%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MED007+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 : Sun Jul 17 21:56:25 EDT 2022 % Result : Theorem 14.14s 14.37s % Output : Proof 14.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : MED007+1 : TPTP v8.1.0. Released v3.2.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 5 01:44:29 EDT 2022 % 0.13/0.35 % CPUTime : % 14.14/14.37 (* PROOF-FOUND *) % 14.14/14.37 % SZS status Theorem % 14.14/14.37 (* BEGIN-PROOF *) % 14.14/14.37 % SZS output start Proof % 14.14/14.37 Theorem transs1s2_qilt27 : (((s1 (n0))/\((forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))/\((~(bcapacitysn (n0)))/\(qilt27 (n0)))))->(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))). % 14.14/14.37 Proof. % 14.14/14.37 assert (zenon_L1_ : (gt (n0) (n0)) -> False). % 14.14/14.37 do 0 intro. intros zenon_H29. % 14.14/14.37 generalize (irreflexivity_gt (n0)). zenon_intro zenon_H2a. % 14.14/14.37 exact (zenon_H2a zenon_H29). % 14.14/14.37 (* end of lemma zenon_L1_ *) % 14.14/14.37 assert (zenon_L2_ : (((s1 (n0))/\(~(forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1)))))->(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1)))) -> (s1 (n0)) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H2b zenon_H2c zenon_H2d zenon_H2e. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 14.14/14.37 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 14.14/14.37 exact (zenon_H32 zenon_H2d). % 14.14/14.37 exact (zenon_H31 zenon_H2c). % 14.14/14.37 exact (zenon_H2e zenon_H2f). % 14.14/14.37 (* end of lemma zenon_L2_ *) % 14.14/14.37 assert (zenon_L3_ : (s1 (n0)) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1)))) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H2d zenon_H2c zenon_H2e. % 14.14/14.37 generalize (trans_ax2 (n0)). zenon_intro zenon_H2b. % 14.14/14.37 apply (zenon_L2_); trivial. % 14.14/14.37 (* end of lemma zenon_L3_ *) % 14.14/14.37 assert (zenon_L4_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))/\((bcapacitysn (n0))/\((qilt27 (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(bcapacitysn (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H33 zenon_H34. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H38. zenon_intro zenon_H37. % 14.14/14.37 exact (zenon_H34 zenon_H38). % 14.14/14.37 (* end of lemma zenon_L4_ *) % 14.14/14.37 assert (zenon_L5_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(~(releaselg X1))))/\((bcapacitysn (n0))/\((~(qilt27 (n0)))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(bcapacitysn (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H39 zenon_H34. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H38. zenon_intro zenon_H3c. % 14.14/14.37 exact (zenon_H34 zenon_H38). % 14.14/14.37 (* end of lemma zenon_L5_ *) % 14.14/14.37 assert (zenon_L6_ : (~(~(gt (n0) (n0)))) -> (~(gt (n0) (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H3d zenon_H2a. % 14.14/14.37 exact (zenon_H3d zenon_H2a). % 14.14/14.37 (* end of lemma zenon_L6_ *) % 14.14/14.37 assert (zenon_L7_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(drugbg X1))) -> (~(gt (n0) (n0))) -> (~(drugbg (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H3e zenon_H2a zenon_H3f. % 14.14/14.37 generalize (zenon_H3e (n0)). zenon_intro zenon_H40. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H3d | zenon_intro zenon_H41 ]. % 14.14/14.37 exact (zenon_H3d zenon_H2a). % 14.14/14.37 exact (zenon_H3f zenon_H41). % 14.14/14.37 (* end of lemma zenon_L7_ *) % 14.14/14.37 assert (zenon_L8_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(drugi X1))) -> (~(gt (n0) (n0))) -> (~(drugi (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H42 zenon_H2a zenon_H43. % 14.14/14.37 generalize (zenon_H42 (n0)). zenon_intro zenon_H44. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H3d | zenon_intro zenon_H45 ]. % 14.14/14.37 exact (zenon_H3d zenon_H2a). % 14.14/14.37 exact (zenon_H43 zenon_H45). % 14.14/14.37 (* end of lemma zenon_L8_ *) % 14.14/14.37 assert (zenon_L9_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))/\((bcapacitysn (n0))/\((qilt27 (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H33 zenon_H46. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35. % 14.14/14.37 exact (zenon_H46 zenon_H36). % 14.14/14.37 (* end of lemma zenon_L9_ *) % 14.14/14.37 assert (zenon_L10_ : (((forall X1 : zenon_U, ((~(gt (n0) X1))->(~(releaselg X1))))\/(forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1))))/\((bcapacityne (n0))/\((forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(bcapacityne (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H47 zenon_H48. