TSTP Solution File: SYN412+1 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : SYN412+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n012.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 0.20s 0.53s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN412+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14  % Command  : run_zenon %s %d
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 13:11:43 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.53  (* PROOF-FOUND *)
% 0.20/0.53  % SZS status Theorem
% 0.20/0.53  (* BEGIN-PROOF *)
% 0.20/0.53  % SZS output start Proof
% 0.20/0.53  Theorem kalish255 : (~(exists X : zenon_U, (forall Y : zenon_U, ((f X Y)<->(~(f X X)))))).
% 0.20/0.53  Proof.
% 0.20/0.53  apply NNPP. intro zenon_G.
% 0.20/0.53  apply zenon_G. zenon_intro zenon_H2.
% 0.20/0.53  elim zenon_H2. zenon_intro zenon_TX_d. zenon_intro zenon_H0.
% 0.20/0.53  generalize (zenon_H0 zenon_E). zenon_intro zenon_H4.
% 0.20/0.53  apply (zenon_equiv_s _ _ zenon_H4); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_H5 ].
% 0.20/0.53  apply zenon_H7. zenon_intro zenon_H9.
% 0.20/0.53  generalize (zenon_H0 zenon_TX_d). zenon_intro zenon_Ha.
% 0.20/0.53  apply (zenon_equiv_s _ _ zenon_Ha); [ zenon_intro zenon_H5; zenon_intro zenon_H7 | zenon_intro zenon_H9; zenon_intro zenon_H5 ].
% 0.20/0.53  exact (zenon_H5 zenon_H9).
% 0.20/0.53  exact (zenon_H5 zenon_H9).
% 0.20/0.53  generalize (zenon_H0 zenon_TX_d). zenon_intro zenon_Ha.
% 0.20/0.53  apply (zenon_equiv_s _ _ zenon_Ha); [ zenon_intro zenon_H5; zenon_intro zenon_H7 | zenon_intro zenon_H9; zenon_intro zenon_H5 ].
% 0.20/0.53  exact (zenon_H7 zenon_H5).
% 0.20/0.53  exact (zenon_H5 zenon_H9).
% 0.20/0.53  Qed.
% 0.20/0.53  % SZS output end Proof
% 0.20/0.53  (* END-PROOF *)
% 0.20/0.53  nodes searched: 16
% 0.20/0.53  max branch formulas: 10
% 0.20/0.53  proof nodes created: 14
% 0.20/0.53  formulas created: 85
% 0.20/0.53  
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