TSTP Solution File: NUM299+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NUM299+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 15:54:45 EDT 2022

% Result   : Theorem 29.38s 29.57s
% Output   : Proof 29.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem  : NUM299+1 : TPTP v8.1.0. Released v3.1.0.
% 0.05/0.11  % Command  : run_zenon %s %d
% 0.11/0.30  % Computer : n028.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Tue Jul  5 18:27:36 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 29.38/29.57  (* PROOF-FOUND *)
% 29.38/29.57  % SZS status Theorem
% 29.38/29.57  (* BEGIN-PROOF *)
% 29.38/29.57  % SZS output start Proof
% 29.38/29.57  Theorem nn2_not_less_nn4 : (~(less (nn2) (nn4))).
% 29.38/29.57  Proof.
% 29.38/29.57  assert (zenon_L1_ : (forall RDN_Y : zenon_U, (((rdn_translate (nn4) (rdn_neg (rdnn (n4))))/\((rdn_translate (nn2) (rdn_neg RDN_Y))/\(rdn_positive_less RDN_Y (rdnn (n4)))))->(less (nn4) (nn2)))) -> (rdn_positive_less (rdnn (n2)) (rdnn (n4))) -> (~(less (nn4) (nn2))) -> False).
% 29.38/29.57  do 0 intro. intros zenon_H192 zenon_H193 zenon_H194.
% 29.38/29.57  generalize (zenon_H192 (rdnn (n2))). zenon_intro zenon_H195.
% 29.38/29.57  apply (zenon_imply_s _ _ zenon_H195); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ].
% 29.38/29.57  apply (zenon_notand_s _ _ zenon_H197); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ].
% 29.38/29.57  exact (zenon_H199 rdnn4).
% 29.38/29.57  apply (zenon_notand_s _ _ zenon_H198); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ].
% 29.38/29.57  exact (zenon_H19b rdnn2).
% 29.38/29.57  exact (zenon_H19a zenon_H193).
% 29.38/29.57  exact (zenon_H194 zenon_H196).
% 29.38/29.57  (* end of lemma zenon_L1_ *)
% 29.38/29.57  apply NNPP. intro zenon_G.
% 29.38/29.57  apply zenon_G. zenon_intro zenon_H19c.
% 29.38/29.57  generalize (less_property (nn4)). zenon_intro zenon_H19d.
% 29.38/29.57  generalize (zenon_H19d (nn2)). zenon_intro zenon_H19e.
% 29.38/29.57  apply (zenon_equiv_s _ _ zenon_H19e); [ zenon_intro zenon_H194; zenon_intro zenon_H1a0 | zenon_intro zenon_H196; zenon_intro zenon_H19f ].
% 29.38/29.57  generalize (less_entry_point_neg_neg (nn4)). zenon_intro zenon_H1a1.
% 29.38/29.57  generalize (zenon_H1a1 (nn2)). zenon_intro zenon_H1a2.
% 29.38/29.57  generalize (zenon_H1a2 (rdnn (n4))). zenon_intro zenon_H192.
% 29.38/29.57  generalize (rdn_positive_less_transitivity (n2)). zenon_intro zenon_H1a3.
% 29.38/29.57  generalize (zenon_H1a3 (n3)). zenon_intro zenon_H1a4.
% 29.38/29.57  generalize (zenon_H1a4 (n4)). zenon_intro zenon_H1a5.
% 29.38/29.57  apply (zenon_imply_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H193 ].
% 29.38/29.57  apply (zenon_notand_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ].
% 29.38/29.57  exact (zenon_H1a8 rdn_positive_less23).
% 29.38/29.57  exact (zenon_H1a7 rdn_positive_less34).
% 29.38/29.57  apply (zenon_L1_); trivial.
% 29.38/29.57  apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H1aa. zenon_intro zenon_H1a9.
% 29.38/29.57  exact (zenon_H1aa zenon_H19c).
% 29.38/29.57  Qed.
% 29.38/29.57  % SZS output end Proof
% 29.38/29.57  (* END-PROOF *)
% 29.38/29.57  nodes searched: 3583862
% 29.38/29.57  max branch formulas: 26259
% 29.38/29.57  proof nodes created: 8573
% 29.38/29.57  formulas created: 782049
% 29.38/29.57  
%------------------------------------------------------------------------------