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TRS_Equational 2019-03-21 05.09 pair #429997238
details
property
value
status
complete
benchmark
AC20.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
1.49492 seconds
cpu usage
1.19847
user time
0.690974
system time
0.507501
max virtual memory
434820.0
max residence set size
6996.0
stage attributes
key
value
starexec-result
YES
output
1.16/1.48 YES 1.16/1.48 1.16/1.48 Problem 1: 1.16/1.48 1.16/1.48 (VAR x y) 1.16/1.48 (THEORY 1.16/1.48 (AC plus times)) 1.16/1.48 (RULES 1.16/1.48 div(0,s(y)) -> 0 1.16/1.48 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.16/1.48 minus(s(x),s(y)) -> minus(x,y) 1.16/1.48 minus(x,0) -> x 1.16/1.48 plus(x,0) -> x 1.16/1.48 plus(x,s(y)) -> s(plus(x,y)) 1.16/1.48 times(x,0) -> 0 1.16/1.48 times(x,s(y)) -> plus(times(x,y),x) 1.16/1.48 ) 1.16/1.48 1.16/1.48 Problem 1: 1.16/1.48 1.16/1.48 Dependency Pairs Processor: 1.16/1.48 -> FAxioms: 1.16/1.48 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.16/1.48 PLUS(x2,x3) = PLUS(x3,x2) 1.16/1.48 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.16/1.48 TIMES(x2,x3) = TIMES(x3,x2) 1.16/1.48 -> Pairs: 1.16/1.48 DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) 1.16/1.48 DIV(s(x),s(y)) -> MINUS(x,y) 1.16/1.48 MINUS(s(x),s(y)) -> MINUS(x,y) 1.16/1.48 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.16/1.48 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.16/1.48 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.16/1.48 PLUS(x,s(y)) -> PLUS(x,y) 1.16/1.48 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.16/1.48 TIMES(times(x,s(y)),x2) -> PLUS(times(x,y),x) 1.16/1.48 TIMES(times(x,s(y)),x2) -> TIMES(plus(times(x,y),x),x2) 1.16/1.48 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.16/1.48 TIMES(x,s(y)) -> PLUS(times(x,y),x) 1.16/1.48 TIMES(x,s(y)) -> TIMES(x,y) 1.16/1.48 -> EAxioms: 1.16/1.48 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.16/1.48 plus(x2,x3) = plus(x3,x2) 1.16/1.48 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.16/1.48 times(x2,x3) = times(x3,x2) 1.16/1.48 -> Rules: 1.16/1.48 div(0,s(y)) -> 0 1.16/1.48 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.16/1.48 minus(s(x),s(y)) -> minus(x,y) 1.16/1.48 minus(x,0) -> x 1.16/1.48 plus(x,0) -> x 1.16/1.48 plus(x,s(y)) -> s(plus(x,y)) 1.16/1.48 times(x,0) -> 0 1.16/1.48 times(x,s(y)) -> plus(times(x,y),x) 1.16/1.48 -> SRules: 1.16/1.48 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 1.16/1.48 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 1.16/1.48 TIMES(times(x2,x3),x4) -> TIMES(x2,x3) 1.16/1.48 TIMES(x2,times(x3,x4)) -> TIMES(x3,x4) 1.16/1.48 1.16/1.48 Problem 1: 1.16/1.48 1.16/1.48 SCC Processor: 1.16/1.48 -> FAxioms: 1.16/1.48 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 1.16/1.48 PLUS(x2,x3) = PLUS(x3,x2) 1.16/1.48 TIMES(times(x2,x3),x4) = TIMES(x2,times(x3,x4)) 1.16/1.48 TIMES(x2,x3) = TIMES(x3,x2) 1.16/1.48 -> Pairs: 1.16/1.48 DIV(s(x),s(y)) -> DIV(minus(x,y),s(y)) 1.16/1.48 DIV(s(x),s(y)) -> MINUS(x,y) 1.16/1.48 MINUS(s(x),s(y)) -> MINUS(x,y) 1.16/1.48 PLUS(plus(x,0),x2) -> PLUS(x,x2) 1.16/1.48 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 1.16/1.48 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 1.16/1.48 PLUS(x,s(y)) -> PLUS(x,y) 1.16/1.48 TIMES(times(x,0),x2) -> TIMES(0,x2) 1.16/1.48 TIMES(times(x,s(y)),x2) -> PLUS(times(x,y),x) 1.16/1.48 TIMES(times(x,s(y)),x2) -> TIMES(plus(times(x,y),x),x2) 1.16/1.48 TIMES(times(x,s(y)),x2) -> TIMES(x,y) 1.16/1.48 TIMES(x,s(y)) -> PLUS(times(x,y),x) 1.16/1.48 TIMES(x,s(y)) -> TIMES(x,y) 1.16/1.48 -> EAxioms: 1.16/1.48 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 1.16/1.48 plus(x2,x3) = plus(x3,x2) 1.16/1.48 times(times(x2,x3),x4) = times(x2,times(x3,x4)) 1.16/1.48 times(x2,x3) = times(x3,x2) 1.16/1.48 -> Rules: 1.16/1.48 div(0,s(y)) -> 0 1.16/1.48 div(s(x),s(y)) -> s(div(minus(x,y),s(y))) 1.16/1.48 minus(s(x),s(y)) -> minus(x,y) 1.16/1.48 minus(x,0) -> x 1.16/1.48 plus(x,0) -> x 1.16/1.48 plus(x,s(y)) -> s(plus(x,y)) 1.16/1.48 times(x,0) -> 0 1.16/1.48 times(x,s(y)) -> plus(times(x,y),x) 1.16/1.48 -> SRules: 1.16/1.48 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 1.16/1.48 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 1.16/1.48 TIMES(times(x2,x3),x4) -> TIMES(x2,x3)
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