TSTP Solution File: MED005+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : MED005+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 21:56:24 EDT 2022
% Result : Theorem 1.02s 1.20s
% Output : Proof 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MED005+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 01:29:44 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.02/1.20 (* PROOF-FOUND *)
% 1.02/1.20 % SZS status Theorem
% 1.02/1.20 (* BEGIN-PROOF *)
% 1.02/1.20 % SZS output start Proof
% 1.02/1.20 Theorem transs0s1 : (((s0 (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0))))->(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s1 X0)/\(forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1))))))).
% 1.02/1.20 Proof.
% 1.02/1.20 assert (zenon_L1_ : (gt (n0) (n0)) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H29.
% 1.02/1.20 generalize (irreflexivity_gt (n0)). zenon_intro zenon_H2a.
% 1.02/1.20 exact (zenon_H2a zenon_H29).
% 1.02/1.20 (* end of lemma zenon_L1_ *)
% 1.02/1.20 assert (zenon_L2_ : (~(~(gt (n0) (n0)))) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H2b.
% 1.02/1.20 apply zenon_H2b. zenon_intro zenon_H29.
% 1.02/1.20 apply (zenon_L1_); trivial.
% 1.02/1.20 (* end of lemma zenon_L2_ *)
% 1.02/1.20 assert (zenon_L3_ : ((drugbg (n0))/\(drugsu (n0))) -> (~(drugbg (n0))) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H2c zenon_H2d.
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 1.02/1.20 exact (zenon_H2d zenon_H2f).
% 1.02/1.20 (* end of lemma zenon_L3_ *)
% 1.02/1.20 assert (zenon_L4_ : ((s1 (n0))/\(~(qilt27 (n0)))) -> (~(s1 (n0))) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H30 zenon_H31.
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 1.02/1.20 exact (zenon_H31 zenon_H33).
% 1.02/1.20 (* end of lemma zenon_L4_ *)
% 1.02/1.20 assert (zenon_L5_ : (s0 (n0)) -> (s2 (n0)) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H34 zenon_H35.
% 1.02/1.20 generalize (xorstep3 (n0)). zenon_intro zenon_H36.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 1.02/1.20 exact (zenon_H38 zenon_H34).
% 1.02/1.20 exact (zenon_H37 zenon_H35).
% 1.02/1.20 (* end of lemma zenon_L5_ *)
% 1.02/1.20 assert (zenon_L6_ : (s0 (n0)) -> (s3 (n0)) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H34 zenon_H39.
% 1.02/1.20 generalize (xorstep4 (n0)). zenon_intro zenon_H3a.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H38 | zenon_intro zenon_H3b ].
% 1.02/1.20 exact (zenon_H38 zenon_H34).
% 1.02/1.20 exact (zenon_H3b zenon_H39).
% 1.02/1.20 (* end of lemma zenon_L6_ *)
% 1.02/1.20 assert (zenon_L7_ : (s0 (n0)) -> (forall X1 : zenon_U, ((~(gt (n0) X1))->(bsecretioni X1))) -> (~(s1 (n0))) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H34 zenon_H3c zenon_H31.
% 1.02/1.20 generalize (bgcomp (n0)). zenon_intro zenon_H3d.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H3e ].
% 1.02/1.20 generalize (step3 (n0)). zenon_intro zenon_H3f.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H37 | zenon_intro zenon_H2c ].
% 1.02/1.20 generalize (xorstep4 (n0)). zenon_intro zenon_H3a.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H38 | zenon_intro zenon_H3b ].
% 1.02/1.20 exact (zenon_H38 zenon_H34).
% 1.02/1.20 generalize (sucomp (n0)). zenon_intro zenon_H40.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 1.02/1.20 generalize (su_completion (n0)). zenon_intro zenon_H43.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 1.02/1.20 exact (zenon_H45 zenon_H3c).
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46.
% 1.02/1.20 generalize (zenon_H47 (n0)). zenon_intro zenon_H48.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H2b | zenon_intro zenon_H2e ].
% 1.02/1.20 apply (zenon_L2_); trivial.
% 1.02/1.20 exact (zenon_H42 zenon_H2e).
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H33. zenon_intro zenon_H4b.
% 1.02/1.20 exact (zenon_H31 zenon_H33).
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H35 | zenon_intro zenon_H39 ].
% 1.02/1.20 exact (zenon_H37 zenon_H35).
% 1.02/1.20 exact (zenon_H3b zenon_H39).
% 1.02/1.20 apply (zenon_L3_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H30 | zenon_intro zenon_H49 ].
% 1.02/1.20 apply (zenon_L4_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H35 | zenon_intro zenon_H39 ].
% 1.02/1.20 apply (zenon_L5_); trivial.
% 1.02/1.20 apply (zenon_L6_); trivial.
% 1.02/1.20 (* end of lemma zenon_L7_ *)
% 1.02/1.20 assert (zenon_L8_ : (forall X1 : zenon_U, ((~(gt (n0) X1))->(drugbg X1))) -> (~(drugbg (n0))) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H4c zenon_H2d.
% 1.02/1.20 generalize (zenon_H4c (n0)). zenon_intro zenon_H4d.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H2b | zenon_intro zenon_H2f ].
% 1.02/1.20 apply (zenon_L2_); trivial.
% 1.02/1.20 exact (zenon_H2d zenon_H2f).
% 1.02/1.20 (* end of lemma zenon_L8_ *)
% 1.02/1.20 assert (zenon_L9_ : forall (zenon_TX1_dc : zenon_U), (~(~(gt (n0) zenon_TX1_dc))) -> (~(gt (n0) zenon_TX1_dc)) -> False).
