{ "what": "cert-machine and dReal 4 (delta-complete; Gao, Avigad, Clarke) on the same claims: the Contraprova flow-line gate's nine receipts (every check as a claim, the printed enclosures, the bracket of Colebrook's root) and the self-audit's entropy family (4 originals, 12 mutants), each put to dReal at two deltas. dReal's unsat is a proof; delta-sat is not a witness — each delta-sat box of a flow-line query has its midpoint re-decided by the gate. Agreement means dReal's unsat matches our CERTIFIED/REFUTED and a split refusal of ours shows delta-sat on both sides; disagreements are reported as they fell. Written by tools/dreal-compare.js --record; --check re-derives every word, agreement and total from the stored run and refuses on drift.", "name": "dreal-compare", "generated": "2026-11-05T04:08:52.197Z", "git": "145f76c1", "run": { "id": 41965738593, "url": "https://github.com/carlostoledo1891/cert-machine/actions/runs/41965738593", "headSha": "145f76c131d64966510f901f816074246642abd3", "event": "workflow_dispatch", "conclusion": "success", "createdAt": "2026-11-05T04:06:44Z", "dir": "corpus/dreal-compare/run-41965738593", "files": { "dreal.json": "686ac01eec5a05d5a794922f5df9e332cee588461c21eba16da57ed5836496e6", "dreal.log": "56943d3f4e775c6458e6981d70efba553775ad57586328430053e194580c3766", "ibex-version.txt": "b4ed3e3aef6923782ad6a5cb202ab65c09fe386db40f8b60d7a9aa40d3ee144b", "ours-runner.json": "279df0cafd4e15183684198cf2a1e3cc62e7d04398aed61d1414779878203e8b", "run.json": "2bc5410d8d5239b0ce21277da86deb7fd382f885a934bea91cfd941df44da784" } }, "dreal": { "package": "4.21.6.2", "contextVersion": "4.21.06.2", "moduleVersion": "4.21.6.2", "wheelSha256": "936759fb2990fd4cf516b3fdbe119418777cbd2507d503f7eb4bab075c5216bc", "config": "CheckSatisfiability(formula, delta): the default Config except its precision (one job, no polytope contractor, no local optimization, largest-first branching)", "wheel": { "pin": "dreal==4.21.6.2", "file": "dreal-4.21.6.2-cp310-none-manylinux1_x86_64.whl", "sha256": "936759fb2990fd4cf516b3fdbe119418777cbd2507d503f7eb4bab075c5216bc" }, "host": { "python": "3.10.22", "platform": "Linux-6.8.0-1070-azure-x86_64-with-glibc2.35", "cpu": "AMD EPYC 9V45 96-Core Processor", "cpus": 4 }, "systemLibraries": [ "coinor-libclp-dev 1.17.5+repack1-1", "libibex-dev 2.7.4.20220710184652.git352eeeb2345fb2b7a7ec248b44770d8cdc4a5d67~22.04", "libnlopt-cxx-dev 2.7.1-3build1" ], "started": "2026-11-05T04:07:48Z", "finished": "2026-11-05T04:08:30Z" }, "deltas": [ "0.001", "1e-9" ], "timeoutSeconds": 900, "claimsFile": { "path": "corpus/dreal-compare/claims.json", "sha256": "6394031cc677136519b72f74fcc1b8124591108346fac4795e8f21a2fea2e7f9" }, "sources": { "apps/contraprova/gate/scenarios.json": "199bb6f8170f6353b2d6348c3bf60d4488cd3691b15f346a5c8fab35f443b934", "apps/contraprova/gate/flowline.js": "e64151a67ae8ab98619cd661623ac2e14fba7a367c730a8218c77495bbeee8c7", "apps/contraprova/data/gate-ledger.json": "b124ffe573e014c1740a8cabb66fa817a6b65e62c2443d70818fe49b911b7d07", "certs/selfaudit-mutations.json": "ec5cab5f96968cd60bd7918026be6ac1d744d388b47d5763fca21bea5c2a6e90", "certs/claims-ledger.json": "3c0ff499b704ba4c976a6e9819f3894dab1d9bffd4a100e57a4b20d1425c8a9b", "certs/sumdiff-ledger.json": "bf8857db9f64b6508da042b5f0d4e4b30fe452f47fb14a64b701482e7ab94ac4", "certs/fei-ledger.json": "ad853dabf838029896747144ee765fd418830311dc7c4b133575119d08bcf59e", "instruments/selfaudit/entropy.js": "63ca98745e8d7fd14c038d367f3eb6fa16b1bfeb4bda3bb5765f5ca47608ce84", "corpus/optimization-constants/mi2026/c3b_pr92/certificate_3b_13pt.json": "2efe99360a1ff5e3736e734ed06e5ab8e0cdcc33583ef22ece9e927e9e45365c", "corpus/optimization-constants/l2026/certificate_3c_147pt.json": "b3dc9587ba7a733a3f68b66017d7b5936f38040f8e9ca31a057bb65a6f227999", "corpus/optimization-constants/mi2026/c3c_pr93/certificate_3c_v3_95pt.json": "2ebd7ba7a32e776ff5d271510b63a0999869fecfb148087a3d0fdd57cc4ffc3e", "corpus/optimization-constants/num2026/fei_c71_n18_artifact.json": "57f5a1ad2bf5bcdee873413e796bc868ccc6131521af799c5eb48d5ae13267ba" }, "ours": { "local": { "machine": { "platform": "darwin-arm64", "os": "27.0.0", "cpu": "Apple