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H4c. zenon_intro zenon_H4b. % 14.14/14.37 exact (zenon_H48 zenon_H4c). % 14.14/14.37 (* end of lemma zenon_L10_ *) % 14.14/14.37 assert (zenon_L11_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))/\((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1)))/\((bcapacityex (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H4d zenon_H4e. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H50. zenon_intro zenon_H4f. % 14.14/14.37 exact (zenon_H4e zenon_H50). % 14.14/14.37 (* end of lemma zenon_L11_ *) % 14.14/14.37 assert (zenon_L12_ : (~((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))\/(forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1))))) -> (~(bcapacityne (n0))) -> (~(bcapacitysn (n0))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1)))) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (s1 (n0)) -> False). % 14.14/14.37 do 0 intro. intros zenon_H51 zenon_H48 zenon_H34 zenon_H46 zenon_H2e zenon_H2d. % 14.14/14.37 apply (zenon_notor_s _ _ zenon_H51). zenon_intro zenon_H4e. zenon_intro zenon_H52. % 14.14/14.37 generalize (normo (n0)). zenon_intro zenon_H53. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H54 ]. % 14.14/14.37 apply (zenon_L3_); trivial. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H33 | zenon_intro zenon_H55 ]. % 14.14/14.37 apply (zenon_L9_); trivial. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H39 | zenon_intro zenon_H56 ]. % 14.14/14.37 apply (zenon_L5_); trivial. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H47 | zenon_intro zenon_H4d ]. % 14.14/14.37 apply (zenon_L10_); trivial. % 14.14/14.37 apply (zenon_L11_); trivial. % 14.14/14.37 (* end of lemma zenon_L12_ *) % 14.14/14.37 assert (zenon_L13_ : (s1 (n0)) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (~(bcapacitysn (n0))) -> (bcapacityex (n0)) -> False). % 14.14/14.37 do 0 intro. intros zenon_H2d zenon_H2e zenon_H34 zenon_H57. % 14.14/14.37 generalize (xorcapacity2 (n0)). zenon_intro zenon_H58. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H48 | zenon_intro zenon_H59 ]. % 14.14/14.37 generalize (su_completion (n0)). zenon_intro zenon_H5a. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H5a); [ zenon_intro zenon_H46 | zenon_intro zenon_H5b ]. % 14.14/14.37 generalize (xorstep6 (n0)). zenon_intro zenon_H5c. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H32 | zenon_intro zenon_H5d ]. % 14.14/14.37 exact (zenon_H32 zenon_H2d). % 14.14/14.37 generalize (insulincomp (n0)). zenon_intro zenon_H5e. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H43 | zenon_intro zenon_H5f ]. % 14.14/14.37 generalize (irreflexivity_gt (n0)). zenon_intro zenon_H2a. % 14.14/14.37 generalize (insulin_completion (n0)). zenon_intro zenon_H60. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H51 | zenon_intro zenon_H42 ]. % 14.14/14.37 apply (zenon_L12_); trivial. % 14.14/14.37 apply (zenon_L8_); trivial. % 14.14/14.37 exact (zenon_H5d zenon_H5f). % 14.14/14.37 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H61. zenon_intro zenon_H59. % 14.14/14.37 exact (zenon_H59 zenon_H57). % 14.14/14.37 exact (zenon_H59 zenon_H57). % 14.14/14.37 (* end of lemma zenon_L13_ *) % 14.14/14.37 assert (zenon_L14_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))/\((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1)))/\((bcapacityex (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (s1 (n0)) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (~(bcapacitysn (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H4d zenon_H2d zenon_H2e zenon_H34. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H50. zenon_intro zenon_H4f. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H63. zenon_intro zenon_H62. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H57. zenon_intro zenon_H64. % 14.14/14.37 apply (zenon_L13_); trivial. % 14.14/14.37 (* end of lemma zenon_L14_ *) % 14.14/14.37 assert (zenon_L15_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1))) -> (~(conditionnormo (n0))) -> False). % 14.14/14.37 do 0 intro. intros zenon_H65 zenon_H66. % 14.14/14.37 generalize (zenon_H65 (n0)). zenon_intro zenon_H67. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H3d | zenon_intro zenon_H68 ]. % 14.14/14.37 apply zenon_H3d. zenon_intro zenon_H29. % 14.14/14.37 apply (zenon_L1_); trivial. % 14.14/14.37 exact (zenon_H66 zenon_H68). % 14.14/14.37 (* end of lemma zenon_L15_ *) % 14.14/14.37 apply NNPP. intro zenon_G. % 14.14/14.37 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H69. zenon_intro zenon_H2e. