Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Inner 89993 pair #381733853
details
property
value
status
complete
benchmark
Ex1_Luc02b_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n014.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.92634510994 seconds
cpu usage
3.807474123
max memory
2.3779328E8
stage attributes
key
value
output-size
12527
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [SOUND, 0 ms] (2) CSR (3) CSRInnermostProof [EQUIVALENT, 0 ms] (4) CSR (5) CSDependencyPairsProof [EQUIVALENT, 4 ms] (6) QCSDP (7) QCSDependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QCSDP (10) QCSDPSubtermProof [EQUIVALENT, 0 ms] (11) QCSDP (12) PIsEmptyProof [EQUIVALENT, 0 ms] (13) YES (14) QCSDP (15) QCSDPSubtermProof [EQUIVALENT, 0 ms] (16) QCSDP (17) PIsEmptyProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(from(X)) -> mark(cons(X, from(s(X)))) active(first(0, Z)) -> mark(nil) active(first(s(X), cons(Y, Z))) -> mark(cons(Y, first(X, Z))) active(sel(0, cons(X, Z))) -> mark(X) active(sel(s(X), cons(Y, Z))) -> mark(sel(X, Z)) active(from(X)) -> from(active(X)) active(cons(X1, X2)) -> cons(active(X1), X2) active(s(X)) -> s(active(X)) active(first(X1, X2)) -> first(active(X1), X2) active(first(X1, X2)) -> first(X1, active(X2)) active(sel(X1, X2)) -> sel(active(X1), X2) active(sel(X1, X2)) -> sel(X1, active(X2)) from(mark(X)) -> mark(from(X)) cons(mark(X1), X2) -> mark(cons(X1, X2)) s(mark(X)) -> mark(s(X)) first(mark(X1), X2) -> mark(first(X1, X2)) first(X1, mark(X2)) -> mark(first(X1, X2)) sel(mark(X1), X2) -> mark(sel(X1, X2)) sel(X1, mark(X2)) -> mark(sel(X1, X2)) proper(from(X)) -> from(proper(X)) proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) proper(s(X)) -> s(proper(X)) proper(first(X1, X2)) -> first(proper(X1), proper(X2)) proper(0) -> ok(0) proper(nil) -> ok(nil) proper(sel(X1, X2)) -> sel(proper(X1), proper(X2)) from(ok(X)) -> ok(from(X)) cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) s(ok(X)) -> ok(s(X)) first(ok(X1), ok(X2)) -> ok(first(X1, X2)) sel(ok(X1), ok(X2)) -> ok(sel(X1, X2)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) The set Q consists of the following terms: active(from(x0)) active(cons(x0, x1)) active(s(x0)) active(first(x0, x1)) active(sel(x0, x1)) from(mark(x0)) cons(mark(x0), x1) s(mark(x0)) first(mark(x0), x1) first(x0, mark(x1)) sel(mark(x0), x1) sel(x0, mark(x1)) proper(from(x0)) proper(cons(x0, x1)) proper(s(x0)) proper(first(x0, x1)) proper(0) proper(nil) proper(sel(x0, x1)) from(ok(x0)) cons(ok(x0), ok(x1)) s(ok(x0)) first(ok(x0), ok(x1))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Inner 89993