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TRS_Equational 2019-03-21 05.09 pair #429997196
details
property
value
status
complete
benchmark
AC01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
AProVE_AC_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.178778 seconds
cpu usage
0.180577
user time
0.090057
system time
0.09052
max virtual memory
113176.0
max residence set size
4988.0
stage attributes
key
value
starexec-result
YES
output
0.00/0.17 YES 0.00/0.17 0.00/0.17 Problem 1: 0.00/0.17 0.00/0.17 (VAR x y) 0.00/0.17 (THEORY 0.00/0.17 (AC plus)) 0.00/0.17 (RULES 0.00/0.17 plus(x,0) -> x 0.00/0.17 plus(x,s(y)) -> s(plus(x,y)) 0.00/0.17 ) 0.00/0.17 0.00/0.17 Problem 1: 0.00/0.17 0.00/0.17 Reduction Order Processor: 0.00/0.17 -> Rules: 0.00/0.17 plus(x,0) -> x 0.00/0.17 plus(x,s(y)) -> s(plus(x,y)) 0.00/0.17 ->Interpretation type: 0.00/0.17 Linear 0.00/0.17 ->Coefficients: 0.00/0.17 Natural Numbers 0.00/0.17 ->Dimension: 0.00/0.17 1 0.00/0.17 ->Bound: 0.00/0.17 2 0.00/0.17 ->Interpretation: 0.00/0.17 0.00/0.17 [plus](X1,X2) = X1 + X2 + 2 0.00/0.17 [0] = 2 0.00/0.17 [s](X) = X + 2 0.00/0.17 0.00/0.17 Problem 1: 0.00/0.17 0.00/0.17 Dependency Pairs Processor: 0.00/0.17 -> FAxioms: 0.00/0.17 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 0.00/0.17 PLUS(x2,x3) = PLUS(x3,x2) 0.00/0.17 -> Pairs: 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 0.00/0.17 PLUS(x,s(y)) -> PLUS(x,y) 0.00/0.17 -> EAxioms: 0.00/0.17 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 0.00/0.17 plus(x2,x3) = plus(x3,x2) 0.00/0.17 -> Rules: 0.00/0.17 plus(x,s(y)) -> s(plus(x,y)) 0.00/0.17 -> SRules: 0.00/0.17 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 0.00/0.17 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 0.00/0.17 0.00/0.17 Problem 1: 0.00/0.17 0.00/0.17 SCC Processor: 0.00/0.17 -> FAxioms: 0.00/0.17 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 0.00/0.17 PLUS(x2,x3) = PLUS(x3,x2) 0.00/0.17 -> Pairs: 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 0.00/0.17 PLUS(x,s(y)) -> PLUS(x,y) 0.00/0.17 -> EAxioms: 0.00/0.17 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 0.00/0.17 plus(x2,x3) = plus(x3,x2) 0.00/0.17 -> Rules: 0.00/0.17 plus(x,s(y)) -> s(plus(x,y)) 0.00/0.17 -> SRules: 0.00/0.17 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 0.00/0.17 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 0.00/0.17 ->Strongly Connected Components: 0.00/0.17 ->->Cycle: 0.00/0.17 ->->-> Pairs: 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 0.00/0.17 PLUS(x,s(y)) -> PLUS(x,y) 0.00/0.17 -> FAxioms: 0.00/0.17 plus(plus(x2,x3),x4) -> plus(x2,plus(x3,x4)) 0.00/0.17 plus(x2,x3) -> plus(x3,x2) 0.00/0.17 PLUS(plus(x2,x3),x4) -> PLUS(x2,plus(x3,x4)) 0.00/0.17 PLUS(x2,x3) -> PLUS(x3,x2) 0.00/0.17 -> EAxioms: 0.00/0.17 plus(plus(x2,x3),x4) = plus(x2,plus(x3,x4)) 0.00/0.17 plus(x2,x3) = plus(x3,x2) 0.00/0.17 ->->-> Rules: 0.00/0.17 plus(x,s(y)) -> s(plus(x,y)) 0.00/0.17 -> SRules: 0.00/0.17 PLUS(plus(x2,x3),x4) -> PLUS(x2,x3) 0.00/0.17 PLUS(x2,plus(x3,x4)) -> PLUS(x3,x4) 0.00/0.17 0.00/0.17 Problem 1: 0.00/0.17 0.00/0.17 Reduction Pairs Processor: 0.00/0.17 -> FAxioms: 0.00/0.17 PLUS(plus(x2,x3),x4) = PLUS(x2,plus(x3,x4)) 0.00/0.17 PLUS(x2,x3) = PLUS(x3,x2) 0.00/0.17 -> Pairs: 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(s(plus(x,y)),x2) 0.00/0.17 PLUS(plus(x,s(y)),x2) -> PLUS(x,y) 0.00/0.17 PLUS(x,s(y)) -> PLUS(x,y) 0.00/0.17 -> EAxioms:
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