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TRS Equational pair #487523176
details
property
value
status
complete
benchmark
AC05.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
1.57342219353 seconds
cpu usage
1.372601578
max memory
9170944.0
stage attributes
key
value
output-size
33232
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) (THEORY (AC plus times)) (RULES div(0,s(y)) -> 0 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) minus(x,0) -> x p(s(x)) -> x plus(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(x,times(x,y)) ) Problem 1: Dependency Pairs Processor: -> FAxioms: PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) PLUS(x2,x3) = PLUS(x3,x2) TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) TIMES(x2,x3) = TIMES(x3,x2) -> Pairs: DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) DIV(s(x),s(y)) -> MINUS(x,y) MINUS(s(x),s(y)) -> MINUS(p(s(x)),p(s(y))) MINUS(s(x),s(y)) -> P(s(x)) MINUS(s(x),s(y)) -> P(s(y)) PLUS(plus(x,0),x2) -> PLUS(x,x2) PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) PLUS(plus(x,s(y)),x2) -> PLUS(x,y) PLUS(x,s(y)) -> PLUS(x,y) TIMES(times(x,0),x2) -> TIMES(0,x2) TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) TIMES(times(x,s(y)),x2) -> TIMES(x,y) TIMES(x,s(y)) -> PLUS(x,times(x,y)) TIMES(x,s(y)) -> TIMES(x,y) -> EAxioms: plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) plus(x2,x3) = plus(x3,x2) times(times(x2,x3),x4) = times(x2,times(x3,x4)) times(x2,x3) = times(x3,x2) -> Rules: div(0,s(y)) -> 0 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) minus(x,0) -> x p(s(x)) -> x plus(x,0) -> x plus(x,s(y)) -> s(plus(x,y)) times(x,0) -> 0 times(x,s(y)) -> plus(x,times(x,y)) -> SRules: PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) TIMES(times(x2,x3),x4) -> TIMES(x2,x3) TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) Problem 1: SCC Processor: -> FAxioms: PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) PLUS(x2,x3) = PLUS(x3,x2) TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) TIMES(x2,x3) = TIMES(x3,x2) -> Pairs: DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) DIV(s(x),s(y)) -> MINUS(x,y) MINUS(s(x),s(y)) -> MINUS(p(s(x)),p(s(y))) MINUS(s(x),s(y)) -> P(s(x)) MINUS(s(x),s(y)) -> P(s(y)) PLUS(plus(x,0),x2) -> PLUS(x,x2) PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) PLUS(plus(x,s(y)),x2) -> PLUS(x,y) PLUS(x,s(y)) -> PLUS(x,y) TIMES(times(x,0),x2) -> TIMES(0,x2) TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) TIMES(times(x,s(y)),x2) -> TIMES(x,y) TIMES(x,s(y)) -> PLUS(x,times(x,y)) TIMES(x,s(y)) -> TIMES(x,y) -> EAxioms: plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) plus(x2,x3) = plus(x3,x2) times(times(x2,x3),x4) = times(x2,times(x3,x4)) times(x2,x3) = times(x3,x2) -> Rules:
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