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SRS Stand 10685 pair #381720300
details
property
value
status
complete
benchmark
z090.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
16.7229650021 seconds
cpu usage
61.531037409
max memory
4.707426304E9
stage attributes
key
value
output-size
117253
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) QTRS (3) RootLabelingProof [EQUIVALENT, 0 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 73 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 162 ms] (8) QDP (9) QDPOrderProof [EQUIVALENT, 421 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) AND (13) QDP (14) QDPOrderProof [EQUIVALENT, 58 ms] (15) QDP (16) DependencyGraphProof [EQUIVALENT, 0 ms] (17) TRUE (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] (22) YES (23) QDP (24) QDPOrderProof [EQUIVALENT, 32 ms] (25) QDP (26) PisEmptyProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) QDPOrderProof [EQUIVALENT, 34 ms] (30) QDP (31) PisEmptyProof [EQUIVALENT, 0 ms] (32) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: s(b(x1)) -> b(s(s(s(x1)))) s(b(s(x1))) -> b(t(x1)) t(b(x1)) -> b(s(x1)) t(b(s(x1))) -> u(t(b(x1))) b(u(x1)) -> b(s(x1)) t(s(x1)) -> t(t(x1)) t(u(x1)) -> u(t(x1)) s(u(x1)) -> s(s(x1)) Q is empty. ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] As Q is empty the flat context closure was sound AND complete. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(u(x1)) -> b(s(x1)) t(s(x1)) -> t(t(x1)) s(u(x1)) -> s(s(x1)) s(s(b(x1))) -> s(b(s(s(s(x1))))) b(s(b(x1))) -> b(b(s(s(s(x1))))) t(s(b(x1))) -> t(b(s(s(s(x1))))) u(s(b(x1))) -> u(b(s(s(s(x1))))) s(s(b(s(x1)))) -> s(b(t(x1))) b(s(b(s(x1)))) -> b(b(t(x1))) t(s(b(s(x1)))) -> t(b(t(x1))) u(s(b(s(x1)))) -> u(b(t(x1))) s(t(b(x1))) -> s(b(s(x1))) b(t(b(x1))) -> b(b(s(x1))) t(t(b(x1))) -> t(b(s(x1))) u(t(b(x1))) -> u(b(s(x1))) s(t(b(s(x1)))) -> s(u(t(b(x1)))) b(t(b(s(x1)))) -> b(u(t(b(x1)))) t(t(b(s(x1)))) -> t(u(t(b(x1)))) u(t(b(s(x1)))) -> u(u(t(b(x1)))) s(t(u(x1))) -> s(u(t(x1))) b(t(u(x1))) -> b(u(t(x1)))
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