<monet:definitions xmlns:monet="http://monet.nag.co.uk/monet/ns"
                   xmlns:om="http://www.openmath.org/OpenMath"
                   targetNamespace="http://monet.nag.co.uk/problems/" >

 <monet:problem name ="zero_of_nonlinear_system">
  <monet:header>
    <monet:taxonomy taxonomy="http://gams.nist.gov" code="GamsF2" />
  </monet:header>

  <monet:body>
    <monet:input name="system">
      <monet:signature>
        <om:OMOBJ>
          <om:OMA>
            <om:OMS cd="sts2" name="list"/>
            <om:OMA>
              <om:OMS cd="sts"  name="mapsto" />
              <om:OMA>
                <om:OMS cd="hypergeon0"  name="cartesian_product_n" />
                <om:OMV name="R"/>
                <om:OMV name="n"/>
              </om:OMA>
              <om:OMV name="R"/>
            </om:OMA>
          </om:OMA>
        </om:OMOBJ>
      </monet:signature>
    </monet:input>

    <monet:output name="zero">
      <monet:signature>
        <om:OMOBJ>
          <om:OMA>
            <om:OMS cd="hypergeon0"  name="cartesian_product_n" />
            <om:OMV name="R"/>
            <om:OMV name="n"/>
          </om:OMA>
        </om:OMOBJ>
      </monet:signature>
    </monet:output>

    <monet:pre-condition>
      <om:OMOBJ>
        <om:OMBIND>
          <om:OMS cd="quant1" name="exists"/>
          <om:OMBVAR>
            <om:OMV name="f"/>
          </om:OMBVAR>
          <om:OMA>
            <om:OMS name="implies" cd="logic1"/>
            <om:OMA>
              <om:OMS name="in" cd="list2"/>
              <om:OMV name="f"/>
              <om:OMV name="system"/>
            </om:OMA>
            <om:OMA>
              <om:OMS cd="equations1" name="non_linear"/>
              <om:OMV name="f"/>
            </om:OMA>
          </om:OMA>
        </om:OMBIND>
      </om:OMOBJ>
    </monet:pre-condition>

    <monet:post-condition>
      <om:OMOBJ>
        <om:OMBIND>
          <om:OMS cd="quant1" name="forall"/>
          <om:OMBVAR>
            <om:OMV name="f"/>
          </om:OMBVAR>
          <om:OMA>
            <om:OMS name="implies" cd="logic1"/>
            <om:OMA>
              <om:OMS name="in" cd="list2"/>
              <om:OMV name="f"/>
              <om:OMV name="system"/>
            </om:OMA>
            <om:OMA>
              <om:OMS cd="relation1" name="eq"/>
              <om:OMA>
                <om:OMV name="f"/>
                <om:OMV name="zero"/>
              </om:OMA>
              <om:OMS cd="alg1" name="zero"/>
            </om:OMA>
          </om:OMA>
        </om:OMBIND>
      </om:OMOBJ>
    </monet:post-condition>

  </monet:body>

 </monet:problem>
</monet:definitions>