TSTP Solution File: LCL682+1.001 by Zenon---0.7.1

View Problem - Process Solution

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% File     : Zenon---0.7.1
% Problem  : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n008.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 16:23:59 EDT 2022

% Result   : Theorem 0.20s 0.51s
% 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  : LCL682+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command  : run_zenon %s %d
% 0.14/0.35  % Computer : n008.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 : Sun Jul  3 01:01:08 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.20/0.51  (* PROOF-FOUND *)
% 0.20/0.51  % SZS status Theorem
% 0.20/0.51  (* BEGIN-PROOF *)
% 0.20/0.51  % SZS output start Proof
% 0.20/0.51  Theorem main : (~(exists X : zenon_U, (~((~(forall Y : zenon_U, ((~(r1 X Y))\/(~((~(forall X : zenon_U, ((~(r1 Y X))\/(p16 X))))\/((~(forall X : zenon_U, ((~(r1 Y X))\/(p12 X))))\/((~(forall X : zenon_U, ((~(r1 Y X))\/(p14 X))))\/(~(forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))))))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p15 X)))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p13 X)))))\/((forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p12 X)))))\/(forall Y : zenon_U, ((~(r1 X Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p11 X)))))))))))).
% 0.20/0.51  Proof.
% 0.20/0.51  apply NNPP. intro zenon_G.
% 0.20/0.51  apply zenon_G. zenon_intro zenon_H3.
% 0.20/0.51  elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5.
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6.
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.20/0.51  apply zenon_H7. zenon_intro zenon_He.
% 0.20/0.51  apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_e Y))\/(forall X : zenon_U, ((~(r1 Y X))\/(p12 X))))) zenon_Hd); [ zenon_intro zenon_Hf; idtac ].
% 0.20/0.51  elim zenon_Hf. zenon_intro zenon_TY_q. zenon_intro zenon_H11.
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 0.20/0.51  apply zenon_H13. zenon_intro zenon_H14.
% 0.20/0.51  generalize (zenon_He zenon_TY_q). zenon_intro zenon_H15.
% 0.20/0.51  apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ].
% 0.20/0.51  exact (zenon_H17 zenon_H14).
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.20/0.51  apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.20/0.51  exact (zenon_H1b zenon_H12).
% 0.20/0.51  Qed.
% 0.20/0.51  % SZS output end Proof
% 0.20/0.51  (* END-PROOF *)
% 0.20/0.51  nodes searched: 84
% 0.20/0.51  max branch formulas: 96
% 0.20/0.51  proof nodes created: 16
% 0.20/0.51  formulas created: 541
% 0.20/0.51  
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