%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:31:05 EDT 2022 % Result : Theorem 0.60s 0.83s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ALG194+1 : TPTP v8.1.0. Released v2.7.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n026.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Wed Jun 8 03:46:16 EDT 2022 % 0.12/0.33 % CPUTime : % 0.60/0.83 (* PROOF-FOUND *) % 0.60/0.83 % SZS status Theorem % 0.60/0.83 (* BEGIN-PROOF *) % 0.60/0.83 % SZS output start Proof % 0.60/0.83 Theorem co1 : (((~((op (e0) (e0)) = (e0)))/\((~((op (e1) (e1)) = (e1)))/\((~((op (e2) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e3)))/\((~((op (e4) (e4)) = (e4)))/\((~((op (e5) (e5)) = (e5)))/\(~((op (e6) (e6)) = (e6)))))))))\/((((op (e0) (e0)) = (e0))/\(((op (e1) (e1)) = (e1))/\(((op (e2) (e2)) = (e2))/\(((op (e3) (e3)) = (e3))/\(((op (e4) (e4)) = (e4))/\(((op (e5) (e5)) = (e5))/\((op (e6) (e6)) = (e6))))))))\/((((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))/\((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))))). % 0.60/0.83 Proof. % 0.60/0.83 assert (zenon_L1_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e0) (e0)) = (e0)) -> False). % 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H7. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.60/0.83 exact (zenon_H9 zenon_H7). % 0.60/0.83 (* end of lemma zenon_L1_ *) % 0.60/0.83 assert (zenon_L2_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e1) (e1)) = (e1))) -> False). % 0.60/0.83 do 0 intro. intros zenon_Ha zenon_Hb. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.60/0.83 exact (zenon_Hf zenon_Hb). % 0.60/0.83 (* end of lemma zenon_L2_ *) % 0.60/0.83 assert (zenon_L3_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e2) (e2)) = (e2))) -> False). % 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H10. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.60/0.83 exact (zenon_H12 zenon_H10). % 0.60/0.83 (* end of lemma zenon_L3_ *) % 0.60/0.83 assert (zenon_L4_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e3) (e3)) = (e3))) -> False). % 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H13. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.60/0.83 exact (zenon_H15 zenon_H13). % 0.60/0.83 (* end of lemma zenon_L4_ *) % 0.60/0.83 assert (zenon_L5_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e4) (e4)) = (e4))) -> False). % 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H16. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.60/0.83 exact (zenon_H18 zenon_H16). % 0.60/0.83 (* end of lemma zenon_L5_ *) % 0.60/0.83 assert (zenon_L6_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e5) (e5)) = (e5))) -> False). % 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H19. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H17). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.60/0.83 exact (zenon_H1b zenon_H19). % 0.60/0.83 (* end of lemma zenon_L6_ *) % 0.60/0.83 assert (zenon_L7_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e6) (e6)) = (e6))) -> False). % 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H1c. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H17). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.60/0.83 exact (zenon_H1a zenon_H1c). % 0.60/0.83 (* end of lemma zenon_L7_ *) % 0.60/0.83 assert (zenon_L8_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e1) (e1)) = (e1)) -> False). % 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H1d. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e. % 0.60/0.83 exact (zenon_Hb zenon_H1d). % 0.60/0.83 (* end of lemma zenon_L8_ *) % 0.60/0.83 assert (zenon_L9_ : (~((~((op (e0) (e0)) = (e0)))\/((~((op (e1) (e1)) = (e1)))\/((~((op (e2) (e2)) = (e2)))\/((~((op (e3) (e3)) = (e3)))\/((~((op (e4) (e4)) = (e4)))\/((~((op (e5) (e5)) = (e5)))\/(~((op (e6) (e6)) = (e6)))))))))) -> (~((op (e0) (e0)) = (e0))) -> False). % 0.60/0.83 do 0 intro. intros zenon_Ha zenon_H9. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.83 exact (zenon_Hd zenon_H9). % 0.60/0.83 (* end of lemma zenon_L9_ *) % 0.60/0.83 assert (zenon_L10_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e2) (e2)) = (e2)) -> False). % 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H1f. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20. % 0.60/0.83 exact (zenon_H10 zenon_H1f). % 0.60/0.83 (* end of lemma zenon_L10_ *) % 0.60/0.83 assert (zenon_L11_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e3) (e3)) = (e3)) -> False). % 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H21. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.60/0.83 exact (zenon_H13 zenon_H21). % 0.60/0.83 (* end of lemma zenon_L11_ *) % 0.60/0.83 assert (zenon_L12_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e4) (e4)) = (e4)) -> False). % 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H23. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H24. % 0.60/0.83 exact (zenon_H16 zenon_H23). % 0.60/0.83 (* end of lemma zenon_L12_ *) % 0.60/0.83 assert (zenon_L13_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e5) (e5)) = (e5)) -> False). % 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H25. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H24. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H19. zenon_intro zenon_H1c. % 0.60/0.83 exact (zenon_H19 zenon_H25). % 0.60/0.83 (* end of lemma zenon_L13_ *) % 0.60/0.83 assert (zenon_L14_ : (~(((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e3))\/(((op (e4) (e4)) = (e4))\/(((op (e5) (e5)) = (e5))\/((op (e6) (e6)) = (e6))))))))) -> ((op (e6) (e6)) = (e6)) -> False). % 0.60/0.83 do 0 intro. intros zenon_H6 zenon_H26. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_H1e. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H1e). zenon_intro zenon_H10. zenon_intro zenon_H20. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H20). zenon_intro zenon_H13. zenon_intro zenon_H22. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H22). zenon_intro zenon_H16. zenon_intro zenon_H24. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H19. zenon_intro zenon_H1c. % 0.60/0.83 exact (zenon_H1c zenon_H26). % 0.60/0.83 (* end of lemma zenon_L14_ *) % 0.60/0.83 apply NNPP. intro zenon_G. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H28. zenon_intro zenon_H27. % 0.60/0.83 apply (zenon_notor_s _ _ zenon_H27). