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SRS_Standard 2019-03-29 03.29 pair #432292207
details
property
value
status
complete
benchmark
z092.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n122.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.35252 seconds
cpu usage
17.5699
user time
16.895
system time
0.674826
max virtual memory
2.0810812E7
max residence set size
2223336.0
stage attributes
key
value
starexec-result
YES
output
16.79/5.14 YES 17.17/5.25 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 17.17/5.25 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 17.17/5.25 17.17/5.25 17.17/5.25 Termination w.r.t. Q of the given QTRS could be proven: 17.17/5.25 17.17/5.25 (0) QTRS 17.17/5.25 (1) QTRSRRRProof [EQUIVALENT, 59 ms] 17.17/5.25 (2) QTRS 17.17/5.25 (3) QTRSRRRProof [EQUIVALENT, 3 ms] 17.17/5.25 (4) QTRS 17.17/5.25 (5) DependencyPairsProof [EQUIVALENT, 13 ms] 17.17/5.25 (6) QDP 17.17/5.25 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 17.17/5.25 (8) AND 17.17/5.25 (9) QDP 17.17/5.25 (10) UsableRulesProof [EQUIVALENT, 0 ms] 17.17/5.25 (11) QDP 17.17/5.25 (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.17/5.25 (13) YES 17.17/5.25 (14) QDP 17.17/5.25 (15) UsableRulesProof [EQUIVALENT, 0 ms] 17.17/5.25 (16) QDP 17.17/5.25 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.17/5.25 (18) YES 17.17/5.25 (19) QDP 17.17/5.25 (20) UsableRulesProof [EQUIVALENT, 0 ms] 17.17/5.25 (21) QDP 17.17/5.25 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.17/5.25 (23) YES 17.17/5.25 (24) QDP 17.17/5.25 (25) UsableRulesProof [EQUIVALENT, 0 ms] 17.17/5.25 (26) QDP 17.17/5.25 (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.17/5.25 (28) YES 17.17/5.25 (29) QDP 17.17/5.25 (30) UsableRulesProof [EQUIVALENT, 0 ms] 17.17/5.25 (31) QDP 17.17/5.25 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 17.17/5.25 (33) YES 17.17/5.25 17.17/5.25 17.17/5.25 ---------------------------------------- 17.17/5.25 17.17/5.25 (0) 17.17/5.25 Obligation: 17.17/5.25 Q restricted rewrite system: 17.17/5.25 The TRS R consists of the following rules: 17.17/5.25 17.17/5.25 q0(0(x1)) -> 0'(q1(x1)) 17.17/5.25 q1(0(x1)) -> 0(q1(x1)) 17.17/5.25 q1(1'(x1)) -> 1'(q1(x1)) 17.17/5.25 0(q1(1(x1))) -> q2(0(1'(x1))) 17.17/5.25 0'(q1(1(x1))) -> q2(0'(1'(x1))) 17.17/5.25 1'(q1(1(x1))) -> q2(1'(1'(x1))) 17.17/5.25 0(q2(0(x1))) -> q2(0(0(x1))) 17.17/5.25 0'(q2(0(x1))) -> q2(0'(0(x1))) 17.17/5.25 1'(q2(0(x1))) -> q2(1'(0(x1))) 17.17/5.25 0(q2(1'(x1))) -> q2(0(1'(x1))) 17.17/5.25 0'(q2(1'(x1))) -> q2(0'(1'(x1))) 17.17/5.25 1'(q2(1'(x1))) -> q2(1'(1'(x1))) 17.17/5.25 q2(0'(x1)) -> 0'(q0(x1)) 17.17/5.25 q0(1'(x1)) -> 1'(q3(x1)) 17.17/5.25 q3(1'(x1)) -> 1'(q3(x1)) 17.17/5.25 q3(b(x1)) -> b(q4(x1)) 17.17/5.25 17.17/5.25 Q is empty. 17.17/5.25 17.17/5.25 ---------------------------------------- 17.17/5.25 17.17/5.25 (1) QTRSRRRProof (EQUIVALENT) 17.17/5.25 Used ordering: 17.17/5.25 Polynomial interpretation [POLO]: 17.17/5.25 17.17/5.25 POL(0(x_1)) = x_1 17.17/5.25 POL(0'(x_1)) = x_1 17.17/5.25 POL(1(x_1)) = 3 + x_1 17.17/5.25 POL(1'(x_1)) = x_1 17.17/5.25 POL(b(x_1)) = x_1 17.17/5.25 POL(q0(x_1)) = 2 + x_1 17.17/5.25 POL(q1(x_1)) = x_1 17.17/5.25 POL(q2(x_1)) = 3 + x_1 17.17/5.25 POL(q3(x_1)) = 1 + x_1 17.17/5.25 POL(q4(x_1)) = x_1 17.17/5.25 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 17.17/5.25 17.17/5.25 q0(0(x1)) -> 0'(q1(x1)) 17.17/5.25 q2(0'(x1)) -> 0'(q0(x1)) 17.17/5.25 q0(1'(x1)) -> 1'(q3(x1)) 17.17/5.25 q3(b(x1)) -> b(q4(x1)) 17.17/5.25 17.17/5.25 17.17/5.25 17.17/5.25 17.17/5.25 ---------------------------------------- 17.17/5.25 17.17/5.25 (2) 17.17/5.25 Obligation: 17.17/5.25 Q restricted rewrite system:
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