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SRS_Standard 2019-03-29 03.29 pair #432289117
details
property
value
status
complete
benchmark
aprove1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
Secret_05_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.97644 seconds
cpu usage
27.5414
user time
26.1994
system time
1.34207
max virtual memory
4.1909128E7
max residence set size
3840328.0
stage attributes
key
value
starexec-result
YES
output
27.01/7.87 YES 27.34/7.90 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 27.34/7.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.34/7.90 27.34/7.90 27.34/7.90 Termination w.r.t. Q of the given QTRS could be proven: 27.34/7.90 27.34/7.90 (0) QTRS 27.34/7.90 (1) DependencyPairsProof [EQUIVALENT, 37 ms] 27.34/7.90 (2) QDP 27.34/7.90 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 27.34/7.90 (4) AND 27.34/7.90 (5) QDP 27.34/7.90 (6) UsableRulesProof [EQUIVALENT, 3 ms] 27.34/7.90 (7) QDP 27.34/7.90 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 27.34/7.90 (9) YES 27.34/7.90 (10) QDP 27.34/7.90 (11) UsableRulesProof [EQUIVALENT, 2 ms] 27.34/7.90 (12) QDP 27.34/7.90 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 27.34/7.90 (14) YES 27.34/7.90 (15) QDP 27.34/7.90 (16) UsableRulesProof [EQUIVALENT, 0 ms] 27.34/7.90 (17) QDP 27.34/7.90 (18) MRRProof [EQUIVALENT, 23 ms] 27.34/7.90 (19) QDP 27.34/7.90 (20) MNOCProof [EQUIVALENT, 0 ms] 27.34/7.90 (21) QDP 27.34/7.90 (22) UsableRulesProof [EQUIVALENT, 0 ms] 27.34/7.90 (23) QDP 27.34/7.90 (24) QDPOrderProof [EQUIVALENT, 15 ms] 27.34/7.90 (25) QDP 27.34/7.90 (26) PisEmptyProof [EQUIVALENT, 0 ms] 27.34/7.90 (27) YES 27.34/7.90 (28) QDP 27.34/7.90 (29) UsableRulesProof [EQUIVALENT, 0 ms] 27.34/7.90 (30) QDP 27.34/7.90 (31) MRRProof [EQUIVALENT, 42 ms] 27.34/7.90 (32) QDP 27.34/7.90 (33) MNOCProof [EQUIVALENT, 0 ms] 27.34/7.90 (34) QDP 27.34/7.90 (35) UsableRulesProof [EQUIVALENT, 0 ms] 27.34/7.90 (36) QDP 27.34/7.90 (37) QDPOrderProof [EQUIVALENT, 177 ms] 27.34/7.90 (38) QDP 27.34/7.90 (39) DependencyGraphProof [EQUIVALENT, 0 ms] 27.34/7.90 (40) TRUE 27.34/7.90 27.34/7.90 27.34/7.90 ---------------------------------------- 27.34/7.90 27.34/7.90 (0) 27.34/7.90 Obligation: 27.34/7.90 Q restricted rewrite system: 27.34/7.90 The TRS R consists of the following rules: 27.34/7.90 27.34/7.90 p(0(x1)) -> 0(s(s(p(x1)))) 27.34/7.90 p(s(x1)) -> x1 27.34/7.90 p(p(s(x1))) -> p(x1) 27.34/7.90 f(s(x1)) -> g(s(x1)) 27.34/7.90 g(x1) -> i(s(half(x1))) 27.34/7.90 i(x1) -> f(p(x1)) 27.34/7.90 half(0(x1)) -> 0(s(s(half(x1)))) 27.34/7.90 half(s(s(x1))) -> s(half(p(p(s(s(x1)))))) 27.34/7.90 0(x1) -> x1 27.34/7.90 rd(0(x1)) -> 0(0(0(0(0(0(rd(x1))))))) 27.34/7.90 27.34/7.90 Q is empty. 27.34/7.90 27.34/7.90 ---------------------------------------- 27.34/7.90 27.34/7.90 (1) DependencyPairsProof (EQUIVALENT) 27.34/7.90 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 27.34/7.90 ---------------------------------------- 27.34/7.90 27.34/7.90 (2) 27.34/7.90 Obligation: 27.34/7.90 Q DP problem: 27.34/7.90 The TRS P consists of the following rules: 27.34/7.90 27.34/7.90 P(0(x1)) -> 0^1(s(s(p(x1)))) 27.34/7.90 P(0(x1)) -> P(x1) 27.34/7.90 P(p(s(x1))) -> P(x1) 27.34/7.90 F(s(x1)) -> G(s(x1)) 27.34/7.90 G(x1) -> I(s(half(x1))) 27.34/7.90 G(x1) -> HALF(x1) 27.34/7.90 I(x1) -> F(p(x1)) 27.34/7.90 I(x1) -> P(x1) 27.34/7.90 HALF(0(x1)) -> 0^1(s(s(half(x1)))) 27.34/7.90 HALF(0(x1)) -> HALF(x1) 27.34/7.90 HALF(s(s(x1))) -> HALF(p(p(s(s(x1))))) 27.34/7.90 HALF(s(s(x1))) -> P(p(s(s(x1)))) 27.34/7.90 HALF(s(s(x1))) -> P(s(s(x1))) 27.34/7.90 RD(0(x1)) -> 0^1(0(0(0(0(0(rd(x1))))))) 27.34/7.90 RD(0(x1)) -> 0^1(0(0(0(0(rd(x1)))))) 27.34/7.90 RD(0(x1)) -> 0^1(0(0(0(rd(x1))))) 27.34/7.90 RD(0(x1)) -> 0^1(0(0(rd(x1)))) 27.34/7.90 RD(0(x1)) -> 0^1(0(rd(x1))) 27.34/7.90 RD(0(x1)) -> 0^1(rd(x1))
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