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TRS_Relative 2019-03-21 03.54 pair #429988512
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
n168.star.cs.uiowa.edu
space
Mixed_relative_TRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.66478 seconds
cpu usage
10.9027
user time
10.1826
system time
0.720123
max virtual memory
1.8743756E7
max residence set size
2080396.0
stage attributes
key
value
starexec-result
YES
output
10.47/3.59 YES 10.80/3.60 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 10.80/3.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.80/3.60 10.80/3.60 10.80/3.60 Termination of the given RelTRS could be proven: 10.80/3.60 10.80/3.60 (0) RelTRS 10.80/3.60 (1) RelTRSRRRProof [EQUIVALENT, 111 ms] 10.80/3.60 (2) RelTRS 10.80/3.60 (3) RelTRSRRRProof [EQUIVALENT, 56 ms] 10.80/3.60 (4) RelTRS 10.80/3.60 (5) RelTRSRRRProof [EQUIVALENT, 25 ms] 10.80/3.60 (6) RelTRS 10.80/3.60 (7) RelTRSRRRProof [EQUIVALENT, 30 ms] 10.80/3.60 (8) RelTRS 10.80/3.60 (9) RelTRSRRRProof [EQUIVALENT, 172 ms] 10.80/3.60 (10) RelTRS 10.80/3.60 (11) RelTRSRRRProof [EQUIVALENT, 15 ms] 10.80/3.60 (12) RelTRS 10.80/3.60 (13) RelTRSRRRProof [EQUIVALENT, 5 ms] 10.80/3.60 (14) RelTRS 10.80/3.60 (15) RelTRSRRRProof [EQUIVALENT, 7 ms] 10.80/3.60 (16) RelTRS 10.80/3.60 (17) RIsEmptyProof [EQUIVALENT, 0 ms] 10.80/3.60 (18) YES 10.80/3.60 10.80/3.60 10.80/3.60 ---------------------------------------- 10.80/3.60 10.80/3.60 (0) 10.80/3.60 Obligation: 10.80/3.60 Relative term rewrite system: 10.80/3.60 The relative TRS consists of the following R rules: 10.80/3.60 10.80/3.60 RAo(R) -> R 10.80/3.60 RAn(R) -> R 10.80/3.60 WAo(W) -> W 10.80/3.60 WAn(W) -> W 10.80/3.60 10.80/3.60 The relative TRS consists of the following S rules: 10.80/3.60 10.80/3.60 Rw -> RIn(Rw) 10.80/3.60 Ww -> WIn(Ww) 10.80/3.60 top(ok(sys_r(read(r, RIo(x)), write(W, Ww)))) -> top(check(sys_r(read(RAo(r), x), write(W, Ww)))) 10.80/3.60 top(ok(sys_w(read(r, RIo(x)), write(W, Ww)))) -> top(check(sys_w(read(RAo(r), x), write(W, Ww)))) 10.80/3.60 top(ok(sys_r(read(r, RIn(x)), write(W, Ww)))) -> top(check(sys_r(read(RAn(r), x), write(W, Ww)))) 10.80/3.60 top(ok(sys_w(read(r, RIn(x)), write(W, Ww)))) -> top(check(sys_w(read(RAn(r), x), write(W, Ww)))) 10.80/3.60 top(ok(sys_r(read(R, Rw), write(W, WIn(y))))) -> top(check(sys_r(read(R, Rw), write(WAn(W), y)))) 10.80/3.60 top(ok(sys_w(read(R, Rw), write(W, WIn(y))))) -> top(check(sys_w(read(R, Rw), write(WAn(W), y)))) 10.80/3.60 top(ok(sys_r(read(R, Rw), write(W, WIo(y))))) -> top(check(sys_r(read(R, Rw), write(WAo(W), y)))) 10.80/3.60 top(ok(sys_w(read(R, Rw), write(W, WIo(y))))) -> top(check(sys_w(read(R, Rw), write(WAo(W), y)))) 10.80/3.60 top(ok(sys_r(read(r, RIo(x)), write(W, y)))) -> top(check(sys_w(read(RAo(r), x), write(W, y)))) 10.80/3.60 top(ok(sys_r(read(r, RIn(x)), write(W, y)))) -> top(check(sys_w(read(RAn(r), x), write(W, y)))) 10.80/3.60 top(ok(sys_w(read(R, x), write(W, WIo(y))))) -> top(check(sys_r(read(R, x), write(WAo(W), y)))) 10.80/3.60 top(ok(sys_w(read(R, x), write(W, WIn(y))))) -> top(check(sys_r(read(R, x), write(WAn(W), y)))) 10.80/3.60 check(RIo(x)) -> ok(RIo(x)) 10.80/3.60 check(RAo(x)) -> RAo(check(x)) 10.80/3.60 check(RAn(x)) -> RAn(check(x)) 10.80/3.60 check(WAo(x)) -> WAo(check(x)) 10.80/3.60 check(WAn(x)) -> WAn(check(x)) 10.80/3.60 check(RIo(x)) -> RIo(check(x)) 10.80/3.60 check(RIn(x)) -> RIn(check(x)) 10.80/3.60 check(WIo(x)) -> WIo(check(x)) 10.80/3.60 check(WIn(x)) -> WIn(check(x)) 10.80/3.60 check(sys_r(x, y)) -> sys_r(check(x), y) 10.80/3.60 check(sys_r(x, y)) -> sys_r(x, check(y)) 10.80/3.60 check(sys_w(x, y)) -> sys_w(check(x), y) 10.80/3.60 check(sys_w(x, y)) -> sys_w(x, check(y)) 10.80/3.60 RAo(ok(x)) -> ok(RAo(x)) 10.80/3.60 RAn(ok(x)) -> ok(RAn(x)) 10.80/3.60 WAo(ok(x)) -> ok(WAo(x)) 10.80/3.60 WAn(ok(x)) -> ok(WAn(x)) 10.80/3.60 RIn(ok(x)) -> ok(RIn(x)) 10.80/3.60 WIo(ok(x)) -> ok(WIo(x)) 10.80/3.60 WIn(ok(x)) -> ok(WIn(x)) 10.80/3.60 sys_r(ok(x), y) -> ok(sys_r(x, y)) 10.80/3.60 sys_r(x, ok(y)) -> ok(sys_r(x, y)) 10.80/3.60 sys_w(ok(x), y) -> ok(sys_w(x, y)) 10.80/3.60 sys_w(x, ok(y)) -> ok(sys_w(x, y)) 10.80/3.60 10.80/3.60 10.80/3.60 ---------------------------------------- 10.80/3.60 10.80/3.60 (1) RelTRSRRRProof (EQUIVALENT) 10.80/3.60 We used the following monotonic ordering for rule removal: 10.80/3.60 Polynomial interpretation [POLO]: 10.80/3.60 10.80/3.60 POL(R) = 0 10.80/3.60 POL(RAn(x_1)) = x_1 10.80/3.60 POL(RAo(x_1)) = x_1 10.80/3.60 POL(RIn(x_1)) = x_1 10.80/3.60 POL(RIo(x_1)) = x_1 10.80/3.60 POL(Rw) = 0 10.80/3.60 POL(W) = 0 10.80/3.60 POL(WAn(x_1)) = x_1 10.80/3.60 POL(WAo(x_1)) = x_1 10.80/3.60 POL(WIn(x_1)) = x_1 10.80/3.60 POL(WIo(x_1)) = 1 + x_1 10.80/3.60 POL(Ww) = 0
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