From a2a8837e890549b1ac2355eb3419cfb85ef659a6 Mon Sep 17 00:00:00 2001
From: MaZiFAU <63099053+MaZiFAU@users.noreply.github.com>
Date: Mon, 18 Sep 2023 18:53:48 +0200
Subject: [PATCH] FunctionFact; DynamicTupleFact; PushoutFacts;
 SOMDocToLambdaExpression; ReGeneratred DemoFiles;

FunctionFact;
+ caching LamdaExpression

DynamicTupleFact;
+ parse only, iff it snot a generic tuple

PushoutFacts;
+ support for duplicate Facts

SOMDocToLambdaExpression;
+ Bugfix: ?InvertRealLit was wrongly assigned to Negate
+ employ cashing of lambdaexpression for FuncFacts (x4,5 faster)
---
 .../FactHandling/Facts/FunctionFact.cs        |   33 +-
 .../FactHandling/Facts/MMTTypes.cs            |   32 +-
 .../TBD/CanonBallCalculator2D.cs              |   92 -
 .../Scripts/InventoryStuff/ScrollDetails.cs   |   75 +-
 .../CommunicationProtocoll/Endpoints.cs       |   31 +-
 .../SOMDocToLambdaExpression.cs               |   70 +-
 .../Extensions/IEnumerableExtensions.cs       |   13 +
 Assets/Stages/CanonBall 2D.JSON               | 1684 +++-------------
 Assets/Stages/CanonBall 3D.JSON               | 1769 +++++------------
 Assets/Stages/TechDemo A.JSON                 |   95 +-
 Assets/Stages/TechDemo B.JSON                 |   97 +-
 11 files changed, 1014 insertions(+), 2977 deletions(-)

diff --git a/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs b/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs
index 8f29cd1f..f4415907 100644
--- a/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs
+++ b/Assets/Scripts/InteractionEngine/FactHandling/Facts/FunctionFact.cs
@@ -4,6 +4,7 @@
 using Newtonsoft.Json;
 using System.Linq;
 using REST_JSON_API;
+using System.Linq.Expressions;
 
 public class FunctionCallFact : FactWrappedCRTP<FunctionCallFact>
 {
@@ -15,7 +16,7 @@ public class FunctionCallFact : FactWrappedCRTP<FunctionCallFact>
 
 
     [JsonIgnore]
-    public FunctionFact Function_in
+    public FunctionFact Function
         => (FunctionFact)FactRecorder.AllFacts[func_id];
 
     [JsonIgnore]
@@ -40,7 +41,7 @@ public object[] Call(float t)
             return null;
 
         object[] path = Function_args.Function(new object[] { t });
-        return Function_in.Function(path);
+        return Function.Function(path);
     }
 
     public override bool HasDependentFacts
@@ -57,15 +58,18 @@ protected override bool EquivalentWrapped(FunctionCallFact f1, FunctionCallFact
         )
             return true;
 
-        int samplenumber = 1000;
-        float stepsizef1 = (f1.Domain.t_n - f1.Domain.t_0) / samplenumber;
-        float stepsizef2 = (f2.Domain.t_n - f2.Domain.t_0) / samplenumber;
+        if (f1.Function.Signature[^1] != f2.Function.Signature[^1])
+            return false;
+
+        int samplenumber = 3;
+        float stepsizef1 = (f1.Domain.t_n - f1.Domain.t_0) / (samplenumber - 1);
+        float stepsizef2 = (f2.Domain.t_n - f2.Domain.t_0) / (samplenumber - 1);
         for ((int i, float f1step, float f2step) = (0, f1.Domain.t_0, f2.Domain.t_0);
             i < samplenumber;
             i++, f1step += stepsizef1, f2step += stepsizef2)
         {
             object[] c1 = f1.Call(f1step);
-            object[] c2 = f2.Call(f1step);
+            object[] c2 = f2.Call(f2step);
             if (c1 == null || c2 == null
             || !c1.SequenceEqual(c2, new ApproximationComparer()))
                 return false;
@@ -76,7 +80,7 @@ protected override bool EquivalentWrapped(FunctionCallFact f1, FunctionCallFact
     public override MMTFact MakeMMTDeclaration()
     {
         MMTGeneralFact mmt_arg = (MMTGeneralFact)Function_args.MakeMMTDeclaration();
-        MMTGeneralFact mmt_in = (MMTGeneralFact)Function_in.MakeMMTDeclaration();
+        MMTGeneralFact mmt_in = (MMTGeneralFact)Function.MakeMMTDeclaration();
 
