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TRS Standard pair #487074026
details
property
value
status
complete
benchmark
big.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n180.star.cs.uiowa.edu
space
CiME_04
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.274195 seconds
cpu usage
0.122897
user time
0.083157
system time
0.03974
max virtual memory
113188.0
max residence set size
9248.0
stage attributes
key
value
starexec-result
YES
output
YES Input TRS: 1: 0(\#()) -> \#() 2: +(x,\#()) -> x 3: +(\#(),x) -> x 4: +(0(x),0(y)) -> 0(+(x,y)) 5: +(0(x),1(y)) -> 1(+(x,y)) 6: +(1(x),0(y)) -> 1(+(x,y)) 7: +(1(x),1(y)) -> 0(+(+(x,y),1(\#()))) 8: +(+(x,y),z) -> +(x,+(y,z)) 9: -(\#(),x) -> \#() 10: -(x,\#()) -> x 11: -(0(x),0(y)) -> 0(-(x,y)) 12: -(0(x),1(y)) -> 1(-(-(x,y),1(\#()))) 13: -(1(x),0(y)) -> 1(-(x,y)) 14: -(1(x),1(y)) -> 0(-(x,y)) 15: not(true()) -> false() 16: not(false()) -> true() 17: if(true(),x,y) -> x 18: if(false(),x,y) -> y 19: eq(\#(),\#()) -> true() 20: eq(\#(),1(y)) -> false() 21: eq(1(x),\#()) -> false() 22: eq(\#(),0(y)) -> eq(\#(),y) 23: eq(0(x),\#()) -> eq(x,\#()) 24: eq(1(x),1(y)) -> eq(x,y) 25: eq(0(x),1(y)) -> false() 26: eq(1(x),0(y)) -> false() 27: eq(0(x),0(y)) -> eq(x,y) 28: ge(0(x),0(y)) -> ge(x,y) 29: ge(0(x),1(y)) -> not(ge(y,x)) 30: ge(1(x),0(y)) -> ge(x,y) 31: ge(1(x),1(y)) -> ge(x,y) 32: ge(x,\#()) -> true() 33: ge(\#(),0(x)) -> ge(\#(),x) 34: ge(\#(),1(x)) -> false() 35: log(x) -> -(log'(x),1(\#())) 36: log'(\#()) -> \#() 37: log'(1(x)) -> +(log'(x),1(\#())) 38: log'(0(x)) -> if(ge(x,1(\#())),+(log'(x),1(\#())),\#()) 39: *(\#(),x) -> \#() 40: *(0(x),y) -> 0(*(x,y)) 41: *(1(x),y) -> +(0(*(x,y)),y) 42: *(*(x,y),z) -> *(x,*(y,z)) 43: *(x,+(y,z)) -> +(*(x,y),*(x,z)) 44: app(nil(),l) -> l 45: app(cons(x,l1),l2) -> cons(x,app(l1,l2)) 46: sum(nil()) -> 0(\#()) 47: sum(cons(x,l)) -> +(x,sum(l)) 48: sum(app(l1,l2)) -> +(sum(l1),sum(l2)) 49: prod(nil()) -> 1(\#()) 50: prod(cons(x,l)) -> *(x,prod(l)) 51: prod(app(l1,l2)) -> *(prod(l1),prod(l2)) 52: mem(x,nil()) -> false() 53: mem(x,cons(y,l)) -> if(eq(x,y),true(),mem(x,l)) 54: inter(x,nil()) -> nil() 55: inter(nil(),x) -> nil() 56: inter(app(l1,l2),l3) -> app(inter(l1,l3),inter(l2,l3)) 57: inter(l1,app(l2,l3)) -> app(inter(l1,l2),inter(l1,l3)) 58: inter(cons(x,l1),l2) -> ifinter(mem(x,l2),x,l1,l2) 59: inter(l1,cons(x,l2)) -> ifinter(mem(x,l1),x,l2,l1) 60: ifinter(true(),x,l1,l2) -> cons(x,inter(l1,l2)) 61: ifinter(false(),x,l1,l2) -> inter(l1,l2) Number of strict rules: 61 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #*(x,+(y,z)) -> #+(*(x,y),*(x,z)) #2: #*(x,+(y,z)) -> #*(x,y) #3: #*(x,+(y,z)) -> #*(x,z) #4: #ge(0(x),1(y)) -> #not(ge(y,x)) #5: #ge(0(x),1(y)) -> #ge(y,x) #6: #log(x) -> #-(log'(x),1(\#())) #7: #log(x) -> #log'(x) #8: #sum(nil()) -> #0(\#()) #9: #*(*(x,y),z) -> #*(x,*(y,z)) #10: #*(*(x,y),z) -> #*(y,z) #11: #*(1(x),y) -> #+(0(*(x,y)),y) #12: #*(1(x),y) -> #0(*(x,y)) #13: #*(1(x),y) -> #*(x,y) #14: #log'(1(x)) -> #+(log'(x),1(\#())) #15: #log'(1(x)) -> #log'(x) #16: #sum(cons(x,l)) -> #+(x,sum(l)) #17: #sum(cons(x,l)) -> #sum(l) #18: #mem(x,cons(y,l)) -> #if(eq(x,y),true(),mem(x,l)) #19: #mem(x,cons(y,l)) -> #eq(x,y) #20: #mem(x,cons(y,l)) -> #mem(x,l) #21: #sum(app(l1,l2)) -> #+(sum(l1),sum(l2)) #22: #sum(app(l1,l2)) -> #sum(l1) #23: #sum(app(l1,l2)) -> #sum(l2) #24: #inter(cons(x,l1),l2) -> #ifinter(mem(x,l2),x,l1,l2) #25: #inter(cons(x,l1),l2) -> #mem(x,l2) #26: #ifinter(false(),x,l1,l2) -> #inter(l1,l2) #27: #log'(0(x)) -> #if(ge(x,1(\#())),+(log'(x),1(\#())),\#()) #28: #log'(0(x)) -> #ge(x,1(\#())) #29: #log'(0(x)) -> #+(log'(x),1(\#())) #30: #log'(0(x)) -> #log'(x) #31: #+(1(x),0(y)) -> #+(x,y) #32: #inter(l1,cons(x,l2)) -> #ifinter(mem(x,l1),x,l2,l1) #33: #inter(l1,cons(x,l2)) -> #mem(x,l1)
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