TSTP Solution File: CSR045+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : CSR045+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n022.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 : Sat Jul 16 00:02:05 EDT 2022

% Result   : Theorem 0.38s 0.56s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR045+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.12  % Command  : run_zenon %s %d
% 0.13/0.33  % Computer : n022.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 10 18:47:19 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.38/0.56  (* PROOF-FOUND *)
% 0.38/0.56  % SZS status Theorem
% 0.38/0.56  (* BEGIN-PROOF *)
% 0.38/0.56  % SZS output start Proof
% 0.38/0.56  Theorem query45 : (~(genls (c_wamt_evalinitial_p14) (c_tptpcol_15_80088))).
% 0.38/0.56  Proof.
% 0.38/0.56  assert (zenon_L1_ : (~((c_intangibleindividual) = (c_intangibleindividual))) -> False).
% 0.38/0.56  do 0 intro. intros zenon_H45.
% 0.38/0.56  apply zenon_H45. apply refl_equal.
% 0.38/0.56  (* end of lemma zenon_L1_ *)
% 0.38/0.56  assert (zenon_L2_ : (~((c_partiallyintangibleindividual) = (c_partiallyintangibleindividual))) -> False).
% 0.38/0.56  do 0 intro. intros zenon_H46.
% 0.38/0.56  apply zenon_H46. apply refl_equal.
% 0.38/0.56  (* end of lemma zenon_L2_ *)
% 0.38/0.56  assert (zenon_L3_ : (collection (c_wamt_evalinitial_p14)) -> (individual (c_wamt_evalinitial_p14)) -> False).
% 0.38/0.56  do 0 intro. intros zenon_H47 zenon_H48.
% 0.38/0.56  generalize (just15 (c_wamt_evalinitial_p14)). zenon_intro zenon_H49.
% 0.38/0.56  apply (zenon_notand_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ].
% 0.38/0.56  exact (zenon_H4b zenon_H47).
% 0.38/0.56  exact (zenon_H4a zenon_H48).
% 0.38/0.56  (* end of lemma zenon_L3_ *)
% 0.38/0.56  assert (zenon_L4_ : (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z)))))) -> (collection (c_wamt_evalinitial_p14)) -> False).
% 0.38/0.56  do 0 intro. intros zenon_H4c zenon_H47.
% 0.38/0.56  generalize (just10 (c_wamt_evalinitial_p14)). zenon_intro zenon_H4d.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4e | zenon_intro zenon_H48 ].
% 0.38/0.56  generalize (just83 (c_wamt_evalinitial_p14)). zenon_intro zenon_H4f.
% 0.38/0.56  generalize (just51 (c_wamt_evalinitial_p14)). zenon_intro zenon_H50.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H50); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ].
% 0.38/0.56  generalize (zenon_H4f (c_microtheory)). zenon_intro zenon_H53.
% 0.38/0.56  generalize (zenon_H53 (c_partiallyintangibleindividual)). zenon_intro zenon_H54.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ].
% 0.38/0.56  apply (zenon_notand_s _ _ zenon_H56); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ].
% 0.38/0.56  generalize (just67 (c_wamt_evalinitial_p14)). zenon_intro zenon_H59.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ].
% 0.38/0.56  generalize (just14 (c_wamt_evalinitial_p14)). zenon_intro zenon_H5c.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ].
% 0.38/0.56  exact (zenon_H5e just1).
% 0.38/0.56  exact (zenon_H5b zenon_H5d).
% 0.38/0.56  exact (zenon_H58 zenon_H5a).
% 0.38/0.56  elim (classic ((~((c_microtheory) = (c_intangibleindividual)))/\(~(genls (c_microtheory) (c_intangibleindividual))))); [ zenon_intro zenon_H5f | zenon_intro zenon_H60 ].
% 0.38/0.56  apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H62. zenon_intro zenon_H61.
% 0.38/0.56  elim (classic ((~((c_microtheory) = (c_aspatialinformationstore)))/\(~(genls (c_microtheory) (c_aspatialinformationstore))))); [ zenon_intro zenon_H63 | zenon_intro zenon_H64 ].
% 0.38/0.56  apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H66. zenon_intro zenon_H65.
% 0.38/0.56  exact (zenon_H65 just2).
% 0.38/0.56  cut ((genls (c_aspatialinformationstore) (c_intangibleindividual)) = (genls (c_microtheory) (c_intangibleindividual))).