         SOMDoc type = new OMA(
             new OMS(MMTConstants.Product),
@@ -101,7 +105,7 @@ public override MMTFact MakeMMTDeclaration()
                         new OMLIT<float>(Domain.t_n)
                 }),
                 Function_args.ServerDefinition,
-                Function_in.ServerDefinition,
+                Function.ServerDefinition,
         });
 
         return new MMTGeneralFact(Label, type, defines);
@@ -109,9 +113,9 @@ public override MMTFact MakeMMTDeclaration()
 
     protected override void RecalculateTransform()
     {
-        Position = Function_in.Position;
-        Rotation = Function_in.Rotation;
-        LocalScale = Function_in.LocalScale;
+        Position = Function.Position;
+        Rotation = Function.Rotation;
+        LocalScale = Function.LocalScale;
     }
 
     protected override Fact _ReInitializeMe(Dictionary<string, string> old_to_new, FactRecorder organizer)
@@ -128,6 +132,9 @@ public class FunctionFact : FactWrappedCRTP<FunctionFact>
     [JsonIgnore]
     public Func<object[], object[]> Function;
 
+    [JsonIgnore]
+    public Expression LambdaExpression;
+
     /// <summary> \copydoc Fact.Fact </summary>
     public FunctionFact() : base() { }
 
@@ -140,7 +147,7 @@ public FunctionFact() : base() { }
     public FunctionFact(SOMDoc Function_SOMDoc, FactRecorder organizer) : base(organizer)
     {
         this.Function_SOMDoc = Function_SOMDoc;
-        this.Function = this.Function_SOMDoc.PartialInvokeCastingLambdaExpression(out Signature);
+        this.Function = this.Function_SOMDoc.PartialInvokeCastingLambdaExpression(out LambdaExpression, out Signature);
         SendToMMT();
     }
 
@@ -153,7 +160,7 @@ public FunctionFact(SOMDoc Function_SOMDoc, FactRecorder organizer) : base(organ
     public FunctionFact(SOMDoc Function_SOMDoc, SOMDoc _ServerDefinition, FactRecorder organizer) : base(organizer)
     {
         this.Function_SOMDoc = Function_SOMDoc;
-        this.Function = Function_SOMDoc.PartialInvokeCastingLambdaExpression(out Signature);
+        this.Function = Function_SOMDoc.PartialInvokeCastingLambdaExpression(out LambdaExpression, out Signature);
 
         this.ServerDefinition = _ServerDefinition;
         _ = this.Label;
diff --git a/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs b/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs
index fb2e43a4..cbc3ea91 100644
--- a/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs
+++ b/Assets/Scripts/InteractionEngine/FactHandling/Facts/MMTTypes.cs
@@ -185,7 +185,7 @@ public static List<Fact> MMTFactory(List<dynamic> payload, SOMDoc indirect_paylo
         if (payload == null)
         {
             Func<object[], object[]> builder =
-                indirect_payload.PartialInvokeCastingLambdaExpression(out Type[] signature);
+                indirect_payload.PartialInvokeCastingLambdaExpression(out _, out Type[] signature);
 
             if (signature.Length != 1)
                 return new();
@@ -389,7 +389,7 @@ public static List<Fact> MMTFactory(object payload, SOMDoc indirect_payload, SOM
         if (payload == null)
         {
             Func<object[], object[]> builder =
-                indirect_payload.PartialInvokeCastingLambdaExpression(out Type[] signature);
+                indirect_payload.PartialInvokeCastingLambdaExpression(out _, out Type[] signature);
 
             if (signature.Length != 1)
                 return new();
@@ -437,22 +437,24 @@ public static List<Fact> MMTFactory(object payload, SOMDoc indirect_payload, SOM
             }
         }
 
-        //TODO? indirect_payload ??= SOMDoc.FromObject(payload);
-        TupleType ??= SOMDoc.SOMDocType(payload.GetType());
+        return new(); // Don't care about Tuple without semantic meaning
 
-        ret.Add(new DynamicTupleFact(organizer)
-        {
-            payload = payload,
-            indirect_payload = indirect_payload,
-            TupleType = TupleType,
-            count = count,
-            ServerDefinition = _ServerDefinition,
-        });
+        ////TODO? indirect_payload ??= SOMDoc.FromObject(payload);
+        //TupleType ??= SOMDoc.SOMDocType(payload.GetType());
 
