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SRS Relative pair #487521391
details
property
value
status
complete
benchmark
random-159.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.1600439548 seconds
cpu usage
41.502421963
max memory
4.4048384E9
stage attributes
key
value
output-size
7004
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRS Reverse [EQUIVALENT, 0 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 1250 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 57 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 0 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 33 ms] (10) RelTRS (11) SIsEmptyProof [EQUIVALENT, 0 ms] (12) QTRS (13) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (14) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: c(a(b(x1))) -> c(b(b(x1))) b(c(c(x1))) -> c(c(c(x1))) a(a(a(x1))) -> c(c(b(x1))) The relative TRS consists of the following S rules: c(b(b(x1))) -> c(c(c(x1))) c(a(c(x1))) -> a(a(b(x1))) b(c(b(x1))) -> b(b(b(x1))) ---------------------------------------- (1) RelTRS Reverse (EQUIVALENT) We have reversed the following relative TRS [REVERSE]: The set of rules R is c(a(b(x1))) -> c(b(b(x1))) b(c(c(x1))) -> c(c(c(x1))) a(a(a(x1))) -> c(c(b(x1))) The set of rules S is c(b(b(x1))) -> c(c(c(x1))) c(a(c(x1))) -> a(a(b(x1))) b(c(b(x1))) -> b(b(b(x1))) We have obtained the following relative TRS: The set of rules R is b(a(c(x1))) -> b(b(c(x1))) c(c(b(x1))) -> c(c(c(x1))) a(a(a(x1))) -> b(c(c(x1))) The set of rules S is b(b(c(x1))) -> c(c(c(x1))) c(a(c(x1))) -> b(a(a(x1))) b(c(b(x1))) -> b(b(b(x1))) ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b(a(c(x1))) -> b(b(c(x1))) c(c(b(x1))) -> c(c(c(x1))) a(a(a(x1))) -> b(c(c(x1))) The relative TRS consists of the following S rules: b(b(c(x1))) -> c(c(c(x1))) c(a(c(x1))) -> b(a(a(x1))) b(c(b(x1))) -> b(b(b(x1))) ---------------------------------------- (3) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^6, +, *, >=, >) : <<< POL(b(x_1)) = [[0], [0], [0], [0], [0], [0]] + [[1, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]] * x_1
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