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H2d. zenon_intro zenon_H6a. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H64. zenon_intro zenon_H6b. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H34. zenon_intro zenon_H6c. % 14.14/14.37 generalize (xorcapacity1 (n0)). zenon_intro zenon_H6d. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H4c | zenon_intro zenon_H6e ]. % 14.14/14.37 apply zenon_H2e. exists (n0). apply NNPP. zenon_intro zenon_H6f. % 14.14/14.37 apply (zenon_notand_s _ _ zenon_H6f); [ zenon_intro zenon_H3d | zenon_intro zenon_H70 ]. % 14.14/14.37 apply zenon_H3d. zenon_intro zenon_H29. % 14.14/14.37 apply (zenon_L1_); trivial. % 14.14/14.37 apply (zenon_notand_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 14.14/14.37 generalize (trans_ax2 (n0)). zenon_intro zenon_H2b. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 14.14/14.37 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 14.14/14.37 exact (zenon_H32 zenon_H2d). % 14.14/14.37 apply zenon_H31. zenon_intro zenon_H65. % 14.14/14.37 generalize (xorcondition3 (n0)). zenon_intro zenon_H73. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H74 | zenon_intro zenon_H66 ]. % 14.14/14.37 generalize (zenon_H64 (n0)). zenon_intro zenon_H75. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H75); [ zenon_intro zenon_H2a | zenon_intro zenon_H76 ]. % 14.14/14.37 generalize (normo (n0)). zenon_intro zenon_H53. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H54 ]. % 14.14/14.37 apply (zenon_L3_); trivial. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H33 | zenon_intro zenon_H55 ]. % 14.14/14.37 apply (zenon_L4_); trivial. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H39 | zenon_intro zenon_H56 ]. % 14.14/14.37 apply (zenon_L5_); trivial. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H47 | zenon_intro zenon_H4d ]. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H3b | zenon_intro zenon_H63 ]. % 14.14/14.37 generalize (xorstep6 (n0)). zenon_intro zenon_H5c. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H32 | zenon_intro zenon_H5d ]. % 14.14/14.37 exact (zenon_H32 zenon_H2d). % 14.14/14.37 generalize (bgcomp (n0)). zenon_intro zenon_H77. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H3f | zenon_intro zenon_H78 ]. % 14.14/14.37 generalize (bg_completion (n0)). zenon_intro zenon_H79. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_H7a | zenon_intro zenon_H3e ]. % 14.14/14.37 exact (zenon_H7a zenon_H3b). % 14.14/14.37 apply (zenon_L7_); trivial. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 14.14/14.37 apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H2d. zenon_intro zenon_H7d. % 14.14/14.37 exact (zenon_H7d zenon_H6c). % 14.14/14.37 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H7e | zenon_intro zenon_H5f ]. % 14.14/14.37 exact (zenon_H72 zenon_H7e). % 14.14/14.37 exact (zenon_H5d zenon_H5f). % 14.14/14.37 generalize (xorstep6 (n0)). zenon_intro zenon_H5c. % 14.14/14.37 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H32 | zenon_intro zenon_H5d ]. % 14.14/14.37 exact (zenon_H32 zenon_H2d). % 14.14/14.37 generalize (insulincomp (n0)). zenon_intro zenon_H5e. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H43 | zenon_intro zenon_H5f ]. % 14.14/14.37 generalize (insulin_completion (n0)). zenon_intro zenon_H60. % 14.14/14.37 apply (zenon_imply_s _ _ zenon_H60); [ zenon_intro zenon_H51 | zenon_intro zenon_H42 ]. % 14.14/14.38 apply (zenon_notor_s _ _ zenon_H51). zenon_intro zenon_H4e. zenon_intro zenon_H52. % 14.14/14.38 exact (zenon_H52 zenon_H63). % 14.14/14.38 apply (zenon_L8_); trivial. % 14.14/14.38 exact (zenon_H5d zenon_H5f). % 14.14/14.38 apply (zenon_L14_); trivial. % 14.14/14.38 exact (zenon_H74 zenon_H76). % 14.14/14.38 apply (zenon_L15_); trivial. % 14.14/14.38 exact (zenon_H2e zenon_H2f). % 14.14/14.38 apply (zenon_notand_s _ _ zenon_H71); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 14.14/14.38 exact (zenon_H80 zenon_H64). % 14.14/14.38 apply (zenon_notor_s _ _ zenon_H7f). zenon_intro zenon_H48. zenon_intro zenon_H59. % 14.14/14.38 exact (zenon_H48 zenon_H4c). % 14.14/14.38 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H57 | zenon_intro zenon_H38 ]. % 14.14/14.38 apply (zenon_L13_); trivial. % 14.14/14.38 exact (zenon_H34 zenon_H38). % 14.14/14.38 Qed. % 14.14/14.38 % SZS output end Proof % 14.14/14.38 (* END-PROOF *) % 14.14/14.38 nodes searched: 1462006 % 14.14/14.38 max branch formulas: 9927 % 14.14/14.38 proof nodes created: 16977 % 14.14/14.38 formulas created: 606397 % 14.14/14.38 %------------------------------------------------------------------------------