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_Hd | zenon_intro zenon_H2b ]. % 0.60/0.83 apply zenon_Hd. zenon_intro zenon_H7. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ]. % 0.60/0.83 exact (zenon_H9 zenon_H7). % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L1_); trivial. % 0.60/0.83 apply (zenon_L2_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L1_); trivial. % 0.60/0.83 apply (zenon_L3_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L1_); trivial. % 0.60/0.83 apply (zenon_L4_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L1_); trivial. % 0.60/0.83 apply (zenon_L5_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L1_); trivial. % 0.60/0.83 apply (zenon_L6_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L1_); trivial. % 0.60/0.83 apply (zenon_L7_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_Hf | zenon_intro zenon_H31 ]. % 0.60/0.83 apply zenon_Hf. zenon_intro zenon_H1d. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L8_); trivial. % 0.60/0.83 apply (zenon_L9_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.60/0.83 exact (zenon_Hb zenon_H1d). % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L8_); trivial. % 0.60/0.83 apply (zenon_L3_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L8_); trivial. % 0.60/0.83 apply (zenon_L4_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L8_); trivial. % 0.60/0.83 apply (zenon_L5_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L8_); trivial. % 0.60/0.83 apply (zenon_L6_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L8_); trivial. % 0.60/0.83 apply (zenon_L7_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H31); [ zenon_intro zenon_H12 | zenon_intro zenon_H32 ]. % 0.60/0.83 apply zenon_H12. zenon_intro zenon_H1f. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L10_); trivial. % 0.60/0.83 apply (zenon_L9_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L10_); trivial. % 0.60/0.83 apply (zenon_L2_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ]. % 0.60/0.83 exact (zenon_H10 zenon_H1f). % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L10_); trivial. % 0.60/0.83 apply (zenon_L4_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L10_); trivial. % 0.60/0.83 apply (zenon_L5_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L10_); trivial. % 0.60/0.83 apply (zenon_L6_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L10_); trivial. % 0.60/0.83 apply (zenon_L7_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H15 | zenon_intro zenon_H33 ]. % 0.60/0.83 apply zenon_H15. zenon_intro zenon_H21. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L11_); trivial. % 0.60/0.83 apply (zenon_L9_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L11_); trivial. % 0.60/0.83 apply (zenon_L2_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L11_); trivial. % 0.60/0.83 apply (zenon_L3_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ]. % 0.60/0.83 exact (zenon_H13 zenon_H21). % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L11_); trivial. % 0.60/0.83 apply (zenon_L5_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L11_); trivial. % 0.60/0.83 apply (zenon_L6_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L11_); trivial. % 0.60/0.83 apply (zenon_L7_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H33); [ zenon_intro zenon_H18 | zenon_intro zenon_H34 ]. % 0.60/0.83 apply zenon_H18. zenon_intro zenon_H23. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L12_); trivial. % 0.60/0.83 apply (zenon_L9_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L12_); trivial. % 0.60/0.83 apply (zenon_L2_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L12_); trivial. % 0.60/0.83 apply (zenon_L3_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L12_); trivial. % 0.60/0.83 apply (zenon_L4_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.60/0.83 exact (zenon_H16 zenon_H23). % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L12_); trivial. % 0.60/0.83 apply (zenon_L6_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L12_); trivial. % 0.60/0.83 apply (zenon_L7_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.60/0.83 apply zenon_H1b. zenon_intro zenon_H25. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L13_); trivial. % 0.60/0.83 apply (zenon_L9_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L13_); trivial. % 0.60/0.83 apply (zenon_L2_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L13_); trivial. % 0.60/0.83 apply (zenon_L3_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L13_); trivial. % 0.60/0.83 apply (zenon_L4_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L13_); trivial. % 0.60/0.83 apply (zenon_L5_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ]. % 0.60/0.83 exact (zenon_H19 zenon_H25). % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L13_); trivial. % 0.60/0.83 apply (zenon_L7_); trivial. % 0.60/0.83 apply zenon_H1a. zenon_intro zenon_H26. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L14_); trivial. % 0.60/0.83 apply (zenon_L9_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_Hb | zenon_intro zenon_H2d ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L14_); trivial. % 0.60/0.83 apply (zenon_L2_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H10 | zenon_intro zenon_H2e ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L14_); trivial. % 0.60/0.83 apply (zenon_L3_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H13 | zenon_intro zenon_H2f ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L14_); trivial. % 0.60/0.83 apply (zenon_L4_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H2f); [ zenon_intro zenon_H16 | zenon_intro zenon_H30 ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L14_); trivial. % 0.60/0.83 apply (zenon_L5_); trivial. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H19 | zenon_intro zenon_H1c ]. % 0.60/0.83 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H6 | zenon_intro zenon_Ha ]. % 0.60/0.83 apply (zenon_L14_); trivial. % 0.60/0.83 apply (zenon_L6_); trivial. % 0.60/0.83 exact (zenon_H1c zenon_H26). % 0.60/0.83 Qed. % 0.60/0.83 % SZS output end Proof % 0.60/0.83 (* END-PROOF *) % 0.60/0.83 nodes searched: 91 % 0.60/0.83 max branch formulas: 529 % 0.60/0.83 proof nodes created: 86 % 0.60/0.83 formulas created: 12079 % 0.60/0.83 %------------------------------------------------------------------------------