Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Stand 20472 pair #381714993
details
property
value
status
complete
benchmark
4.23.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n057.star.cs.uiowa.edu
space
SK90
run statistics
property
value
solver
Wanda
configuration
FirstOrder
runtime (wallclock)
0.219274997711 seconds
cpu usage
0.215890597
max memory
1.0842112E7
stage attributes
key
value
output-size
10010
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_FirstOrder /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES We consider the system theBenchmark. We are asked to determine termination of the following first-order TRS. false : [] --> o if : [o * o * o] --> o true : [] --> o if(true, X, Y) => X if(false, X, Y) => Y if(X, Y, Y) => Y if(if(X, Y, Z), U, V) => if(X, if(Y, U, V), if(Z, U, V)) if(X, if(X, Y, Z), Z) => if(X, Y, Z) if(X, Y, if(X, Y, Z)) => if(X, Y, Z) We use rule removal, following [Kop12, Theorem 2.23]. This gives the following requirements (possibly using Theorems 2.25 and 2.26 in [Kop12]): if(true, X, Y) >? X if(false, X, Y) >? Y if(X, Y, Y) >? Y if(if(X, Y, Z), U, V) >? if(X, if(Y, U, V), if(Z, U, V)) if(X, if(X, Y, Z), Z) >? if(X, Y, Z) if(X, Y, if(X, Y, Z)) >? if(X, Y, Z) about to try horpo We use a recursive path ordering as defined in [Kop12, Chapter 5]. We choose Lex = {if} and Mul = {false, true}, and the following precedence: if > false > true With these choices, we have: 1] if(true, X, Y) > X because [2], by definition 2] if*(true, X, Y) >= X because [3], by (Select) 3] X >= X by (Meta) 4] if(false, X, Y) >= Y because [5], by (Star) 5] if*(false, X, Y) >= Y because [6], by (Select) 6] Y >= Y by (Meta) 7] if(X, Y, Y) > Y because [8], by definition 8] if*(X, Y, Y) >= Y because [6], by (Select) 9] if(if(X, Y, Z), U, V) >= if(X, if(Y, U, V), if(Z, U, V)) because [10], by (Star) 10] if*(if(X, Y, Z), U, V) >= if(X, if(Y, U, V), if(Z, U, V)) because [11], [13], [15] and [24], by (Stat) 11] if(X, Y, Z) > X because [12], by definition 12] if*(X, Y, Z) >= X because [3], by (Select) 13] if*(if(X, Y, Z), U, V) >= X because [14], by (Select) 14] if(X, Y, Z) >= X because [12], by (Star) 15] if*(if(X, Y, Z), U, V) >= if(Y, U, V) because [16], [18], [20] and [22], by (Stat) 16] if(X, Y, Z) > Y because [17], by definition 17] if*(X, Y, Z) >= Y because [6], by (Select) 18] if*(if(X, Y, Z), U, V) >= Y because [19], by (Select) 19] if(X, Y, Z) >= Y because [17], by (Star) 20] if*(if(X, Y, Z), U, V) >= U because [21], by (Select) 21] U >= U by (Meta) 22] if*(if(X, Y, Z), U, V) >= V because [23], by (Select) 23] V >= V by (Meta) 24] if*(if(X, Y, Z), U, V) >= if(Z, U, V) because [25], [28], [20] and [22], by (Stat) 25] if(X, Y, Z) > Z because [26], by definition 26] if*(X, Y, Z) >= Z because [27], by (Select) 27] Z >= Z by (Meta) 28] if*(if(X, Y, Z), U, V) >= Z because [29], by (Select) 29] if(X, Y, Z) >= Z because [26], by (Star) 30] if(X, if(X, Y, Z), Z) >= if(X, Y, Z) because [31], [32] and [33], by (Fun) 31] X >= X by (Meta) 32] if(X, Y, Z) >= Y because [17], by (Star) 33] Z >= Z by (Meta) 34] if(X, Y, if(X, Y, Z)) > if(X, Y, Z) because [35], by definition 35] if*(X, Y, if(X, Y, Z)) >= if(X, Y, Z) because [36], by (Select) 36] if(X, Y, Z) >= if(X, Y, Z) because [31], [37] and [33], by (Fun) 37] Y >= Y by (Meta) We can thus remove the following rules: if(true, X, Y) => X if(X, Y, Y) => Y if(X, Y, if(X, Y, Z)) => if(X, Y, Z) We use rule removal, following [Kop12, Theorem 2.23]. This gives the following requirements (possibly using Theorems 2.25 and 2.26 in [Kop12]): if(false, X, Y) >? Y if(if(X, Y, Z), U, V) >? if(X, if(Y, U, V), if(Z, U, V)) if(X, if(X, Y, Z), Z) >? if(X, Y, Z) about to try horpo
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Stand 20472