TSTP Solution File: LCL644+1.001 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n013.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 16:22:59 EDT 2022
% Result : Theorem 0.20s 0.52s
% 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
% 0.03/0.13 % Problem : LCL644+1.001 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 3 21:53:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.52 (* PROOF-FOUND *)
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 (* BEGIN-PROOF *)
% 0.20/0.52 % SZS output start Proof
% 0.20/0.52 Theorem main : (~(exists X : zenon_U, (~((~((forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/(p1 Y))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))))\/(~((forall Y : zenon_U, ((~(r1 X Y))\/((forall X : zenon_U, ((~(r1 Y X))\/((~((p2 X)/\(forall Y : zenon_U, ((~(r1 X Y))\/(p2 Y)))))\/(p1 X))))\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y))))))))/\((forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/((p1 Y)\/(forall X : zenon_U, ((~(r1 Y X))\/((p2 X)\/(~((p1 X)/\((forall Y : zenon_U, ((~(r1 X Y))\/(p1 Y)))/\(p1 X)))))))))))/\(forall Y : zenon_U, ((~(r1 X Y))\/((~((p2 Y)/\(forall X : zenon_U, ((~(r1 Y X))\/(p2 X)))))\/((p1 Y)\/((p2 Y)\/(~((p1 Y)/\((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))))))))))))\/((forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y))))))\/(forall Y : zenon_U, ((~(r1 X Y))\/((p1 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y))))))))))).
% 0.20/0.52 Proof.
% 0.20/0.52 apply NNPP. intro zenon_G.
% 0.20/0.52 apply zenon_G. zenon_intro zenon_H1.
% 0.20/0.52 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3.
% 0.20/0.52 apply (zenon_notor_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.20/0.52 apply (zenon_notor_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H6.
% 0.20/0.52 apply (zenon_notallex_s (fun Y : zenon_U => ((~(r1 zenon_TX_c Y))\/((p1 Y)\/(~((forall X : zenon_U, ((~(r1 Y X))\/(p1 X)))/\(p1 Y)))))) zenon_H6); [ zenon_intro zenon_H7; idtac ].
% 0.20/0.52 elim zenon_H7. zenon_intro zenon_TY_i. zenon_intro zenon_H9.
% 0.20/0.52 apply (zenon_notor_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha.
% 0.20/0.52 apply (zenon_notor_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc.
% 0.20/0.52 apply zenon_Hc. zenon_intro zenon_He.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf.
% 0.20/0.52 exact (zenon_Hd zenon_Hf).
% 0.20/0.52 Qed.
% 0.20/0.52 % SZS output end Proof
% 0.20/0.52 (* END-PROOF *)
% 0.20/0.52 nodes searched: 6
% 0.20/0.52 max branch formulas: 11
% 0.20/0.52 proof nodes created: 6
% 0.20/0.52 formulas created: 174
% 0.20/0.52
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