 -> 40[label="",style="solid", color="black", weight=3];
37[label="error []",fontsize=16,color="red",shape="box"];38[label="getContents0 terminator vx30",fontsize=16,color="black",shape="box"];38 -> 41[label="",style="solid", color="black", weight=3];
39[label="AProVE_Exception vx30",fontsize=16,color="green",shape="box"];40[label="AProVE_Error vx30",fontsize=16,color="green",shape="box"];41[label="return (terminator : vx30)",fontsize=16,color="black",shape="box"];41 -> 42[label="",style="solid", color="black", weight=3];
42[label="primretIO (terminator : vx30)",fontsize=16,color="black",shape="box"];42 -> 43[label="",style="solid", color="black", weight=3];
43[label="AProVE_IO (terminator : vx30)",fontsize=16,color="green",shape="box"];43 -> 44[label="",style="dashed", color="green", weight=3];
44[label="terminator",fontsize=16,color="black",shape="box"];44 -> 45[label="",style="solid", color="black", weight=3];
45[label="ter2m",fontsize=16,color="green",shape="box"];}

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

(8)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_getContents -> new_getContents

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(9) NonTerminationLoopProof (COMPLETE)
We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
Found a loop by semiunifying a rule from P directly.

s = new_getContents evaluates to  t =new_getContents

Thus s starts an infinite chain as s semiunifies with t with the following substitutions:
* Matcher: [ ]
* Semiunifier: [ ]

--------------------------------------------------------------------------------
Rewriting sequence

The DP semiunifies directly so there is only one rewrite step from new_getContents to new_getContents.




