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TRS Stand 20472 pair #381711770
details
property
value
status
complete
benchmark
Liveness6.3.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n104.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.35148215294 seconds
cpu usage
18.065366651
max memory
2.246373376E9
stage attributes
key
value
output-size
17155
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 30 ms] (4) QTRS (5) DependencyPairsProof [EQUIVALENT, 4 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, 10 ms] (33) QDP (34) UsableRulesProof [EQUIVALENT, 0 ms] (35) QDP (36) QDPOrderProof [EQUIVALENT, 0 ms] (37) QDP (38) PisEmptyProof [EQUIVALENT, 0 ms] (39) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: rec(rec(x)) -> sent(rec(x)) rec(sent(x)) -> sent(rec(x)) rec(no(x)) -> sent(rec(x)) rec(bot) -> up(sent(bot)) rec(up(x)) -> up(rec(x)) sent(up(x)) -> up(sent(x)) no(up(x)) -> up(no(x)) top(rec(up(x))) -> top(check(rec(x))) top(sent(up(x))) -> top(check(rec(x))) top(no(up(x))) -> top(check(rec(x))) check(up(x)) -> up(check(x)) check(sent(x)) -> sent(check(x)) check(rec(x)) -> rec(check(x)) check(no(x)) -> no(check(x)) check(no(x)) -> no(x) 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: rec(rec(x)) -> rec(sent(x)) sent(rec(x)) -> rec(sent(x)) no(rec(x)) -> rec(sent(x)) bot'(rec(x)) -> bot'(sent(up(x))) up(rec(x)) -> rec(up(x)) up(sent(x)) -> sent(up(x)) up(no(x)) -> no(up(x)) up(rec(top(x))) -> rec(check(top(x))) up(sent(top(x))) -> rec(check(top(x)))
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