%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM318+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n029.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 : Mon Jul 18 15:54:51 EDT 2022

% Result   : Theorem 0.45s 0.64s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM318+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n029.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 : Thu Jul  7 07:02:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.45/0.64  (* PROOF-FOUND *)
% 0.45/0.64  % SZS status Theorem
% 0.45/0.64  (* BEGIN-PROOF *)
% 0.45/0.64  % SZS output start Proof
% 0.45/0.64  Theorem sum_n5_nn5_n0 : (sum (n5) (nn5) (n0)).
% 0.45/0.64  Proof.
% 0.45/0.64  assert (zenon_L1_ : (sum (n5) (nn5) (n0)) -> (~(difference (n0) (n5) (nn5))) -> False).
% 0.45/0.64  do 0 intro. intros zenon_H192 zenon_H193.
% 0.45/0.64  generalize (minus_entry_point (n0)). zenon_intro zenon_H194.
% 0.45/0.64  generalize (zenon_H194 (n5)). zenon_intro zenon_H195.
% 0.45/0.64  generalize (zenon_H195 (nn5)). zenon_intro zenon_H196.
% 0.45/0.64  apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ].
% 0.45/0.64  exact (zenon_G zenon_H192).
% 0.45/0.64  exact (zenon_H193 zenon_H197).
% 0.45/0.64  (* end of lemma zenon_L1_ *)
% 0.45/0.64  apply NNPP. intro zenon_G.
% 0.45/0.64  generalize (minus_entry_point (n0)). zenon_intro zenon_H194.
% 0.45/0.64  generalize (zenon_H194 (n5)). zenon_intro zenon_H195.
% 0.45/0.64  generalize (zenon_H195 (nn5)). zenon_intro zenon_H196.
% 0.45/0.64  apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ].
% 0.45/0.64  generalize (sum_entry_point_posx_negx (n5)). zenon_intro zenon_H198.
% 0.45/0.64  generalize (zenon_H198 (nn5)). zenon_intro zenon_H199.
% 0.45/0.64  generalize (zenon_H199 (rdnn (n5))). zenon_intro zenon_H19a.
% 0.45/0.64  apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H19b | zenon_intro zenon_H192 ].
% 0.45/0.64  apply (zenon_notand_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ].
% 0.45/0.64  exact (zenon_H19d rdn5).
% 0.45/0.64  exact (zenon_H19c rdnn5).
% 0.45/0.64  apply (zenon_L1_); trivial.
% 0.45/0.64  exact (zenon_G zenon_H192).
% 0.45/0.64  Qed.
% 0.45/0.64  % SZS output end Proof
% 0.45/0.64  (* END-PROOF *)
% 0.45/0.64  nodes searched: 3141
% 0.45/0.64  max branch formulas: 2427
% 0.45/0.64  proof nodes created: 82
% 0.45/0.64  formulas created: 37037
% 0.45/0.64  
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