TSTP Solution File: SYN413+1 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n024.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 13:51:56 EDT 2022

% Result   : Theorem 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jul 12 00:06:28 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.49  (* PROOF-FOUND *)
% 0.18/0.49  % SZS status Theorem
% 0.18/0.49  (* BEGIN-PROOF *)
% 0.18/0.49  % SZS output start Proof
% 0.18/0.49  Theorem kalish256 : ((forall Z : zenon_U, (exists Y : zenon_U, (forall X : zenon_U, ((f X Y)<->((f X Z)/\(~(f X X)))))))->(~(exists V : zenon_U, (forall U : zenon_U, (f U V))))).
% 0.18/0.49  Proof.
% 0.18/0.49  apply NNPP. intro zenon_G.
% 0.18/0.49  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1.
% 0.18/0.49  apply zenon_H1. zenon_intro zenon_H3.
% 0.18/0.49  elim zenon_H3. zenon_intro zenon_TV_e. zenon_intro zenon_H5.
% 0.18/0.49  generalize (zenon_H2 zenon_TV_e). zenon_intro zenon_H6.
% 0.18/0.49  elim zenon_H6. zenon_intro zenon_TY_h. zenon_intro zenon_H8.
% 0.18/0.49  generalize (zenon_H8 zenon_TY_h). zenon_intro zenon_H9.
% 0.18/0.49  apply (zenon_equiv_s _ _ zenon_H9); [ zenon_intro zenon_Hd; zenon_intro zenon_Hc | zenon_intro zenon_Hb; zenon_intro zenon_Ha ].
% 0.18/0.49  apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_Hf | zenon_intro zenon_He ].
% 0.18/0.49  generalize (zenon_H5 zenon_TY_h). zenon_intro zenon_H10.
% 0.18/0.49  exact (zenon_Hf zenon_H10).
% 0.18/0.49  exact (zenon_He zenon_Hd).
% 0.18/0.49  apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_H10. zenon_intro zenon_Hd.
% 0.18/0.49  exact (zenon_Hd zenon_Hb).
% 0.18/0.49  Qed.
% 0.18/0.49  % SZS output end Proof
% 0.18/0.49  (* END-PROOF *)
% 0.18/0.49  nodes searched: 121
% 0.18/0.49  max branch formulas: 58
% 0.18/0.49  proof nodes created: 28
% 0.18/0.49  formulas created: 322
% 0.18/0.49  
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