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SRS_Standard 2019-03-29 03.29 pair #432292321
details
property
value
status
complete
benchmark
z071.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n156.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.7687 seconds
cpu usage
28.3675
user time
27.1742
system time
1.19335
max virtual memory
6.0786892E7
max residence set size
3717508.0
stage attributes
key
value
starexec-result
YES
output
23.20/7.00 YES 25.39/7.65 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 25.39/7.65 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.39/7.65 25.39/7.65 25.39/7.65 Termination w.r.t. Q of the given QTRS could be proven: 25.39/7.65 25.39/7.65 (0) QTRS 25.39/7.65 (1) QTRSRRRProof [EQUIVALENT, 33 ms] 25.39/7.65 (2) QTRS 25.39/7.65 (3) QTRSRRRProof [EQUIVALENT, 2 ms] 25.39/7.65 (4) QTRS 25.39/7.65 (5) DependencyPairsProof [EQUIVALENT, 32 ms] 25.39/7.65 (6) QDP 25.39/7.65 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 25.39/7.65 (8) QDP 25.39/7.65 (9) UsableRulesProof [EQUIVALENT, 1 ms] 25.39/7.65 (10) QDP 25.39/7.65 (11) MRRProof [EQUIVALENT, 32 ms] 25.39/7.65 (12) QDP 25.39/7.65 (13) PisEmptyProof [EQUIVALENT, 0 ms] 25.39/7.65 (14) YES 25.39/7.65 25.39/7.65 25.39/7.65 ---------------------------------------- 25.39/7.65 25.39/7.65 (0) 25.39/7.65 Obligation: 25.39/7.65 Q restricted rewrite system: 25.39/7.65 The TRS R consists of the following rules: 25.39/7.65 25.39/7.65 R(x1) -> r(x1) 25.39/7.65 r(p(x1)) -> p(p(r(P(x1)))) 25.39/7.65 r(r(x1)) -> x1 25.39/7.65 r(P(P(x1))) -> P(P(r(x1))) 25.39/7.65 p(P(x1)) -> x1 25.39/7.65 P(p(x1)) -> x1 25.39/7.65 r(R(x1)) -> x1 25.39/7.65 R(r(x1)) -> x1 25.39/7.65 25.39/7.65 Q is empty. 25.39/7.65 25.39/7.65 ---------------------------------------- 25.39/7.65 25.39/7.65 (1) QTRSRRRProof (EQUIVALENT) 25.39/7.65 Used ordering: 25.39/7.65 Polynomial interpretation [POLO]: 25.39/7.65 25.39/7.65 POL(P(x_1)) = x_1 25.39/7.65 POL(R(x_1)) = 1 + x_1 25.39/7.65 POL(p(x_1)) = x_1 25.39/7.65 POL(r(x_1)) = x_1 25.39/7.65 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 25.39/7.65 25.39/7.65 R(x1) -> r(x1) 25.39/7.65 r(R(x1)) -> x1 25.39/7.65 R(r(x1)) -> x1 25.39/7.65 25.39/7.65 25.39/7.65 25.39/7.65 25.39/7.65 ---------------------------------------- 25.39/7.65 25.39/7.65 (2) 25.39/7.65 Obligation: 25.39/7.65 Q restricted rewrite system: 25.39/7.65 The TRS R consists of the following rules: 25.39/7.65 25.39/7.65 r(p(x1)) -> p(p(r(P(x1)))) 25.39/7.65 r(r(x1)) -> x1 25.39/7.65 r(P(P(x1))) -> P(P(r(x1))) 25.39/7.65 p(P(x1)) -> x1 25.39/7.65 P(p(x1)) -> x1 25.39/7.65 25.39/7.65 Q is empty. 25.39/7.65 25.39/7.65 ---------------------------------------- 25.39/7.65 25.39/7.65 (3) QTRSRRRProof (EQUIVALENT) 25.39/7.65 Used ordering: 25.39/7.65 Polynomial interpretation [POLO]: 25.39/7.65 25.39/7.65 POL(P(x_1)) = x_1 25.39/7.65 POL(p(x_1)) = x_1 25.39/7.65 POL(r(x_1)) = 1 + x_1 25.39/7.65 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 25.39/7.65 25.39/7.65 r(r(x1)) -> x1 25.39/7.65 25.39/7.65 25.39/7.65 25.39/7.65 25.39/7.65 ---------------------------------------- 25.39/7.65 25.39/7.65 (4) 25.39/7.65 Obligation: 25.39/7.65 Q restricted rewrite system: 25.39/7.65 The TRS R consists of the following rules: 25.39/7.65 25.39/7.65 r(p(x1)) -> p(p(r(P(x1))))
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