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TRS Stand 20472 pair #381710819
details
property
value
status
complete
benchmark
14.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n023.star.cs.uiowa.edu
space
Various_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.95674395561 seconds
cpu usage
8.230642214
max memory
6.80357888E8
stage attributes
key
value
output-size
32401
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 214 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 61 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 52 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 27 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 23 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 0 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 9 ms] (14) QTRS (15) DependencyPairsProof [EQUIVALENT, 0 ms] (16) QDP (17) DependencyGraphProof [EQUIVALENT, 0 ms] (18) AND (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) UsableRulesProof [EQUIVALENT, 0 ms] (26) QDP (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) UsableRulesProof [EQUIVALENT, 0 ms] (31) QDP (32) MRRProof [EQUIVALENT, 1 ms] (33) QDP (34) PisEmptyProof [EQUIVALENT, 0 ms] (35) YES (36) QDP (37) UsableRulesProof [EQUIVALENT, 0 ms] (38) QDP (39) MRRProof [EQUIVALENT, 7 ms] (40) QDP (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] (42) YES (43) QDP (44) UsableRulesProof [EQUIVALENT, 0 ms] (45) QDP (46) QDPSizeChangeProof [EQUIVALENT, 0 ms] (47) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: O(0) -> 0 +(0, x) -> x +(x, 0) -> x +(O(x), O(y)) -> O(+(x, y)) +(O(x), I(y)) -> I(+(x, y)) +(I(x), O(y)) -> I(+(x, y)) +(I(x), I(y)) -> O(+(+(x, y), I(0))) +(x, +(y, z)) -> +(+(x, y), z) -(x, 0) -> x -(0, x) -> 0 -(O(x), O(y)) -> O(-(x, y)) -(O(x), I(y)) -> I(-(-(x, y), I(1))) -(I(x), O(y)) -> I(-(x, y)) -(I(x), I(y)) -> O(-(x, y)) not(true) -> false not(false) -> true and(x, true) -> x and(x, false) -> false if(true, x, y) -> x if(false, x, y) -> y ge(O(x), O(y)) -> ge(x, y) ge(O(x), I(y)) -> not(ge(y, x)) ge(I(x), O(y)) -> ge(x, y) ge(I(x), I(y)) -> ge(x, y) ge(x, 0) -> true ge(0, O(x)) -> ge(0, x) ge(0, I(x)) -> false Log'(0) -> 0 Log'(I(x)) -> +(Log'(x), I(0)) Log'(O(x)) -> if(ge(x, I(0)), +(Log'(x), I(0)), 0)
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