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TRS Standard pair #516964648
details
property
value
status
complete
benchmark
division.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n048.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.164082050323 seconds
cpu usage
0.081952527
max memory
1.1128832E7
stage attributes
key
value
output-size
2953
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: le(0(),Y) -> true() 2: le(s(X),0()) -> false() 3: le(s(X),s(Y)) -> le(X,Y) 4: minus(0(),Y) -> 0() 5: minus(s(X),Y) -> ifMinus(le(s(X),Y),s(X),Y) 6: ifMinus(true(),s(X),Y) -> 0() 7: ifMinus(false(),s(X),Y) -> s(minus(X,Y)) 8: quot(0(),s(Y)) -> 0() 9: quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) Number of strict rules: 9 Direct poly ... failed. Freezing le 1: le❆1_0(Y) -> true() 2: le❆1_s(X,0()) -> false() 3: le❆1_s(X,s(Y)) -> le(X,Y) 4: minus(0(),Y) -> 0() 5: minus(s(X),Y) -> ifMinus(le❆1_s(X,Y),s(X),Y) 6: ifMinus(true(),s(X),Y) -> 0() 7: ifMinus(false(),s(X),Y) -> s(minus(X,Y)) 8: quot(0(),s(Y)) -> 0() 9: quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y))) 10: le(0(),_1) ->= le❆1_0(_1) 11: le(s(_1),_2) ->= le❆1_s(_1,_2) Number of strict rules: 9 Direct poly ... failed. Dependency Pairs: #1: #quot(s(X),s(Y)) -> #quot(minus(X,Y),s(Y)) #2: #quot(s(X),s(Y)) -> #minus(X,Y) #3: #le(s(_1),_2) ->? #le❆1_s(_1,_2) #4: #ifMinus(false(),s(X),Y) -> #minus(X,Y) #5: #le(0(),_1) ->? #le❆1_0(_1) #6: #minus(s(X),Y) -> #ifMinus(le❆1_s(X,Y),s(X),Y) #7: #minus(s(X),Y) -> #le❆1_s(X,Y) #8: #le❆1_s(X,s(Y)) -> #le(X,Y) Number of SCCs: 3, DPs: 5 SCC { #1 } Sum... succeeded. le(x1,x2) w: (6) s(x1) w: (2 + x1) #le(x1,x2) w: (0) minus(x1,x2) w: (1 + x1) false() w: (5) true() w: (8) #le❆1_0(x1) w: (0) le❆1_s(x1,x2) w: (3 + x2) ifMinus(x1,x2,x3) w: (1 + x2) 0() w: (1) quot(x1,x2) w: (0) #le❆1_s(x1,x2) w: (0) #minus(x1,x2) w: (0) #quot(x1,x2) w: (26285 + x2 + x1) #ifMinus(x1,x2,x3) w: (0) le❆1_0(x1) w: (7 + x1) USABLE RULES: { 4..7 } Removed DPs: #1 Number of SCCs: 2, DPs: 4 SCC { #3 #8 } Sum... succeeded. le(x1,x2) w: (6) s(x1) w: (2 + x1) #le(x1,x2) w: (28881 + x1) minus(x1,x2) w: (1 + x1) false() w: (5) true() w: (8) #le❆1_0(x1) w: (0) le❆1_s(x1,x2) w: (3 + x2) ifMinus(x1,x2,x3) w: (1 + x2) 0() w: (1) quot(x1,x2) w: (0) #le❆1_s(x1,x2) w: (28882 + x1) #minus(x1,x2) w: (0) #quot(x1,x2) w: (26285 + x1) #ifMinus(x1,x2,x3) w: (0) le❆1_0(x1) w: (7 + x1) USABLE RULES: { 4..7 } Removed DPs: #3 #8 Number of SCCs: 1, DPs: 2 SCC { #4 #6 } Sum... succeeded. le(x1,x2) w: (6) s(x1) w: (2 + x1) #le(x1,x2) w: (28881) minus(x1,x2) w: (2447 + x1) false() w: (5) true() w: (8) #le❆1_0(x1) w: (0) le❆1_s(x1,x2) w: (3 + x2) ifMinus(x1,x2,x3) w: (2447 + x2) 0() w: (1) quot(x1,x2) w: (0) #le❆1_s(x1,x2) w: (28882) #minus(x1,x2) w: (1 + x1)
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