diff --git a/test/built-in/age-zkp.n3s b/test/built-in/age-zkp.n3s
new file mode 100644
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+++ b/test/built-in/age-zkp.n3s
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+@prefix xsd: <http://www.w3.org/2001/XMLSchema#>.
+@prefix string: <http://www.w3.org/2000/10/swap/string#>.
+@prefix math: <http://www.w3.org/2000/10/swap/math#>.
+@prefix crypto: <http://www.w3.org/2000/10/swap/crypto#>.
+@prefix log: <http://www.w3.org/2000/10/swap/log#>.
+@prefix : <urn:example:>.
+
+# components
+:zeroKnowledgeProof a log:Component.
+:challengeProof a log:Component.
+
+# private person data
+:Mary :birthDay "2000-01-01"^^xsd:date.
+:Pat :birthDay "1970-01-01"^^xsd:date.
+:John :birthDay "1960-01-01"^^xsd:date.
+
+# simulation date
+:simulation1 :date "2025-01-11T00:00:00.0Z"^^xsd:dateTime.
+
+# simulation age
+:simulation1 :age "P50Y"^^xsd:duration.
+
+# prover proving that someone is above some age using a hash and without revealing their age
+(   _:Name
+    _:Result
+    _:Hash
+    _:BirthDay
+    _:Date
+    _:Age
+    _:Diff
+    _:Str
+    _:Context
+) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        :simulation1 :zeroKnowledgeProof (_:Name _:Result _:Hash).
+    }.
+    _:Name :birthDay _:BirthDay.
+    :simulation1 :date _:Date.
+    :simulation1 :age _:Age.
+    (_:Date _:BirthDay) math:difference _:Diff.
+    ({ _:Diff math:greaterThan _:Age }) string:concatenation _:Str.
+    _:Str crypto:sha256 _:Hash.
+    (
+        { _:Diff math:greaterThan _:Age }
+        { _:Result log:equalTo ("proof verified: " _:Name " is more than 50 years old and entitled to work 80% per week")!string:concatenation }
+        { _:Result log:equalTo ("proof failed: " _:Name " is less than 50 years and not entitled to work 80% per week")!string:concatenation }
+    ) log:ifThenElseIn (_:Context -1).
+}.
+
+# challenging the proof using the hash
+(   _:Name
+    _:Result
+    _:Hash
+    _:BirthDay
+    _:Date
+    _:Age
+    _:Diff
+    _:Str
+    _:ProofHash
+    _:Context
+) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        :simulation1 :challengeProof (_:Name _:Result _:Hash).
+    }.
+    _:Name :birthDay _:BirthDay.
+    :simulation1 :date _:Date.
+    :simulation1 :age _:Age.
+    (_:Date _:BirthDay) math:difference _:Diff.
+    ({ _:Diff math:greaterThan _:Age }) string:concatenation _:Str.
+    _:Str crypto:sha256 _:ProofHash.
+    (
+        { _:Hash log:equalTo _:ProofHash }
+        { _:Result log:equalTo ("challenge successful: the proof is valid")!string:concatenation }
+        { _:Result log:equalTo ("challenge failed: the proof is invalid")!string:concatenation }
+    ) log:ifThenElseIn (_:Context -1).
+}.
+
+# query
+() log:onNegativeSurface {
+    :simulation1 :zeroKnowledgeProof (:Mary "proof failed: :Mary is less than 50 years and not entitled to work 80% per week" "4f1aa645fc353e36d9fbb3b78d34b97ab34cc1b515dc80276e66ea11acfe2c96").
+    :simulation1 :zeroKnowledgeProof (:Pat "proof verified: :Pat is more than 50 years old and entitled to work 80% per week" "5611fb0dfa67e894917f81cf4b24577e4bc89c86c17423ba7fc28181eb368b3b").
+    :simulation1 :challengeProof (:Mary "challenge failed: the proof is invalid" "adf23913cd97b2d831b54cf9109c111d205d8dfd777413235bdb1c7c91cf4007").
+    :simulation1 :challengeProof (:Pat "challenge successful: the proof is valid" "5611fb0dfa67e894917f81cf4b24577e4bc89c86c17423ba7fc28181eb368b3b").