% 1.02/1.20 do 1 intro. intros zenon_H4e zenon_H4f.
% 1.02/1.20 exact (zenon_H4e zenon_H4f).
% 1.02/1.20 (* end of lemma zenon_L9_ *)
% 1.02/1.20 assert (zenon_L10_ : ((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))) -> (s0 (n0)) -> False).
% 1.02/1.20 do 0 intro. intros zenon_H51 zenon_H31 zenon_H34.
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H53. zenon_intro zenon_H52.
% 1.02/1.20 generalize (bgcomp (n0)). zenon_intro zenon_H3d.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H3e ].
% 1.02/1.20 generalize (bg_completion (n0)). zenon_intro zenon_H54.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H55 | zenon_intro zenon_H4c ].
% 1.02/1.20 apply (zenon_notallex_s (fun X1 : zenon_U => ((~(gt (n0) X1))->(~(releaselg X1)))) zenon_H55); [ zenon_intro zenon_H56; idtac ].
% 1.02/1.20 elim zenon_H56. zenon_intro zenon_TX1_dc. zenon_intro zenon_H57.
% 1.02/1.20 apply (zenon_notimply_s _ _ zenon_H57). zenon_intro zenon_H4f. zenon_intro zenon_H58.
% 1.02/1.20 apply zenon_H58. zenon_intro zenon_H59.
% 1.02/1.20 generalize (irreflexivity_gt zenon_TX1_dc). zenon_intro zenon_H5a.
% 1.02/1.20 generalize (liver_glucose zenon_TX1_dc). zenon_intro zenon_H5b.
% 1.02/1.20 generalize (zenon_H5b zenon_TX1_dc). zenon_intro zenon_H5c.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ].
% 1.02/1.20 exact (zenon_H5e zenon_H5a).
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ].
% 1.02/1.20 generalize (zenon_H53 zenon_TX1_dc). zenon_intro zenon_H61.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H4e | zenon_intro zenon_H62 ].
% 1.02/1.20 exact (zenon_H4e zenon_H4f).
% 1.02/1.20 exact (zenon_H60 zenon_H62).
% 1.02/1.20 exact (zenon_H5f zenon_H59).
% 1.02/1.20 apply (zenon_L8_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H30 | zenon_intro zenon_H49 ].
% 1.02/1.20 apply (zenon_L4_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H35 | zenon_intro zenon_H39 ].
% 1.02/1.20 apply (zenon_L5_); trivial.
% 1.02/1.20 apply (zenon_L6_); trivial.
% 1.02/1.20 (* end of lemma zenon_L10_ *)
% 1.02/1.20 apply NNPP. intro zenon_G.
% 1.02/1.20 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H64. zenon_intro zenon_H63.
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H34. zenon_intro zenon_H65.
% 1.02/1.20 apply zenon_H63. exists (n0). apply NNPP. zenon_intro zenon_H66.
% 1.02/1.20 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H2b | zenon_intro zenon_H67 ].
% 1.02/1.20 apply zenon_H2b. zenon_intro zenon_H29.
% 1.02/1.20 apply (zenon_L1_); trivial.
% 1.02/1.20 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H31 | zenon_intro zenon_H68 ].
% 1.02/1.20 generalize (trans_ax1 (n0)). zenon_intro zenon_H69.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ].
% 1.02/1.20 apply (zenon_notand_s _ _ zenon_H6b); [ zenon_intro zenon_H38 | zenon_intro zenon_H6c ].
% 1.02/1.20 exact (zenon_H38 zenon_H34).
% 1.02/1.20 apply zenon_H6c. zenon_intro zenon_H6d.
% 1.02/1.20 generalize (normo (n0)). zenon_intro zenon_H6e.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H6e); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ].
% 1.02/1.20 exact (zenon_H70 zenon_H6d).
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ].
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H3c. zenon_intro zenon_H73.
% 1.02/1.20 apply (zenon_L7_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ].
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 1.02/1.20 generalize (bgcomp (n0)). zenon_intro zenon_H3d.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H2d | zenon_intro zenon_H3e ].
% 1.02/1.20 generalize (bg_completion (n0)). zenon_intro zenon_H54.
% 1.02/1.20 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H55 | zenon_intro zenon_H4c ].
% 1.02/1.20 exact (zenon_H55 zenon_H77).
% 1.02/1.20 apply (zenon_L8_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H30 | zenon_intro zenon_H49 ].
% 1.02/1.20 apply (zenon_L4_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H35 | zenon_intro zenon_H39 ].
% 1.02/1.20 apply (zenon_L5_); trivial.
% 1.02/1.20 apply (zenon_L6_); trivial.
% 1.02/1.20 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H78 | zenon_intro zenon_H51 ].
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H79). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 1.02/1.20 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H3c. zenon_intro zenon_H65.
% 1.02/1.20 apply (zenon_L7_); trivial.
% 1.02/1.20 apply (zenon_L10_); trivial.
% 1.02/1.20 exact (zenon_H63 zenon_H6a).
% 1.02/1.20 exact (zenon_H68 zenon_H65).
% 1.02/1.20 Qed.
% 1.02/1.20 % SZS output end Proof
% 1.02/1.20 (* END-PROOF *)
% 1.02/1.20 nodes searched: 81978
% 1.02/1.20 max branch formulas: 3681
% 1.02/1.20 proof nodes created: 1551
% 1.02/1.20 formulas created: 49675
% 1.02/1.20
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