TSTP Solution File: NLP117+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : NLP117+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Mon Jul 18 05:54:25 EDT 2022

% Result   : Theorem 0.39s 0.56s
% Output   : Proof 0.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NLP117+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Fri Jul  1 09:41:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.39/0.56  (* PROOF-FOUND *)
% 0.39/0.56  % SZS status Theorem
% 0.39/0.56  (* BEGIN-PROOF *)
% 0.39/0.56  % SZS output start Proof
% 0.39/0.56  Theorem co1 : (~(~(((exists U : zenon_U, ((actual_world U)/\(exists V : zenon_U, (exists W : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, (exists Z : zenon_U, ((of U W V)/\((city U V)/\((hollywood_placename U W)/\((placename U W)/\((chevy U X)/\((white U X)/\((dirty U X)/\((old U X)/\((street U Y)/\((lonely U Y)/\((event U Z)/\((agent U Z X)/\((present U Z)/\((barrel U Z)/\((down U Z Y)/\(in U Z V)))))))))))))))))))))))->(exists X1 : zenon_U, ((actual_world X1)/\(exists X2 : zenon_U, (exists X3 : zenon_U, (exists X4 : zenon_U, (exists X5 : zenon_U, (exists X6 : zenon_U, ((of X1 X3 X2)/\((city X1 X2)/\((hollywood_placename X1 X3)/\((placename X1 X3)/\((street X1 X4)/\((lonely X1 X4)/\((chevy X1 X5)/\((white X1 X5)/\((dirty X1 X5)/\((old X1 X5)/\((event X1 X6)/\((agent X1 X6 X5)/\((present X1 X6)/\((barrel X1 X6)/\((down X1 X6 X4)/\(in X1 X6 X2))))))))))))))))))))))))/\((exists X1 : zenon_U, ((actual_world X1)/\(exists X2 : zenon_U, (exists X3 : zenon_U, (exists X4 : zenon_U, (exists X5 : zenon_U, (exists X6 : zenon_U, ((of X1 X3 X2)/\((city X1 X2)/\((hollywood_placename X1 X3)/\((placename X1 X3)/\((street X1 X4)/\((lonely X1 X4)/\((chevy X1 X5)/\((white X1 X5)/\((dirty X1 X5)/\((old X1 X5)/\((event X1 X6)/\((agent X1 X6 X5)/\((present X1 X6)/\((barrel X1 X6)/\((down X1 X6 X4)/\(in X1 X6 X2)))))))))))))))))))))))->(exists U : zenon_U, ((actual_world U)/\(exists V : zenon_U, (exists W : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, (exists Z : zenon_U, ((of U W V)/\((city U V)/\((hollywood_placename U W)/\((placename U W)/\((chevy U X)/\((white U X)/\((dirty U X)/\((old U X)/\((street U Y)/\((lonely U Y)/\((event U Z)/\((agent U Z X)/\((present U Z)/\((barrel U Z)/\((down U Z Y)/\(in U Z V))))))))))))))))))))))))))).
% 0.39/0.56  Proof.
% 0.39/0.56  apply NNPP. intro zenon_G.
% 0.39/0.56  apply zenon_G. zenon_intro zenon_H1.
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H1); [ zenon_intro zenon_H3 | zenon_intro zenon_H2 ].
% 0.39/0.56  apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4.
% 0.39/0.56  elim zenon_H5. zenon_intro zenon_TU_g. zenon_intro zenon_H7.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8.
% 0.39/0.56  elim zenon_H8. zenon_intro zenon_TV_k. zenon_intro zenon_Hb.
% 0.39/0.56  elim zenon_Hb. zenon_intro zenon_TW_m. zenon_intro zenon_Hd.
% 0.39/0.56  elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.39/0.56  elim zenon_Hf. zenon_intro zenon_TY_q. zenon_intro zenon_H11.
% 0.39/0.56  elim zenon_H11. zenon_intro zenon_TZ_s. zenon_intro zenon_H13.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.39/0.56  apply zenon_H4. exists zenon_TU_g. apply NNPP. zenon_intro zenon_H32.
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ].
% 0.39/0.56  exact (zenon_H34 zenon_H9).
% 0.39/0.56  apply zenon_H33. exists zenon_TV_k. apply NNPP. zenon_intro zenon_H35.
% 0.39/0.56  apply zenon_H35. exists zenon_TW_m. apply NNPP. zenon_intro zenon_H36.
% 0.39/0.56  apply zenon_H36. exists zenon_TY_q. apply NNPP. zenon_intro zenon_H37.
% 0.39/0.56  apply zenon_H37. exists zenon_TX_o. apply NNPP. zenon_intro zenon_H38.
% 0.39/0.56  apply zenon_H38. exists zenon_TZ_s. apply NNPP. zenon_intro zenon_H39.
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.39/0.56  exact (zenon_H3b zenon_H15).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 0.39/0.56  exact (zenon_H3d zenon_H17).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 0.39/0.56  exact (zenon_H3f zenon_H19).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ].
