TSTP Solution File: MED009+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% 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
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