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Passthrough HOL unifier when dealing with non-HOL problem - #1032

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mezpusz merged 2 commits into
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passthrough-hol-unifier-when-non-hol
Oct 24, 2026
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mezpusz merged 2 commits into
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passthrough-hol-unifier-when-non-hol

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@mezpusz

@mezpusz mezpusz commented Oct 21, 2026 •

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Alternative solution to #1030 that fixes #938. I cherry-picked the unit test from #1030.

I'm running an ALASCA regression to see if anything changed. FOL and HOL regressions showed no difference.

@mezpusz

mezpusz commented Oct 21, 2026

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ALASCA tests over SMTLIB show losing 109 instances probably all unsound previously:


run 0 unsat: 44701 (109) sat: 135 (0) cputime: 46390.70 s instructions: 182019577 Mi memory: 1134924.85 MB
run 1 unsat: 44592 (0) sat: 135 (0) cputime: 46610.98 s instructions: 182351496 Mi memory: 1135954.72 MB

run 0 uniquely proved: 109
SMT-LIB/flat/AUFNIRA::FFT::smtlib.635732.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.635849.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.645715.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.645857.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.653905.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.654080.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.659901.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.662069.smt2
SMT-LIB/flat/AUFNIRA::FFT::smtlib.671895.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.634134.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.636136.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.636226.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.638194.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.638333.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.640330.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.640466.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.647252.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.647389.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.649261.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.655748.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.661907.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.661994.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.663869.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.663953.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.673103.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.673310.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.685476.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.687448.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.697344.smt2
SMT-LIB/flat/AUFNIRA::FFT::z3.697561.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Arrow_Order::smtlib.564898.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1001678.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1002366.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1005475.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1006155.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1009249.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1009905.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1018649.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1019321.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1022406.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.1023044.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.551876.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.572506.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.595005.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.669415.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.669600.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.744184.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.959974.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.960184.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.963443.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.963878.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.964073.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.967139.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.967563.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.967752.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.997847.smt2
SMT-LIB/flat/UFLIA::sledgehammer::FFT::smtlib.998552.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.765745.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.766487.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.768041.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.774341.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.777364.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.780357.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.783350.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.786343.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.801690.smt2
SMT-LIB/flat/UFLIA::sledgehammer::Fundamental_Theorem_Algebra::smtlib.967849.smt2
SMT-LIB/flat/UFLIA::sledgehammer::TwoSquares::smtlib.626558.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1001796.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1002271.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1002488.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1005564.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1006248.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1009314.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1009970.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1018677.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1019353.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1022409.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.1023051.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.593908.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.601420.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.605575.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.742461.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.930847.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.934645.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.960252.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.963484.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.963922.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.964117.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.967167.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.967597.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.967786.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.998474.smt2
SMT-LIB/flat/UFNIA::sledgehammer::FFT::z3.998697.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.769072.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.769814.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.771761.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.777718.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.780741.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.783734.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.786727.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.789720.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.792711.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.795698.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.800351.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.805067.smt2
SMT-LIB/flat/UFNIA::sledgehammer::Fundamental_Theorem_Algebra::z3.807864.smt2
SMT-LIB/flat/UFNIA::sledgehammer::QEpres::z3.974759.smt2
SMT-LIB/flat/UFNIA::sledgehammer::TwoSquares::z3.625214.smt2

@MichaelRawson MichaelRawson left a comment

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Looks OK. Is the point that HOL and arithmetic is unsound?

@mezpusz

mezpusz commented Oct 21, 2026

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The HOL unifier was too eagerly applied even when it was not needed, but otherwise they shouldn't work together yet, that's probably another PhD...

@shalashaska117

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This looks cleaner to me, thanks for carrying over the regression test.

@mezpusz
mezpusz merged commit 7743386 into master Oct 24, 2026
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mezpusz deleted the passthrough-hol-unifier-when-non-hol branch October 24, 2026 06:35
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Unsound unsat caused by uwa=alasca_* without -alasca on

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