M2", "cpus": 8, "node": "v24.14.1", "loadAverage": [ 2.19, 2.82, 3.42 ] }, "unit": "milliseconds, median of 9 runs (a tiny check repeated 1000 times per run)" }, "runner": { "machine": { "platform": "linux-x64", "os": "6.8.0-1070-azure", "cpu": "AMD EPYC 9V45 96-Core Processor", "cpus": 4, "node": "v20.20.2", "loadAverage": [ 0.9, 0.33, 0.12 ] }, "unit": "milliseconds, median of 9 runs (a tiny check repeated 1000 times per run)" }, "entropy": "decided.ms of certs/selfaudit-mutations.json (the self-audit's own timing, this Mac, 2026-10-21)" }, "totals": { "0.001": { "claims": 48, "agree": 34, "dReal weaker": 10, "dReal stronger": 0, "contradiction": 0, "door": 4, "anomaly": 0, "differ": 0, "receipts": 9, "receiptsAgree": 9, "deltaArtifacts": 0, "witnesses": 16, "queries": 76 }, "1e-9": { "claims": 48, "agree": 34, "dReal weaker": 10, "dReal stronger": 0, "contradiction": 0, "door": 4, "anomaly": 0, "differ": 0, "receipts": 9, "receiptsAgree": 9, "deltaArtifacts": 0, "witnesses": 16, "queries": 76 }, "deltaMoved": [] }, "findings": [ { "kind": "note", "statement": "no answer changed between delta = 0.001 and delta = 1e-9: on all 76 queries dReal gave the same unsat or delta-sat at every delta" }, { "kind": "note", "delta": "0.001", "claim": "flowline/dominio/Q40", "gateText": "Re ∈ [2.821; 3.711]: parte da caixa não é turbulenta, e nenhum modelo declarado vale ali. Não há decisão a dar.", "statement": "dReal proves the precondition fails on ALL of the declared box (phi unsat); the gate declines the receipt, as its grammar requires, but its sentence says \"parte da caixa não é turbulenta\" (part of the box) where the whole box is not; the Re range it prints shows it" }, { "kind": "note", "delta": "1e-9", "claim": "flowline/dominio/Q40", "gateText": "Re ∈ [2.821; 3.711]: parte da caixa não é turbulenta, e nenhum modelo declarado vale ali. Não há decisão a dar.", "statement": "dReal proves the precondition fails on ALL of the declared box (phi unsat); the gate declines the receipt, as its grammar requires, but its sentence says \"parte da caixa não é turbulenta\" (part of the box) where the whole box is not; the Re range it prints shows it" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-3b/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y)) ≥ 1.778988841420693550 for the 13-point law of the certificate (C3b), entropies in nats" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-3b/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y)) ≥ 1.778988841420693550 for the 13-point law of the certificate (C3b), entropies in nats" }, { "kind": "door", "delta": "0.001", "claim": "entropy/optconst-3b/weight-moved", "ours": "REFUSED", "dreal": "CERTIFIED", "statement": "a MALFORMED object: cert-machine refuses it at the door; dReal has no door and decides the formula as written" }, { "kind": "door", "delta": "1e-9", "claim": "entropy/optconst-3b/weight-moved", "ours": "REFUSED", "dreal": "CERTIFIED", "statement": "a MALFORMED object: cert-machine refuses it at the door; dReal has no door and decides the formula as written" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-3c/original", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950414058 for the 147-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-3c/original", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950414058 for the 147-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-3c/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950414058700631357567222139991363837138181486968118289 