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TRS Standard pair #487066941
details
property
value
status
complete
benchmark
#4.35.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n174.star.cs.uiowa.edu
space
Strategy_removed_AG01
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.0976499 seconds
cpu usage
0.029111
user time
0.014798
system time
0.014313
max virtual memory
113188.0
max residence set size
6908.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: and(true(),y) -> y 2: and(false(),y) -> false() 3: eq(nil(),nil()) -> true() 4: eq(cons(t,l),nil()) -> false() 5: eq(nil(),cons(t,l)) -> false() 6: eq(cons(t,l),cons(t',l')) -> and(eq(t,t'),eq(l,l')) 7: eq(var(l),var(l')) -> eq(l,l') 8: eq(var(l),apply(t,s)) -> false() 9: eq(var(l),lambda(x,t)) -> false() 10: eq(apply(t,s),var(l)) -> false() 11: eq(apply(t,s),apply(t',s')) -> and(eq(t,t'),eq(s,s')) 12: eq(apply(t,s),lambda(x,t)) -> false() 13: eq(lambda(x,t),var(l)) -> false() 14: eq(lambda(x,t),apply(t,s)) -> false() 15: eq(lambda(x,t),lambda(x',t')) -> and(eq(x,x'),eq(t,t')) 16: if(true(),var(k),var(l')) -> var(k) 17: if(false(),var(k),var(l')) -> var(l') 18: ren(var(l),var(k),var(l')) -> if(eq(l,l'),var(k),var(l')) 19: ren(x,y,apply(t,s)) -> apply(ren(x,y,t),ren(x,y,s)) 20: ren(x,y,lambda(z,t)) -> lambda(var(cons(x,cons(y,cons(lambda(z,t),nil())))),ren(x,y,ren(z,var(cons(x,cons(y,cons(lambda(z,t),nil())))),t))) Number of strict rules: 20 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #eq(cons(t,l),cons(t',l')) -> #and(eq(t,t'),eq(l,l')) #2: #eq(cons(t,l),cons(t',l')) -> #eq(t,t') #3: #eq(cons(t,l),cons(t',l')) -> #eq(l,l') #4: #eq(apply(t,s),apply(t',s')) -> #and(eq(t,t'),eq(s,s')) #5: #eq(apply(t,s),apply(t',s')) -> #eq(t,t') #6: #eq(apply(t,s),apply(t',s')) -> #eq(s,s') #7: #ren(x,y,lambda(z,t)) -> #ren(x,y,ren(z,var(cons(x,cons(y,cons(lambda(z,t),nil())))),t)) #8: #ren(x,y,lambda(z,t)) -> #ren(z,var(cons(x,cons(y,cons(lambda(z,t),nil())))),t) #9: #eq(var(l),var(l')) -> #eq(l,l') #10: #ren(x,y,apply(t,s)) -> #ren(x,y,t) #11: #ren(x,y,apply(t,s)) -> #ren(x,y,s) #12: #eq(lambda(x,t),lambda(x',t')) -> #and(eq(x,x'),eq(t,t')) #13: #eq(lambda(x,t),lambda(x',t')) -> #eq(x,x') #14: #eq(lambda(x,t),lambda(x',t')) -> #eq(t,t') #15: #ren(var(l),var(k),var(l')) -> #if(eq(l,l'),var(k),var(l')) #16: #ren(var(l),var(k),var(l')) -> #eq(l,l') Number of SCCs: 2, DPs: 11 SCC { #7 #8 #10 #11 } POLO(Sum)... succeeded. apply w: x1 + x2 + 1 ren w: x3 and w: x1 + x2 + 2 eq w: x1 + x2 + 3 lambda w: x1 + x2 + 2 false w: 7 true w: 6 #eq w: 0 if w: 0 nil w: 1 #ren w: x1 + x2 + x3 cons w: 1 #if w: 0 var w: 0 #and w: 0 USABLE RULES: { 16..20 } Removed DPs: #7 #8 #10 #11 Number of SCCs: 1, DPs: 7 SCC { #2 #3 #5 #6 #9 #13 #14 } POLO(Sum)... succeeded. apply w: x1 + x2 + 1 ren w: x1 + x2 and w: x1 + x2 + 2 eq w: x1 + x2 + 1 lambda w: x1 + x2 + 1 false w: 4 true w: 4 #eq w: x1 if w: 1 nil w: 1 #ren w: 0 cons w: x1 + x2 + 1 #if w: 0 var w: x1 + 1 #and w: 0 USABLE RULES: { } Removed DPs: #2 #3 #5 #6 #9 #13 #14 Number of SCCs: 0, DPs: 0
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