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TRS_Relative 2019-03-21 03.54 pair #429988701
details
property
value
status
complete
benchmark
rtL-cbn1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n111.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.187 seconds
cpu usage
31.4806
user time
29.9126
system time
1.56803
max virtual memory
5.6401552E7
max residence set size
4403328.0
stage attributes
key
value
starexec-result
YES
output
29.40/9.24 YES 29.69/9.29 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 29.69/9.29 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 29.69/9.29 29.69/9.29 29.69/9.29 Termination of the given RelTRS could be proven: 29.69/9.29 29.69/9.29 (0) RelTRS 29.69/9.29 (1) RelTRSRRRProof [EQUIVALENT, 66 ms] 29.69/9.29 (2) RelTRS 29.69/9.29 (3) RelTRSRRRProof [EQUIVALENT, 75 ms] 29.69/9.29 (4) RelTRS 29.69/9.29 (5) RelTRSRRRProof [EQUIVALENT, 36 ms] 29.69/9.29 (6) RelTRS 29.69/9.29 (7) RelTRSSemanticLabellingPOLOProof [EQUIVALENT, 192 ms] 29.69/9.29 (8) RelTRS 29.69/9.29 (9) RelTRSRRRProof [EQUIVALENT, 0 ms] 29.69/9.29 (10) RelTRS 29.69/9.29 (11) RelTRSSemanticLabellingPOLOProof [EQUIVALENT, 112 ms] 29.69/9.29 (12) RelTRS 29.69/9.29 (13) RelTRSRRRProof [EQUIVALENT, 14 ms] 29.69/9.29 (14) RelTRS 29.69/9.29 (15) RelTRSSemanticLabellingPOLOProof [EQUIVALENT, 56 ms] 29.69/9.29 (16) RelTRS 29.69/9.29 (17) RelTRSRRRProof [EQUIVALENT, 40 ms] 29.69/9.29 (18) RelTRS 29.69/9.29 (19) RIsEmptyProof [EQUIVALENT, 0 ms] 29.69/9.29 (20) YES 29.69/9.29 29.69/9.29 29.69/9.29 ---------------------------------------- 29.69/9.29 29.69/9.29 (0) 29.69/9.29 Obligation: 29.69/9.29 Relative term rewrite system: 29.69/9.29 The relative TRS consists of the following R rules: 29.69/9.29 29.69/9.29 Tl(O(x), y) -> Wr(check(x), y) 29.69/9.29 Tl(O(x), y) -> Wr(x, check(y)) 29.69/9.29 Tl(N(x), y) -> Wr(check(x), y) 29.69/9.30 Tl(N(x), y) -> Wr(x, check(y)) 29.69/9.30 Tr(x, O(y)) -> Wl(check(x), y) 29.69/9.30 Tr(x, O(y)) -> Wl(x, check(y)) 29.69/9.30 Tr(x, N(y)) -> Wl(check(x), y) 29.69/9.30 Tr(x, N(y)) -> Wl(x, check(y)) 29.69/9.30 Tl(B, y) -> Wr(check(B), y) 29.69/9.30 Tl(B, y) -> Wr(B, check(y)) 29.69/9.30 Tr(x, B) -> Wl(check(x), B) 29.69/9.30 Tr(x, B) -> Wl(x, check(B)) 29.69/9.30 29.69/9.30 The relative TRS consists of the following S rules: 29.69/9.30 29.69/9.30 Tl(O(x), y) -> Wl(check(x), y) 29.69/9.30 Tl(O(x), y) -> Wl(x, check(y)) 29.69/9.30 Tl(N(x), y) -> Wl(check(x), y) 29.69/9.30 Tl(N(x), y) -> Wl(x, check(y)) 29.69/9.30 Tr(x, O(y)) -> Wr(check(x), y) 29.69/9.30 Tr(x, O(y)) -> Wr(x, check(y)) 29.69/9.30 Tr(x, N(y)) -> Wr(check(x), y) 29.69/9.30 Tr(x, N(y)) -> Wr(x, check(y)) 29.69/9.30 B -> N(B) 29.69/9.30 check(O(x)) -> ok(O(x)) 29.69/9.30 Wl(ok(x), y) -> Tl(x, y) 29.69/9.30 Wl(x, ok(y)) -> Tl(x, y) 29.69/9.30 Wr(ok(x), y) -> Tr(x, y) 29.69/9.30 Wr(x, ok(y)) -> Tr(x, y) 29.69/9.30 check(O(x)) -> O(check(x)) 29.69/9.30 check(N(x)) -> N(check(x)) 29.69/9.30 O(ok(x)) -> ok(O(x)) 29.69/9.30 N(ok(x)) -> ok(N(x)) 29.69/9.30 29.69/9.30 29.69/9.30 ---------------------------------------- 29.69/9.30 29.69/9.30 (1) RelTRSRRRProof (EQUIVALENT) 29.69/9.30 We used the following monotonic ordering for rule removal: 29.69/9.30 Polynomial interpretation [POLO]: 29.69/9.30 29.69/9.30 POL(B) = 0 29.69/9.30 POL(N(x_1)) = x_1 29.69/9.30 POL(O(x_1)) = 1 + x_1 29.69/9.30 POL(Tl(x_1, x_2)) = x_1 + x_2 29.69/9.30 POL(Tr(x_1, x_2)) = x_1 + x_2 29.69/9.30 POL(Wl(x_1, x_2)) = x_1 + x_2 29.69/9.30 POL(Wr(x_1, x_2)) = x_1 + x_2 29.69/9.30 POL(check(x_1)) = x_1 29.69/9.30 POL(ok(x_1)) = x_1 29.69/9.30 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 29.69/9.30 Rules from R: 29.69/9.30 29.69/9.30 Tl(O(x), y) -> Wr(check(x), y) 29.69/9.30 Tl(O(x), y) -> Wr(x, check(y)) 29.69/9.30 Tr(x, O(y)) -> Wl(check(x), y) 29.69/9.30 Tr(x, O(y)) -> Wl(x, check(y)) 29.69/9.30 Rules from S: 29.69/9.30 29.69/9.30 Tl(O(x), y) -> Wl(check(x), y) 29.69/9.30 Tl(O(x), y) -> Wl(x, check(y)) 29.69/9.30 Tr(x, O(y)) -> Wr(check(x), y) 29.69/9.30 Tr(x, O(y)) -> Wr(x, check(y))
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