details

property	value
status	complete
benchmark	Prelude_fmap_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n172.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.26463 seconds
cpu usage	10.1082
user time	9.78966
system time	0.318556
max virtual memory	1.828352E7
max residence set size	612792.0

stage attributes

key	value
starexec-result	YES

output

8.30/3.67 YES 9.77/4.11 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.77/4.11 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.77/4.11 9.77/4.11 9.77/4.11 H-Termination with start terms of the given HASKELL could be proven: 9.77/4.11 9.77/4.11 (0) HASKELL 9.77/4.11 (1) BR [EQUIVALENT, 0 ms] 9.77/4.11 (2) HASKELL 9.77/4.11 (3) COR [EQUIVALENT, 0 ms] 9.77/4.11 (4) HASKELL 9.77/4.11 (5) Narrow [SOUND, 0 ms] 9.77/4.11 (6) QDP 9.77/4.11 (7) QDPSizeChangeProof [EQUIVALENT, 0 ms] 9.77/4.11 (8) YES 9.77/4.11 9.77/4.11 9.77/4.11 ---------------------------------------- 9.77/4.11 9.77/4.11 (0) 9.77/4.11 Obligation: 9.77/4.11 mainModule Main 9.77/4.11 module Main where { 9.77/4.11 import qualified Prelude; 9.77/4.11 } 9.77/4.11 9.77/4.11 ---------------------------------------- 9.77/4.11 9.77/4.11 (1) BR (EQUIVALENT) 9.77/4.11 Replaced joker patterns by fresh variables and removed binding patterns. 9.77/4.11 ---------------------------------------- 9.77/4.11 9.77/4.11 (2) 9.77/4.11 Obligation: 9.77/4.11 mainModule Main 9.77/4.11 module Main where { 9.77/4.11 import qualified Prelude; 9.77/4.11 } 9.77/4.11 9.77/4.11 ---------------------------------------- 9.77/4.11 9.77/4.11 (3) COR (EQUIVALENT) 9.77/4.11 Cond Reductions: 9.77/4.11 The following Function with conditions 9.77/4.11 "undefined |Falseundefined; 9.77/4.11 " 9.77/4.11 is transformed to 9.77/4.11 "undefined = undefined1; 9.77/4.11 " 9.77/4.11 "undefined0 True = undefined; 9.77/4.11 " 9.77/4.11 "undefined1 = undefined0 False; 9.77/4.11 " 9.77/4.11 9.77/4.11 ---------------------------------------- 9.77/4.11 9.77/4.11 (4) 9.77/4.11 Obligation: 9.77/4.11 mainModule Main 9.77/4.11 module Main where { 9.77/4.11 import qualified Prelude; 9.77/4.11 } 9.77/4.11 9.77/4.11 ---------------------------------------- 9.77/4.11 9.77/4.11 (5) Narrow (SOUND) 9.77/4.11 Haskell To QDPs 9.77/4.11 9.77/4.11 digraph dp_graph { 9.77/4.11 node [outthreshold=100, inthreshold=100];1[label="fmap",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.77/4.11 3[label="fmap vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 9.77/4.11 4[label="fmap vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.77/4.11 5[label="map vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];14[label="vx4/vx40 : vx41",fontsize=10,color="white",style="solid",shape="box"];5 -> 14[label="",style="solid", color="burlywood", weight=9]; 9.77/4.11 14 -> 6[label="",style="solid", color="burlywood", weight=3]; 9.77/4.11 15[label="vx4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 15[label="",style="solid", color="burlywood", weight=9]; 9.77/4.11 15 -> 7[label="",style="solid", color="burlywood", weight=3]; 9.77/4.11 6[label="map vx3 (vx40 : vx41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 9.77/4.11 7[label="map vx3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 9.77/4.11 8[label="vx3 vx40 : map vx3 vx41",fontsize=16,color="green",shape="box"];8 -> 10[label="",style="dashed", color="green", weight=3]; 9.77/4.11 8 -> 11[label="",style="dashed", color="green", weight=3]; 9.77/4.11 9[label="[]",fontsize=16,color="green",shape="box"];10[label="vx3 vx40",fontsize=16,color="green",shape="box"];10 -> 12[label="",style="dashed", color="green", weight=3]; 9.77/4.11 11 -> 5[label="",style="dashed", color="red", weight=0]; 9.77/4.11 11[label="map vx3 vx41",fontsize=16,color="magenta"];11 -> 13[label="",style="dashed", color="magenta", weight=3]; 9.77/4.11 12[label="vx40",fontsize=16,color="green",shape="box"];13[label="vx41",fontsize=16,color="green",shape="box"];} 9.77/4.11 9.77/4.11 ---------------------------------------- 9.77/4.11 9.77/4.11 (6) 9.77/4.11 Obligation: 9.77/4.11 Q DP problem: 9.77/4.11 The TRS P consists of the following rules: 9.77/4.11 9.77/4.11 new_map(vx3, :(vx40, vx41), h, ba) -> new_map(vx3, vx41, h, ba) 9.77/4.11 9.77/4.11 R is empty. 9.77/4.11 Q is empty. 9.77/4.11 We have to consider all minimal (P,Q,R)-chains. 9.77/4.11 ---------------------------------------- 9.77/4.11 popout

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all output return to Haskell 2019-04-01 06.52