-        if (_ServerDefinition == null)
-            (ret[0] as DynamicTupleFact).SendToMMT();
+        //ret.Add(new DynamicTupleFact(organizer)
+        //{
+        //    payload = payload,
+        //    indirect_payload = indirect_payload,
+        //    TupleType = TupleType,
+        //    count = count,
+        //    ServerDefinition = _ServerDefinition,
+        //});
 
-        return ret;
+        //if (_ServerDefinition == null)
+        //    (ret[0] as DynamicTupleFact).SendToMMT();
+
+        //return ret;
     }
 
     public override MMTFact MakeMMTDeclaration()
diff --git a/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator2D.cs b/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator2D.cs
index 81151732..2e9c16ac 100644
--- a/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator2D.cs
+++ b/Assets/Scripts/InteractionEngine/TBD/CanonBallCalculator2D.cs
@@ -38,98 +38,6 @@ public CanonBallProblemCalculator2D(List<LineFact> walls, Vector3 starPos, Vecto
         Compute();
     }
 
-    public static void LambdaCSDemo()
-    {
-        SOMDoc StepUntil;
-        {
-            SOMDoc Vec3TP = new OMA(
-                    new OMS(MMTConstants.Product),
-                    new OMS[]{
-                        new(MMTConstants.RealLit),
-                        new(MMTConstants.RealLit),
-                        new(MMTConstants.RealLit),
-            });
-
-            SOMDoc feed = new FUN(new FUN.Param[]
-                {
-                    new("feed", Vec3TP),
-                },
-                new OMA(
-                    new OMS(MMTConstants.AddRealLit),
-                    new SOMDoc[] {
-                        new OMV("feed"),
-                        SOMDoc.MakeVector3(new Vector3(1,2,3))
-            }));
-
-            SOMDoc pred = new FUN(new FUN.Param[]
-                {
-                    new("current", Vec3TP),
-                },
-                new OMA(
-                    new OMS(MMTConstants.LessThan),
-                    new SOMDoc[] {
-                        new OMA(
-                            new OMS(MMTConstants.PropertyX),
-                            new SOMDoc[]{
-                                new OMV("current")
-                        }),
-                        new OMLIT<float>(10f)
-            }));
-
-            StepUntil = new FUN(new FUN.Param[]
-                {
-                    new("seed", Vec3TP),
-                    //new("lambda", new FUNTYPE(
-                    //    new []{
-                    //        Vec3,
-                    //    },
-                    //    Vec3
-                    //)),
-                    //new("pred", new FUNTYPE(
-                    //   new [] { Vec3 },
-                    //   new OMS(MMTConstants.Bool)
-                    //)),
-                },
-                new OMA(new OMS(MMTConstants.MakeObjectArray), new[] {
-                    new OMA(
-                        new OMS(MMTConstants.ToArray),
-                        new OMA[]{ new(
-                            new OMS(MMTConstants.FeedForwardWhile),
-                            new[] {
-                                Vec3TP, // return value
-                                new OMV("seed"),
-                                feed, //new OMV("lambda"),
-                                pred, //new OMV("pred"),
-                })
-            })}));
-        }
-
-        var StepUntil_results =
-            StepUntil
-            .PartialInvokeCastingLambdaExpression(out Type[] signature_args0)
-            (new object[] { new Vector3(0, 0, 0) });
-        ;
-
-        SOMDoc TupelTest3 = SOMDoc.MakeTupel(new[] { new OMLIT<float>(1), new OMLIT<float>(2), new OMLIT<float>(3) });
-        var TupelTest3_resutl =
-            TupelTest3
-            .PartialInvokeCastingLambdaExpression(out Type[] signature_argsT3)
-            (new object[0]);
-
-        SOMDoc ProjTest0 = new OMA(new OMS(MMTConstants.ProjL), new[] { TupelTest3 });
-        var ProjTest0_resutl =
-            ProjTest0
-            .PartialInvokeCastingLambdaExpression(out Type[] signature_args3)
-            (new object[0]);
-
-        SOMDoc ProjTest1 = new OMA(new OMS(MMTConstants.ProjR), new[] { TupelTest3 });
-        var ProjTest1_resutl =
-            ProjTest1
-            .PartialInvokeCastingLambdaExpression(out Type[] signature_args4)
-            (new object[0]);
-        ;
-    }
-
     private void Compute()
     {
         SOMDoc BuildOMA_XVA()
diff --git a/Assets/Scripts/InventoryStuff/ScrollDetails.cs b/Assets/Scripts/InventoryStuff/ScrollDetails.cs
index 0f068a6a..2f969934 100644
--- a/Assets/Scripts/InventoryStuff/ScrollDetails.cs
+++ b/Assets/Scripts/InventoryStuff/ScrollDetails.cs
@@ -43,7 +43,7 @@ public static ScrollDetails Instance
     private bool DynamicScrollInQue = false;
     private bool MagicInQue = false;
 
