TSTP Solution File: LCL674+1.001 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : LCL674+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n015.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 : Sun Jul 17 16:23:47 EDT 2022

% Result   : Theorem 0.19s 0.49s
% 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
% 0.03/0.12  % Problem  : LCL674+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_zenon %s %d
% 0.12/0.33  % Computer : n015.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 : Mon Jul  4 21:11:46 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.49  (* PROOF-FOUND *)
% 0.19/0.49  % SZS status Theorem
% 0.19/0.49  (* BEGIN-PROOF *)
% 0.19/0.49  % SZS output start Proof
% 0.19/0.49  Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((((~(forall X : zenon_U, ((~(r1 Y X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))))/\(~(forall X : zenon_U, ((~(r1 Y X))\/(~((p2 X)/\((~(p102 X))/\(p101 X))))))))\/(~((~(p101 Y))/\(p100 Y))))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p2 X))\/(~(p101 X)))))\/(p2 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~(p101 X)))))\/(~(p2 Y))))\/(~(p101 Y)))/\(((((forall X : zenon_U, ((~(r1 Y X))\/((~(p1 X))\/(~(p100 X)))))\/(p1 Y))/\((forall X : zenon_U, ((~(r1 Y X))\/((p1 X)\/(~(p100 X)))))\/(~(p1 Y))))\/(~(p100 Y)))/\(((p101 Y)\/(~(p102 Y)))/\((p100 Y)\/(~(p101 Y)))))))))/\((~(p101 X))/\(p100 X)))))))).
% 0.19/0.49  Proof.
% 0.19/0.49  apply NNPP. intro zenon_G.
% 0.19/0.49  apply zenon_G. zenon_intro zenon_H3.
% 0.19/0.49  elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5.
% 0.19/0.49  apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.19/0.49  apply zenon_H6. zenon_intro zenon_H8.
% 0.19/0.49  apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Ha. zenon_intro zenon_H9.
% 0.19/0.49  apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb.
% 0.19/0.49  apply zenon_H7. zenon_intro zenon_Hd.
% 0.19/0.49  generalize (zenon_Ha zenon_TX_e). zenon_intro zenon_He.
% 0.19/0.49  apply (zenon_or_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ].
% 0.19/0.49  generalize (reflexivity zenon_TX_e). zenon_intro zenon_H11.
% 0.19/0.49  exact (zenon_H10 zenon_H11).
% 0.19/0.49  apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.19/0.49  apply (zenon_or_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 0.19/0.49  apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.19/0.49  apply (zenon_notallex_s (fun X : zenon_U => ((~(r1 zenon_TX_e X))\/(~((~(p2 X))/\((~(p102 X))/\(p101 X)))))) zenon_H17); [ zenon_intro zenon_H18; idtac ].
% 0.19/0.49  elim zenon_H18. zenon_intro zenon_TX_z. zenon_intro zenon_H1a.
% 0.19/0.49  apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.19/0.49  apply zenon_H1b. zenon_intro zenon_H1d.
% 0.19/0.49  apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.19/0.49  apply zenon_H1c. zenon_intro zenon_H20.
% 0.19/0.49  generalize (zenon_Hd zenon_TX_z). zenon_intro zenon_H21.
% 0.19/0.49  apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H23 | zenon_intro zenon_H22 ].
% 0.19/0.49  exact (zenon_H23 zenon_H20).
% 0.19/0.49  exact (zenon_H1f zenon_H22).
% 0.19/0.49  apply (zenon_notand_s _ _ zenon_H14); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.19/0.49  exact (zenon_H25 zenon_Hc).
% 0.19/0.49  exact (zenon_H24 zenon_Hb).
% 0.19/0.49  Qed.
% 0.19/0.49  % SZS output end Proof
% 0.19/0.49  (* END-PROOF *)
% 0.19/0.49  nodes searched: 49
% 0.19/0.49  max branch formulas: 57
% 0.19/0.49  proof nodes created: 19
% 0.19/0.49  formulas created: 464
% 0.19/0.49  
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