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SRS Standard pair #487519751
details
property
value
status
complete
benchmark
z074.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n035.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.9724490643 seconds
cpu usage
39.309396128
max memory
4.535820288E9
stage attributes
key
value
output-size
15692
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 34 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 0 ms] (6) QDP (7) DependencyGraphProof [EQUIVALENT, 0 ms] (8) AND (9) QDP (10) UsableRulesProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) UsableRulesProof [EQUIVALENT, 0 ms] (26) QDP (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) UsableRulesProof [EQUIVALENT, 0 ms] (31) QDP (32) MRRProof [EQUIVALENT, 20 ms] (33) QDP (34) UsableRulesProof [EQUIVALENT, 0 ms] (35) QDP (36) QDPOrderProof [EQUIVALENT, 10 ms] (37) QDP (38) PisEmptyProof [EQUIVALENT, 0 ms] (39) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: r(r(x1)) -> s(r(x1)) r(s(x1)) -> s(r(x1)) r(n(x1)) -> s(r(x1)) r(b(x1)) -> u(s(b(x1))) r(u(x1)) -> u(r(x1)) s(u(x1)) -> u(s(x1)) n(u(x1)) -> u(n(x1)) t(r(u(x1))) -> t(c(r(x1))) t(s(u(x1))) -> t(c(r(x1))) t(n(u(x1))) -> t(c(r(x1))) c(u(x1)) -> u(c(x1)) c(s(x1)) -> s(c(x1)) c(r(x1)) -> r(c(x1)) c(n(x1)) -> n(c(x1)) c(n(x1)) -> n(x1) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: r(r(x1)) -> r(s(x1)) s(r(x1)) -> r(s(x1)) n(r(x1)) -> r(s(x1)) b(r(x1)) -> b(s(u(x1))) u(r(x1)) -> r(u(x1)) u(s(x1)) -> s(u(x1)) u(n(x1)) -> n(u(x1)) u(r(t(x1))) -> r(c(t(x1))) u(s(t(x1))) -> r(c(t(x1)))
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