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TRS Standard pair #516961690
details
property
value
status
complete
benchmark
Ex24_GM04_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
27.9202141762 seconds
cpu usage
55.848449211
max memory
2.830118912E9
stage attributes
key
value
output-size
5600
starexec-result
NO
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 5 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) NonTerminationLoopProof [COMPLETE, 10.8 s] (7) NO (8) QDP (9) UsableRulesProof [EQUIVALENT, 0 ms] (10) QDP (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__f(X, g(X), Y) -> a__f(Y, Y, Y) a__g(b) -> c a__b -> c mark(f(X1, X2, X3)) -> a__f(X1, X2, X3) mark(g(X)) -> a__g(mark(X)) mark(b) -> a__b mark(c) -> c a__f(X1, X2, X3) -> f(X1, X2, X3) a__g(X) -> g(X) a__b -> b 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__F(X, g(X), Y) -> A__F(Y, Y, Y) MARK(f(X1, X2, X3)) -> A__F(X1, X2, X3) MARK(g(X)) -> A__G(mark(X)) MARK(g(X)) -> MARK(X) MARK(b) -> A__B The TRS R consists of the following rules: a__f(X, g(X), Y) -> a__f(Y, Y, Y) a__g(b) -> c a__b -> c mark(f(X1, X2, X3)) -> a__f(X1, X2, X3) mark(g(X)) -> a__g(mark(X)) mark(b) -> a__b mark(c) -> c a__f(X1, X2, X3) -> f(X1, X2, X3) a__g(X) -> g(X) a__b -> b 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 3 less nodes. ---------------------------------------- (4) Complex Obligation (AND) ---------------------------------------- (5) Obligation: Q DP problem: The TRS P consists of the following rules: A__F(X, g(X), Y) -> A__F(Y, Y, Y) The TRS R consists of the following rules:
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