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https://w3id.org/np/RAqeqwNfGdgt6KKKLFbJ2pZd8d3BTHeogjatJ9-sZmqmM

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Content

@prefix this: <https://w3id.org/np/RAqeqwNfGdgt6KKKLFbJ2pZd8d3BTHeogjatJ9-sZmqmM> .
@prefix sub: <https://w3id.org/np/RAqeqwNfGdgt6KKKLFbJ2pZd8d3BTHeogjatJ9-sZmqmM/> .
@prefix np: <http://www.nanopub.org/nschema#> .
@prefix rdf: <http://www.w3.org/1999/02/22-rdf-syntax-ns#> .
@prefix prov: <http://www.w3.org/ns/prov#> .
@prefix npx: <http://purl.org/nanopub/x/> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

sub:Head {
  this: a np:Nanopublication;
    np:hasAssertion sub:assertion;
    np:hasProvenance sub:provenance;
    np:hasPublicationInfo sub:pubinfo .
}

sub:assertion {
  <https://w3id.org/delphi/resource/assessment/wolfram2002-ch03-17--claim-test> a <https://w3id.org/delphi/ontology/Assessment>;
    dc:description "analysis.py rewrites the initial term by the locked rule, records the leaf count until a fixed point or until the count exceeds 8000, and computes the digram entropy of the signs of successive differences. The control replaces every match by the atom e.";
    <http://www.w3.org/2000/01/rdf-schema#comment> "Measured: 0.431017 bits, digram entropy of leaf-count difference signs (n = 117, plugin estimate on 116 overlapping sign pairs). Interpretation: The rule is one of the six drawn on NKS page 104, in the row whose size-difference plots run to the thousands: e[x_][y_] -> x[y[x]]. The initial condition is the one named on that page. 'Complex and seemingly random' is high digram entropy of the size-difference signs, not a stabilized or purely monotone size. The collapsing rule is the control that must look simple.";
    <http://www.w3.org/2000/01/rdf-schema#label> "Claim test of wolfram2002-ch03-17: mixed, confidence 0.58";
    <http://www.w3.org/2000/01/rdf-schema#seeAlso> <https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/wolfram-nks/wolfram2002-ch03-17/result.json>;
    prov:wasAttributedTo <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7>;
    <https://w3id.org/delphi/ontology/admissibleDatasets> "Only this rule, this initial condition, and the locked cap. No other symbolic rule is run except the collapsing control. Not evidence about organisms.";
    <https://w3id.org/delphi/ontology/assessmentType> "claim-test/0.1.0";
    <https://w3id.org/delphi/ontology/dataKind> "computational";
    <https://w3id.org/delphi/ontology/disconfirmingObservation> "The same rule reaches a fixed point with at most 50 leaves. Monotone or low-entropy growth is mixed, not a confirmation of randomness.";
    <https://w3id.org/delphi/ontology/evidenceAgainst> "One rule, one initial condition, one scan order. The other five rules drawn on the page were not run. A match or a miss here says nothing about organisms.",
      "The rule does not stabilize: leaf count goes from 6 to 8031 in 117 steps and hits the cap. The collapsing control goes from 6 leaves to 2 and is then fixed.",
      "The size-difference signs are 113 plus, 0 minus and 4 zero, so H2 is 0.431017, below the locked randomness bar of 2. Growth on this scan is nearly monotone. That does not confirm 'seemingly random', and it does not show a simple fixed point either.";
    <https://w3id.org/delphi/ontology/expectedObservation> "The orbit is still changing when it stops, has more than 50 leaves, at least 20 size-difference signs, and H2 of those signs is at least 2, while the collapsing control is fixed within 10 steps.";
    <https://w3id.org/delphi/ontology/failCriterion> "Pre-registered. If the control stabilizes in 10 steps and the subject reaches a fixed point with maximum leaf count at most 50, the verdict is refutes for this rule on this bound. Any other controlled outcome that is not a support is mixed, including growth whose sign sequence has H2 < 2. If the control does not stabilize within 10 steps, or there are fewer than 20 signs and no fixed point, the verdict is inconclusive. One rule is not a survey. This says nothing about organisms.";
    <https://w3id.org/delphi/ontology/hasConfidence> "0.58"^^xsd:double;
    <https://w3id.org/delphi/ontology/hasEvidence> <https://w3id.org/delphi/resource/evidence/wolfram2002-ch03-17--claim-test--dataset-1>;
    <https://w3id.org/delphi/ontology/hasVerdict> "mixed";
    <https://w3id.org/delphi/ontology/hypothesis> "The page-104 rule e[x_][y_] -> x[y[x]], started from e[e[e][e]][e][e], does not reach a fixed point within 200 steps or 8000 leaves, and the signs of its leaf-count differences have digram entropy at least 2.";
    <https://w3id.org/delphi/ontology/inferenceMethod> "Digram entropy of the sign sequence of leaf counts, with the locked thresholds, after the control has stabilized.";
    <https://w3id.org/delphi/ontology/passCriterion> "Pre-registered. Expressions are binary application trees. The atom is e. A node (e[x])[y] matches and is replaced by x[y[x]]; a match is not scanned inside during that step, and non-matches are scanned function-first then argument. Leaf count is the number of e atoms in the written term. Run at most 200 steps or until the leaf count exceeds 8000. Let s_t be the sign of the successive leaf-count difference, in {-1, 0, +1}. H2 is the Shannon entropy of overlapping pairs of signs. Supports if the run does not hit a fixed point, the maximum leaf count exceeds 50, there are at least 20 signs, H2 >= 2, and the control rule e[x_][y_] -> e from the same initial condition reaches a fixed point in at most 10 steps. The initial condition must have 6 leaves or the script aborts.";
    <https://w3id.org/delphi/ontology/preregistered> "false"^^xsd:boolean .
  
