Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Innermost pair #487524161
details
property
value
status
complete
benchmark
ExIntrod_GM04_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.89465093613 seconds
cpu usage
4.207511481
max memory
2.49864192E8
stage attributes
key
value
output-size
11439
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [SOUND, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 52 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 34 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 0 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) RisEmptyProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(nats) -> mark(adx(zeros)) active(zeros) -> mark(cons(0, zeros)) active(incr(cons(X, Y))) -> mark(cons(s(X), incr(Y))) active(adx(cons(X, Y))) -> mark(incr(cons(X, adx(Y)))) active(hd(cons(X, Y))) -> mark(X) active(tl(cons(X, Y))) -> mark(Y) active(adx(X)) -> adx(active(X)) active(incr(X)) -> incr(active(X)) active(hd(X)) -> hd(active(X)) active(tl(X)) -> tl(active(X)) adx(mark(X)) -> mark(adx(X)) incr(mark(X)) -> mark(incr(X)) hd(mark(X)) -> mark(hd(X)) tl(mark(X)) -> mark(tl(X)) proper(nats) -> ok(nats) proper(adx(X)) -> adx(proper(X)) proper(zeros) -> ok(zeros) proper(cons(X1, X2)) -> cons(proper(X1), proper(X2)) proper(0) -> ok(0) proper(incr(X)) -> incr(proper(X)) proper(s(X)) -> s(proper(X)) proper(hd(X)) -> hd(proper(X)) proper(tl(X)) -> tl(proper(X)) adx(ok(X)) -> ok(adx(X)) cons(ok(X1), ok(X2)) -> ok(cons(X1, X2)) incr(ok(X)) -> ok(incr(X)) s(ok(X)) -> ok(s(X)) hd(ok(X)) -> ok(hd(X)) tl(ok(X)) -> ok(tl(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) The set Q consists of the following terms: active(nats) active(zeros) active(adx(x0)) active(incr(x0)) active(hd(x0)) active(tl(x0)) adx(mark(x0)) incr(mark(x0)) hd(mark(x0)) tl(mark(x0)) proper(nats) proper(adx(x0)) proper(zeros) proper(cons(x0, x1)) proper(0) proper(incr(x0)) proper(s(x0)) proper(hd(x0)) proper(tl(x0)) adx(ok(x0)) cons(ok(x0), ok(x1)) incr(ok(x0)) s(ok(x0)) hd(ok(x0)) tl(ok(x0)) top(mark(x0)) top(ok(x0))
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Innermost