for the 147-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-3c/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950414058700631357567222139991363837138181486968118289 for the 147-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-3c/law-translated", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950414058 for the 147-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-3c/law-translated", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950414058 for the 147-point law of the certificate (C3c), entropies in nats" }, { "kind": "door", "delta": "0.001", "claim": "entropy/optconst-3c/weight-moved", "ours": "REFUSED", "dreal": "REFUSED", "statement": "a MALFORMED object: cert-machine refuses it at the door; dReal has no door and decides the formula as written" }, { "kind": "door", "delta": "1e-9", "claim": "entropy/optconst-3c/weight-moved", "ours": "REFUSED", "dreal": "REFUSED", "statement": "a MALFORMED object: cert-machine refuses it at the door; dReal has no door and decides the formula as written" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-3c-95/original", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950208249 for the 95-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-3c-95/original", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950208249 for the 95-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-3c-95/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.674733895020824993378207577604 for the 95-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-3c-95/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.674733895020824993378207577604 for the 95-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-3c-95/law-translated", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950208249 for the 95-point law of the certificate (C3c), entropies in nats" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-3c-95/law-translated", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "ρ(μ) = H(X−Y)/max(H(X), H(Y), H(X+Y), H(X+2Y)) ≥ 1.6747338950208249 for the 95-point law of the certificate (C3c), entropies in nats" }, { "kind": "door", "delta": "0.001", "claim": "entropy/optconst-3c-95/weight-moved", "ours": "REFUSED", "dreal": "REFUSED", "statement": "a MALFORMED object: cert-machine refuses it at the door; dReal has no door and decides the formula as written" }, { "kind": "door", "delta": "1e-9", "claim": "entropy/optconst-3c-95/weight-moved", "ours": "REFUSED", "dreal": "REFUSED", "statement": "a MALFORMED object: cert-machine refuses it at the door; dReal has no door and decides the formula as written" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-71/original", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "H/(I−1) > 6.521845710923046575 for the n = 18 truth table: H = Σ ŵ log2(1/ŵ) over its 2770 nonzero Fourier weights (10 distinct), I = 261/128" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-71/original", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "H/(I−1) > 6.521845710923046575 for the n = 18 truth table: H = Σ ŵ log2(1/ŵ) over its 2770 nonzero Fourier weights (10 distinct), I = 261/128" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-71/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "H/(I−1) > 6.5218457109230465756581439729485784683668 for the n = 18 truth table: H = Σ ŵ log2(1/ŵ) over its 2770 nonzero Fourier weights (10 distinct), I = 261/128" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-71/bar-above-ratio", "ours": "REFUTED", "dreal": "REFUSED", "statement": "H/(I−1) > 6.5218457109230465756581439729485784683668 for the n = 18 truth table: H = Σ ŵ log2(1/ŵ) over its 2770 nonzero Fourier weights (10 distinct), I = 261/128" }, { "kind": "dReal weaker", "delta": "0.001", "claim": "entropy/optconst-71/inputs-rotated", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "H/(I−1) > 