-    private readonly IReadOnlyList<string> NoDynamicScroll = new List<string>() { 
+    private readonly IReadOnlyList<string> NoDynamicScroll = new List<string>() {
         MMTConstants.ScrollCannonBall2D,
         MMTConstants.ScrollCannonBall3D,
     };
@@ -238,9 +238,50 @@ IEnumerator _MagicButton()
                 else
                     Popup.HidePopUp(); //close error Window
 
-                GeneratePushoutFacts(pushout.acquiredFacts);
+                yield return __GeneratePushoutFacts(pushout.acquiredFacts);
             }
         }
+
+        IEnumerator __GeneratePushoutFacts(List<MMTFact> pushoutFacts)
+        {
+            List<Fact> new_facts = new();
+            Dictionary<string, string> oldt_to_new = new();
+            System.DateTime parseTime = System.DateTime.UtcNow;
+
+            bool samestep = false;
+            for (int i = 0; i < pushoutFacts.Count; i++)
+            {
+                //yield return null;
+                List<Fact> new_list = ParsingDictionary.parseFactDictionary[pushoutFacts[i].getType()]
+                                        (pushoutFacts[i].MapURIs(oldt_to_new));
+                if (new_list.Count == 0)
+                {
+                    Debug.LogWarning("Parsing on pushout-fact returned empty List -> One of the dependent facts does not exist or parsing failed");
+                    continue;
+                }
+
+                foreach (Fact new_fact in new_list)
+                {
+                    //yield return null;
+
+                    Fact added = FactAdder.AddFactIfNotFound(new_fact, out bool exists, samestep, null, ActiveScroll.label);
+                    if (!exists)
+                    {
+                        new_facts.Add(added);
+                        AnimateExistingFactEvent.Invoke(added.Id, FactWrapper.FactMaterials.Solution);
+                        samestep = true;
+                    }
+                    else
+                    {
+                        // AnimateExistingFactEvent.Invoke(_new, FactWrapper.FactMaterials.Hint); // Automaticly done in FactRecorder
+                        oldt_to_new.Add(new_fact.Id, added.Id);
+                    }
+                }
+            }
+
+            Debug.Log($"Facts parsed within {(System.DateTime.UtcNow - parseTime).TotalMilliseconds}ms");
+            yield break;
+        }
     }
 
     public void NewAssignmentTrigger()
@@ -346,36 +387,6 @@ string prepareScrollAssignments()
         }
     }
 
-    private void GeneratePushoutFacts(List<MMTFact> pushoutFacts)
-    {
-        List<Fact> ret = new();
-        System.DateTime parseTime = System.DateTime.UtcNow;
-
-        bool samestep = false;
-        for (int i = 0; i < pushoutFacts.Count; i++)
-        {
-            List<Fact> new_list = ParsingDictionary.parseFactDictionary[pushoutFacts[i].getType()](pushoutFacts[i]);
-            if (new_list.Count == 0)
-            {
-                Debug.LogWarning("Parsing on pushout-fact returned empty List -> One of the dependent facts does not exist or parsing failed");
-                continue;
-            }
-
-            foreach (Fact new_fact in new_list)
-            {
-                ret.Add(new_fact);
-
-                AnimateExistingFactEvent.Invoke
-                    (FactAdder.AddFactIfNotFound(new_fact, out _, samestep, null, ActiveScroll.label).Id
-                    , FactWrapper.FactMaterials.Solution);
-
-                samestep = true;
-            }
-        }
-
-        Debug.Log($"Facts parsed within {(System.DateTime.UtcNow - parseTime).TotalMilliseconds}ms");
-    }
-
     private void processScrollDynamicInfo(ScrollDynamicInfo scrollDynamicInfo)
     {
         LatestBackwartsCompletions = scrollDynamicInfo.backward_completions.Count > 0
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll/Endpoints.cs b/Assets/Scripts/MMTServer/CommunicationProtocoll/Endpoints.cs
index 24310a8e..6897479d 100644
--- a/Assets/Scripts/MMTServer/CommunicationProtocoll/Endpoints.cs
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll/Endpoints.cs
@@ -88,6 +88,8 @@ public string label
         public abstract string getType();
 
