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TRS Standard pair #516964108
details
property
value
status
complete
benchmark
21.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n136.star.cs.uiowa.edu
space
Der95
run statistics
property
value
solver
NaTT 2.1
configuration
default
runtime (wallclock)
0.11737203598 seconds
cpu usage
0.054084086
max memory
1.2210176E7
stage attributes
key
value
output-size
2443
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: p(s(x)) -> x 2: fact(0()) -> s(0()) 3: fact(s(x)) -> *(s(x),fact(p(s(x)))) 4: *(0(),y) -> 0() 5: *(s(x),y) -> +(*(x,y),y) 6: +(x,0()) -> x 7: +(x,s(y)) -> s(+(x,y)) Number of strict rules: 7 Direct poly ... failed. Freezing * p 1: p❆1_s(x) -> x 2: fact(0()) -> s(0()) 3: fact(s(x)) -> *❆1_s(x,fact(p❆1_s(x))) 4: *❆1_0(y) -> 0() 5: *❆1_s(x,y) -> +(*(x,y),y) 6: +(x,0()) -> x 7: +(x,s(y)) -> s(+(x,y)) 8: p(s(_1)) ->= p❆1_s(_1) 9: *(0(),_1) ->= *❆1_0(_1) 10: *(s(_1),_2) ->= *❆1_s(_1,_2) Number of strict rules: 7 Direct poly ... failed. Dependency Pairs: #1: #*(0(),_1) ->? #*❆1_0(_1) #2: #+(x,s(y)) -> #+(x,y) #3: #*(s(_1),_2) ->? #*❆1_s(_1,_2) #4: #*❆1_s(x,y) -> #+(*(x,y),y) #5: #*❆1_s(x,y) -> #*(x,y) #6: #fact(s(x)) -> #*❆1_s(x,fact(p❆1_s(x))) #7: #fact(s(x)) -> #fact(p❆1_s(x)) #8: #fact(s(x)) -> #p❆1_s(x) #9: #p(s(_1)) ->? #p❆1_s(_1) Number of SCCs: 3, DPs: 4 SCC { #7 } Sum... succeeded. *❆1_0(x1) w: (0) s(x1) w: (1 + x1) p❆1_s(x1) w: (x1) #*(x1,x2) w: (0) #fact(x1) w: (x1) #p(x1) w: (0) #*❆1_s(x1,x2) w: (0) #p❆1_s(x1) w: (0) p(x1) w: (0) 0() w: (0) fact(x1) w: (0) #*❆1_0(x1) w: (0) +(x1,x2) w: (0) *❆1_s(x1,x2) w: (0) #+(x1,x2) w: (0) *(x1,x2) w: (0) USABLE RULES: { 1 } Removed DPs: #7 Number of SCCs: 2, DPs: 3 SCC { #2 } Sum... succeeded. *❆1_0(x1) w: (0) s(x1) w: (1 + x1) p❆1_s(x1) w: (x1) #*(x1,x2) w: (0) #fact(x1) w: (x1) #p(x1) w: (0) #*❆1_s(x1,x2) w: (0) #p❆1_s(x1) w: (0) p(x1) w: (0) 0() w: (0) fact(x1) w: (0) #*❆1_0(x1) w: (0) +(x1,x2) w: (0) *❆1_s(x1,x2) w: (0) #+(x1,x2) w: (x2) *(x1,x2) w: (0) USABLE RULES: { 1 } Removed DPs: #2 Number of SCCs: 1, DPs: 2 SCC { #3 #5 } Sum... succeeded. *❆1_0(x1) w: (0) s(x1) w: (2 + x1) p❆1_s(x1) w: (x1) #*(x1,x2) w: (x1) #fact(x1) w: (x1) #p(x1) w: (0) #*❆1_s(x1,x2) w: (1 + x1) #p❆1_s(x1) w: (0) p(x1) w: (0) 0() w: (0) fact(x1) w: (0) #*❆1_0(x1) w: (0) +(x1,x2) w: (0) *❆1_s(x1,x2) w: (0) #+(x1,x2) w: (0)
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