The formula
CCCCppqrCCsCrtCqCs
is easily
provable in BCI*: |
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1.
CCpqCCrpCrq
[B] 2. CCpCqrCqCpr [C] 3. CCppCqq [I*] D1.1 = 4. CCpCqrCpCCsqCsr D2.1 = 5. CCpqCCqrCpr D2.3 = 6. CpCCqqp D4.2 = 7. CCpCqrCCsqCsCpr D5.6 = 8. CCCCppqrCqr D7.7 = 9. CCpCqrCpCCsCrtCqCst D9.8 = 10. CCCCppqrCCsCrtCqCst [The axiom] |
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It, in turn, delivers B, C, and I*. My original derivation of the latter three from it runs 34 lines long (though I note that Larry Wos has since used OTTER to find a shorter (29-line) proof). |
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D1.1 D2.1 D2.3 D1.4 D5.3 D6.1 D2.7 D1.8 D2.9 D9.10 D11.11 D8.11 D12.12 D13.14 D1.14 D14.15 D16.13 D1.18 D19.17 D2.20 D21.21 D13.22 D23.23 D23.1 D1.24 D25.24 D26.27 D25.28 D14.29 D30.25 D31.31 D15.32 D14.33 |
= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = |
1.
CCCCppqrCCsCrtCqCst
[The axiom] 2. CCpCCCqCrsCCttCqsuCrCpu 3. CpCCCCqqrCssCrCCtCpuCtu 4. CpCqCCpCrrCCsCqtCst 5. CCpCCqCCCCrrsCttCCuCqvCuvwCsCpw 6. CCCCppqCrrCsCqCCtCsuCtu 7. CpCCqqCCrCpsCrs 8. CCppCqCCrCqsCrs 9. CCpCCqCCrCqsCrstCCuuCpt 10. CCppCCqCCrCCsCrtCstuCqu 11. CCppCCqqCCrCstCsCrt 12. CCppCCqCrsCrCqs 13. CpCCqCprCqr 14. CCpCqrCqCpr [Com] 15. CCpCCCqCrsCrCqstCpt 16. CCpCCqCCrrstCCqsCpt 17. CpCCpCCCqCrsCrCqstt 18. CCpqCCrrCpq 19. CCpCCCqqCCrrstCsCpt 20. CpCCqqp 21. CCppCqq [I*] 22. Cpp 23. CCpCCqqrCpr 24. CCCppCCqqrr 25. CCCCppqrCqCCrss 26. CCpCqrCCCssqCpr 27. CCCppqCCqrr 28. CCCppCqrCCCssqr 29. CCpqCCCCCrrpqss 30. CCCCCppqrsCCqrs 31. CCpqCpCCqrr 32. CCpqCCCpCCqrrss 33. CCpqCCqrCpr 34. CCpqCCrpCrq [B] |
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© Dolph Ulrich, 2007 |