wneuper@4885
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package isac.gui.mawen.scalaterm
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wneuper@4885
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wneuper@4885
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import edu.tum.cs.isabelle.pure._
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wneuper@4885
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wneuper@4885
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object TestsDATA {
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wneuper@4885
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wneuper@4885
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//---------------------------- for <code>MockCalcTreeSIMPLIFY</code>
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wneuper@4885
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/* copied from ScalaTermFromString.testExampleForRef1
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wneuper@4885
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1 App(Const(Simplify.Simplify,Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(1,Type(Real.real,List()))),App(App(Const(Fields.inverse_class.divide,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(2,Type(Real.real,List()))),Free(x,Type(Real.real,List())))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(y,Type(Real.real,List()))),Free(3,Type(Real.real,List()))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(4,Type(Real.real,List()))),Free(z,Type(Real.real,List())))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(y,Type(Real.real,List()))),Free(3,Type(Real.real,List()))))))),Free(5,Type(Real.real,List()))))
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wneuper@4885
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2 App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(1,Type(Real.real,List()))),App(App(Const(Fields.inverse_class.divide,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(2,Type(Real.real,List()))),Free(x,Type(Real.real,List())))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(y,Type(Real.real,List()))),Free(3,Type(Real.real,List()))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(4,Type(Real.real,List()))),Free(z,Type(Real.real,List())))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(y,Type(Real.real,List()))),Free(3,Type(Real.real,List()))))))),Free(5,Type(Real.real,List())))
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3 App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(1,Type(Real.real,List()))),App(App(Const(Fields.inverse_class.divide,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(2,Type(Real.real,List()))),Free(x,Type(Real.real,List())))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(4,Type(Real.real,List()))),Free(z,Type(Real.real,List())))))),Free(5,Type(Real.real,List())))
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4 App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(1,Type(Real.real,List()))),App(App(Const(Fields.inverse_class.divide,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(x,Type(Real.real,List()))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(2,Type(Real.real,List()))),Free(z,Type(Real.real,List())))))),Free(5,Type(Real.real,List())))
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5 App(App(Const(Groups.plus_class.plus,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(6,Type(Real.real,List()))),App(App(Const(Fields.inverse_class.divide,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(x,Type(Real.real,List()))),App(App(Const(Groups.times_class.times,Type(fun,List(Type(Real.real,List()), Type(fun,List(Type(Real.real,List()), Type(Real.real,List())))))),Free(2,Type(Real.real,List()))),Free(z,Type(Real.real,List())))))
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wneuper@4885
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*/
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wneuper@4885
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// below <REPLACE ALL> fun WITH "fun", etc (in a separate file in order to preserve the above copies)
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// "Simplify ((1 + (2 * x * (y + 3)) / (4 * z * (y + 3))) + 5::real)";
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def tt1 (): Term = App(Const("Simplify.Simplify",Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List()))))
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// "(1 + (2 * x * (y + 3)) / (4 * z * (y + 3))) + 5::real";
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def tt3 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List())))
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// "(1 + (2 * x) / (4 * z)) + 5::real";
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def tt4 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))))),Free("5",Type("Real.real",List())))
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// "6 + (2 * x) / (4 * z::real)";
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def tt5 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("x",Type("Real.real",List()))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("z",Type("Real.real",List())))))),Free("5",Type("Real.real",List())))
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def tt6 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("6",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("x",Type("Real.real",List()))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("z",Type("Real.real",List())))))
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S1420454023@4922
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def tt3_math(): String =
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"<math xmlns="+"\"&mathml;\""+">"+
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"<mrow>"+
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"<mn>1</mn>"+
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"<mo> + </mo>"+
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"<mfrac>"+
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"<mrow>"+
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"<mn>2</mn><mo> * </mo><mi>x</mi>"+
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"<mo> * </mo>"+
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"<mfenced separators=\'\'>"+
