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TRS Stand 20472 pair #381709956
details
property
value
status
complete
benchmark
halfdouble.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
AProVE_10
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.8522469997 seconds
cpu usage
25.835719218
max memory
4.431171584E9
stage attributes
key
value
output-size
16289
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 1 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) UsableRulesProof [EQUIVALENT, 0 ms] (23) QDP (24) QReductionProof [EQUIVALENT, 0 ms] (25) QDP (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] (27) YES (28) QDP (29) MNOCProof [EQUIVALENT, 0 ms] (30) QDP (31) NonLoopProof [COMPLETE, 760 ms] (32) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(tt, x) -> f(eq(x, half(double(x))), s(x)) eq(s(x), s(y)) -> eq(x, y) eq(0, 0) -> tt double(s(x)) -> s(s(double(x))) double(0) -> 0 half(s(s(x))) -> s(half(x)) half(0) -> 0 Q is empty. ---------------------------------------- (1) AAECC Innermost (EQUIVALENT) We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is eq(s(x), s(y)) -> eq(x, y) eq(0, 0) -> tt double(s(x)) -> s(s(double(x))) double(0) -> 0 half(s(s(x))) -> s(half(x)) half(0) -> 0 The TRS R 2 is f(tt, x) -> f(eq(x, half(double(x))), s(x)) The signature Sigma is {f_2} ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: f(tt, x) -> f(eq(x, half(double(x))), s(x)) eq(s(x), s(y)) -> eq(x, y) eq(0, 0) -> tt double(s(x)) -> s(s(double(x))) double(0) -> 0 half(s(s(x))) -> s(half(x)) half(0) -> 0 The set Q consists of the following terms: f(tt, x0) eq(s(x0), s(x1)) eq(0, 0)
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