Haskell pair #487599232

details

property	value
status	complete
benchmark	Prelude_subtract_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n099.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.27118992805 seconds
cpu usage	9.69749527
max memory	5.75012864E8

stage attributes

key	value
output-size	21506
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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 [SOUND, 0 ms]
(6) AND
    (7) QDP
        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (9) YES
    (10) QDP
        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (12) YES
    (13) QDP
        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (15) 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="subtract",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="subtract vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="subtract vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="flip (-) vx3 vx4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="(-) vx4 vx3",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
7[label="primMinusFloat vx4 vx3",fontsize=16,color="burlywood",shape="box"];94[label="vx4/Float vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];7 -> 94[label="",style="solid", color="burlywood", weight=9];
94 -> 8[label="",style="solid", color="burlywood", weight=3];
8[label="primMinusFloat (Float vx40 vx41) vx3",fontsize=16,color="burlywood",shape="box"];95[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];8 -> 95[label="",style="solid", color="burlywood", weight=9];
95 -> 9[label="",style="solid", color="burlywood", weight=3];
9[label="primMinusFloat (Float vx40 vx41) (Float vx30 vx31)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10[label="Float (vx40 * vx31 - vx30 * vx41) (vx41 * vx31)",fontsize=16,color="green",shape="box"];10 -> 11[label="",style="dashed", color="green", weight=3];
10 -> 12[label="",style="dashed", color="green", weight=3];
11[label="vx40 * vx31 - vx30 * vx41",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3];
12[label="vx41 * vx31",fontsize=16,color="black",shape="triangle"];12 -> 14[label="",style="solid", color="black", weight=3];
13 -> 15[label="",style="dashed", color="red", weight=0];
13[label="primMinusInt (vx40 * vx31) (vx30 * vx41)",fontsize=16,color="magenta"];13 -> 16[label="",style="dashed", color="magenta", weight=3];
13 -> 17[label="",style="dashed", color="magenta", weight=3];

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