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"<mi>y</mi><mo> + </mo><mn>3</mn>"+
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"</mfenced>"+
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"</mrow>"+
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"<mrow>"+
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"<mn>4</mn><mo> * </mo><mi>z</mi>"+
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"<mo> * </mo>"+
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"<mfenced separators=\'\'>"+
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"<mi>y</mi><mo> + </mo><mn>3</mn>"+
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"</mfenced>"+
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"</mrow>"+
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"</mfrac>"+
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"<mo> + </mo>"+
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"<mn>5</mn>"+
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"</mrow>" +
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"</math>";
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wneuper@4962
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//scenario 1: http://www.ist.tugraz.at/projects/isac/publ/Masterthesis_NatalieKarl.pdf p.47
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def tt_me1_1 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Atools.pow",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Nat.nat",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("2",Type("Nat.nat",List())))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("6",Type("Real.real",List()))),Free("y",Type("Real.real",List()))))),Free("9",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List())))
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S1420454023@4952
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def tt_me1_2 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Atools.pow",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Nat.nat",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List())))),Free("2",Type("Nat.nat",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List())))
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S1420454023@4952
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55 |
def tt_me1_3 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("6",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("x",Type("Real.real",List()))),Free("1",Type("Real.real",List()))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))
|
wneuper@4962
|
56 |
//scenario 4: http://www.ist.tugraz.at/projects/isac/publ/Masterthesis_NatalieKarl.pdf p.50
|
S1420454023@4952
|
57 |
def tt_me4_1 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("6",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("3",Type("Real.real",List()))),Free("b",Type("Real.real",List()))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("c",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List()))))))
|
S1420454023@4952
|
58 |
def tt_me4_2 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("6",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Atools.pow",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Nat.nat",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List())))),Free("2",Type("Nat.nat",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("3",Type("Real.real",List()))),Free("b",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("c",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List()))))))
|
S1420454023@4952
|
59 |
def tt_me4_3 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("5",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("a",Type("Real.real",List()))))),App(App(Const("Atools.pow",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Nat.nat",List()), Type("Real.real",List())))))),Free("a",Type("Real.real",List()))),Free("2",Type("Nat.nat",List()))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("3",Type("Real.real",List()))),Free("b",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("c",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("a",Type("Real.real",List()))))))),Free("1",Type("Real.real",List())))
|
wneuper@4962
|
60 |
//scenario 5: http://www.ist.tugraz.at/projects/isac/publ/Masterthesis_NatalieKarl.pdf p.51
|
S1420454023@4952
|
61 |
def tt_me5_1 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Atools.pow",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Nat.nat",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("2",Type("Nat.nat",List())))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("6",Type("Real.real",List()))),Free("y",Type("Real.real",List()))))),Free("9",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List())))
|
S1420454023@4952
|
62 |
def tt_me5_2 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Atools.pow",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Nat.nat",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List())))),Free("2",Type("Nat.nat",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List())))
|
S1420454023@4952
|
63 |
def tt_me5_3 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List())))
|
S1420454023@4952
|
64 |
def tt_me5_4 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),Free("1",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("y",Type("Real.real",List()))),Free("3",Type("Real.real",List()))))))),Free("5",Type("Real.real",List())))
|
S1420454023@4952
|
65 |
def tt_me5_5 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("1",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),Free("1",Type("Real.real",List())))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))))),Free("5",Type("Real.real",List())))
|
S1420454023@4952
|
66 |
def tt_me5_6 (): Term = App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("6",Type("Real.real",List()))),App(App(Const("Fields.inverse_class.divide",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.plus_class.plus",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("2",Type("Real.real",List()))),Free("x",Type("Real.real",List())))),Free("1",Type("Real.real",List())))),App(App(Const("Groups.times_class.times",Type("fun",List(Type("Real.real",List()), Type("fun",List(Type("Real.real",List()), Type("Real.real",List())))))),Free("4",Type("Real.real",List()))),Free("z",Type("Real.real",List())))))
|
S1420454023@4952
|
67 |
|
wneuper@4885
|
68 |
} |