         public abstract string getApplicant();
+
+        public abstract MMTFact MapURIs(Dictionary<string, string> old_to_new);
     }
 
     /// <summary>Class for facts without values, e.g. Points</summary>
@@ -102,7 +104,13 @@ public class MMTGeneralFact : MMTFact
 
 
         [JsonConstructor]
-        private MMTGeneralFact() { }
+        private MMTGeneralFact(OMS @ref, string label, SOMDoc type, SOMDoc defines)
+        {
+            this.@ref = @ref;
+            this.label = label;
+            this.type = type;
+            this.defines = defines;
+        }
 
         /// <summary>Constructor used for sending new declarations to mmt</summary>
         public MMTGeneralFact(string label, SOMDoc type, SOMDoc defines)
@@ -142,6 +150,9 @@ public override string getApplicant()
                 _ => null
             };
         }
+
+        public override MMTFact MapURIs(Dictionary<string, string> old_to_new)
+            => new MMTGeneralFact(@ref, label, type.MapURIs(old_to_new), defines.MapURIs(old_to_new));
     }
 
     /// <summary>Class for facts with values, e.g. Distances or Angles</summary>
@@ -162,7 +173,15 @@ public class MMTValueFact : MMTFact
         public SOMDoc proof;
 
         [JsonConstructor]
-        private MMTValueFact() { }
+        private MMTValueFact(OMS @ref, string label, SOMDoc lhs, SOMDoc valueType, SOMDoc value, SOMDoc proof = null)
+        {
+            this.@ref = @ref;
+            this.label = label;
+            this.lhs = lhs;
+            this.valueType = valueType;
+            this.value = value;
+            this.proof = proof;
+        }
 
         /// <summary>Constructor used for sending new declarations to mmt</summary>
         public MMTValueFact(string label, SOMDoc lhs, SOMDoc valueType, SOMDoc value, SOMDoc proof = null)
@@ -191,6 +210,14 @@ public override string getApplicant()
                 _ => null
             };
         }
+
+        public override MMTFact MapURIs(Dictionary<string, string> old_to_new)
+            => new MMTValueFact(@ref, label,
+                    lhs.MapURIs(old_to_new),
+                    valueType.MapURIs(old_to_new),
+                    value.MapURIs(old_to_new),
+                    proof.MapURIs(old_to_new)
+                );
     }
 
     public class Scroll
diff --git a/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs
index 24fd247a..47308153 100644
--- a/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs
+++ b/Assets/Scripts/MMTServer/CommunicationProtocoll/SOMDocToLambdaExpression.cs
@@ -6,22 +6,20 @@
 using System.Reflection;
 using UnityEditor;
 using System.Collections.ObjectModel;
-using UnityEngine.Assertions;
 
 namespace REST_JSON_API
 {
     abstract public partial class SOMDoc
     {
-        public Func<object[], object[]> PartialInvokeCastingLambdaExpression(out Type[] signature, object[] callArgs = null, bool[] useArgs = null)
+        public Func<object[], object[]> PartialInvokeCastingLambdaExpression(out Expression compile_base, out Type[] signature, object[] callArgs = null, bool[] useArgs = null)
         {
-            Expression to_compile;
             List<Type> signature_list;
             LambdaExpression lambda_orig = GetLambdaExpression();
 
             if (FuncExtensions.IsFuncType(lambda_orig.ReturnType, out int signature_count))
             {
                 signature_list = lambda_orig.ReturnType.GetGenericArguments().ToList();
-                to_compile = lambda_orig.Body;
+                compile_base = lambda_orig.Body;
             }
             else
             {
@@ -31,7 +29,7 @@ public Func<object[], object[]> PartialInvokeCastingLambdaExpression(out Type[]
                         lambda_orig.Parameters.Select(p => p.Type),
                         lambda_orig.ReturnType)
                     .ToList();
-                to_compile = lambda_orig;
+                compile_base = lambda_orig;
             }
 
