Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Stand 20472 pair #381716017
details
property
value
status
complete
benchmark
MYNAT_nosorts_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n094.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.70907688141 seconds
cpu usage
3.827207842
max memory
2.4057856E8
stage attributes
key
value
output-size
3619
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 116 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 0 ms] (4) QTRS (5) RisEmptyProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__and(tt, X) -> mark(X) a__plus(N, 0) -> mark(N) a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M))) a__x(N, 0) -> 0 a__x(N, s(M)) -> a__plus(a__x(mark(N), mark(M)), mark(N)) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2)) mark(tt) -> tt mark(0) -> 0 mark(s(X)) -> s(mark(X)) a__and(X1, X2) -> and(X1, X2) a__plus(X1, X2) -> plus(X1, X2) a__x(X1, X2) -> x(X1, X2) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: a__and/2(YES,YES) tt/0) mark/1)YES( a__plus/2(YES,YES) 0/0) s/1(YES) a__x/2(YES,YES) and/2(YES,YES) plus/2(YES,YES) x/2(YES,YES) Quasi precedence: [a__and_2, and_2] > s_1 tt > s_1 [a__x_2, x_2] > [a__plus_2, plus_2] > s_1 [a__x_2, x_2] > 0 > s_1 Status: a__and_2: [1,2] tt: multiset status a__plus_2: [1,2] 0: multiset status s_1: multiset status a__x_2: multiset status and_2: [1,2] plus_2: [1,2] x_2: multiset status With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: a__and(tt, X) -> mark(X) a__plus(N, 0) -> mark(N) a__plus(N, s(M)) -> s(a__plus(mark(N), mark(M))) a__x(N, 0) -> 0 a__x(N, s(M)) -> a__plus(a__x(mark(N), mark(M)), mark(N)) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(plus(X1, X2)) -> a__plus(mark(X1), mark(X2)) mark(x(X1, X2)) -> a__x(mark(X1), mark(X2))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Stand 20472