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SRS_Standard 2019-03-29 03.29 pair #432291883
details
property
value
status
complete
benchmark
z068.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n126.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.44859 seconds
cpu usage
33.0108
user time
31.6822
system time
1.32867
max virtual memory
4.1900664E7
max residence set size
3930340.0
stage attributes
key
value
starexec-result
YES
output
29.75/8.60 YES 32.77/9.39 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 32.77/9.39 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 32.77/9.39 32.77/9.39 32.77/9.39 Termination w.r.t. Q of the given QTRS could be proven: 32.77/9.39 32.77/9.39 (0) QTRS 32.77/9.39 (1) QTRSRRRProof [EQUIVALENT, 49 ms] 32.77/9.39 (2) QTRS 32.77/9.39 (3) QTRSRRRProof [EQUIVALENT, 4 ms] 32.77/9.39 (4) QTRS 32.77/9.39 (5) DependencyPairsProof [EQUIVALENT, 22 ms] 32.77/9.39 (6) QDP 32.77/9.39 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 32.77/9.39 (8) AND 32.77/9.39 (9) QDP 32.77/9.39 (10) UsableRulesProof [EQUIVALENT, 0 ms] 32.77/9.39 (11) QDP 32.77/9.39 (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] 32.77/9.39 (13) YES 32.77/9.39 (14) QDP 32.77/9.39 (15) MRRProof [EQUIVALENT, 28 ms] 32.77/9.39 (16) QDP 32.77/9.39 (17) QDPOrderProof [EQUIVALENT, 291 ms] 32.77/9.39 (18) QDP 32.77/9.39 (19) PisEmptyProof [EQUIVALENT, 0 ms] 32.77/9.39 (20) YES 32.77/9.39 32.77/9.39 32.77/9.39 ---------------------------------------- 32.77/9.39 32.77/9.39 (0) 32.77/9.39 Obligation: 32.77/9.39 Q restricted rewrite system: 32.77/9.39 The TRS R consists of the following rules: 32.77/9.39 32.77/9.39 C(x1) -> c(x1) 32.77/9.39 c(c(x1)) -> x1 32.77/9.39 b(b(x1)) -> B(x1) 32.77/9.39 B(B(x1)) -> b(x1) 32.77/9.39 c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1))))))) 32.77/9.39 b(B(x1)) -> x1 32.77/9.39 B(b(x1)) -> x1 32.77/9.39 c(C(x1)) -> x1 32.77/9.39 C(c(x1)) -> x1 32.77/9.39 32.77/9.39 Q is empty. 32.77/9.39 32.77/9.39 ---------------------------------------- 32.77/9.39 32.77/9.39 (1) QTRSRRRProof (EQUIVALENT) 32.77/9.39 Used ordering: 32.77/9.39 Polynomial interpretation [POLO]: 32.77/9.39 32.77/9.39 POL(B(x_1)) = x_1 32.77/9.39 POL(C(x_1)) = 1 + x_1 32.77/9.39 POL(b(x_1)) = x_1 32.77/9.39 POL(c(x_1)) = x_1 32.77/9.39 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 32.77/9.39 32.77/9.39 C(x1) -> c(x1) 32.77/9.39 c(C(x1)) -> x1 32.77/9.39 C(c(x1)) -> x1 32.77/9.39 32.77/9.39 32.77/9.39 32.77/9.39 32.77/9.39 ---------------------------------------- 32.77/9.39 32.77/9.39 (2) 32.77/9.39 Obligation: 32.77/9.39 Q restricted rewrite system: 32.77/9.39 The TRS R consists of the following rules: 32.77/9.39 32.77/9.39 c(c(x1)) -> x1 32.77/9.39 b(b(x1)) -> B(x1) 32.77/9.39 B(B(x1)) -> b(x1) 32.77/9.39 c(B(c(b(c(x1))))) -> B(c(b(c(B(c(b(x1))))))) 32.77/9.39 b(B(x1)) -> x1 32.77/9.39 B(b(x1)) -> x1 32.77/9.39 32.77/9.39 Q is empty. 32.77/9.39 32.77/9.39 ---------------------------------------- 32.77/9.39 32.77/9.39 (3) QTRSRRRProof (EQUIVALENT) 32.77/9.39 Used ordering: 32.77/9.39 Polynomial interpretation [POLO]: 32.77/9.39 32.77/9.39 POL(B(x_1)) = x_1 32.77/9.39 POL(b(x_1)) = x_1 32.77/9.39 POL(c(x_1)) = 1 + x_1 32.77/9.39 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 32.77/9.39 32.77/9.39 c(c(x1)) -> x1 32.77/9.39 32.77/9.39 32.77/9.39 32.77/9.39
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