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TRS Equat 89423 pair #381732695
details
property
value
status
complete
benchmark
YWHM14_4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
Mixed_AC
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.467303037643 seconds
cpu usage
0.369268908
max memory
5525504.0
stage attributes
key
value
output-size
30218
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: (THEORY (AC ac1 ac2)) (RULES ac1(a,ac2(b,c)) -> ac1(b,f(ac2(a,c))) ac2(a,ac1(b,c)) -> ac2(b,f(ac1(a,c))) ) Problem 1: Dependency Pairs Processor: -> FAxioms: AC1(ac1(x0,x1),x2) = AC1(x0,ac1(x1,x2)) AC1(x0,x1) = AC1(x1,x0) AC2(ac2(x0,x1),x2) = AC2(x0,ac2(x1,x2)) AC2(x0,x1) = AC2(x1,x0) -> Pairs: AC1(ac1(a,ac2(b,c)),x0) -> AC1(ac1(b,f(ac2(a,c))),x0) AC1(ac1(a,ac2(b,c)),x0) -> AC1(b,f(ac2(a,c))) AC1(ac1(a,ac2(b,c)),x0) -> AC2(a,c) AC1(a,ac2(b,c)) -> AC1(b,f(ac2(a,c))) AC1(a,ac2(b,c)) -> AC2(a,c) AC2(ac2(a,ac1(b,c)),x0) -> AC1(a,c) AC2(ac2(a,ac1(b,c)),x0) -> AC2(ac2(b,f(ac1(a,c))),x0) AC2(ac2(a,ac1(b,c)),x0) -> AC2(b,f(ac1(a,c))) AC2(a,ac1(b,c)) -> AC1(a,c) AC2(a,ac1(b,c)) -> AC2(b,f(ac1(a,c))) -> EAxioms: ac1(ac1(x0,x1),x2) = ac1(x0,ac1(x1,x2)) ac1(x0,x1) = ac1(x1,x0) ac2(ac2(x0,x1),x2) = ac2(x0,ac2(x1,x2)) ac2(x0,x1) = ac2(x1,x0) -> Rules: ac1(a,ac2(b,c)) -> ac1(b,f(ac2(a,c))) ac2(a,ac1(b,c)) -> ac2(b,f(ac1(a,c))) -> SRules: AC1(ac1(x0,x1),x2) -> AC1(x0,x1) AC1(x0,ac1(x1,x2)) -> AC1(x1,x2) AC2(ac2(x0,x1),x2) -> AC2(x0,x1) AC2(x0,ac2(x1,x2)) -> AC2(x1,x2) Problem 1: SCC Processor: -> FAxioms: AC1(ac1(x0,x1),x2) = AC1(x0,ac1(x1,x2)) AC1(x0,x1) = AC1(x1,x0) AC2(ac2(x0,x1),x2) = AC2(x0,ac2(x1,x2)) AC2(x0,x1) = AC2(x1,x0) -> Pairs: AC1(ac1(a,ac2(b,c)),x0) -> AC1(ac1(b,f(ac2(a,c))),x0) AC1(ac1(a,ac2(b,c)),x0) -> AC1(b,f(ac2(a,c))) AC1(ac1(a,ac2(b,c)),x0) -> AC2(a,c) AC1(a,ac2(b,c)) -> AC1(b,f(ac2(a,c))) AC1(a,ac2(b,c)) -> AC2(a,c) AC2(ac2(a,ac1(b,c)),x0) -> AC1(a,c) AC2(ac2(a,ac1(b,c)),x0) -> AC2(ac2(b,f(ac1(a,c))),x0) AC2(ac2(a,ac1(b,c)),x0) -> AC2(b,f(ac1(a,c))) AC2(a,ac1(b,c)) -> AC1(a,c) AC2(a,ac1(b,c)) -> AC2(b,f(ac1(a,c))) -> EAxioms: ac1(ac1(x0,x1),x2) = ac1(x0,ac1(x1,x2)) ac1(x0,x1) = ac1(x1,x0) ac2(ac2(x0,x1),x2) = ac2(x0,ac2(x1,x2)) ac2(x0,x1) = ac2(x1,x0) -> Rules: ac1(a,ac2(b,c)) -> ac1(b,f(ac2(a,c))) ac2(a,ac1(b,c)) -> ac2(b,f(ac1(a,c))) -> SRules: AC1(ac1(x0,x1),x2) -> AC1(x0,x1) AC1(x0,ac1(x1,x2)) -> AC1(x1,x2) AC2(ac2(x0,x1),x2) -> AC2(x0,x1) AC2(x0,ac2(x1,x2)) -> AC2(x1,x2) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: AC1(ac1(a,ac2(b,c)),x0) -> AC1(ac1(b,f(ac2(a,c))),x0) AC1(ac1(a,ac2(b,c)),x0) -> AC1(b,f(ac2(a,c))) AC1(ac1(a,ac2(b,c)),x0) -> AC2(a,c) AC1(a,ac2(b,c)) -> AC1(b,f(ac2(a,c))) AC1(a,ac2(b,c)) -> AC2(a,c) AC2(ac2(a,ac1(b,c)),x0) -> AC1(a,c) AC2(ac2(a,ac1(b,c)),x0) -> AC2(ac2(b,f(ac1(a,c))),x0) AC2(ac2(a,ac1(b,c)),x0) -> AC2(b,f(ac1(a,c))) AC2(a,ac1(b,c)) -> AC1(a,c) AC2(a,ac1(b,c)) -> AC2(b,f(ac1(a,c))) -> FAxioms: ac1(ac1(x0,x1),x2) -> ac1(x0,ac1(x1,x2)) ac1(x0,x1) -> ac1(x1,x0) ac2(ac2(x0,x1),x2) -> ac2(x0,ac2(x1,x2)) ac2(x0,x1) -> ac2(x1,x0)
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