TSTP Solution File: MED010+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : MED010+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n007.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 30.43s 30.63s
% Output   : Proof 30.43s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : MED010+1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command  : run_zenon %s %d
% 0.13/0.35  % Computer : n007.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 01:22:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 30.43/30.63  (* PROOF-FOUND *)
% 30.43/30.63  % SZS status Theorem
% 30.43/30.63  (* BEGIN-PROOF *)
% 30.43/30.63  % SZS output start Proof
% 30.43/30.63  Theorem unsuccesfuls2 : (((s2 (n0))/\((forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))/\(bcapacityex (n0))))->(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s3 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\(bcapacityex X0)))))).
% 30.43/30.63  Proof.
% 30.43/30.63  assert (zenon_L1_ : ((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).
% 30.43/30.63  do 0 intro. intros zenon_H29 zenon_H2a.
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 30.43/30.63  exact (zenon_H2a zenon_H2c).
% 30.43/30.63  (* end of lemma zenon_L1_ *)
% 30.43/30.63  assert (zenon_L2_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(drugsu X1)))/\(~(bcapacityex (n0)))) -> (bcapacityex (n0)) -> False).
% 30.43/30.63  do 0 intro. intros zenon_H2d zenon_H2e.
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 30.43/30.63  exact (zenon_H2f zenon_H2e).
% 30.43/30.63  (* end of lemma zenon_L2_ *)
% 30.43/30.63  apply NNPP. intro zenon_G.
% 30.43/30.63  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H2e.
% 30.43/30.63  apply zenon_H31. exists (n0). apply NNPP. zenon_intro zenon_H36.
% 30.43/30.63  apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 30.43/30.63  apply zenon_H38. zenon_intro zenon_H39.
% 30.43/30.63  generalize (irreflexivity_gt (n0)). zenon_intro zenon_H3a.
% 30.43/30.63  exact (zenon_H3a zenon_H39).
% 30.43/30.63  apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 30.43/30.63  generalize (xorcapacity2 (n0)). zenon_intro zenon_H3d.
% 30.43/30.63  apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H3e | zenon_intro zenon_H2f ].
% 30.43/30.63  generalize (su_completion (n0)). zenon_intro zenon_H3f.
% 30.43/30.63  apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H2d ].
% 30.43/30.63  generalize (insulincomp (n0)). zenon_intro zenon_H41.
% 30.43/30.63  apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 30.43/30.63  generalize (irreflexivity_gt (n0)). zenon_intro zenon_H3a.
% 30.43/30.63  generalize (insulin_completion (n0)). zenon_intro zenon_H44.
% 30.43/30.63  apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 30.43/30.63  apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H2a. zenon_intro zenon_H47.
% 30.43/30.63  generalize (normo (n0)). zenon_intro zenon_H48.
% 30.43/30.63  apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 30.43/30.63  generalize (trans_ax3 (n0)). zenon_intro zenon_H4b.
% 30.43/30.63  apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ].
% 30.43/30.63  apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 30.43/30.63  exact (zenon_H4f zenon_H34).
% 30.43/30.63  exact (zenon_H4e zenon_H4a).
% 30.43/30.63  exact (zenon_H31 zenon_H4c).
% 30.43/30.63  apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H53. zenon_intro zenon_H52.
% 30.43/30.63  exact (zenon_H40 zenon_H53).
% 30.43/30.63  apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ].
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H57. zenon_intro zenon_H56.
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58.
% 30.43/30.63  generalize (xorcapacity4 (n0)). zenon_intro zenon_H5a.
% 30.43/30.63  apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H2f | zenon_intro zenon_H5b ].
% 30.43/30.63  exact (zenon_H2f zenon_H2e).
% 30.43/30.63  exact (zenon_H5b zenon_H59).
% 30.43/30.63  apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H5c | zenon_intro zenon_H29 ].
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H5e. zenon_intro zenon_H5d.
% 30.43/30.63  apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f.
% 30.43/30.63  exact (zenon_H3e zenon_H60).
% 30.43/30.63  apply (zenon_L1_); trivial.
% 30.43/30.63  generalize (zenon_H45 (n0)). zenon_intro zenon_H61.
% 30.43/30.63  apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H38 | zenon_intro zenon_H62 ].
% 30.43/30.63  exact (zenon_H38 zenon_H3a).
% 30.43/30.63  exact (zenon_H43 zenon_H62).
% 30.43/30.63  exact (zenon_H3c zenon_H42).
% 30.43/30.64  apply (zenon_L2_); trivial.
% 30.43/30.64  exact (zenon_H2f zenon_H2e).
% 30.43/30.64  apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H63 | zenon_intro zenon_H2f ].
% 30.43/30.64  exact (zenon_H63 zenon_H35).
% 30.43/30.64  exact (zenon_H2f zenon_H2e).
% 30.43/30.64  Qed.
% 30.43/30.64  % SZS output end Proof
% 30.43/30.64  (* END-PROOF *)
% 30.43/30.64  nodes searched: 1368254
% 30.43/30.64  max branch formulas: 7469
% 30.43/30.64  proof nodes created: 22900
% 30.43/30.64  formulas created: 641904
% 30.43/30.64  
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