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TRS Stand 20472 pair #381711114
details
property
value
status
complete
benchmark
prov.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n113.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0168461799622 seconds
cpu usage
0.013489543
max memory
1388544.0
stage attributes
key
value
output-size
2469
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR X Y) (RULES ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) ) Problem 1: Innermost Equivalent Processor: -> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: ACKIN(s(X),s(Y)) -> ACKIN(s(X),Y) ACKIN(s(X),s(Y)) -> U21(ackin(s(X),Y),X) U21(ackout(X),Y) -> ACKIN(Y,X) -> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) Problem 1: SCC Processor: -> Pairs: ACKIN(s(X),s(Y)) -> ACKIN(s(X),Y) ACKIN(s(X),s(Y)) -> U21(ackin(s(X),Y),X) U21(ackout(X),Y) -> ACKIN(Y,X) -> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ACKIN(s(X),s(Y)) -> ACKIN(s(X),Y) ACKIN(s(X),s(Y)) -> U21(ackin(s(X),Y),X) U21(ackout(X),Y) -> ACKIN(Y,X) ->->-> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) Problem 1: Subterm Processor: -> Pairs: ACKIN(s(X),s(Y)) -> ACKIN(s(X),Y) ACKIN(s(X),s(Y)) -> U21(ackin(s(X),Y),X) U21(ackout(X),Y) -> ACKIN(Y,X) -> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) ->Projection: pi(ACKIN) = 1 pi(U21) = 2 Problem 1: SCC Processor: -> Pairs: ACKIN(s(X),s(Y)) -> ACKIN(s(X),Y) U21(ackout(X),Y) -> ACKIN(Y,X) -> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: ACKIN(s(X),s(Y)) -> ACKIN(s(X),Y) ->->-> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) Problem 1: Subterm Processor: -> Pairs: ACKIN(s(X),s(Y)) -> ACKIN(s(X),Y) -> Rules: ackin(s(X),s(Y)) -> u21(ackin(s(X),Y),X) u21(ackout(X),Y) -> u22(ackin(Y,X)) ->Projection: pi(ACKIN) = 2 Problem 1:
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