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SRS Relative pair #487521681
details
property
value
status
complete
benchmark
rel10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n053.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.790722847 seconds
cpu usage
36.054395377
max memory
4.297121792E9
stage attributes
key
value
output-size
53223
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 23 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 189 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 84 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 72 ms] (10) RelTRS (11) RelTRSRRRProof [EQUIVALENT, 30 ms] (12) RelTRS (13) RelTRSRRRProof [EQUIVALENT, 21 ms] (14) RelTRS (15) RelTRSRRRProof [EQUIVALENT, 0 ms] (16) RelTRS (17) RelTRSRRRProof [EQUIVALENT, 14 ms] (18) RelTRS (19) RIsEmptyProof [EQUIVALENT, 4 ms] (20) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b(p(b(x1))) -> b(q(b(x1))) The relative TRS consists of the following S rules: 1(p(0(1(0(x1))))) -> p(x1) q(x1) -> 0(q(0(x1))) q(x1) -> 1(q(1(x1))) q(x1) -> 0(p(0(x1))) q(x1) -> 1(p(1(x1))) ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b(p(b(x1))) -> b(q(b(x1))) The relative TRS consists of the following S rules: b(1(p(0(1(0(x1)))))) -> b(p(x1)) p(1(p(0(1(0(x1)))))) -> p(p(x1)) q(1(p(0(1(0(x1)))))) -> q(p(x1)) 1(1(p(0(1(0(x1)))))) -> 1(p(x1)) 0(1(p(0(1(0(x1)))))) -> 0(p(x1)) b(q(x1)) -> b(0(q(0(x1)))) p(q(x1)) -> p(0(q(0(x1)))) q(q(x1)) -> q(0(q(0(x1)))) 1(q(x1)) -> 1(0(q(0(x1)))) 0(q(x1)) -> 0(0(q(0(x1)))) b(q(x1)) -> b(1(q(1(x1)))) p(q(x1)) -> p(1(q(1(x1)))) q(q(x1)) -> q(1(q(1(x1)))) 1(q(x1)) -> 1(1(q(1(x1)))) 0(q(x1)) -> 0(1(q(1(x1)))) b(q(x1)) -> b(0(p(0(x1)))) p(q(x1)) -> p(0(p(0(x1)))) q(q(x1)) -> q(0(p(0(x1)))) 1(q(x1)) -> 1(0(p(0(x1)))) 0(q(x1)) -> 0(0(p(0(x1)))) b(q(x1)) -> b(1(p(1(x1)))) p(q(x1)) -> p(1(p(1(x1)))) q(q(x1)) -> q(1(p(1(x1)))) 1(q(x1)) -> 1(1(p(1(x1)))) 0(q(x1)) -> 0(1(p(1(x1)))) ---------------------------------------- (3) RootLabelingProof (EQUIVALENT)
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