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TRS Standard pair #516965890
details
property
value
status
complete
benchmark
Ex4_7_56_Bor03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Strategy_removed_CSR_05
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.6335670948 seconds
cpu usage
7.019410105
max memory
5.30137088E8
stage attributes
key
value
output-size
7912
starexec-result
NO
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO proof of /export/starexec/sandbox/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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) Overlay + Local Confluence [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 12 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 0 ms] (11) QDP (12) QDPSizeChangeProof [EQUIVALENT, 0 ms] (13) YES (14) QDP (15) UsableRulesProof [EQUIVALENT, 0 ms] (16) QDP (17) QReductionProof [EQUIVALENT, 0 ms] (18) QDP (19) TransformationProof [EQUIVALENT, 0 ms] (20) QDP (21) TransformationProof [EQUIVALENT, 0 ms] (22) QDP (23) NonTerminationLoopProof [COMPLETE, 0 ms] (24) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: from(X) -> cons(X, from(s(X))) after(0, XS) -> XS after(s(N), cons(X, XS)) -> after(N, XS) Q is empty. ---------------------------------------- (1) Overlay + Local Confluence (EQUIVALENT) The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: from(X) -> cons(X, from(s(X))) after(0, XS) -> XS after(s(N), cons(X, XS)) -> after(N, XS) The set Q consists of the following terms: from(x0) after(0, x0) after(s(x0), cons(x1, x2)) ---------------------------------------- (3) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (4) Obligation: Q DP problem: The TRS P consists of the following rules: FROM(X) -> FROM(s(X)) AFTER(s(N), cons(X, XS)) -> AFTER(N, XS) The TRS R consists of the following rules: from(X) -> cons(X, from(s(X))) after(0, XS) -> XS after(s(N), cons(X, XS)) -> after(N, XS) The set Q consists of the following terms: from(x0) after(0, x0) after(s(x0), cons(x1, x2))
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