Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Innermost pair #487093061
details
property
value
status
complete
benchmark
Ex14_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n137.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.86111 seconds
cpu usage
4.09389
user time
3.90283
system time
0.191053
max virtual memory
1.8475476E7
max residence set size
255148.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 37 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) QDP (5) MRRProof [EQUIVALENT, 0 ms] (6) QDP (7) TransformationProof [EQUIVALENT, 0 ms] (8) QDP (9) TransformationProof [EQUIVALENT, 0 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) QDP (13) UsableRulesProof [EQUIVALENT, 0 ms] (14) QDP (15) QReductionProof [EQUIVALENT, 0 ms] (16) QDP (17) TransformationProof [EQUIVALENT, 0 ms] (18) QDP (19) DependencyGraphProof [EQUIVALENT, 0 ms] (20) QDP (21) UsableRulesProof [EQUIVALENT, 0 ms] (22) QDP (23) QReductionProof [EQUIVALENT, 0 ms] (24) QDP (25) TransformationProof [EQUIVALENT, 0 ms] (26) QDP (27) DependencyGraphProof [EQUIVALENT, 0 ms] (28) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__h(X) -> a__g(mark(X), X) a__g(a, X) -> a__f(b, X) a__f(X, X) -> a__h(a__a) a__a -> b mark(h(X)) -> a__h(mark(X)) mark(g(X1, X2)) -> a__g(mark(X1), X2) mark(a) -> a__a mark(f(X1, X2)) -> a__f(mark(X1), X2) mark(b) -> b a__h(X) -> h(X) a__g(X1, X2) -> g(X1, X2) a__a -> a a__f(X1, X2) -> f(X1, X2) The set Q consists of the following terms: a__h(x0) a__a mark(h(x0)) mark(g(x0, x1)) mark(a) mark(f(x0, x1)) mark(b) a__g(x0, x1) a__f(x0, x1) ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem: The TRS P consists of the following rules: A__H(X) -> A__G(mark(X), X) A__H(X) -> MARK(X) A__G(a, X) -> A__F(b, X) A__F(X, X) -> A__H(a__a) A__F(X, X) -> A__A MARK(h(X)) -> A__H(mark(X)) MARK(h(X)) -> MARK(X) MARK(g(X1, X2)) -> A__G(mark(X1), X2) MARK(g(X1, X2)) -> MARK(X1) MARK(a) -> A__A MARK(f(X1, X2)) -> A__F(mark(X1), X2) MARK(f(X1, X2)) -> MARK(X1) The TRS R consists of the following rules: a__h(X) -> a__g(mark(X), X) a__g(a, X) -> a__f(b, X)
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Innermost