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TRS Relative pair #487520646
details
property
value
status
complete
benchmark
rt-rw4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n054.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.45964789391 seconds
cpu usage
10.447051107
max memory
2.171904E9
stage attributes
key
value
output-size
23892
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 132 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 34 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 16 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 16 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 167 ms] (10) RelTRS (11) RelTRSRRRProof [EQUIVALENT, 23 ms] (12) RelTRS (13) RelTRSRRRProof [EQUIVALENT, 9 ms] (14) RelTRS (15) RelTRSRRRProof [EQUIVALENT, 6 ms] (16) RelTRS (17) RIsEmptyProof [EQUIVALENT, 0 ms] (18) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: RAo(R) -> R RAn(R) -> R WAo(W) -> W WAn(W) -> W The relative TRS consists of the following S rules: Rw -> RIn(Rw) Ww -> WIn(Ww) top(ok(sys_r(read(r, RIo(x)), write(W, Ww)))) -> top(check(sys_r(read(RAo(r), x), write(W, Ww)))) top(ok(sys_w(read(r, RIo(x)), write(W, Ww)))) -> top(check(sys_w(read(RAo(r), x), write(W, Ww)))) top(ok(sys_r(read(r, RIn(x)), write(W, Ww)))) -> top(check(sys_r(read(RAn(r), x), write(W, Ww)))) top(ok(sys_w(read(r, RIn(x)), write(W, Ww)))) -> top(check(sys_w(read(RAn(r), x), write(W, Ww)))) top(ok(sys_r(read(R, Rw), write(W, WIn(y))))) -> top(check(sys_r(read(R, Rw), write(WAn(W), y)))) top(ok(sys_w(read(R, Rw), write(W, WIn(y))))) -> top(check(sys_w(read(R, Rw), write(WAn(W), y)))) top(ok(sys_r(read(R, Rw), write(W, WIo(y))))) -> top(check(sys_r(read(R, Rw), write(WAo(W), y)))) top(ok(sys_w(read(R, Rw), write(W, WIo(y))))) -> top(check(sys_w(read(R, Rw), write(WAo(W), y)))) top(ok(sys_r(read(r, RIo(x)), write(W, y)))) -> top(check(sys_w(read(RAo(r), x), write(W, y)))) top(ok(sys_r(read(r, RIn(x)), write(W, y)))) -> top(check(sys_w(read(RAn(r), x), write(W, y)))) top(ok(sys_w(read(R, x), write(W, WIo(y))))) -> top(check(sys_r(read(R, x), write(WAo(W), y)))) top(ok(sys_w(read(R, x), write(W, WIn(y))))) -> top(check(sys_r(read(R, x), write(WAn(W), y)))) check(RIo(x)) -> ok(RIo(x)) check(RAo(x)) -> RAo(check(x)) check(RAn(x)) -> RAn(check(x)) check(WAo(x)) -> WAo(check(x)) check(WAn(x)) -> WAn(check(x)) check(RIo(x)) -> RIo(check(x)) check(RIn(x)) -> RIn(check(x)) check(WIo(x)) -> WIo(check(x)) check(WIn(x)) -> WIn(check(x)) check(sys_r(x, y)) -> sys_r(check(x), y) check(sys_r(x, y)) -> sys_r(x, check(y)) check(sys_w(x, y)) -> sys_w(check(x), y) check(sys_w(x, y)) -> sys_w(x, check(y)) RAo(ok(x)) -> ok(RAo(x)) RAn(ok(x)) -> ok(RAn(x)) WAo(ok(x)) -> ok(WAo(x)) WAn(ok(x)) -> ok(WAn(x)) RIn(ok(x)) -> ok(RIn(x)) WIo(ok(x)) -> ok(WIo(x)) WIn(ok(x)) -> ok(WIn(x)) sys_r(ok(x), y) -> ok(sys_r(x, y)) sys_r(x, ok(y)) -> ok(sys_r(x, y)) sys_w(ok(x), y) -> ok(sys_w(x, y)) sys_w(x, ok(y)) -> ok(sys_w(x, y)) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Polynomial interpretation [POLO]: POL(R) = 0 POL(RAn(x_1)) = x_1 POL(RAo(x_1)) = x_1 POL(RIn(x_1)) = x_1 POL(RIo(x_1)) = x_1 POL(Rw) = 0
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