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SRS Stand 10685 pair #381717945
details
property
value
status
complete
benchmark
aprove5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n008.star.cs.uiowa.edu
space
Secret_05_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
13.2713699341 seconds
cpu usage
49.044975217
max memory
4.33842176E9
stage attributes
key
value
output-size
19891
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 2 ms] (4)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) DependencyGraphProof [EQUIVALENT, 0 ms] (13) QDP (14) MNOCProof [EQUIVALENT, 0 ms] (15) QDP (16) UsableRulesProof [EQUIVALENT, 0 ms] (17) QDP (18) QReductionProof [EQUIVALENT, 0 ms] (19) QDP (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] (21) YES (22) QDP (23) UsableRulesProof [EQUIVALENT, 0 ms] (24) QDP (25) MNOCProof [EQUIVALENT, 0 ms] (26) QDP (27) MRRProof [EQUIVALENT, 10 ms] (28) QDP (29) PisEmptyProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) UsableRulesProof [EQUIVALENT, 0 ms] (33) QDP (34) QDPOrderProof [EQUIVALENT, 84 ms] (35) QDP (36) DependencyGraphProof [EQUIVALENT, 0 ms] (37) QDP (38) QDPOrderProof [EQUIVALENT, 0 ms] (39) QDP (40) QDPOrderProof [EQUIVALENT, 77 ms] (41) QDP (42) QDPOrderProof [EQUIVALENT, 68 ms] (43) QDP (44) DependencyGraphProof [EQUIVALENT, 0 ms] (45) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(x1)) -> b(c(a(x1))) b(c(x1)) -> c(b(b(x1))) a(c(x1)) -> c(a(b(x1))) a(a(x1)) -> a(d(d(d(x1)))) d(a(x1)) -> d(d(c(x1))) a(d(d(c(x1)))) -> a(a(a(d(x1)))) e(e(f(f(x1)))) -> f(f(f(e(e(x1))))) e(x1) -> a(x1) b(d(x1)) -> d(d(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: b(a(x1)) -> a(c(b(x1))) c(b(x1)) -> b(b(c(x1))) c(a(x1)) -> b(a(c(x1))) a(a(x1)) -> d(d(d(a(x1)))) a(d(x1)) -> c(d(d(x1))) c(d(d(a(x1)))) -> d(a(a(a(x1)))) f(f(e(e(x1)))) -> e(e(f(f(f(x1))))) e(x1) -> a(x1) d(b(x1)) -> d(d(x1))
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