TSTP Solution File: SYN969+1 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n017.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 : Thu Jul 21 13:56:45 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN969+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 12:12:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.50  (* PROOF-FOUND *)
% 0.19/0.50  % SZS status Theorem
% 0.19/0.50  (* BEGIN-PROOF *)
% 0.19/0.50  % SZS output start Proof
% 0.19/0.50  Theorem prove_this : (forall B : zenon_U, (((forall X : zenon_U, ((p X)->(q X)))/\(r B))->((forall Y : zenon_U, ((r Y)->(p Y)))->(q B)))).
% 0.19/0.50  Proof.
% 0.19/0.50  apply NNPP. intro zenon_G.
% 0.19/0.50  apply (zenon_notallex_s (fun B : zenon_U => (((forall X : zenon_U, ((p X)->(q X)))/\(r B))->((forall Y : zenon_U, ((r Y)->(p Y)))->(q B)))) zenon_G); [ zenon_intro zenon_H1; idtac ].
% 0.19/0.50  elim zenon_H1. zenon_intro zenon_TB_c. zenon_intro zenon_H3.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.19/0.50  apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.19/0.50  apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.19/0.50  generalize (zenon_H9 zenon_TB_c). zenon_intro zenon_Ha.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ].
% 0.19/0.50  generalize (zenon_H7 zenon_TB_c). zenon_intro zenon_Hd.
% 0.19/0.50  apply (zenon_imply_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.19/0.50  exact (zenon_Hf zenon_H8).
% 0.19/0.50  exact (zenon_Hc zenon_He).
% 0.19/0.50  exact (zenon_H6 zenon_Hb).
% 0.19/0.50  Qed.
% 0.19/0.50  % SZS output end Proof
% 0.19/0.50  (* END-PROOF *)
% 0.19/0.50  nodes searched: 16
% 0.19/0.50  max branch formulas: 17
% 0.19/0.50  proof nodes created: 9
% 0.19/0.50  formulas created: 114
% 0.19/0.50  
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