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TRS Standard pair #516963703
details
property
value
status
complete
benchmark
gcd.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n060.star.cs.uiowa.edu
space
AProVE_09_Inductive
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
2.27269077301 seconds
cpu usage
2.211600149
max memory
3.7371904E7
stage attributes
key
value
output-size
3905
starexec-result
MAYBE
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: minus(s(x),y) -> if(gt(s(x),y),x,y) 2: if(true(),x,y) -> s(minus(x,y)) 3: if(false(),x,y) -> 0() 4: gcd(x,y) -> if1(ge(x,y),x,y) 5: if1(true(),x,y) -> if2(gt(y,0()),x,y) 6: if1(false(),x,y) -> gcd(y,x) 7: if2(true(),x,y) -> gcd(minus(x,y),y) 8: if2(false(),x,y) -> x 9: gt(0(),y) -> false() 10: gt(s(x),0()) -> true() 11: gt(s(x),s(y)) -> gt(x,y) 12: ge(x,0()) -> true() 13: ge(0(),s(x)) -> false() 14: ge(s(x),s(y)) -> ge(x,y) Number of strict rules: 14 Direct poly ... failed. Freezing gt 1: minus(s(x),y) -> if(gt❆1_s(x,y),x,y) 2: if(true(),x,y) -> s(minus(x,y)) 3: if(false(),x,y) -> 0() 4: gcd(x,y) -> if1(ge(x,y),x,y) 5: if1(true(),x,y) -> if2(gt(y,0()),x,y) 6: if1(false(),x,y) -> gcd(y,x) 7: if2(true(),x,y) -> gcd(minus(x,y),y) 8: if2(false(),x,y) -> x 9: gt❆1_0(y) -> false() 10: gt❆1_s(x,0()) -> true() 11: gt❆1_s(x,s(y)) -> gt(x,y) 12: ge(x,0()) -> true() 13: ge(0(),s(x)) -> false() 14: ge(s(x),s(y)) -> ge(x,y) 15: gt(0(),_1) ->= gt❆1_0(_1) 16: gt(s(_1),_2) ->= gt❆1_s(_1,_2) Number of strict rules: 14 Direct poly ... failed. Dependency Pairs: #1: #if(true(),x,y) -> #minus(x,y) #2: #if1(false(),x,y) -> #gcd(y,x) #3: #gt❆1_s(x,s(y)) -> #gt(x,y) #4: #ge(s(x),s(y)) -> #ge(x,y) #5: #if2(true(),x,y) -> #gcd(minus(x,y),y) #6: #if2(true(),x,y) -> #minus(x,y) #7: #if1(true(),x,y) -> #if2(gt(y,0()),x,y) #8: #if1(true(),x,y) -> #gt(y,0()) #9: #gt(s(_1),_2) ->? #gt❆1_s(_1,_2) #10: #minus(s(x),y) -> #if(gt❆1_s(x,y),x,y) #11: #minus(s(x),y) -> #gt❆1_s(x,y) #12: #gt(0(),_1) ->? #gt❆1_0(_1) #13: #gcd(x,y) -> #if1(ge(x,y),x,y) #14: #gcd(x,y) -> #ge(x,y) Number of SCCs: 4, DPs: 9 SCC { #4 } Sum... succeeded. s(x1) w: (1 + x1) gt❆1_0(x1) w: (0) gt(x1,x2) w: (0) minus(x1,x2) w: (0) gcd(x1,x2) w: (0) if1(x1,x2,x3) w: (0) false() w: (0) #ge(x1,x2) w: (x2 + x1) true() w: (0) #if1(x1,x2,x3) w: (0) if2(x1,x2,x3) w: (0) if(x1,x2,x3) w: (0) 0() w: (0) ge(x1,x2) w: (0) #gt❆1_0(x1) w: (0) #gt(x1,x2) w: (0) #gt❆1_s(x1,x2) w: (0) #minus(x1,x2) w: (0) #if(x1,x2,x3) w: (0) gt❆1_s(x1,x2) w: (0) #if2(x1,x2,x3) w: (0) #gcd(x1,x2) w: (0) USABLE RULES: { } Removed DPs: #4 Number of SCCs: 3, DPs: 8 SCC { #3 #9 } Sum... succeeded. s(x1) w: (2 + x1) gt❆1_0(x1) w: (0) gt(x1,x2) w: (0) minus(x1,x2) w: (0) gcd(x1,x2) w: (0) if1(x1,x2,x3) w: (0) false() w: (0) #ge(x1,x2) w: (0) true() w: (0) #if1(x1,x2,x3) w: (0) if2(x1,x2,x3) w: (0) if(x1,x2,x3) w: (0)
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