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TRS Equat 89423 pair #381732626
details
property
value
status
complete
benchmark
AC09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n096.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
7.2778980732 seconds
cpu usage
6.344990698
max memory
1.480704E7
stage attributes
key
value
output-size
46401
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 z) (THEORY (AC plus times)) (RULES i(i(x)) -> x i(plus(x,y)) -> plus(i(x),i(y)) i(0) -> 0 plus(x,i(x)) -> 0 plus(x,0) -> x times(x,i(y)) -> i(times(x,y)) times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) times(x,0) -> 0 times(x,1) -> x ) 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: I(plus(x,y)) -> I(x) I(plus(x,y)) -> I(y) I(plus(x,y)) -> PLUS(i(x),i(y)) PLUS(plus(x,i(x)),x3) -> PLUS(0,x3) PLUS(plus(x,0),x3) -> PLUS(x,x3) TIMES(times(x,i(y)),x3) -> I(times(x,y)) TIMES(times(x,i(y)),x3) -> TIMES(i(times(x,y)),x3) TIMES(times(x,i(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(times(x,1),x3) -> TIMES(x,x3) TIMES(x,i(y)) -> I(times(x,y)) TIMES(x,i(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: i(i(x)) -> x i(plus(x,y)) -> plus(i(x),i(y)) i(0) -> 0 plus(x,i(x)) -> 0 plus(x,0) -> x times(x,i(y)) -> i(times(x,y)) times(x,plus(y,z)) -> plus(times(x,y),times(x,z)) times(x,0) -> 0 times(x,1) -> x -> 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: I(plus(x,y)) -> I(x) I(plus(x,y)) -> I(y) I(plus(x,y)) -> PLUS(i(x),i(y)) PLUS(plus(x,i(x)),x3) -> PLUS(0,x3) PLUS(plus(x,0),x3) -> PLUS(x,x3) TIMES(times(x,i(y)),x3) -> I(times(x,y)) TIMES(times(x,i(y)),x3) -> TIMES(i(times(x,y)),x3) TIMES(times(x,i(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(times(x,1),x3) -> TIMES(x,x3) TIMES(x,i(y)) -> I(times(x,y)) TIMES(x,i(y)) -> TIMES(x,y) TIMES(x,plus(y,z)) -> PLUS(times(x,y),times(x,z))
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