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TRS Relat 75837 pair #381724906
details
property
value
status
complete
benchmark
rtL-cbn5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n045.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
5.89677405357 seconds
cpu usage
20.300743083
max memory
3.388112896E9
stage attributes
key
value
output-size
21422
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSSemanticLabellingPOLOProof [EQUIVALENT, 568 ms] (2) RelTRS (3) RelTRSSemanticLabellingPOLOProof [EQUIVALENT, 273 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 0 ms] (6) RelTRS (7) RIsEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: top(ok(left(car(x, y), z))) -> top(check(right(y, z))) top(ok(right(x, car(y, z)))) -> top(check(left(x, z))) top(ok(left(bot, x))) -> top(check(right(bot, x))) top(ok(right(x, bot))) -> top(check(left(x, bot))) The relative TRS consists of the following S rules: top(ok(left(car(x, y), z))) -> top(check(left(y, z))) top(ok(right(x, car(y, z)))) -> top(check(right(x, z))) bot -> car(new, bot) check(old) -> ok(old) check(car(x, y)) -> car(check(x), y) check(car(x, y)) -> car(x, check(y)) check(left(x, y)) -> left(check(x), y) check(left(x, y)) -> left(x, check(y)) check(right(x, y)) -> right(check(x), y) check(right(x, y)) -> right(x, check(y)) car(ok(x), y) -> ok(car(x, y)) car(x, ok(y)) -> ok(car(x, y)) left(ok(x), y) -> ok(left(x, y)) left(x, ok(y)) -> ok(left(x, y)) right(ok(x), y) -> ok(right(x, y)) right(x, ok(y)) -> ok(right(x, y)) ---------------------------------------- (1) RelTRSSemanticLabellingPOLOProof (EQUIVALENT) We use Semantic Labelling over tuples of bools combined with a polynomial order [SEMLAB] We use semantic labelling over boolean tuples of size 1. We used the following model: top_1: component 1: OR[] ok_1: component 1: AND[] left_2: component 1: OR[x_1^1, x_2^1] car_2: component 1: OR[x_1^1, x_2^1] check_1: component 1: OR[x_1^1] right_2: component 1: OR[x_1^1, x_2^1] bot_0: component 1: OR[] new_0: component 1: OR[] old_0: component 1: AND[] Our labelling function was: top_1:component 1: XOR[x_1^1] ok_1:component 1: OR[] left_2:component 1: XOR[x_2^1] car_2:component 1: OR[x_2^1] check_1:component 1: XOR[]
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