%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MED009+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 21:56:26 EDT 2022 % Result : Theorem 5.75s 5.92s % Output : Proof 5.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : MED009+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n011.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jul 5 01:46:22 EDT 2022 % 0.13/0.35 % CPUTime : % 5.75/5.92 (* PROOF-FOUND *) % 5.75/5.92 % SZS status Theorem % 5.75/5.92 (* BEGIN-PROOF *) % 5.75/5.92 % SZS output start Proof % 5.75/5.92 Theorem transs1s2_qige27 : (((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))))))). % 5.75/5.92 Proof. % 5.75/5.92 assert (zenon_L1_ : (((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). % 5.75/5.92 do 0 intro. intros zenon_H29 zenon_H2a zenon_H2b zenon_H2c. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 5.75/5.92 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 5.75/5.92 exact (zenon_H30 zenon_H2b). % 5.75/5.92 exact (zenon_H2f zenon_H2a). % 5.75/5.92 exact (zenon_H2c zenon_H2d). % 5.75/5.92 (* end of lemma zenon_L1_ *) % 5.75/5.92 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))))))) -> False). % 5.75/5.92 do 0 intro. intros zenon_H2b zenon_H2a zenon_H2c. % 5.75/5.92 generalize (trans_ax2 (n0)). zenon_intro zenon_H29. % 5.75/5.92 apply (zenon_L1_); trivial. % 5.75/5.92 (* end of lemma zenon_L2_ *) % 5.75/5.92 assert (zenon_L3_ : ((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). % 5.75/5.92 do 0 intro. intros zenon_H31 zenon_H32. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H36. zenon_intro zenon_H35. % 5.75/5.92 exact (zenon_H32 zenon_H36). % 5.75/5.92 (* end of lemma zenon_L3_ *) % 5.75/5.92 assert (zenon_L4_ : ((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). % 5.75/5.92 do 0 intro. intros zenon_H37 zenon_H32. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H39. zenon_intro zenon_H38. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H36. zenon_intro zenon_H3a. % 5.75/5.92 exact (zenon_H32 zenon_H36). % 5.75/5.92 (* end of lemma zenon_L4_ *) % 5.75/5.92 assert (zenon_L5_ : forall (zenon_TX1_cj : zenon_U), (~(~(gt (n0) zenon_TX1_cj))) -> (~(gt (n0) zenon_TX1_cj)) -> False). % 5.75/5.92 do 1 intro. intros zenon_H3b zenon_H3c. % 5.75/5.92 exact (zenon_H3b zenon_H3c). % 5.75/5.92 (* end of lemma zenon_L5_ *) % 5.75/5.92 assert (zenon_L6_ : (~(~(gt (n0) (n0)))) -> (~(gt (n0) (n0))) -> False). % 5.75/5.92 do 0 intro. intros zenon_H3e zenon_H3f. % 5.75/5.92 exact (zenon_H3e zenon_H3f). % 5.75/5.92 (* end of lemma zenon_L6_ *) % 5.75/5.92 assert (zenon_L7_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(drugi X1))) -> (~(gt (n0) (n0))) -> (~(drugi (n0))) -> False). % 5.75/5.92 do 0 intro. intros zenon_H40 zenon_H3f zenon_H41. % 5.75/5.92 generalize (zenon_H40 (n0)). zenon_intro zenon_H42. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H3e | zenon_intro zenon_H43 ]. % 5.75/5.92 exact (zenon_H3e zenon_H3f). % 5.75/5.92 exact (zenon_H41 zenon_H43). % 5.75/5.92 (* end of lemma zenon_L7_ *) % 5.75/5.92 assert (zenon_L8_ : (~(drugi (n0))) -> (forall X1 : zenon_U, ((~(gt (n0) X1))->(drugi X1))) -> False). % 5.75/5.92 do 0 intro. intros zenon_H41 zenon_H40. % 5.75/5.92 generalize (irreflexivity_gt (n0)). zenon_intro zenon_H3f. % 5.75/5.92 apply (zenon_L7_); trivial. % 5.75/5.92 (* end of lemma zenon_L8_ *) % 5.75/5.92 assert (zenon_L9_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(conditionnormo X1))) -> (~(conditionnormo (n0))) -> False). % 5.75/5.92 do 0 intro. intros zenon_H44 zenon_H45. % 5.75/5.92 generalize (zenon_H44 (n0)). zenon_intro zenon_H46. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H3e | zenon_intro zenon_H47 ]. % 5.75/5.92 apply zenon_H3e. zenon_intro zenon_H48. % 5.75/5.92 generalize (irreflexivity_gt (n0)). zenon_intro zenon_H3f. % 5.75/5.92 exact (zenon_H3f zenon_H48). % 5.75/5.92 exact (zenon_H45 zenon_H47). % 5.75/5.92 (* end of lemma zenon_L9_ *) % 5.75/5.92 assert (zenon_L10_ : ((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). % 5.75/5.92 do 0 intro. intros zenon_H31 zenon_H49. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33. % 5.75/5.92 exact (zenon_H49 zenon_H34). % 5.75/5.92 (* end of lemma zenon_L10_ *) % 5.75/5.92 assert (zenon_L11_ : (((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). % 5.75/5.92 do 0 intro. intros zenon_H4a zenon_H4b. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 5.75/5.92 exact (zenon_H4b zenon_H4f). % 5.75/5.92 (* end of lemma zenon_L11_ *) % 5.75/5.92 assert (zenon_L12_ : ((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). % 5.75/5.92 do 0 intro. intros zenon_H50 zenon_H51. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 5.75/5.92 exact (zenon_H51 zenon_H53). % 5.75/5.92 (* end of lemma zenon_L12_ *) % 5.75/5.92 assert (zenon_L13_ : (~((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). % 5.75/5.92 do 0 intro. intros zenon_H54 zenon_H4b zenon_H32 zenon_H49 zenon_H2c zenon_H2b. % 5.75/5.92 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H51. zenon_intro zenon_H55. % 5.75/5.92 generalize (normo (n0)). zenon_intro zenon_H56. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H56); [ zenon_intro zenon_H2a | zenon_intro zenon_H57 ]. % 5.75/5.92 apply (zenon_L2_); trivial. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H31 | zenon_intro zenon_H58 ]. % 5.75/5.92 apply (zenon_L10_); trivial. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H37 | zenon_intro zenon_H59 ]. % 5.75/5.92 apply (zenon_L4_); trivial. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H4a | zenon_intro zenon_H50 ]. % 5.75/5.92 apply (zenon_L11_); trivial. % 5.75/5.92 apply (zenon_L12_); trivial. % 5.75/5.92 (* end of lemma zenon_L13_ *) % 5.75/5.92 assert (zenon_L14_ : (s1 (n0)) -> (~(bcapacitysn (n0))) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> (bcapacityex (n0)) -> False). % 5.75/5.92 do 0 intro. intros zenon_H2b zenon_H32 zenon_H2c zenon_H5a. % 5.75/5.92 generalize (xorcapacity2 (n0)). zenon_intro zenon_H5b. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4b | zenon_intro zenon_H5c ]. % 5.75/5.92 generalize (su_completion (n0)). zenon_intro zenon_H5d. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H49 | zenon_intro zenon_H5e ]. % 5.75/5.92 generalize (xorstep6 (n0)). zenon_intro zenon_H5f. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H30 | zenon_intro zenon_H60 ]. % 5.75/5.92 exact (zenon_H30 zenon_H2b). % 5.75/5.92 generalize (insulincomp (n0)). zenon_intro zenon_H61. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H41 | zenon_intro zenon_H62 ]. % 5.75/5.92 generalize (insulin_completion (n0)). zenon_intro zenon_H63. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H54 | zenon_intro zenon_H40 ]. % 5.75/5.92 apply (zenon_L13_); trivial. % 5.75/5.92 apply (zenon_L8_); trivial. % 5.75/5.92 exact (zenon_H60 zenon_H62). % 5.75/5.92 apply (zenon_and_s _ _ zenon_H5e). zenon_intro zenon_H64. zenon_intro zenon_H5c. % 5.75/5.92 exact (zenon_H5c zenon_H5a). % 5.75/5.92 exact (zenon_H5c zenon_H5a). % 5.75/5.92 (* end of lemma zenon_L14_ *) % 5.75/5.92 assert (zenon_L15_ : ((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)) -> (~(bcapacitysn (n0))) -> (~(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s2 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\((bcapacityne X0)\/(bcapacityex X0))))))) -> False). % 5.75/5.92 do 0 intro. intros zenon_H50 zenon_H2b zenon_H32 zenon_H2c. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H66. zenon_intro zenon_H65. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H67. % 5.75/5.92 apply (zenon_L14_); trivial. % 5.75/5.92 (* end of lemma zenon_L15_ *) % 5.75/5.92 apply NNPP. intro zenon_G. % 5.75/5.92 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H68. zenon_intro zenon_H2c. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H2b. zenon_intro zenon_H69. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H67. zenon_intro zenon_H6a. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H32. zenon_intro zenon_H6b. % 5.75/5.92 generalize (trans_ax2 (n0)). zenon_intro zenon_H29. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 5.75/5.92 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 5.75/5.92 exact (zenon_H30 zenon_H2b). % 5.75/5.92 apply zenon_H2f. zenon_intro zenon_H44. % 5.75/5.92 generalize (normo (n0)). zenon_intro zenon_H56. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H56); [ zenon_intro zenon_H2a | zenon_intro zenon_H57 ]. % 5.75/5.92 apply (zenon_L2_); trivial. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H31 | zenon_intro zenon_H58 ]. % 5.75/5.92 apply (zenon_L3_); trivial. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H37 | zenon_intro zenon_H59 ]. % 5.75/5.92 apply (zenon_L4_); trivial. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H4a | zenon_intro zenon_H50 ]. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 5.75/5.92 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H34. zenon_intro zenon_H67. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H39 | zenon_intro zenon_H66 ]. % 5.75/5.92 generalize (xorstep6 (n0)). zenon_intro zenon_H5f. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H30 | zenon_intro zenon_H60 ]. % 5.75/5.92 exact (zenon_H30 zenon_H2b). % 5.75/5.92 generalize (insulincomp (n0)). zenon_intro zenon_H61. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H41 | zenon_intro zenon_H62 ]. % 5.75/5.92 generalize (insulin_completion (n0)). zenon_intro zenon_H63. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H54 | zenon_intro zenon_H40 ]. % 5.75/5.92 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H51. zenon_intro zenon_H55. % 5.75/5.92 apply (zenon_notallex_s (fun X1 : zenon_U => ((~(gt (n0) X1))->(uptakelg X1))) zenon_H51); [ zenon_intro zenon_H6c; idtac ]. % 5.75/5.92 elim zenon_H6c. zenon_intro zenon_TX1_cj. zenon_intro zenon_H6d. % 5.75/5.92 apply (zenon_notimply_s _ _ zenon_H6d). zenon_intro zenon_H3c. zenon_intro zenon_H6e. % 5.75/5.92 generalize (irreflexivity_gt zenon_TX1_cj). zenon_intro zenon_H6f. % 5.75/5.92 generalize (uptake_completion zenon_TX1_cj). zenon_intro zenon_H70. % 5.75/5.92 generalize (zenon_H70 zenon_TX1_cj). zenon_intro zenon_H71. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 5.75/5.92 exact (zenon_H73 zenon_H6f). % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 5.75/5.92 apply zenon_H75. zenon_intro zenon_H76. % 5.75/5.92 generalize (zenon_H39 zenon_TX1_cj). zenon_intro zenon_H77. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H77); [ zenon_intro zenon_H3b | zenon_intro zenon_H78 ]. % 5.75/5.92 exact (zenon_H3b zenon_H3c). % 5.75/5.92 exact (zenon_H78 zenon_H76). % 5.75/5.92 exact (zenon_H6e zenon_H74). % 5.75/5.92 apply (zenon_L8_); trivial. % 5.75/5.92 exact (zenon_H60 zenon_H62). % 5.75/5.92 generalize (xorcondition3 (n0)). zenon_intro zenon_H79. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7a | zenon_intro zenon_H45 ]. % 5.75/5.92 generalize (zenon_H67 (n0)). zenon_intro zenon_H7b. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H7b); [ zenon_intro zenon_H3f | zenon_intro zenon_H7c ]. % 5.75/5.92 generalize (xorstep6 (n0)). zenon_intro zenon_H5f. % 5.75/5.92 apply (zenon_or_s _ _ zenon_H5f); [ zenon_intro zenon_H30 | zenon_intro zenon_H60 ]. % 5.75/5.92 exact (zenon_H30 zenon_H2b). % 5.75/5.92 generalize (insulincomp (n0)). zenon_intro zenon_H61. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H41 | zenon_intro zenon_H62 ]. % 5.75/5.92 generalize (insulin_completion (n0)). zenon_intro zenon_H63. % 5.75/5.92 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H54 | zenon_intro zenon_H40 ]. % 5.75/5.92 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H51. zenon_intro zenon_H55. % 5.75/5.92 exact (zenon_H55 zenon_H66). % 5.75/5.92 apply (zenon_L7_); trivial. % 5.75/5.92 exact (zenon_H60 zenon_H62). % 5.75/5.92 exact (zenon_H7a zenon_H7c). % 5.75/5.92 apply (zenon_L9_); trivial. % 5.75/5.92 apply (zenon_L15_); trivial. % 5.75/5.92 exact (zenon_H2c zenon_H2d). % 5.75/5.92 Qed. % 5.75/5.92 % SZS output end Proof % 5.75/5.92 (* END-PROOF *) % 5.75/5.92 nodes searched: 709283 % 5.75/5.92 max branch formulas: 5717 % 5.75/5.92 proof nodes created: 11346 % 5.75/5.92 formulas created: 330370 % 5.75/5.92 %------------------------------------------------------------------------------