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TRS Stand 20472 pair #381713745
details
property
value
status
complete
benchmark
emmes-nonloop-ex1_4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n108.star.cs.uiowa.edu
space
EEG_IJCAR_12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.1951639652 seconds
cpu usage
39.946880201
max memory
4.012187648E9
stage attributes
key
value
output-size
12816
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 14 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) QDPSizeChangeProof [EQUIVALENT, 0 ms] (20) YES (21) QDP (22) MNOCProof [EQUIVALENT, 0 ms] (23) QDP (24) NonLoopProof [COMPLETE, 210 ms] (25) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(true, x, y) -> f(gt(x, y), plus2(x), plus1(y)) gt(s(x), 0) -> true gt(0, y) -> false gt(s(x), s(y)) -> gt(x, y) plus1(x) -> plus(s(0), x) plus2(x) -> plus(s(s(0)), x) plus(0, y) -> y plus(s(x), y) -> plus(x, s(y)) Q is empty. ---------------------------------------- (1) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is gt(s(x), 0) -> true gt(0, y) -> false gt(s(x), s(y)) -> gt(x, y) plus1(x) -> plus(s(0), x) plus2(x) -> plus(s(s(0)), x) plus(0, y) -> y plus(s(x), y) -> plus(x, s(y)) The TRS R 2 is f(true, x, y) -> f(gt(x, y), plus2(x), plus1(y)) The signature Sigma is {f_3} ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(true, x, y) -> f(gt(x, y), plus2(x), plus1(y)) gt(s(x), 0) -> true gt(0, y) -> false gt(s(x), s(y)) -> gt(x, y) plus1(x) -> plus(s(0), x) plus2(x) -> plus(s(s(0)), x) plus(0, y) -> y plus(s(x), y) -> plus(x, s(y)) The set Q consists of the following terms: f(true, x0, x1) gt(s(x0), 0) gt(0, x0) gt(s(x0), s(x1)) plus1(x0) plus2(x0) plus(0, x0)
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