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TRS Standard pair #516960678
details
property
value
status
complete
benchmark
wiehe06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n075.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.266736984253 seconds
cpu usage
0.187577128
max memory
1.42336E7
stage attributes
key
value
output-size
5191
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) 2: times(x,1()) -> x 3: times(x,0()) -> 0() 4: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 5: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 6: plus(zero(),y) -> y 7: plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) 8: id(x) -> x 9: if(true(),x,y) -> x 10: if(false(),x,y) -> y 11: not(x) -> if(x,false(),true()) 12: gt(s(x),zero()) -> true() 13: gt(zero(),y) -> false() 14: gt(s(x),s(y)) -> gt(x,y) Number of strict rules: 14 Direct poly ... failed. Freezing gt 1: times(x,plus(y,1())) -> plus(times(x,plus(y,times(1(),0()))),x) 2: times(x,1()) -> x 3: times(x,0()) -> 0() 4: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 5: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 6: plus(zero(),y) -> y 7: plus(id(x),s(y)) -> s(plus(x,if(gt❆1_s(y,y),y,s(y)))) 8: id(x) -> x 9: if(true(),x,y) -> x 10: if(false(),x,y) -> y 11: not(x) -> if(x,false(),true()) 12: gt❆1_s(x,zero()) -> true() 13: gt❆1_zero(y) -> false() 14: gt❆1_s(x,s(y)) -> gt(x,y) 15: gt(zero(),_1) ->= gt❆1_zero(_1) 16: gt(s(_1),_2) ->= gt❆1_s(_1,_2) Number of strict rules: 14 Direct poly ... failed. Dependency Pairs: #1: #not(x) -> #if(x,false(),true()) #2: #gt❆1_s(x,s(y)) -> #gt(x,y) #3: #plus(id(x),s(y)) -> #plus(x,if(gt❆1_s(y,y),y,s(y))) #4: #plus(id(x),s(y)) -> #if(gt❆1_s(y,y),y,s(y)) #5: #plus(id(x),s(y)) -> #gt❆1_s(y,y) #6: #plus(s(x),x) -> #plus(if(gt(x,x),id(x),id(x)),s(x)) #7: #plus(s(x),x) -> #if(gt(x,x),id(x),id(x)) #8: #plus(s(x),x) -> #gt(x,x) #9: #plus(s(x),x) -> #id(x) #10: #plus(s(x),x) -> #id(x) #11: #gt(s(_1),_2) ->? #gt❆1_s(_1,_2) #12: #times(x,plus(y,1())) -> #plus(times(x,plus(y,times(1(),0()))),x) #13: #times(x,plus(y,1())) -> #times(x,plus(y,times(1(),0()))) #14: #times(x,plus(y,1())) -> #plus(y,times(1(),0())) #15: #times(x,plus(y,1())) -> #times(1(),0()) #16: #gt(zero(),_1) ->? #gt❆1_zero(_1) #17: #plus(s(x),s(y)) -> #plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) #18: #plus(s(x),s(y)) -> #if(gt(x,y),x,y) #19: #plus(s(x),s(y)) -> #gt(x,y) #20: #plus(s(x),s(y)) -> #if(not(gt(x,y)),id(x),id(y)) #21: #plus(s(x),s(y)) -> #not(gt(x,y)) #22: #plus(s(x),s(y)) -> #gt(x,y) #23: #plus(s(x),s(y)) -> #id(x) #24: #plus(s(x),s(y)) -> #id(y) Number of SCCs: 3, DPs: 6 SCC { #13 } Sum... succeeded. zero() w: (1) 1() w: (32287) s(x1) w: (0) gt(x1,x2) w: (11798 + x2 + x1) #plus(x1,x2) w: (0) false() w: (11801) #id(x1) w: (0) true() w: (11800) gt❆1_zero(x1) w: (11800) #not(x1) w: (0) #times(x1,x2) w: (x2) #gt❆1_zero(x1) w: (0) 0() w: (32286) if(x1,x2,x3) w: (8366) times(x1,x2) w: (x2) #gt(x1,x2) w: (0) #gt❆1_s(x1,x2) w: (0) plus(x1,x2) w: (x2) #if(x1,x2,x3) w: (0) id(x1) w: (8856) gt❆1_s(x1,x2) w: (11799 + x1) not(x1) w: (x1) USABLE RULES: { 3..7 } Removed DPs: #13 Number of SCCs: 2, DPs: 5 SCC { #2 #11 } Sum... succeeded. zero() w: (1) 1() w: (32287)
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