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TRS Stand 20472 pair #381712492
details
property
value
status
complete
benchmark
polo2.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n005.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
0.907176971436 seconds
cpu usage
2.124523775
max memory
3.13032704E8
stage attributes
key
value
output-size
3156
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: dx(X) -> one() dx(a()) -> zero() dx(plus(ALPHA,BETA)) -> plus(dx(ALPHA),dx(BETA)) dx(times(ALPHA,BETA)) -> plus(times(BETA,dx(ALPHA)),times(ALPHA,dx(BETA))) dx(minus(ALPHA,BETA)) -> minus(dx(ALPHA),dx(BETA)) dx(neg(ALPHA)) -> neg(dx(ALPHA)) dx(div(ALPHA,BETA)) -> minus(div(dx(ALPHA),BETA),times(ALPHA,div(dx(BETA),exp(BETA,two())))) dx(ln(ALPHA)) -> div(dx(ALPHA),ALPHA) dx(exp(ALPHA,BETA)) -> plus(times(BETA,times(exp(ALPHA,minus(BETA,one())),dx(ALPHA))),times (exp(ALPHA,BETA), times (ln(ALPHA),dx(BETA)))) Proof: DP Processor: DPs: dx#(plus(ALPHA,BETA)) -> dx#(BETA) dx#(plus(ALPHA,BETA)) -> dx#(ALPHA) dx#(times(ALPHA,BETA)) -> dx#(BETA) dx#(times(ALPHA,BETA)) -> dx#(ALPHA) dx#(minus(ALPHA,BETA)) -> dx#(BETA) dx#(minus(ALPHA,BETA)) -> dx#(ALPHA) dx#(neg(ALPHA)) -> dx#(ALPHA) dx#(div(ALPHA,BETA)) -> dx#(BETA) dx#(div(ALPHA,BETA)) -> dx#(ALPHA) dx#(ln(ALPHA)) -> dx#(ALPHA) dx#(exp(ALPHA,BETA)) -> dx#(BETA) dx#(exp(ALPHA,BETA)) -> dx#(ALPHA) TRS: dx(X) -> one() dx(a()) -> zero() dx(plus(ALPHA,BETA)) -> plus(dx(ALPHA),dx(BETA)) dx(times(ALPHA,BETA)) -> plus(times(BETA,dx(ALPHA)),times(ALPHA,dx(BETA))) dx(minus(ALPHA,BETA)) -> minus(dx(ALPHA),dx(BETA)) dx(neg(ALPHA)) -> neg(dx(ALPHA)) dx(div(ALPHA,BETA)) -> minus(div(dx(ALPHA),BETA),times(ALPHA,div(dx(BETA),exp(BETA,two())))) dx(ln(ALPHA)) -> div(dx(ALPHA),ALPHA) dx(exp(ALPHA,BETA)) -> plus(times(BETA,times(exp(ALPHA,minus(BETA,one())),dx(ALPHA))),times (exp(ALPHA,BETA), times (ln(ALPHA),dx(BETA)))) Subterm Criterion Processor: simple projection: pi(dx#) = 0 problem: DPs: TRS: dx(X) -> one() dx(a()) -> zero() dx(plus(ALPHA,BETA)) -> plus(dx(ALPHA),dx(BETA)) dx(times(ALPHA,BETA)) -> plus(times(BETA,dx(ALPHA)),times(ALPHA,dx(BETA))) dx(minus(ALPHA,BETA)) -> minus(dx(ALPHA),dx(BETA)) dx(neg(ALPHA)) -> neg(dx(ALPHA)) dx(div(ALPHA,BETA)) -> minus(div(dx(ALPHA),BETA),times(ALPHA,div(dx(BETA),exp(BETA,two())))) dx(ln(ALPHA)) -> div(dx(ALPHA),ALPHA) dx(exp(ALPHA,BETA)) -> plus(times(BETA,times(exp(ALPHA,minus(BETA,one())),dx(ALPHA))),times ( exp(ALPHA,BETA), times (ln(ALPHA),dx(BETA)))) Qed
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