Higher Order Rewriting Union Beta pair #487093641

details

property	value
status	complete
benchmark	h28.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Hamana_Kikuchi_18

run statistics

property	value
solver	Wanda 2.2a
configuration	default
runtime (wallclock)	70.2176 seconds
cpu usage	74.7479
user time	70.8136
system time	3.93426
max virtual memory	1451856.0
max residence set size	371980.0

stage attributes

key	value
starexec-result	YES

output

YES
We consider the system theBenchmark.

  Alphabet:

    0 : [] --> A 
    active : [] --> A -> A 
    afterNth : [] --> A -> A -> A 
    and : [] --> A -> A -> A 
    app : [] --> (A -> A) -> A -> A 
    cons : [] --> A -> A -> A 
    fst : [] --> A -> A 
    head : [] --> A -> A 
    isLNat : [] --> A -> A 
    isLNatKind : [] --> A -> A 
    isNatural : [] --> A -> A 
    isNaturalKind : [] --> A -> A 
    isPLNat : [] --> A -> A 
    isPLNatKind : [] --> A -> A 
    map : [] --> (A -> A) -> A -> A 
    mark : [] --> A -> A 
    natsFrom : [] --> A -> A 
    nil : [] --> A 
    pair : [] --> A -> A -> A 
    s : [] --> A -> A 
    sel : [] --> A -> A -> A 
    snd : [] --> A -> A 
    splitAt : [] --> A -> A -> A 
    tail : [] --> A -> A 
    take : [] --> A -> A -> A 
    tt : [] --> A 
    u101 : [] --> A -> A -> A -> A 
    u102 : [] --> A -> A -> A 
    u103 : [] --> A -> A 
    u11 : [] --> A -> A -> A -> A 
    u111 : [] --> A -> A -> A 
    u112 : [] --> A -> A 
    u121 : [] --> A -> A -> A 
    u122 : [] --> A -> A 
    u131 : [] --> A -> A -> A -> A 
    u132 : [] --> A -> A -> A 
    u133 : [] --> A -> A 
    u141 : [] --> A -> A -> A -> A 
    u142 : [] --> A -> A -> A 
    u143 : [] --> A -> A 
    u151 : [] --> A -> A -> A -> A 
    u152 : [] --> A -> A -> A 
    u153 : [] --> A -> A 
    u161 : [] --> A -> A -> A 
    u171 : [] --> A -> A -> A -> A 
    u181 : [] --> A -> A -> A 
    u191 : [] --> A -> A -> A 
    u201 : [] --> A -> A -> A -> A -> A 
    u202 : [] --> A -> A -> A 
    u21 : [] --> A -> A -> A 
    u211 : [] --> A -> A -> A 
    u221 : [] --> A -> A -> A -> A 
    u31 : [] --> A -> A -> A 
    u41 : [] --> A -> A -> A -> A 
    u42 : [] --> A -> A -> A 
    u43 : [] --> A -> A 
    u51 : [] --> A -> A -> A -> A 
    u52 : [] --> A -> A -> A 
    u53 : [] --> A -> A 
    u61 : [] --> A -> A -> A 
    u62 : [] --> A -> A 
    u71 : [] --> A -> A -> A 
    u72 : [] --> A -> A 
    u81 : [] --> A -> A -> A 
    u82 : [] --> A -> A 
    u91 : [] --> A -> A -> A 
    u92 : [] --> A -> A 

  Rules:

    active (u101 tt x y) => mark (u102 (isNatural x) y) 
    active (u102 tt x) => mark (u103 (isLNat x)) 
    active (u103 tt) => mark tt 
    active (u11 tt x y) => mark (snd (splitAt x y)) 
    active (u111 tt x) => mark (u112 (isLNat x)) 
    active (u112 tt) => mark tt 
    active (u121 tt x) => mark (u122 (isNatural x)) 
    active (u122 tt) => mark tt 
    active (u131 tt x y) => mark (u132 (isNatural x) y) 
    active (u132 tt x) => mark (u133 (isLNat x)) 
    active (u133 tt) => mark tt 
    active (u141 tt x y) => mark (u142 (isLNat x) y) 
    active (u142 tt x) => mark (u143 (isLNat x)) 
    active (u143 tt) => mark tt 
    active (u151 tt x y) => mark (u152 (isNatural x) y) 
    active (u152 tt x) => mark (u153 (isLNat x)) 
    active (u153 tt) => mark tt 
    active (u161 tt x) => mark (cons x (natsFrom (s x))) 
    active (u171 tt x y) => mark (head (afterNth x y)) 
    active (u181 tt x) => mark x 
    active (u191 tt x) => mark (pair nil x) 
    active (u201 tt x y z) => mark (u202 (splitAt x z) y) 
    active (u202 (pair x y) z) => mark (pair (cons z x) y) 
    active (u21 tt x) => mark x 
    active (u211 tt x) => mark x

popout

output may be truncated. 'popout' for the full output.

job log

popout

actions all output return to Higher Order Rewriting Union Beta