TSTP Solution File: NUM326+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM326+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n028.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 15:54:54 EDT 2022

% Result   : Theorem 0.81s 1.00s
% Output   : Proof 0.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM326+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jul  6 09:43:22 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.81/1.00  (* PROOF-FOUND *)
% 0.81/1.00  % SZS status Theorem
% 0.81/1.00  (* BEGIN-PROOF *)
% 0.81/1.00  % SZS output start Proof
% 0.81/1.00  Theorem sum_what_nn5_n0 : (exists X : zenon_U, (sum X (nn5) (n0))).
% 0.81/1.00  Proof.
% 0.81/1.00  assert (zenon_L1_ : (sum (n5) (nn5) (n0)) -> (~(exists X : zenon_U, (sum X (nn5) (n0)))) -> False).
% 0.81/1.00  do 0 intro. intros zenon_H192 zenon_G.
% 0.81/1.00  generalize (minus_entry_point (n0)). zenon_intro zenon_H193.
% 0.81/1.00  generalize (zenon_H193 (n5)). zenon_intro zenon_H194.
% 0.81/1.00  generalize (zenon_H194 (nn5)). zenon_intro zenon_H195.
% 0.81/1.00  apply (zenon_equiv_s _ _ zenon_H195); [ zenon_intro zenon_H198; zenon_intro zenon_H197 | zenon_intro zenon_H192; zenon_intro zenon_H196 ].
% 0.81/1.00  exact (zenon_H198 zenon_H192).
% 0.81/1.00  apply zenon_G. exists (n5). apply NNPP. zenon_intro zenon_H198.
% 0.81/1.00  generalize (minus_entry_point (n0)). zenon_intro zenon_H193.
% 0.81/1.00  generalize (zenon_H193 (n5)). zenon_intro zenon_H194.
% 0.81/1.00  generalize (zenon_H194 (nn5)). zenon_intro zenon_H195.
% 0.81/1.00  apply (zenon_equiv_s _ _ zenon_H195); [ zenon_intro zenon_H198; zenon_intro zenon_H197 | zenon_intro zenon_H192; zenon_intro zenon_H196 ].
% 0.81/1.00  exact (zenon_H197 zenon_H196).
% 0.81/1.00  exact (zenon_H198 zenon_H192).
% 0.81/1.00  (* end of lemma zenon_L1_ *)
% 0.81/1.00  apply NNPP. intro zenon_G.
% 0.81/1.00  generalize (sum_entry_point_posx_negx (n5)). zenon_intro zenon_H199.
% 0.81/1.00  generalize (zenon_H199 (nn5)). zenon_intro zenon_H19a.
% 0.81/1.00  generalize (zenon_H19a (rdnn (n5))). zenon_intro zenon_H19b.
% 0.81/1.00  apply (zenon_imply_s _ _ zenon_H19b); [ zenon_intro zenon_H19c | zenon_intro zenon_H192 ].
% 0.81/1.00  apply (zenon_notand_s _ _ zenon_H19c); [ zenon_intro zenon_H19e | zenon_intro zenon_H19d ].
% 0.81/1.00  exact (zenon_H19e rdn5).
% 0.81/1.00  exact (zenon_H19d rdnn5).
% 0.81/1.00  apply (zenon_L1_); trivial.
% 0.81/1.00  Qed.
% 0.81/1.00  % SZS output end Proof
% 0.81/1.00  (* END-PROOF *)
% 0.81/1.00  nodes searched: 15476
% 0.81/1.00  max branch formulas: 5254
% 0.81/1.00  proof nodes created: 530
% 0.81/1.00  formulas created: 108668
% 0.81/1.00  
%------------------------------------------------------------------------------