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SRS_Standard 2019-03-29 03.29 pair #432292309
details
property
value
status
complete
benchmark
z091.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.96864 seconds
cpu usage
23.7267
user time
22.8494
system time
0.877261
max virtual memory
6.284824E7
max residence set size
2494780.0
stage attributes
key
value
starexec-result
YES
output
23.18/6.83 YES 23.50/6.89 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 23.50/6.89 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 23.50/6.89 23.50/6.89 23.50/6.89 Termination w.r.t. Q of the given QTRS could be proven: 23.50/6.89 23.50/6.89 (0) QTRS 23.50/6.89 (1) DependencyPairsProof [EQUIVALENT, 7 ms] 23.50/6.89 (2) QDP 23.50/6.89 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 23.50/6.89 (4) AND 23.50/6.89 (5) QDP 23.50/6.89 (6) UsableRulesProof [EQUIVALENT, 0 ms] 23.50/6.89 (7) QDP 23.50/6.89 (8) QDPOrderProof [EQUIVALENT, 5 ms] 23.50/6.89 (9) QDP 23.50/6.89 (10) PisEmptyProof [EQUIVALENT, 0 ms] 23.50/6.89 (11) YES 23.50/6.89 (12) QDP 23.50/6.89 (13) UsableRulesProof [EQUIVALENT, 0 ms] 23.50/6.89 (14) QDP 23.50/6.89 (15) QDPOrderProof [EQUIVALENT, 6 ms] 23.50/6.89 (16) QDP 23.50/6.89 (17) PisEmptyProof [EQUIVALENT, 0 ms] 23.50/6.89 (18) YES 23.50/6.89 (19) QDP 23.50/6.89 (20) UsableRulesProof [EQUIVALENT, 0 ms] 23.50/6.89 (21) QDP 23.50/6.89 (22) QDPOrderProof [EQUIVALENT, 2 ms] 23.50/6.89 (23) QDP 23.50/6.89 (24) PisEmptyProof [EQUIVALENT, 0 ms] 23.50/6.89 (25) YES 23.50/6.89 (26) QDP 23.50/6.89 (27) UsableRulesProof [EQUIVALENT, 3 ms] 23.50/6.89 (28) QDP 23.50/6.89 (29) QDPOrderProof [EQUIVALENT, 5 ms] 23.50/6.89 (30) QDP 23.50/6.89 (31) PisEmptyProof [EQUIVALENT, 0 ms] 23.50/6.89 (32) YES 23.50/6.89 (33) QDP 23.50/6.89 (34) UsableRulesProof [EQUIVALENT, 0 ms] 23.50/6.89 (35) QDP 23.50/6.89 (36) QDPOrderProof [EQUIVALENT, 5 ms] 23.50/6.89 (37) QDP 23.50/6.89 (38) PisEmptyProof [EQUIVALENT, 0 ms] 23.50/6.89 (39) YES 23.50/6.89 (40) QDP 23.50/6.89 (41) QDPOrderProof [EQUIVALENT, 86 ms] 23.50/6.89 (42) QDP 23.50/6.89 (43) PisEmptyProof [EQUIVALENT, 0 ms] 23.50/6.89 (44) YES 23.50/6.89 23.50/6.89 23.50/6.89 ---------------------------------------- 23.50/6.89 23.50/6.89 (0) 23.50/6.89 Obligation: 23.50/6.89 Q restricted rewrite system: 23.50/6.89 The TRS R consists of the following rules: 23.50/6.89 23.50/6.89 r0(0(x1)) -> 0(r0(x1)) 23.50/6.89 r0(1(x1)) -> 1(r0(x1)) 23.50/6.89 r0(m(x1)) -> m(r0(x1)) 23.50/6.89 r1(0(x1)) -> 0(r1(x1)) 23.50/6.89 r1(1(x1)) -> 1(r1(x1)) 23.50/6.89 r1(m(x1)) -> m(r1(x1)) 23.50/6.89 r0(b(x1)) -> qr(0(b(x1))) 23.50/6.89 r1(b(x1)) -> qr(1(b(x1))) 23.50/6.89 0(qr(x1)) -> qr(0(x1)) 23.50/6.89 1(qr(x1)) -> qr(1(x1)) 23.50/6.89 m(qr(x1)) -> ql(m(x1)) 23.50/6.89 0(ql(x1)) -> ql(0(x1)) 23.50/6.89 1(ql(x1)) -> ql(1(x1)) 23.50/6.89 b(ql(0(x1))) -> 0(b(r0(x1))) 23.50/6.89 b(ql(1(x1))) -> 1(b(r1(x1))) 23.50/6.89 23.50/6.89 Q is empty. 23.50/6.89 23.50/6.89 ---------------------------------------- 23.50/6.89 23.50/6.89 (1) DependencyPairsProof (EQUIVALENT) 23.50/6.89 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 23.50/6.89 ---------------------------------------- 23.50/6.89 23.50/6.89 (2) 23.50/6.89 Obligation: 23.50/6.89 Q DP problem: 23.50/6.89 The TRS P consists of the following rules: 23.50/6.89 23.50/6.89 R0(0(x1)) -> 0^1(r0(x1)) 23.50/6.89 R0(0(x1)) -> R0(x1) 23.50/6.89 R0(1(x1)) -> 1^1(r0(x1)) 23.50/6.89 R0(1(x1)) -> R0(x1) 23.50/6.89 R0(m(x1)) -> M(r0(x1)) 23.50/6.89 R0(m(x1)) -> R0(x1) 23.50/6.89 R1(0(x1)) -> 0^1(r1(x1)) 23.50/6.89 R1(0(x1)) -> R1(x1) 23.50/6.89 R1(1(x1)) -> 1^1(r1(x1)) 23.50/6.89 R1(1(x1)) -> R1(x1)
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