% 0.39/0.56  exact (zenon_H41 zenon_H1b).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 0.39/0.56  exact (zenon_H43 zenon_H25).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 0.39/0.56  exact (zenon_H45 zenon_H27).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 0.39/0.56  exact (zenon_H47 zenon_H1d).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ].
% 0.39/0.56  exact (zenon_H49 zenon_H1f).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ].
% 0.39/0.56  exact (zenon_H4b zenon_H21).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ].
% 0.39/0.56  exact (zenon_H4d zenon_H23).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H4c); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 0.39/0.56  exact (zenon_H4f zenon_H29).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 0.39/0.56  exact (zenon_H51 zenon_H2b).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 0.39/0.56  exact (zenon_H53 zenon_H2d).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ].
% 0.39/0.56  exact (zenon_H55 zenon_H2f).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 0.39/0.56  exact (zenon_H57 zenon_H31).
% 0.39/0.56  exact (zenon_H56 zenon_H30).
% 0.39/0.56  apply (zenon_notimply_s _ _ zenon_H2). zenon_intro zenon_H59. zenon_intro zenon_H58.
% 0.39/0.56  elim zenon_H59. zenon_intro zenon_TX1_dm. zenon_intro zenon_H5b.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H5d. zenon_intro zenon_H5c.
% 0.39/0.56  elim zenon_H5c. zenon_intro zenon_TX2_dq. zenon_intro zenon_H5f.
% 0.39/0.56  elim zenon_H5f. zenon_intro zenon_TX3_ds. zenon_intro zenon_H61.
% 0.39/0.56  elim zenon_H61. zenon_intro zenon_TX4_du. zenon_intro zenon_H63.
% 0.39/0.56  elim zenon_H63. zenon_intro zenon_TX5_dw. zenon_intro zenon_H65.
% 0.39/0.56  elim zenon_H65. zenon_intro zenon_TX6_dy. zenon_intro zenon_H67.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H77. zenon_intro zenon_H76.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H7c). zenon_intro zenon_H7f. zenon_intro zenon_H7e.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H7e). zenon_intro zenon_H81. zenon_intro zenon_H80.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 0.39/0.56  apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 0.39/0.56  apply zenon_H58. exists zenon_TX1_dm. apply NNPP. zenon_intro zenon_H86.
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ].
% 0.39/0.56  exact (zenon_H88 zenon_H5d).
% 0.39/0.56  apply zenon_H87. exists zenon_TX2_dq. apply NNPP. zenon_intro zenon_H89.
% 0.39/0.56  apply zenon_H89. exists zenon_TX3_ds. apply NNPP. zenon_intro zenon_H8a.
% 0.39/0.56  apply zenon_H8a. exists zenon_TX5_dw. apply NNPP. zenon_intro zenon_H8b.
% 0.39/0.56  apply zenon_H8b. exists zenon_TX4_du. apply NNPP. zenon_intro zenon_H8c.
% 0.39/0.56  apply zenon_H8c. exists zenon_TX6_dy. apply NNPP. zenon_intro zenon_H8d.
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H8d); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ].
% 0.39/0.56  exact (zenon_H8f zenon_H69).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H8e); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ].
% 0.39/0.56  exact (zenon_H91 zenon_H6b).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H90); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ].
% 0.39/0.56  exact (zenon_H93 zenon_H6d).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H92); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ].
% 0.39/0.56  exact (zenon_H95 zenon_H6f).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H94); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ].
% 0.39/0.56  exact (zenon_H97 zenon_H75).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H96); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ].
% 0.39/0.56  exact (zenon_H99 zenon_H77).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H98); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ].
% 0.39/0.56  exact (zenon_H9b zenon_H79).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H9a); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ].
% 0.39/0.56  exact (zenon_H9d zenon_H7b).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H9c); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ].
% 0.39/0.56  exact (zenon_H9f zenon_H71).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_H9e); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha0 ].
% 0.39/0.56  exact (zenon_Ha1 zenon_H73).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ].
% 0.39/0.56  exact (zenon_Ha3 zenon_H7d).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ].
% 0.39/0.56  exact (zenon_Ha5 zenon_H7f).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_Ha4); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ].
% 0.39/0.56  exact (zenon_Ha7 zenon_H81).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ].
% 0.39/0.56  exact (zenon_Ha9 zenon_H83).
% 0.39/0.56  apply (zenon_notand_s _ _ zenon_Ha8); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ].
% 0.39/0.56  exact (zenon_Hab zenon_H85).
% 0.39/0.56  exact (zenon_Haa zenon_H84).
% 0.39/0.56  Qed.
% 0.39/0.56  % SZS output end Proof
% 0.39/0.56  (* END-PROOF *)
% 0.39/0.56  nodes searched: 194
% 0.39/0.56  max branch formulas: 87
% 0.39/0.56  proof nodes created: 94
% 0.39/0.56  formulas created: 2457
% 0.39/0.56  
%------------------------------------------------------------------------------