I have multiple bed files (master_gr.bed, gr_2.bed, gr_3.bed) and want to find complete overlaps/intersection but seem to be getting results with at least 1 overlap

Here, i simulated data set with R and highlighted the spurious results. line 'chr1 2 2' is represented by only 1 file hence should not be present in the final output below.

(base) bash-4.2$ head data/bed_intersected_master_gr23.bed
chr1    2       2
chr1    3       3
chr1    4       4
chr1    5       5
chr1    6       6
chr1    7       7
chr1    8       8
chr1    9       9
chr1    10      10
chr1    11      11

code to produce results

library(plyranges)
library(tidyverse)
library(purrr)

#create granges
length_gr=100
master_gr <- data.frame(seqnames = c(rep("chr1",length_gr/2),rep("chr2",length_gr/2)) , 
                        start=c(seq(from =2,length.out=length_gr/2),
                                seq(from =1,length.out=length_gr/2)),
                        width=1, gc = runif(length_gr)) %>% as_granges()

len_gr2=50
gr_2 <- data.frame(seqnames = c(rep("chr1",len_gr2/2), rep("chr2",len_gr2/2)), 
                   start=c(seq(from = 5, length.out=len_gr2/2), 
                           seq(from = 10, length.out=len_gr2/2)),
                   width=1, gc = runif(len_gr2)) %>% as_granges()
len_gr3=300
gr_3 <- data.frame(seqnames = c(rep("chr1",len_gr3/2), rep("chr2",len_gr3/2)), 
                   start=c(seq(from = 1, length.out=len_gr3/2), 
                           seq(from = 35, length.out=len_gr3/2)),
                   width=1,gc = runif(len_gr3))%>%as_granges()


#merge all granges into a list
gr_list <- list(master_gr=master_gr, gr_2=gr_2, gr_3=gr_3)

#save a copy on disk
gr_list %>% iwalk(~write_tsv(as_tibble(.x) %>% select(c(seqnames,start,end)), file = paste0("data/" , .y , ".bed"), col_names = FALSE))

#run bedtools
system("bedtools intersect -a data/master_gr.bed -b data/gr_2.bed data/gr_3.bed -sorted -F 1.0 -u > data/bed_intersected_master_gr23.bed")