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SRS Stand 10685 pair #381719219
details
property
value
status
complete
benchmark
size-12-alpha-3-num-495.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n079.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.60484600067 seconds
cpu usage
26.98222759
max memory
3.2120832E9
stage attributes
key
value
output-size
6347
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 4 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 4 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPOrderProof [EQUIVALENT, 112 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 64 ms] (14) QDP (15) PisEmptyProof [EQUIVALENT, 0 ms] (16) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Q is empty. ---------------------------------------- (1) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (2) Obligation: Q DP problem: The TRS P consists of the following rules: A(a(x1)) -> B(x1) B(c(x1)) -> A(x1) C(b(x1)) -> B(c(c(a(x1)))) C(b(x1)) -> C(c(a(x1))) C(b(x1)) -> C(a(x1)) C(b(x1)) -> A(x1) The TRS R consists of the following rules: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (3) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 2 less nodes. ---------------------------------------- (4) Complex Obligation (AND) ---------------------------------------- (5) Obligation: Q DP problem: The TRS P consists of the following rules: B(c(x1)) -> A(x1) A(a(x1)) -> B(x1) The TRS R consists of the following rules: a(a(x1)) -> b(x1) b(c(x1)) -> a(x1) c(b(x1)) -> b(c(c(a(x1)))) Q is empty. We have to consider all minimal (P,Q,R)-chains. ----------------------------------------
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