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

(10)
NO

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

(11) Narrow (COMPLETE)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="getContents",fontsize=16,color="black",shape="triangle"];1 -> 3[label="",style="solid", color="black", weight=3];
3[label="getContents4",fontsize=16,color="black",shape="box"];3 -> 4[label="",style="solid", color="black", weight=3];
4[label="getContents3 terminator",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="getContents3 ter0m",fontsize=16,color="burlywood",shape="box"];46[label="ter0m/False",fontsize=10,color="white",style="solid",shape="box"];5 -> 46[label="",style="solid", color="burlywood", weight=9];
46 -> 6[label="",style="solid", color="burlywood", weight=3];
47[label="ter0m/True",fontsize=10,color="white",style="solid",shape="box"];5 -> 47[label="",style="solid", color="burlywood", weight=9];
47 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="getContents3 False",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="getContents3 True",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="getContents2 otherwise",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="return []",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10[label="getContents2 True",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3];
11[label="primretIO []",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
12[label="getChar >>= getContents1",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3];
13[label="AProVE_IO []",fontsize=16,color="green",shape="box"];14[label="primbindIO getChar getContents1",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3];
15[label="primbindIO getChar2 getContents1",fontsize=16,color="black",shape="box"];15 -> 16[label="",style="solid", color="black", weight=3];
16[label="primbindIO (getChar1 terminator) getContents1",fontsize=16,color="black",shape="box"];16 -> 17[label="",style="solid", color="black", weight=3];
17[label="primbindIO (getChar1 ter1m) getContents1",fontsize=16,color="burlywood",shape="box"];48[label="ter1m/False",fontsize=10,color="white",style="solid",shape="box"];17 -> 48[label="",style="solid", color="burlywood", weight=9];
48 -> 18[label="",style="solid", color="burlywood", weight=3];
49[label="ter1m/True",fontsize=10,color="white",style="solid",shape="box"];17 -> 49[label="",style="solid", color="burlywood", weight=9];
49 -> 19[label="",style="solid", color="burlywood", weight=3];
18[label="primbindIO (getChar1 False) getContents1",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3];
19[label="primbindIO (getChar1 True) getContents1",fontsize=16,color="black",shape="box"];19 -> 21[label="",style="solid", color="black", weight=3];
20[label="primbindIO (getChar0 otherwise) getContents1",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3];
21[label="primbindIO (return terminator) getContents1",fontsize=16,color="black",shape="box"];21 -> 23[label="",style="solid", color="black", weight=3];
22[label="primbindIO (getChar0 True) getContents1",fontsize=16,color="black",shape="box"];22 -> 24[label="",style="solid", color="black", weight=3];
23[label="primbindIO (primretIO terminator) getContents1",fontsize=16,color="black",shape="box"];23 -> 25[label="",style="solid", color="black", weight=3];
24[label="primbindIO (aIOE IOError_EOF) getContents1",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3];
25[label="primbindIO (AProVE_IO terminator) getContents1",fontsize=16,color="black",shape="box"];25 -> 27[label="",style="solid", color="black", weight=3];
26[label="primbindIO (AProVE_Exception (AET_IOError (IOError IOError_EOF [] [] Nothing))) getContents1",fontsize=16,color="black",shape="box"];26 -> 28[label="",style="solid", color="black", weight=3];
27[label="getContents1 terminator",fontsize=16,color="black",shape="box"];27 -> 29[label="",style="solid", color="black", weight=3];
28[label="AProVE_Exception (AET_IOError (IOError IOError_EOF [] [] Nothing))",fontsize=16,color="green",shape="box"];29 -> 30[label="",style="dashed", color="red", weight=0];
29[label="getContents >>= getContents0 terminator",fontsize=16,color="magenta"];29 -> 31[label="",style="dashed", color="magenta", weight=3];
31 -> 1[label="",style="dashed", color="red", weight=0];
31[label="getContents",fontsize=16,color="magenta"];30[label="vx3 >>= getContents0 terminator",fontsize=16,color="black",shape="triangle"];30 -> 32[label="",style="solid", color="black", weight=3];
32[label="primbindIO vx3 (getContents0 terminator)",fontsize=16,color="burlywood",shape="box"];50[label="vx3/IO vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 50[label="",style="solid", color="burlywood", weight=9];
50 -> 33[label="",style="solid", color="burlywood", weight=3];
51[label="vx3/AProVE_IO vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 51[label="",style="solid", color="burlywood", weight=9];
51 -> 34[label="",style="solid", color="burlywood", weight=3];
52[label="vx3/AProVE_Exception vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 52[label="",style="solid", color="burlywood", weight=9];
52 -> 35[label="",style="solid", color="burlywood", weight=3];
53[label="vx3/AProVE_Error vx30",fontsize=10,color="white",style="solid",shape="box"];32 -> 53[label="",style="solid", color="burlywood", weight=9];
53 -> 36[label="",style="solid", color="burlywood", weight=3];
33[label="primbindIO (IO vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];33 -> 37[label="",style="solid", color="black", weight=3];
34[label="primbindIO (AProVE_IO vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];34 -> 38[label="",style="solid", color="black", weight=3];
35[label="primbindIO (AProVE_Exception vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];35 -> 39[label="",style="solid", color="black", weight=3];
36[label="primbindIO (AProVE_Error vx30) (getContents0 terminator)",fontsize=16,color="black",shape="box"];36 -> 40[label="",style="solid", color="black", weight=3];
37[label="error []",fontsize=16,color="red",shape="box"];38[label="getContents0 terminator vx30",fontsize=16,color="black",shape="box"];38 -> 41[label="",style="solid", color="black", weight=3];
39[label="AProVE_Exception vx30",fontsize=16,color="green",shape="box"];40[label="AProVE_Error vx30",fontsize=16,color="green",shape="box"];41[label="return (terminator : vx30)",fontsize=16,color="black",shape="box"];41 -> 42[label="",style="solid", color="black", weight=3];
42[label="primretIO (terminator : vx30)",fontsize=16,color="black",shape="box"];42 -> 43[label="",style="solid", color="black", weight=3];
43[label="AProVE_IO (terminator : vx30)",fontsize=16,color="green",shape="box"];43 -> 44[label="",style="dashed", color="green", weight=3];
44[label="terminator",fontsize=16,color="black",shape="box"];44 -> 45[label="",style="solid", color="black", weight=3];
45[label="ter2m",fontsize=16,color="green",shape="box"];}

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

(12)
TRUE