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TRS Equational pair #487523303
details
property
value
status
complete
benchmark
PEANO-NAT_nosorts.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n022.star.cs.uiowa.edu
space
Mixed_C
run statistics
property
value
solver
NaTT v.1.6c
configuration
Default
runtime (wallclock)
0.295284032822 seconds
cpu usage
0.311517741
max memory
2.5378816E7
stage attributes
key
value
output-size
8411
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: C symbols: d _+_ _*_ gcd 1: 1() -> s_(0()) 2: 2() -> s_(s_(0())) 3: 3() -> s_(s_(s_(0()))) 4: 4() -> s_(s_(s_(s_(0())))) 5: 5() -> s_(s_(s_(s_(s_(0()))))) 6: 6() -> s_(s_(s_(s_(s_(s_(0())))))) 7: 7() -> s_(s_(s_(s_(s_(s_(s_(0()))))))) 8: U11(tt(),M',N') -> U12(equal(_>_(N',M'),true()),M',N') 9: U12(tt(),M',N') -> gcd(d(N',M'),M') 10: U21(tt(),M',N) -> U22(equal(_>_(M',N),true())) 11: U22(tt()) -> 0() 12: U31(tt(),M',N) -> U32(equal(_>_(N,M'),true()),M',N) 13: U32(tt(),M',N) -> s_(quot(d(N,M'),M')) 14: _*_(N,0()) -> 0() 15: _*_(s_(N),s_(M)) -> s_(_+_(N,_+_(M,_*_(N,M)))) 16: _+_(N,0()) -> N 17: _+_(s_(N),s_(M)) -> s_(s_(_+_(N,M))) 18: _<_(N,M) -> _>_(M,N) 19: _>_(0(),M) -> false() 20: _>_(N',0()) -> true() 21: _>_(s_(N),s_(M)) -> _>_(N,M) 22: and(tt(),X) -> X 23: d(0(),N) -> N 24: d(s_(N),s_(M)) -> d(N,M) 25: equal(X,X) -> tt() 26: gcd(0(),N) -> 0() 27: gcd(N',M') -> U11(tt(),M',N') 28: gcd(N',N') -> N' 29: p_(s_(N)) -> N 30: quot(M',M') -> s_(0()) 31: quot(N,M') -> U21(tt(),M',N) 32: quot(N,M') -> U31(tt(),M',N) Number of strict rules: 32 Direct POLO(bPol) ... failed. Uncurrying U11 U21 U31 C symbols: d _+_ _*_ gcd 1: 1() -> s_(0()) 2: 2() -> s_(s_(0())) 3: 3() -> s_(s_(s_(0()))) 4: 4() -> s_(s_(s_(s_(0())))) 5: 5() -> s_(s_(s_(s_(s_(0()))))) 6: 6() -> s_(s_(s_(s_(s_(s_(0())))))) 7: 7() -> s_(s_(s_(s_(s_(s_(s_(0()))))))) 8: U11^1_tt(M',N') -> U12(equal(_>_(N',M'),true()),M',N') 9: U12(tt(),M',N') -> gcd(d(N',M'),M') 10: U21^1_tt(M',N) -> U22(equal(_>_(M',N),true())) 11: U22(tt()) -> 0() 12: U31^1_tt(M',N) -> U32(equal(_>_(N,M'),true()),M',N) 13: U32(tt(),M',N) -> s_(quot(d(N,M'),M')) 14: _*_(N,0()) -> 0() 15: _*_(s_(N),s_(M)) -> s_(_+_(N,_+_(M,_*_(N,M)))) 16: _+_(N,0()) -> N 17: _+_(s_(N),s_(M)) -> s_(s_(_+_(N,M))) 18: _<_(N,M) -> _>_(M,N) 19: _>_(0(),M) -> false() 20: _>_(N',0()) -> true() 21: _>_(s_(N),s_(M)) -> _>_(N,M) 22: and(tt(),X) -> X 23: d(0(),N) -> N 24: d(s_(N),s_(M)) -> d(N,M) 25: equal(X,X) -> tt() 26: gcd(0(),N) -> 0() 27: gcd(N',M') -> U11^1_tt(M',N') 28: gcd(N',N') -> N' 29: p_(s_(N)) -> N 30: quot(M',M') -> s_(0()) 31: quot(N,M') -> U21^1_tt(M',N) 32: quot(N,M') -> U31^1_tt(M',N) 33: U31(tt(),_2,_3) ->= U31^1_tt(_2,_3) 34: U21(tt(),_2,_3) ->= U21^1_tt(_2,_3) 35: U11(tt(),_2,_3) ->= U11^1_tt(_2,_3) Number of strict rules: 32 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #U11(tt(),_2,_3) ->? #U11^1_tt(_2,_3) #2: #U32(tt(),M',N) -> #quot(d(N,M'),M') #3: #U32(tt(),M',N) -> #d(N,M') #4: #U12(tt(),M',N') -> #gcd(d(N',M'),M') #5: #U12(tt(),M',N') -> #d(N',M') #6: #d(s_(N),s_(M)) -> #d(N,M) #7: #U31^1_tt(M',N) -> #U32(equal(_>_(N,M'),true()),M',N) #8: #U31^1_tt(M',N) -> #equal(_>_(N,M'),true()) #9: #U31^1_tt(M',N) -> #_>_(N,M') #10: #quot(N,M') -> #U21^1_tt(M',N) #11: #U21^1_tt(M',N) -> #U22(equal(_>_(M',N),true())) #12: #U21^1_tt(M',N) -> #equal(_>_(M',N),true()) #13: #U21^1_tt(M',N) -> #_>_(M',N) #14: #U31(tt(),_2,_3) ->? #U31^1_tt(_2,_3) #15: #U21(tt(),_2,_3) ->? #U21^1_tt(_2,_3) #16: #gcd(N',M') -> #U11^1_tt(M',N') #17: #_+_(s_(N),s_(M)) -> #_+_(N,M)
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