%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n021.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 13:51:40 EDT 2022

% Result   : Theorem 0.21s 0.54s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : SYN380+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14  % Command  : run_zenon %s %d
% 0.15/0.36  % Computer : n021.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jul 12 04:27:39 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.21/0.54  (* PROOF-FOUND *)
% 0.21/0.54  % SZS status Theorem
% 0.21/0.54  (* BEGIN-PROOF *)
% 0.21/0.54  % SZS output start Proof
% 0.21/0.54  Theorem x2132 : ((forall W : zenon_U, (~(big_r W W)))->(exists X : zenon_U, (exists Y : zenon_U, ((~(big_r X Y))/\((big_q Y X)->(forall Z : zenon_U, (big_q Z Z))))))).
% 0.21/0.54  Proof.
% 0.21/0.54  assert (zenon_L1_ : (~(forall Z : zenon_U, (big_q Z Z))) -> (~(exists X : zenon_U, (exists Y : zenon_U, ((~(big_r X Y))/\((big_q Y X)->(forall Z : zenon_U, (big_q Z Z))))))) -> (forall W : zenon_U, (~(big_r W W))) -> False).
% 0.21/0.54  do 0 intro. intros zenon_H2 zenon_H3 zenon_H4.
% 0.21/0.54  apply (zenon_notallex_s (fun Z : zenon_U => (big_q Z Z)) zenon_H2); [ zenon_intro zenon_H5; idtac ].
% 0.21/0.54  elim zenon_H5. zenon_intro zenon_TZ_g. zenon_intro zenon_H7.
% 0.21/0.54  apply zenon_H3. exists zenon_TZ_g. apply NNPP. zenon_intro zenon_H8.
% 0.21/0.54  apply zenon_H8. exists zenon_TZ_g. apply NNPP. zenon_intro zenon_H9.
% 0.21/0.54  apply (zenon_notand_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ].
% 0.21/0.54  apply zenon_Hb. zenon_intro zenon_Hc.
% 0.21/0.54  generalize (zenon_H4 zenon_TZ_g). zenon_intro zenon_Hd.
% 0.21/0.54  exact (zenon_Hd zenon_Hc).
% 0.21/0.54  apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_He. zenon_intro zenon_H2.
% 0.21/0.54  exact (zenon_H7 zenon_He).
% 0.21/0.54  (* end of lemma zenon_L1_ *)
% 0.21/0.54  apply NNPP. intro zenon_G.
% 0.21/0.54  apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H4. zenon_intro zenon_H3.
% 0.21/0.54  apply zenon_H3. exists zenon_E. apply NNPP. zenon_intro zenon_Hf.
% 0.21/0.54  apply zenon_Hf. exists zenon_E. apply NNPP. zenon_intro zenon_H10.
% 0.21/0.54  apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ].
% 0.21/0.54  apply zenon_H12. zenon_intro zenon_H13.
% 0.21/0.54  generalize (zenon_H4 zenon_E). zenon_intro zenon_H14.
% 0.21/0.54  exact (zenon_H14 zenon_H13).
% 0.21/0.54  apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H2.
% 0.21/0.54  apply (zenon_L1_); trivial.
% 0.21/0.54  Qed.
% 0.21/0.54  % SZS output end Proof
% 0.21/0.54  (* END-PROOF *)
% 0.21/0.54  nodes searched: 43
% 0.21/0.54  max branch formulas: 22
% 0.21/0.54  proof nodes created: 22
% 0.21/0.54  formulas created: 240
% 0.21/0.54  
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