Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Standard pair #516960793
details
property
value
status
complete
benchmark
wiehe09.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n059.star.cs.uiowa.edu
space
AProVE_07
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.269092082977 seconds
cpu usage
0.219537489
max memory
1.4258176E7
stage attributes
key
value
output-size
6228
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: minus(x,0()) -> x 2: minus(s(x),s(y)) -> minus(x,y) 3: quot(0(),s(y)) -> 0() 4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 5: minus(minus(x,y),z) -> minus(x,plus(y,z)) 6: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 7: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 8: plus(zero(),y) -> y 9: plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y)))) 10: id(x) -> x 11: if(true(),x,y) -> x 12: if(false(),x,y) -> y 13: not(x) -> if(x,false(),true()) 14: gt(s(x),zero()) -> true() 15: gt(zero(),y) -> false() 16: gt(s(x),s(y)) -> gt(x,y) Number of strict rules: 16 Direct poly ... failed. Freezing gt 1: minus(x,0()) -> x 2: minus(s(x),s(y)) -> minus(x,y) 3: quot(0(),s(y)) -> 0() 4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y))) 5: minus(minus(x,y),z) -> minus(x,plus(y,z)) 6: plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))))) 7: plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x)) 8: plus(zero(),y) -> y 9: plus(id(x),s(y)) -> s(plus(x,if(gt❆1_s(y,y),y,s(y)))) 10: id(x) -> x 11: if(true(),x,y) -> x 12: if(false(),x,y) -> y 13: not(x) -> if(x,false(),true()) 14: gt❆1_s(x,zero()) -> true() 15: gt❆1_zero(y) -> false() 16: gt❆1_s(x,s(y)) -> gt(x,y) 17: gt(zero(),_1) ->= gt❆1_zero(_1) 18: gt(s(_1),_2) ->= gt❆1_s(_1,_2) Number of strict rules: 16 Direct poly ... failed. Dependency Pairs: #1: #minus(s(x),s(y)) -> #minus(x,y) #2: #plus(s(x),s(y)) -> #plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y))) #3: #plus(s(x),s(y)) -> #if(gt(x,y),x,y) #4: #plus(s(x),s(y)) -> #gt(x,y) #5: #plus(s(x),s(y)) -> #if(not(gt(x,y)),id(x),id(y)) #6: #plus(s(x),s(y)) -> #not(gt(x,y)) #7: #plus(s(x),s(y)) -> #gt(x,y) #8: #plus(s(x),s(y)) -> #id(x) #9: #plus(s(x),s(y)) -> #id(y) #10: #not(x) -> #if(x,false(),true()) #11: #plus(id(x),s(y)) -> #plus(x,if(gt❆1_s(y,y),y,s(y))) #12: #plus(id(x),s(y)) -> #if(gt❆1_s(y,y),y,s(y)) #13: #plus(id(x),s(y)) -> #gt❆1_s(y,y) #14: #plus(s(x),x) -> #plus(if(gt(x,x),id(x),id(x)),s(x)) #15: #plus(s(x),x) -> #if(gt(x,x),id(x),id(x)) #16: #plus(s(x),x) -> #gt(x,x) #17: #plus(s(x),x) -> #id(x) #18: #plus(s(x),x) -> #id(x) #19: #minus(minus(x,y),z) -> #minus(x,plus(y,z)) #20: #minus(minus(x,y),z) -> #plus(y,z) #21: #gt(zero(),_1) ->? #gt❆1_zero(_1) #22: #gt❆1_s(x,s(y)) -> #gt(x,y) #23: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y)) #24: #quot(s(x),s(y)) -> #minus(x,y) #25: #gt(s(_1),_2) ->? #gt❆1_s(_1,_2) Number of SCCs: 4, DPs: 8 SCC { #23 } Sum... succeeded. zero() w: (1) s(x1) w: (32287 + x1) gt(x1,x2) w: (21838 + x2 + x1) minus(x1,x2) w: (32286 + x1) #plus(x1,x2) w: (0) false() w: (15986) #id(x1) w: (0) true() w: (1) gt❆1_zero(x1) w: (15986) #not(x1) w: (0) #gt❆1_zero(x1) w: (0) 0() w: (1) if(x1,x2,x3) w: (28100 + x3 + x2 + x1) quot(x1,x2) w: (0) #gt(x1,x2) w: (0) #gt❆1_s(x1,x2) w: (0) #minus(x1,x2) w: (0) plus(x1,x2) w: (1 + x2 + x1) #if(x1,x2,x3) w: (0) id(x1) w: (1143) #quot(x1,x2) w: (x1) gt❆1_s(x1,x2) w: (30613 + x2 + x1) not(x1) w: (x1) USABLE RULES: { 1 2 5 11 12 14..18 }
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Standard