             ParameterExpression object_arr = Expression.Parameter(typeof(object[]), "PARAMS_Arr");
@@ -64,10 +62,10 @@ public Func<object[], object[]> PartialInvokeCastingLambdaExpression(out Type[]
             LambdaExpression final_expression =
                 Expression.Lambda(
                     typeof(object[]).IsAssignableFrom(signature[^1])
-                    ? Expression.Invoke(to_compile, cast_new_to_signature)
+                    ? Expression.Invoke(compile_base, cast_new_to_signature)
                     : Expression.NewArrayInit(
                         typeof(object),
-                        new Expression[] { Expression.Convert(Expression.Invoke(to_compile, cast_new_to_signature), typeof(object)) }),
+                        new Expression[] { Expression.Convert(Expression.Invoke(compile_base, cast_new_to_signature), typeof(object)) }),
 
                     object_arr
                 );
@@ -83,6 +81,8 @@ protected static class SOMDocToLambdaExpression
             public delegate LambdaExpression CustomFunction(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params);
             private static readonly Dictionary<string, CustomFunction> MMTtoLambdaMaker = new()
         {
+            { MMTConstants.InvertRealLit,
+                MakeInvert },
             { MMTConstants.Sin,
                 MakeSin },
             { MMTConstants.Cos,
@@ -121,7 +121,7 @@ protected static class SOMDocToLambdaExpression
                 CallAnyFunction(false, "ToArray", typeof(Enumerable)) },
             { MMTConstants.Filter2,
                 ChainMakes(new[]{
-                    CallAnyFunction(false, "WhereManual", typeof(IEnumerableExtensions)),
+                    CallAnyFunction(false, "Where", typeof(Enumerable)),
                     CallAnyFunction(false, "ToList", typeof(Enumerable))})},
             { MMTConstants.Fold,
                 Aggregate},
@@ -231,8 +231,6 @@ protected static class SOMDocToLambdaExpression
                 ExpressionType.Increment},
             { MMTConstants.MinusRealLit,
                 ExpressionType.Negate},
-            { MMTConstants.InvertRealLit,
-                ExpressionType.Negate},
             { "NegateChecked",
                 ExpressionType.NegateChecked},
             { "Not",
@@ -275,30 +273,46 @@ void ThrowArgumentException(ExpressionType expression_cast, int expected)
 
                 if (FactRecorder.AllFacts.TryGetValue(URI, out Fact fact))
                 {
-                    MMTFact decl = fact.MakeMMTDeclaration();
-                    SOMDoc df = decl is MMTGeneralFact gf
-                        ? gf.defines
-                        : (decl as MMTValueFact).lhs;
-
-                    LambdaExpression lambda_orig = df.GetLambdaExpression();
+                    Expression lambda_lambda;
+                    int ll_params_c;
+                    IEnumerable<Type> ll_params;
 
-                    if (lambda_orig.Body is not LambdaExpression lambda_lambda
-                     || lambda_applicant.Length == 0)
-                        return lambda_orig;
+                    if (fact is not FunctionFact ffact)
+                    {
+                        MMTFact decl = fact.MakeMMTDeclaration();
+                        SOMDoc df = decl is MMTGeneralFact gf
+                            ? gf.defines
+                            : (decl as MMTValueFact).lhs;
+
+                        LambdaExpression lambda_orig = df.GetLambdaExpression();
+                        if (lambda_orig.Body is not LambdaExpression lambda_lambda1
+                         || lambda_applicant.Length == 0)
+                            return lambda_orig;
+
+                        lambda_lambda = lambda_lambda1;
+                        ll_params_c = lambda_lambda1.Parameters.Count();
+                        ll_params = lambda_lambda1.Parameters.Select(p => p.Type);
+                    }
+                    else
+                    {
+                        lambda_lambda = ffact.LambdaExpression;
+                        ll_params_c = ffact.Signature.Length - 1;
+                        ll_params = ffact.Signature.Take(ll_params_c);
+                    }
 
