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TRS Equational pair #487523101
details
property
value
status
complete
benchmark
AC10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
4.58637809753 seconds
cpu usage
4.300802136
max memory
1.3225984E7
stage attributes
key
value
output-size
42900
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 plus times)) (RULES plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x times(s(x),y) -> plus(times(x,y),y) times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) times(x,0) -> 0 ) Problem 1: Dependency Pairs Processor: -> FAxioms: 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) -> Pairs: PLUS(plus(s(x),y),x3) -> PLUS(s(plus(x,y)),x3) PLUS(plus(s(x),y),x3) -> PLUS(x,y) PLUS(plus(x,0),x3) -> PLUS(x,x3) PLUS(s(x),y) -> PLUS(x,y) TIMES(times(s(x),y),x3) -> PLUS(times(x,y),y) TIMES(times(s(x),y),x3) -> TIMES(plus(times(x,y),y),x3) TIMES(times(s(x),y),x3) -> TIMES(x,y) TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) TIMES(times(x,0),x3) -> TIMES(0,x3) TIMES(s(x),y) -> PLUS(times(x,y),y) TIMES(s(x),y) -> TIMES(x,y) TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) TIMES(x,plus(y,z)) -> TIMES(x,y) TIMES(x,plus(y,z)) -> TIMES(x,z) -> EAxioms: 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) -> Rules: plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x times(s(x),y) -> plus(times(x,y),y) times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) times(x,0) -> 0 -> SRules: PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) TIMES(times(x3,x4),x5) -> TIMES(x3,x4) TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) Problem 1: SCC Processor: -> FAxioms: 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) -> Pairs: PLUS(plus(s(x),y),x3) -> PLUS(s(plus(x,y)),x3) PLUS(plus(s(x),y),x3) -> PLUS(x,y) PLUS(plus(x,0),x3) -> PLUS(x,x3) PLUS(s(x),y) -> PLUS(x,y) TIMES(times(s(x),y),x3) -> PLUS(times(x,y),y) TIMES(times(s(x),y),x3) -> TIMES(plus(times(x,y),y),x3) TIMES(times(s(x),y),x3) -> TIMES(x,y) TIMES(times(x,plus(y,z)),x3) -> PLUS(times(x,y),times(x,z)) TIMES(times(x,plus(y,z)),x3) -> TIMES(plus(times(x,y),times(x,z)),x3) TIMES(times(x,plus(y,z)),x3) -> TIMES(x,y) TIMES(times(x,plus(y,z)),x3) -> TIMES(x,z) TIMES(times(x,0),x3) -> TIMES(0,x3) TIMES(s(x),y) -> PLUS(times(x,y),y) TIMES(s(x),y) -> TIMES(x,y) TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z)) TIMES(x,plus(y,z)) -> TIMES(x,y) TIMES(x,plus(y,z)) -> TIMES(x,z) -> EAxioms: 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) -> Rules: plus(s(x),y) -> s(plus(x,y)) plus(x,0) -> x times(s(x),y) -> plus(times(x,y),y) times(x,plus(y,z)) -> plus(times(x,y),times(x,z))
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