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TRS Standard pair #516960693
details
property
value
status
complete
benchmark
wiehe01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.0940918922424 seconds
cpu usage
0.106821935
max memory
1.318912E7
stage attributes
key
value
output-size
4681
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,0()) -> 0() 2: times(x,s(y)) -> plus(times(x,y),x) 3: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 4: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 5: plus(zero(),y) -> y 6: plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) 7: id(x) -> x 8: if(true(),x,y) -> x 9: if(false(),x,y) -> y 10: not(x) -> if(x,false(),true()) 11: gt(s(x),zero()) -> true() 12: gt(zero(),y) -> false() 13: gt(s(x),s(y)) -> gt(x,y) Number of strict rules: 13 Direct poly ... failed. Freezing gt 1: times(x,0()) -> 0() 2: times(x,s(y)) -> plus(times(x,y),x) 3: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 4: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 5: plus(zero(),y) -> y 6: plus(id(x),s(y)) -> s(plus(x,if(gt❆1_s(y,y),y,s(y)))) 7: id(x) -> x 8: if(true(),x,y) -> x 9: if(false(),x,y) -> y 10: not(x) -> if(x,false(),true()) 11: gt❆1_s(x,zero()) -> true() 12: gt❆1_zero(y) -> false() 13: gt❆1_s(x,s(y)) -> gt(x,y) 14: gt(zero(),_1) ->= gt❆1_zero(_1) 15: gt(s(_1),_2) ->= gt❆1_s(_1,_2) Number of strict rules: 13 Direct poly ... failed. Dependency Pairs: #1: #times(x,s(y)) -> #plus(times(x,y),x) #2: #times(x,s(y)) -> #times(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: #gt❆1_s(x,s(y)) -> #gt(x,y) #7: #gt(zero(),_1) ->? #gt❆1_zero(_1) #8: #not(x) -> #if(x,false(),true()) #9: #plus(s(x),s(y)) -> #plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) #10: #plus(s(x),s(y)) -> #if(gt(x,y),x,y) #11: #plus(s(x),s(y)) -> #gt(x,y) #12: #plus(s(x),s(y)) -> #if(not(gt(x,y)),id(x),id(y)) #13: #plus(s(x),s(y)) -> #not(gt(x,y)) #14: #plus(s(x),s(y)) -> #gt(x,y) #15: #plus(s(x),s(y)) -> #id(x) #16: #plus(s(x),s(y)) -> #id(y) #17: #gt(s(_1),_2) ->? #gt❆1_s(_1,_2) #18: #plus(s(x),x) -> #plus(if(gt(x,x),id(x),id(x)),s(x)) #19: #plus(s(x),x) -> #if(gt(x,x),id(x),id(x)) #20: #plus(s(x),x) -> #gt(x,x) #21: #plus(s(x),x) -> #id(x) #22: #plus(s(x),x) -> #id(x) Number of SCCs: 3, DPs: 6 SCC { #2 } Sum... succeeded. zero() w: (0) s(x1) w: (1 + x1) gt(x1,x2) w: (0) #plus(x1,x2) w: (0) false() w: (0) #id(x1) w: (0) true() w: (0) gt❆1_zero(x1) w: (0) #not(x1) w: (0) #times(x1,x2) w: (x2) #gt❆1_zero(x1) w: (0) 0() w: (0) if(x1,x2,x3) w: (0) times(x1,x2) w: (0) #gt(x1,x2) w: (0) #gt❆1_s(x1,x2) w: (0) plus(x1,x2) w: (0) #if(x1,x2,x3) w: (0) id(x1) w: (0) gt❆1_s(x1,x2) w: (0) not(x1) w: (0) USABLE RULES: { } Removed DPs: #2 Number of SCCs: 2, DPs: 5 SCC { #6 #17 } Sum... succeeded. zero() w: (0) s(x1) w: (2 + x1) gt(x1,x2) w: (0) #plus(x1,x2) w: (0) false() w: (0) #id(x1) w: (0) true() w: (0)
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