+    () log:onNegativeAnswerSurface {
+        :test :is true .
+    } .
+} .
diff --git a/test/built-in/graph-3-coloring.n3s b/test/built-in/graph-3-coloring.n3s
new file mode 100644
index 0000000..6da9492
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+++ b/test/built-in/graph-3-coloring.n3s
@@ -0,0 +1,107 @@
+@prefix list: <http://www.w3.org/2000/10/swap/list#>.
+@prefix log: <http://www.w3.org/2000/10/swap/log#>.
+@prefix : <http://example.org/#>.
+
+# components
+:valid_coloring a log:Component.
+:conflict a log:Component.
+:permuted_coloring a log:Component.
+:challenge_edge a log:Component.
+:prover_response a log:Component.
+:verify_response a log:Component.
+
+# graph definition
+:a :edge :b.
+:b :edge :c.
+:c :edge :d.
+:d :edge :e.
+:e :edge :a.
+:a :edge :c.
+:b :edge :d.
+
+# list of allowed colors
+true :color :red.
+true :color :blue.
+true :color :green.
+
+# check if a coloring is valid for the entire graph (no two connected nodes have the same color)
+true :valid_coloring ().
+(_:L _:NC _:Rest _:SCOPE) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        true :valid_coloring _:L.
+    }.
+    _:L list:firstRest (_:NC _:Rest).
+    ({ _:NC :conflict _:Rest } false true) log:ifThenElseIn (_:SCOPE -1).
+    true :valid_coloring _:Rest.
+}.
+
+# conflict check: verifies if neighbors have the same color
+(_:Node _:Color _:L _:Neighbor _:Any) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        (_:Node _:Color) :conflict _:L.
+    }.
+    _:L list:firstRest ((_:Neighbor _:Color) _:Any).
+    _:Node :edge _:Neighbor.
+}.
+
+(_:NC _:L _:Any _:Rest) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        _:NC :conflict _:L.
+    }.
+    _:L list:firstRest (_:Any _:Rest).
+    _:NC :conflict _:Rest.
+}.
+
+# Alice's secret valid coloring
+true :alice_knows_coloring ((:a :red) (:b :blue) (:c :green) (:d :red) (:e :blue)).
+
+# prover generates a permuted version of the coloring (hides actual colors)
+(_:PermutedColoring _:SecretColoring) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        true :permuted_coloring _:PermutedColoring.
+    }.
+    true :alice_knows_coloring _:SecretColoring.
+    _:SecretColoring list:permutation _:PermutedColoring.
+}.
+
+# verifier issues a random edge as a challenge
+(_:X _:Y) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        true :challenge_edge (_:X _:Y).
+    }.
+    _:X :edge _:Y.
+}.
+
+# prover reveals colors for the challenged edge only
+(_:X _:Y _:PermutedColoring _:ColorX _:ColorY) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        ((_:X _:Y) _:PermutedColoring) :prover_response ((_:X _:ColorX) (_:Y _:ColorY)).
+    }.
+    _:PermutedColoring list:member (_:X _:ColorX).
+    _:PermutedColoring list:member (_:Y _:ColorY).
+}.
+
+# verifier checks if revealed colors are different for the challenged edge
+(_:X _:ColorX _:Y _:ColorY _:Result _:SCOPE) log:onNegativeSurface {
+    () log:onNegativeSurface {
+        ((_:X _:ColorX) (_:Y _:ColorY)) :verify_response _:Result.
+    }.
+    ({ _:ColorX log:notEqualTo _:ColorY } { _:Result log:equalTo :valid } { _:Result log:equalTo :invalid })  log:ifThenElseIn (_:SCOPE -1).
+}.
+
+# query
+(_:PermutedColoring _:Edge _:Response _:SCOPE) log:onNegativeSurface {
+    (
+        {
+            true :permuted_coloring _:PermutedColoring.
+            true :challenge_edge _:Edge.
+            (_:Edge _:PermutedColoring) :prover_response _:Response.
+        }
+        {
+            _:Response :verify_response :valid.
+        }
+    ) log:forAllIn _:SCOPE.
+    () log:onNegativeAnswerSurface {
+        :test :is true.
+    }.
+}.