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TRS_Equational 2019-03-21 05.09 pair #429997211
details
property
value
status
complete
benchmark
AC51.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n165.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.610821 seconds
cpu usage
0.585967
user time
0.341201
system time
0.244766
max virtual memory
433796.0
max residence set size
5920.0
stage attributes
key
value
starexec-result
YES
output
0.53/0.60 YES 0.53/0.60 0.53/0.60 Problem 1: 0.53/0.60 0.53/0.60 (VAR x y) 0.53/0.60 (THEORY 0.53/0.60 (AC plus)) 0.53/0.60 (RULES 0.53/0.60 plus(0,y) -> y 0.53/0.60 plus(s(x),0) -> s(x) 0.53/0.60 plus(s(x),s(y)) -> s(plus(s(x),plus(y,0))) 0.53/0.60 ) 0.53/0.60 0.53/0.60 Problem 1: 0.53/0.60 0.53/0.60 Dependency Pairs Processor: 0.53/0.60 -> FAxioms: 0.53/0.60 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 0.53/0.60 PLUS(x2,x3) = PLUS(x3,x2) 0.53/0.60 -> Pairs: 0.53/0.60 PLUS(plus(0,y),x2) -> PLUS(y,x2) 0.53/0.60 PLUS(plus(s(x),0),x2) -> PLUS(s(x),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(plus(s(x),plus(y,0))),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(x),plus(y,0)) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(y,0) 0.53/0.60 PLUS(s(x),s(y)) -> PLUS(s(x),plus(y,0)) 0.53/0.60 PLUS(s(x),s(y)) -> PLUS(y,0) 0.53/0.60 -> EAxioms: 0.53/0.60 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 0.53/0.60 plus(x2,x3) = plus(x3,x2) 0.53/0.60 -> Rules: 0.53/0.60 plus(0,y) -> y 0.53/0.60 plus(s(x),0) -> s(x) 0.53/0.60 plus(s(x),s(y)) -> s(plus(s(x),plus(y,0))) 0.53/0.60 -> SRules: 0.53/0.60 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 0.53/0.60 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 0.53/0.60 0.53/0.60 Problem 1: 0.53/0.60 0.53/0.60 SCC Processor: 0.53/0.60 -> FAxioms: 0.53/0.60 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 0.53/0.60 PLUS(x2,x3) = PLUS(x3,x2) 0.53/0.60 -> Pairs: 0.53/0.60 PLUS(plus(0,y),x2) -> PLUS(y,x2) 0.53/0.60 PLUS(plus(s(x),0),x2) -> PLUS(s(x),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(plus(s(x),plus(y,0))),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(x),plus(y,0)) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(y,0) 0.53/0.60 PLUS(s(x),s(y)) -> PLUS(s(x),plus(y,0)) 0.53/0.60 PLUS(s(x),s(y)) -> PLUS(y,0) 0.53/0.60 -> EAxioms: 0.53/0.60 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 0.53/0.60 plus(x2,x3) = plus(x3,x2) 0.53/0.60 -> Rules: 0.53/0.60 plus(0,y) -> y 0.53/0.60 plus(s(x),0) -> s(x) 0.53/0.60 plus(s(x),s(y)) -> s(plus(s(x),plus(y,0))) 0.53/0.60 -> SRules: 0.53/0.60 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 0.53/0.60 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 0.53/0.60 ->Strongly Connected Components: 0.53/0.60 ->->Cycle: 0.53/0.60 ->->-> Pairs: 0.53/0.60 PLUS(plus(0,y),x2) -> PLUS(y,x2) 0.53/0.60 PLUS(plus(s(x),0),x2) -> PLUS(s(x),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(plus(s(x),plus(y,0))),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(x),plus(y,0)) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(y,0) 0.53/0.60 PLUS(s(x),s(y)) -> PLUS(s(x),plus(y,0)) 0.53/0.60 PLUS(s(x),s(y)) -> PLUS(y,0) 0.53/0.60 -> FAxioms: 0.53/0.60 plus(plus(x2,x3),x4) -> plus(x2,plus(x3,x4)) 0.53/0.60 plus(x2,x3) -> plus(x3,x2) 0.53/0.60 PLUS(plus(x2,x3),x4) -> PLUS(x2,plus(x3,x4)) 0.53/0.60 PLUS(x2,x3) -> PLUS(x3,x2) 0.53/0.60 -> EAxioms: 0.53/0.60 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 0.53/0.60 plus(x2,x3) = plus(x3,x2) 0.53/0.60 ->->-> Rules: 0.53/0.60 plus(0,y) -> y 0.53/0.60 plus(s(x),0) -> s(x) 0.53/0.60 plus(s(x),s(y)) -> s(plus(s(x),plus(y,0))) 0.53/0.60 -> SRules: 0.53/0.60 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 0.53/0.60 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 0.53/0.60 0.53/0.60 Problem 1: 0.53/0.60 0.53/0.60 Reduction Pairs Processor: 0.53/0.60 -> FAxioms: 0.53/0.60 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 0.53/0.60 PLUS(x2,x3) = PLUS(x3,x2) 0.53/0.60 -> Pairs: 0.53/0.60 PLUS(plus(0,y),x2) -> PLUS(y,x2) 0.53/0.60 PLUS(plus(s(x),0),x2) -> PLUS(s(x),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(plus(s(x),plus(y,0))),x2) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(s(x),plus(y,0)) 0.53/0.60 PLUS(plus(s(x),s(y)),x2) -> PLUS(y,0)
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