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TRS_Equational 2019-03-21 05.09 pair #429997190
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
n089.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
1.44835 seconds
cpu usage
1.33816
user time
0.810508
system time
0.527647
max virtual memory
677200.0
max residence set size
6880.0
stage attributes
key
value
starexec-result
YES
output
1.24/1.44 YES 1.24/1.44 1.24/1.44 Problem 1: 1.24/1.44 1.24/1.44 (VAR x y) 1.24/1.44 (THEORY 1.24/1.44 (AC plus times)) 1.24/1.44 (RULES 1.24/1.44 div(0,s(y)) -> 0 1.24/1.44 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.24/1.44 minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) 1.24/1.44 minus(x,0) -> x 1.24/1.44 p(s(x)) -> x 1.24/1.44 plus(x,0) -> x 1.24/1.44 plus(x,s(y)) -> s(plus(x,y)) 1.24/1.44 times(x,0) -> 0 1.24/1.44 times(x,s(y)) -> plus(x,times(x,y)) 1.24/1.44 ) 1.24/1.44 1.24/1.44 Problem 1: 1.24/1.44 1.24/1.44 Dependency Pairs Processor: 1.24/1.44 -> FAxioms: 1.24/1.44 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.24/1.44 PLUS(x2,x3) = PLUS(x3,x2) 1.24/1.44 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.24/1.44 TIMES(x2,x3) = TIMES(x3,x2) 1.24/1.44 -> Pairs: 1.24/1.44 DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) 1.24/1.44 DIV(s(x),s(y)) -> MINUS(x,y) 1.24/1.44 MINUS(s(x),s(y)) -> MINUS(p(s(x)),p(s(y))) 1.24/1.44 MINUS(s(x),s(y)) -> P(s(x)) 1.24/1.44 MINUS(s(x),s(y)) -> P(s(y)) 1.24/1.44 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.24/1.44 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.24/1.44 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.24/1.44 PLUS(x,s(y)) -> PLUS(x,y) 1.24/1.44 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.24/1.44 TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) 1.24/1.44 TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) 1.24/1.44 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.24/1.44 TIMES(x,s(y)) -> PLUS(x,times(x,y)) 1.24/1.44 TIMES(x,s(y)) -> TIMES(x,y) 1.24/1.44 -> EAxioms: 1.24/1.44 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.24/1.44 plus(x2,x3) = plus(x3,x2) 1.24/1.44 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.24/1.44 times(x2,x3) = times(x3,x2) 1.24/1.44 -> Rules: 1.24/1.44 div(0,s(y)) -> 0 1.24/1.44 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.24/1.44 minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) 1.24/1.44 minus(x,0) -> x 1.24/1.44 p(s(x)) -> x 1.24/1.44 plus(x,0) -> x 1.24/1.44 plus(x,s(y)) -> s(plus(x,y)) 1.24/1.44 times(x,0) -> 0 1.24/1.44 times(x,s(y)) -> plus(x,times(x,y)) 1.24/1.44 -> SRules: 1.24/1.44 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 1.24/1.44 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 1.24/1.44 TIMES(times(x2,x3),x4) -> TIMES(x2,x3) 1.24/1.44 TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) 1.24/1.44 1.24/1.44 Problem 1: 1.24/1.44 1.24/1.44 SCC Processor: 1.24/1.44 -> FAxioms: 1.24/1.44 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.24/1.44 PLUS(x2,x3) = PLUS(x3,x2) 1.24/1.44 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.24/1.44 TIMES(x2,x3) = TIMES(x3,x2) 1.24/1.44 -> Pairs: 1.24/1.44 DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) 1.24/1.44 DIV(s(x),s(y)) -> MINUS(x,y) 1.24/1.44 MINUS(s(x),s(y)) -> MINUS(p(s(x)),p(s(y))) 1.24/1.44 MINUS(s(x),s(y)) -> P(s(x)) 1.24/1.44 MINUS(s(x),s(y)) -> P(s(y)) 1.24/1.44 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.24/1.44 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.24/1.44 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.24/1.44 PLUS(x,s(y)) -> PLUS(x,y) 1.24/1.44 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.24/1.44 TIMES(times(x,s(y)),x2) -> PLUS(x,times(x,y)) 1.24/1.44 TIMES(times(x,s(y)),x2) -> TIMES(plus(x,times(x,y)),x2) 1.24/1.44 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.24/1.44 TIMES(x,s(y)) -> PLUS(x,times(x,y)) 1.24/1.44 TIMES(x,s(y)) -> TIMES(x,y) 1.24/1.44 -> EAxioms: 1.24/1.44 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.24/1.44 plus(x2,x3) = plus(x3,x2) 1.24/1.44 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.24/1.44 times(x2,x3) = times(x3,x2) 1.24/1.44 -> Rules: 1.24/1.44 div(0,s(y)) -> 0 1.24/1.44 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.24/1.44 minus(s(x),s(y)) -> minus(p(s(x)),p(s(y))) 1.24/1.44 minus(x,0) -> x 1.24/1.44 p(s(x)) -> x 1.24/1.44 plus(x,0) -> x
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