; COMMAND-LINE: --nl-ext
; EXPECT: sat
(set-logic QF_NRA)
(set-info :source |
These benchmarks used in the paper:

  Dejan Jovanovic and Leonardo de Moura.  Solving Non-Linear Arithmetic.
  In IJCAR 2012, published as LNCS volume 7364, pp. 339--354.

The meti-tarski benchmarks are proof obligations extracted from the
Meti-Tarski project, see:

  B. Akbarpour and L. C. Paulson. MetiTarski: An automatic theorem prover
  for real-valued special functions. Journal of Automated Reasoning,
  44(3):175-205, 2010.

Submitted by Dejan Jovanovic for SMT-LIB.


|)
(set-info :smt-lib-version 2.0)
(set-info :category "industrial")
(set-info :status sat)
(declare-fun skoCOSS () Real)
(declare-fun skoSINS () Real)
(declare-fun skoS () Real)
(declare-fun pi () Real)
(assert (and (= (* skoSINS skoSINS) (+ 1 (* skoCOSS (* skoCOSS (- 1))))) (and (not (<= (* pi (/ 1 2)) skoS)) (and (not (<= pi (/ 15707963 5000000))) (and (not (<= (/ 31415927 10000000) pi)) (and (<= 0 skoS) (and (<= 0 skoCOSS) (<= skoSINS skoS))))))))
(check-sat)
(exit)