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TRS Equat 89423 pair #381732820
details
property
value
status
complete
benchmark
AC52.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n081.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
1.85730195045 seconds
cpu usage
1.623067188
max memory
7913472.0
stage attributes
key
value
output-size
29864
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y z) (THEORY (AC times plus)) (RULES times(plus(x,y),z) -> plus(times(x,z),times(y,z)) times(z,plus(x,f(y))) -> times(g(z,y),plus(x,a)) ) Problem 1: Dependency Pairs Processor: -> FAxioms: TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) TIMES(x3,x4) = TIMES(x4,x3) PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) PLUS(x3,x4) = PLUS(x4,x3) -> Pairs: TIMES(times(plus(x,y),z),x3) -> TIMES(plus(times(x,z),times(y,z)),x3) TIMES(times(plus(x,y),z),x3) -> TIMES(x,z) TIMES(times(plus(x,y),z),x3) -> TIMES(y,z) TIMES(times(z,plus(x,f(y))),x3) -> TIMES(times(g(z,y),plus(x,a)),x3) TIMES(times(z,plus(x,f(y))),x3) -> TIMES(g(z,y),plus(x,a)) TIMES(plus(x,y),z) -> TIMES(x,z) TIMES(plus(x,y),z) -> TIMES(y,z) TIMES(z,plus(x,f(y))) -> TIMES(g(z,y),plus(x,a)) -> EAxioms: times(times(x3,x4),x5) = times(x3,times(x4,x5)) times(x3,x4) = times(x4,x3) plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) plus(x3,x4) = plus(x4,x3) -> Rules: times(plus(x,y),z) -> plus(times(x,z),times(y,z)) times(z,plus(x,f(y))) -> times(g(z,y),plus(x,a)) -> SRules: TIMES(times(x3,x4),x5) -> TIMES(x3,x4) TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) Problem 1: SCC Processor: -> FAxioms: TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) TIMES(x3,x4) = TIMES(x4,x3) PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) PLUS(x3,x4) = PLUS(x4,x3) -> Pairs: TIMES(times(plus(x,y),z),x3) -> TIMES(plus(times(x,z),times(y,z)),x3) TIMES(times(plus(x,y),z),x3) -> TIMES(x,z) TIMES(times(plus(x,y),z),x3) -> TIMES(y,z) TIMES(times(z,plus(x,f(y))),x3) -> TIMES(times(g(z,y),plus(x,a)),x3) TIMES(times(z,plus(x,f(y))),x3) -> TIMES(g(z,y),plus(x,a)) TIMES(plus(x,y),z) -> TIMES(x,z) TIMES(plus(x,y),z) -> TIMES(y,z) TIMES(z,plus(x,f(y))) -> TIMES(g(z,y),plus(x,a)) -> EAxioms: times(times(x3,x4),x5) = times(x3,times(x4,x5)) times(x3,x4) = times(x4,x3) plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) plus(x3,x4) = plus(x4,x3) -> Rules: times(plus(x,y),z) -> plus(times(x,z),times(y,z)) times(z,plus(x,f(y))) -> times(g(z,y),plus(x,a)) -> SRules: TIMES(times(x3,x4),x5) -> TIMES(x3,x4) TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: TIMES(times(plus(x,y),z),x3) -> TIMES(plus(times(x,z),times(y,z)),x3) TIMES(times(plus(x,y),z),x3) -> TIMES(x,z) TIMES(times(plus(x,y),z),x3) -> TIMES(y,z) TIMES(times(z,plus(x,f(y))),x3) -> TIMES(times(g(z,y),plus(x,a)),x3) TIMES(times(z,plus(x,f(y))),x3) -> TIMES(g(z,y),plus(x,a)) TIMES(plus(x,y),z) -> TIMES(x,z) TIMES(plus(x,y),z) -> TIMES(y,z) TIMES(z,plus(x,f(y))) -> TIMES(g(z,y),plus(x,a)) -> FAxioms: times(times(x3,x4),x5) -> times(x3,times(x4,x5)) times(x3,x4) -> times(x4,x3) plus(plus(x3,x4),x5) -> plus(x3,plus(x4,x5)) plus(x3,x4) -> plus(x4,x3) TIMES(times(x3,x4),x5) -> TIMES(x3,times(x4,x5)) TIMES(x3,x4) -> TIMES(x4,x3) -> EAxioms: times(times(x3,x4),x5) = times(x3,times(x4,x5)) times(x3,x4) = times(x4,x3)
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