  <https://w3id.org/delphi/resource/claim/wolfram2002-ch03-17> <https://w3id.org/delphi/ontology/hasAssessment>
      <https://w3id.org/delphi/resource/assessment/wolfram2002-ch03-17--claim-test> .
  
  <https://w3id.org/delphi/resource/evidence/wolfram2002-ch03-17--claim-test--dataset-1>
    a <https://w3id.org/delphi/ontology/EvidenceItem>;
    dc:description "one rule from the page-104 figure; the collapsing rule is the control";
    dc:license "generated data";
    <http://www.w3.org/2000/01/rdf-schema#label> "Dataset: Symbolic system e[x_][y_] -> x[y[x]] from e[e[e][e]][e][e]";
    prov:wasDerivedFrom <https://www.wolframscience.com/nks/p104--symbolic-systems/> .
}

sub:provenance {
  <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7> a prov:SoftwareAgent;
    <http://www.w3.org/2000/01/rdf-schema#label> "delphisci claim tester (Grok 4.7; cursor/wolfram-claim-tests-b-355b)";
    prov:actedOnBehalfOf <https://orcid.org/0009-0007-4948-9192>;
    <https://w3id.org/delphi/ontology/usesModel> <https://w3id.org/delphi/resource/model/grok-4-7> .
  
  <https://w3id.org/delphi/resource/model/grok-4-7> a <https://w3id.org/delphi/ontology/LanguageModel>;
    dc:identifier "Grok 4.7" .
  
  sub:assertion prov:wasAttributedTo <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7>;
    prov:wasDerivedFrom <https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/wolfram-nks/wolfram2002-ch03-17/result.json>;
    prov:wasGeneratedBy sub:test .
  
  sub:plan prov:hadPlan <https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/README.md> .
  
  sub:test a prov:Activity;
    prov:qualifiedAssociation sub:plan;
    prov:wasAssociatedWith <https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7> .
}

sub:pubinfo {
  this: dc:created "2026-11-08T16:24:31.921Z"^^xsd:dateTime;
    dc:creator <https://orcid.org/0009-0007-4948-9192>;
    dc:license <https://creativecommons.org/licenses/by/4.0/>;
    npx:hasNanopubType <https://w3id.org/delphi/ontology/Assessment>;
    npx:introduces <https://w3id.org/delphi/resource/assessment/wolfram2002-ch03-17--claim-test>;
    <http://www.w3.org/2000/01/rdf-schema#label> "Claim test of wolfram2002-ch03-17: mixed, confidence 0.58";
    <https://w3id.org/delphi/ontology/domain> <https://w3id.org/delphi/resource/domain/wolfram-nks-2002> .
  
  sub:sig npx:hasAlgorithm "RSA";
    npx:hasPublicKey "MIIBIjANBgkqhkiG9w0BAQEFAAOCAQ8AMIIBCgKCAQEAyFHtPB6p0mCjDozxlOY9CmO3nBm7Te3jFbXyLmM+G1tGe47Da0jYIbhkl9Oo1ZjxmCa3LCwlEqK8gj6hEIcL4ahW30JXh9HycfKVk1bugkzMEV15tJdTzAU3sGMFnbNsn43xY2LFLy45tApkRm5byEiM7oRRrooIdwoQKnP4Wzq/bfAoJ9qvW+MGkelyOTd1jbSt+KfmT7xKmDfWzAHddUlWwMX2QJOLxDaffOteTop6ZRgPiNmPJKA/S62Gac9XtSYT3oDkZ6/nr5cxxNLpOyxTf5FPISiCe11xYO/unYjY+mwnOfA8yhJIyx1l0O9I0vpOpn+E5TvyHJV+oSTrvwIDAQAB";
    npx:hasSignature "ONl3if1M8MejQG+bANb+Crt/99AL8vgOqoub/J8Ur9s/k3BPBbBxMeu01VyFkolmgeUDbpU+UEfmV78TelbYe2JkkWL9tDxIA6NwTUmDNfRD2YyBDB73guNyRX8/8KhHpE7orEl2qKnUllP/KMDO5PbQNWLOpKCjTm9FcVwcUs2nXGEPAsIuAxcNHl5kVVP1F81COtSY2ehtjLRibNLdTEDV9XVtQF5f9glz7rNpuu6Iq0qzoTgt7GYjg8MGL40si4/Qq3ioy+Bwv69sxbtI9gL41nLcfE2sXvCW7VUwrO/HFzgC1ptGFvOGg2KdmMAzLyilmE+l1z8WPMRx5fsOWw==";
    npx:hasSignatureTarget this:;
    npx:signedBy <https://orcid.org/0009-0007-4948-9192> .
}