-                    int free_params = lambda_lambda.Parameters.Count() - lambda_applicant.Length;
+                    int free_params = ll_params_c - lambda_applicant.Length;
                     if (free_params <= 0)
                         return Expression.Lambda(
                             Expression.Invoke(
-                                lambda_lambda, 
-                                lambda_applicant.Select(app => app.Body).Take(lambda_lambda.Parameters.Count())),
+                                lambda_lambda,
+                                lambda_applicant.Select(app => app.Body).Take(ll_params_c)),
                             found_bound_params
                         );
 
                     ParameterExpression[] new_params =
-                        lambda_lambda.Parameters
+                        ll_params
                         .Skip(lambda_applicant.Length)
-                        .Select(p => Expression.Parameter(p.Type))
+                        .Select(t => Expression.Parameter(t))
                         .ToArray();
 
                     return Expression.Lambda(
@@ -359,6 +373,14 @@ public static LambdaExpression ExpresionFuncToLambda(LambdaExpression func, stri
             public static LambdaExpression ParseFuncUUToExpression<U>(Func<U, U> func)
                 => (Expression<Func<U, U>>)((U x) => func(x));
 
+            public static LambdaExpression MakeInvert(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
+                => Expression.Lambda(
+                        Expression.MakeBinary(ExpressionType.Divide,
+                            Expression.Convert(Expression.Constant(1), lambda_applicant[0].ReturnType),
+                            lambda_applicant[0].Body),
+                        bound_params
+                    );
+
             public static LambdaExpression MakeSin(LambdaExpression[] lambda_applicant, LambdaExpression[] lambda_arguments, ParameterExpression[] bound_params)
                 => ExpresionFuncToLambda(
                           lambda_applicant[0].ReturnType == typeof(float) ? ParseFuncUUToExpression<float>(MathF.Sin)
diff --git a/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs b/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs
index d7156187..ac9f5a5a 100644
--- a/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs
+++ b/Assets/Scripts/Utility/Extensions/IEnumerableExtensions.cs
@@ -52,6 +52,19 @@ Func<TSource, bool> predicate
         }
     }
 