6.521845710923046575 for the n = 18 truth table: H = Σ ŵ log2(1/ŵ) over its 2770 nonzero Fourier weights (10 distinct), I = 261/128" }, { "kind": "dReal weaker", "delta": "1e-9", "claim": "entropy/optconst-71/inputs-rotated", "ours": "CERTIFIED", "dreal": "REFUSED", "statement": "H/(I−1) > 6.521845710923046575 for the n = 18 truth table: H = Σ ŵ log2(1/ŵ) over its 2770 nonzero Fourier weights (10 distinct), I = 261/128" }, { "kind": "door", "delta": "0.001", "claim": "entropy/optconst-71/hex-beyond-2n", "ours": "REFUSED", "dreal": "NO FORMULA", "statement": "the truth table sets a bit at or beyond 2^n = 262144: the object is not a function of n = 18 inputs, so there is no ratio to state" }, { "kind": "door", "delta": "1e-9", "claim": "entropy/optconst-71/hex-beyond-2n", "ours": "REFUSED", "dreal": "NO FORMULA", "statement": "the truth table sets a bit at or beyond 2^n = 262144: the object is not a function of n = 18 inputs, so there is no ratio to state" } ], "receipts": [ { "id": "ia-mais-4-2", "gate": "RECUSADO", "dreal": { "0.001": "RECUSADO", "1e-9": "RECUSADO" }, "agree": { "0.001": true, "1e-9": true }, "checks": [ { "check": "energia", "gate": "PROVADO", "claim": "flowline/energia/Pd206-claim352" }, { "check": "dominio", "gate": "PROVADO", "claim": "flowline/dominio/Q7000" }, { "check": "velocidade", "gate": "PROVADO", "claim": "flowline/velocidade/Q7000-max5" }, { "check": "modelo", "gate": "PROVADO", "claim": "flowline/modelo/Q7000-Pd206-claim352" }, { "check": "limite", "gate": "RECUSADO", "claim": "flowline/limite/Q7000-Pd206-max360" } ], "oursMs": { "local": 11.821041, "runner": 10.229776 } }, { "id": "ia-ajustada", "gate": "PROVADO", "dreal": { "0.001": "PROVADO", "1e-9": "PROVADO" }, "agree": { "0.001": true, "1e-9": true }, "checks": [ { "check": "energia", "gate": "PROVADO", "claim": "flowline/energia/Pd200-claim346" }, { "check": "dominio", "gate": "PROVADO", "claim": "flowline/dominio/Q7000" }, { "check": "velocidade", "gate": "PROVADO", "claim": "flowline/velocidade/Q7000-max5" }, { "check": "modelo", "gate": "PROVADO", "claim": "flowline/modelo/Q7000-Pd200-claim346" }, { "check": "limite", "gate": "PROVADO", "claim": "flowline/limite/Q7000-Pd200-max360" } ], "oursMs": { "local": 3.861792, "runner": 3.44935 } }, { "id": "parametro", "gate": "REFUTADO", "dreal": { "0.001": "REFUTADO", "1e-9": "REFUTADO" }, "agree": { "0.001": true, "1e-9": true }, "checks": [ { "check": "energia", "gate": "PROVADO", "claim": "flowline/energia/Pd180-claim350.9" }, { "check": "dominio", "gate": "PROVADO", "claim": "flowline/dominio/Q6000" }, { "check": "velocidade", "gate": "PROVADO", "claim": "flowline/velocidade/Q6000-max5" }, { "check": "modelo", "gate": "REFUTADO", "claim": "flowline/modelo/Q6000-Pd180-claim350.9" }, { "check": "limite", "gate": "PROVADO", "claim": "flowline/limite/Q6000-Pd180-max360" } ], "oursMs": { "local": 4.055084, "runner": 3.363804 } }, { "id": "massa", "gate": "REFUTADO", "dreal": { "0.001": "REFUTADO", "1e-9": "REFUTADO" }, "agree": { "0.001": true, "1e-9": true }, "checks": [ { "check": "massa", "gate": "REFUTADO", "claim": "flowline/massa/H12000-W6000+6400" }, { "check": "energia", "gate": "PROVADO", "claim": "flowline/energia/Pd180-claim344" }, { "check": "dominio", "gate": "PROVADO", "claim": "flowline/dominio/Q6000" }, { "check": "velocidade", "gate": "PROVADO", "claim": "flowline/velocidade/Q6000-max5" }, { "check": "modelo", "gate": "PROVADO", "claim": "flowline/modelo/Q6000-Pd180-claim344" }, { "check": "limite", "gate": "PROVADO", "claim": "flowline/limite/Q6000-Pd180-max360" } ], "oursMs": { "local": 3.807125, "runner": 3.51639 } }, { "id": "instabilidade", "gate": "REFUTADO", "dreal": { "0.001": "REFUTADO", "1e-9": 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} ] }