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TRS_Equational 2019-03-21 05.09 pair #429997193
details
property
value
status
complete
benchmark
AC26.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n032.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
5.227 seconds
cpu usage
4.49498
user time
2.97878
system time
1.5162
max virtual memory
678616.0
max residence set size
9448.0
stage attributes
key
value
starexec-result
YES
output
4.35/5.21 YES 4.35/5.21 4.35/5.21 Problem 1: 4.35/5.21 4.35/5.21 (VAR x y z) 4.35/5.21 (THEORY 4.35/5.21 (AC plus times)) 4.35/5.21 (RULES 4.35/5.21 plus(x,plus(s(y),z)) -> plus(s(plus(x,y)),z) 4.35/5.21 plus(x,0) -> x 4.35/5.21 plus(x,s(y)) -> s(plus(x,y)) 4.35/5.21 times(x,times(0,z)) -> times(0,z) 4.35/5.21 times(x,times(s(y),z)) -> times(plus(times(x,y),x),z) 4.35/5.21 times(x,0) -> 0 4.35/5.21 times(x,s(y)) -> plus(times(x,y),x) 4.35/5.21 ) 4.35/5.21 4.35/5.21 Problem 1: 4.35/5.21 4.35/5.21 Dependency Pairs Processor: 4.35/5.21 -> FAxioms: 4.35/5.21 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 4.35/5.21 PLUS(x3,x4) = PLUS(x4,x3) 4.35/5.21 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 4.35/5.21 TIMES(x3,x4) = TIMES(x4,x3) 4.35/5.21 -> Pairs: 4.35/5.21 PLUS(plus(x,plus(s(y),z)),x3) -> PLUS(plus(s(plus(x,y)),z),x3) 4.35/5.21 PLUS(plus(x,plus(s(y),z)),x3) -> PLUS(s(plus(x,y)),z) 4.35/5.21 PLUS(plus(x,plus(s(y),z)),x3) -> PLUS(x,y) 4.35/5.21 PLUS(plus(x,0),x3) -> PLUS(x,x3) 4.35/5.21 PLUS(plus(x,s(y)),x3) -> PLUS(s(plus(x,y)),x3) 4.35/5.21 PLUS(plus(x,s(y)),x3) -> PLUS(x,y) 4.35/5.21 PLUS(x,plus(s(y),z)) -> PLUS(s(plus(x,y)),z) 4.35/5.21 PLUS(x,plus(s(y),z)) -> PLUS(x,y) 4.35/5.21 PLUS(x,s(y)) -> PLUS(x,y) 4.35/5.21 TIMES(times(x,times(0,z)),x3) -> TIMES(times(0,z),x3) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> TIMES(plus(times(x,y),x),z) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> TIMES(times(plus(times(x,y),x),z),x3) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> TIMES(x,y) 4.35/5.21 TIMES(times(x,0),x3) -> TIMES(0,x3) 4.35/5.21 TIMES(times(x,s(y)),x3) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(times(x,s(y)),x3) -> TIMES(plus(times(x,y),x),x3) 4.35/5.21 TIMES(times(x,s(y)),x3) -> TIMES(x,y) 4.35/5.21 TIMES(x,times(s(y),z)) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(x,times(s(y),z)) -> TIMES(plus(times(x,y),x),z) 4.35/5.21 TIMES(x,times(s(y),z)) -> TIMES(x,y) 4.35/5.21 TIMES(x,s(y)) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(x,s(y)) -> TIMES(x,y) 4.35/5.21 -> EAxioms: 4.35/5.21 plus(plus(x3,x4),x5) = plus(x3,plus(x4,x5)) 4.35/5.21 plus(x3,x4) = plus(x4,x3) 4.35/5.21 times(times(x3,x4),x5) = times(x3,times(x4,x5)) 4.35/5.21 times(x3,x4) = times(x4,x3) 4.35/5.21 -> Rules: 4.35/5.21 plus(x,plus(s(y),z)) -> plus(s(plus(x,y)),z) 4.35/5.21 plus(x,0) -> x 4.35/5.21 plus(x,s(y)) -> s(plus(x,y)) 4.35/5.21 times(x,times(0,z)) -> times(0,z) 4.35/5.21 times(x,times(s(y),z)) -> times(plus(times(x,y),x),z) 4.35/5.21 times(x,0) -> 0 4.35/5.21 times(x,s(y)) -> plus(times(x,y),x) 4.35/5.21 -> SRules: 4.35/5.21 PLUS(plus(x3,x4),x5) -> PLUS(x3,x4) 4.35/5.21 PLUS(x3,plus(x4,x5)) -> PLUS(x4,x5) 4.35/5.21 TIMES(times(x3,x4),x5) -> TIMES(x3,x4) 4.35/5.21 TIMES(x3,times(x4,x5)) -> TIMES(x4,x5) 4.35/5.21 4.35/5.21 Problem 1: 4.35/5.21 4.35/5.21 SCC Processor: 4.35/5.21 -> FAxioms: 4.35/5.21 PLUS(plus(x3,x4),x5) = PLUS(x3,plus(x4,x5)) 4.35/5.21 PLUS(x3,x4) = PLUS(x4,x3) 4.35/5.21 TIMES(times(x3,x4),x5) = TIMES(x3,times(x4,x5)) 4.35/5.21 TIMES(x3,x4) = TIMES(x4,x3) 4.35/5.21 -> Pairs: 4.35/5.21 PLUS(plus(x,plus(s(y),z)),x3) -> PLUS(plus(s(plus(x,y)),z),x3) 4.35/5.21 PLUS(plus(x,plus(s(y),z)),x3) -> PLUS(s(plus(x,y)),z) 4.35/5.21 PLUS(plus(x,plus(s(y),z)),x3) -> PLUS(x,y) 4.35/5.21 PLUS(plus(x,0),x3) -> PLUS(x,x3) 4.35/5.21 PLUS(plus(x,s(y)),x3) -> PLUS(s(plus(x,y)),x3) 4.35/5.21 PLUS(plus(x,s(y)),x3) -> PLUS(x,y) 4.35/5.21 PLUS(x,plus(s(y),z)) -> PLUS(s(plus(x,y)),z) 4.35/5.21 PLUS(x,plus(s(y),z)) -> PLUS(x,y) 4.35/5.21 PLUS(x,s(y)) -> PLUS(x,y) 4.35/5.21 TIMES(times(x,times(0,z)),x3) -> TIMES(times(0,z),x3) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> TIMES(plus(times(x,y),x),z) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> TIMES(times(plus(times(x,y),x),z),x3) 4.35/5.21 TIMES(times(x,times(s(y),z)),x3) -> TIMES(x,y) 4.35/5.21 TIMES(times(x,0),x3) -> TIMES(0,x3) 4.35/5.21 TIMES(times(x,s(y)),x3) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(times(x,s(y)),x3) -> TIMES(plus(times(x,y),x),x3) 4.35/5.21 TIMES(times(x,s(y)),x3) -> TIMES(x,y) 4.35/5.21 TIMES(x,times(s(y),z)) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(x,times(s(y),z)) -> TIMES(plus(times(x,y),x),z) 4.35/5.21 TIMES(x,times(s(y),z)) -> TIMES(x,y) 4.35/5.21 TIMES(x,s(y)) -> PLUS(times(x,y),x) 4.35/5.21 TIMES(x,s(y)) -> TIMES(x,y)
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