+    public static IEnumerable<TSelect> SelectManual<TSource, TSelect>
+    (
+        IEnumerable<TSource> source,
+        Func<TSource, TSelect> selector
+    )
+    {
+        foreach (TSource item in source)
+        {
+            TSelect selected = selector(item);
+            yield return selected;
+        }
+    }
+
     public static TAccumulate AggregateManual<TAccumulate, TSource>
     (
         IEnumerable<TSource> source,
diff --git a/Assets/Stages/CanonBall 2D.JSON b/Assets/Stages/CanonBall 2D.JSON
index 96bd0b6b..44b55727 100644
--- a/Assets/Stages/CanonBall 2D.JSON	
+++ b/Assets/Stages/CanonBall 2D.JSON	
@@ -7,20 +7,20 @@
   "solution": {
     "ValidationSet": [],
     "ExposedSolutionFacts": [
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 14.715, 18.639)",
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 7.3575, -24.0345)",
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0)",
-      "0.8",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0, -0.04905), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0, 19.66905))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -0.04905, 0), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.66905, 0.0004905))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -0.04905, 19.62), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.66905, 19.62049))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.62, -0.04905), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.62, 19.66905))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 9.809999, 2.4525), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 13.2435, 5.886))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 7.3575), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 9.809999))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 13.97925, 7.3575), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 9.809999, 9.809999))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 17.658, 11.2815), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 14.715, 14.715))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 14.715), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 7.3575, 18.88425))",
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 2.4525, 2.4525), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 6.62175, 4.905))",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact7",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact8",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact9",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact10",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact13",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact16",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact19",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact22",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact25",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact28",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact31",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact34",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact37",
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact40",
       "[Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))}[t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 14.71507, 18.63876), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 7.3575, -24.0345), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(0)))}(-1E-05, 0.2337258)",
       "[Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))}[t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 16.16695, 13.02121), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 18.38171, -6.944755), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(0.2337258)))}(0.2337158, 0.4320768)",
       "[Pos(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Vel(http://mathhub.info/MitM/core/geometry?3DGeometry?point), Acc(http://mathhub.info/MitM/core/geometry?3DGeometry?point), t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(Pos), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Vel), Variable_(t)), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(0.5, http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(Acc), http://mathhub.info/MitM/Foundation?RealLiterals?times_real_lit(Variable_(t), Variable_(t))))))}[t(http://mathhub.info/MitM/Foundation?RealLiterals?real_lit)] => {MakeObjectArray(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.61987, 11.64365), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -13.14871, -5.555804), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0), http://mathhub.info/MitM/Foundation?RealLiterals?plus_real_lit(Variable_(t), http://mathhub.info/MitM/Foundation?RealLiterals?minus_real_lit(0.4320768)))}(0.4320667, 0.9467315)",
@@ -59,177 +59,177 @@
       "-1": null
     },
     "MetaInf": {
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 14.715, 18.639)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact7": {
         "workflow_id": 0,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 7.3575, -24.0345)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact8": {
         "workflow_id": 1,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -9.809999, 0)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact9": {
         "workflow_id": 2,
         "active": true,
         "isImmutable": false
       },
-      "0.8": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact10": {
         "workflow_id": 3,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0, -0.04905)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact11": {
         "workflow_id": 4,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0, 19.66905)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact12": {
         "workflow_id": 5,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0, -0.04905), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 0, 19.66905))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact13": {
         "workflow_id": 6,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -0.04905, 0)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact14": {
         "workflow_id": 7,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.66905, 0.0004905)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact15": {
         "workflow_id": 8,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -0.04905, 0), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.66905, 0.0004905))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact16": {
         "workflow_id": 9,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -0.04905, 19.62)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact17": {
         "workflow_id": 10,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.66905, 19.62049)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact18": {
         "workflow_id": 11,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, -0.04905, 19.62), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.66905, 19.62049))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact19": {
         "workflow_id": 12,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.62, -0.04905)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact20": {
         "workflow_id": 13,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.62, 19.66905)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact21": {
         "workflow_id": 14,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.62, -0.04905), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 19.62, 19.66905))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact22": {
         "workflow_id": 15,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 9.809999, 2.4525)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact23": {
         "workflow_id": 16,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 13.2435, 5.886)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact24": {
         "workflow_id": 17,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 9.809999, 2.4525), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 13.2435, 5.886))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact25": {
         "workflow_id": 18,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 7.3575)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact26": {
         "workflow_id": 19,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 9.809999)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact27": {
         "workflow_id": 20,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 7.3575), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 9.809999))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact28": {
         "workflow_id": 21,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 13.97925, 7.3575)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact29": {
         "workflow_id": 22,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 9.809999, 9.809999)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact30": {
         "workflow_id": 23,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 13.97925, 7.3575), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 9.809999, 9.809999))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact31": {
         "workflow_id": 24,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 17.658, 11.2815)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact32": {
         "workflow_id": 25,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 14.715, 14.715)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact33": {
         "workflow_id": 26,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 17.658, 11.2815), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 14.715, 14.715))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact34": {
         "workflow_id": 27,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 14.715)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact35": {
         "workflow_id": 28,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 7.3575, 18.88425)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact36": {
         "workflow_id": 29,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 4.905, 14.715), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 7.3575, 18.88425))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact37": {
         "workflow_id": 30,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 2.4525, 2.4525)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact38": {
         "workflow_id": 31,
         "active": true,
         "isImmutable": false
       },
-      "http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 6.62175, 4.905)": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact39": {
         "workflow_id": 32,
         "active": true,
         "isImmutable": false
       },
-      "http://mathhub.info/MitM/core/geometry?Geometry/Common?metric(http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 2.4525, 2.4525), http://gl.mathhub.info/MMT/LFX/Sigma?Symbols?Tuple(0, 6.62175, 4.905))": {
+      "http://mathhub.info/FrameIT/frameworld?DefaultSituationSpace/SituationTheory1?fact40": {
         "workflow_id": 33,
         "active": true,
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diff --git a/Assets/Stages/CanonBall 3D.JSON b/Assets/Stages/CanonBall 3D.JSON
index 552c5da2..8d4ba14b 100644
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diff --git a/Assets/Stages/TechDemo A.JSON b/Assets/Stages/TechDemo A.JSON
index 815895d3..c13f4330 100644
--- a/Assets/Stages/TechDemo A.JSON	
+++ b/Assets/Stages/TechDemo A.JSON	
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diff --git a/Assets/Stages/TechDemo B.JSON b/Assets/Stages/TechDemo B.JSON
index d322b65c..50d370c0 100644
--- a/Assets/Stages/TechDemo B.JSON	
+++ b/Assets/Stages/TechDemo B.JSON	
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@@ -39,17 +39,17 @@
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-- 
GitLab