% 0.38/0.56  intro zenon_D_pnotp.
% 0.38/0.56  apply zenon_H61.
% 0.38/0.56  rewrite <- zenon_D_pnotp.
% 0.38/0.56  exact just7.
% 0.38/0.56  cut (((c_intangibleindividual) = (c_intangibleindividual))); [idtac | apply NNPP; zenon_intro zenon_H45].
% 0.38/0.56  cut (((c_aspatialinformationstore) = (c_microtheory))); [idtac | apply NNPP; zenon_intro zenon_H67].
% 0.38/0.56  congruence.
% 0.38/0.56  apply (zenon_notand_s _ _ zenon_H64); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ].
% 0.38/0.56  apply zenon_H69. zenon_intro zenon_H6a.
% 0.38/0.56  elim (classic ((c_microtheory) = (c_microtheory))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 0.38/0.56  cut (((c_microtheory) = (c_microtheory)) = ((c_aspatialinformationstore) = (c_microtheory))).
% 0.38/0.56  intro zenon_D_pnotp.
% 0.38/0.56  apply zenon_H67.
% 0.38/0.56  rewrite <- zenon_D_pnotp.
% 0.38/0.56  exact zenon_H6b.
% 0.38/0.56  cut (((c_microtheory) = (c_microtheory))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 0.38/0.56  cut (((c_microtheory) = (c_aspatialinformationstore))); [idtac | apply NNPP; zenon_intro zenon_H66].
% 0.38/0.56  congruence.
% 0.38/0.56  exact (zenon_H66 zenon_H6a).
% 0.38/0.56  apply zenon_H6c. apply refl_equal.
% 0.38/0.56  apply zenon_H6c. apply refl_equal.
% 0.38/0.56  apply zenon_H68. zenon_intro just2.
% 0.38/0.56  generalize (zenon_H4c (c_microtheory)). zenon_intro zenon_H6d.
% 0.38/0.56  generalize (zenon_H6d (c_aspatialinformationstore)). zenon_intro zenon_H6e.
% 0.38/0.56  generalize (zenon_H6e (c_intangibleindividual)). zenon_intro zenon_H6f.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ].
% 0.38/0.56  exact (zenon_H65 just2).
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ].
% 0.38/0.56  exact (zenon_H72 just7).
% 0.38/0.56  exact (zenon_H61 zenon_H71).
% 0.38/0.56  apply zenon_H45. apply refl_equal.
% 0.38/0.56  cut ((genls (c_intangibleindividual) (c_partiallyintangibleindividual)) = (genls (c_microtheory) (c_partiallyintangibleindividual))).
% 0.38/0.56  intro zenon_D_pnotp.
% 0.38/0.56  apply zenon_H57.
% 0.38/0.56  rewrite <- zenon_D_pnotp.
% 0.38/0.56  exact just5.
% 0.38/0.56  cut (((c_partiallyintangibleindividual) = (c_partiallyintangibleindividual))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 0.38/0.56  cut (((c_intangibleindividual) = (c_microtheory))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 0.38/0.56  congruence.
% 0.38/0.56  apply (zenon_notand_s _ _ zenon_H60); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ].
% 0.38/0.56  apply zenon_H75. zenon_intro zenon_H76.
% 0.38/0.56  elim (classic ((c_microtheory) = (c_microtheory))); [ zenon_intro zenon_H6b | zenon_intro zenon_H6c ].
% 0.38/0.56  cut (((c_microtheory) = (c_microtheory)) = ((c_intangibleindividual) = (c_microtheory))).
% 0.38/0.56  intro zenon_D_pnotp.
% 0.38/0.56  apply zenon_H73.
% 0.38/0.56  rewrite <- zenon_D_pnotp.
% 0.38/0.56  exact zenon_H6b.
% 0.38/0.56  cut (((c_microtheory) = (c_microtheory))); [idtac | apply NNPP; zenon_intro zenon_H6c].
% 0.38/0.56  cut (((c_microtheory) = (c_intangibleindividual))); [idtac | apply NNPP; zenon_intro zenon_H62].
% 0.38/0.56  congruence.
% 0.38/0.56  exact (zenon_H62 zenon_H76).
% 0.38/0.56  apply zenon_H6c. apply refl_equal.
% 0.38/0.56  apply zenon_H6c. apply refl_equal.
% 0.38/0.56  apply zenon_H74. zenon_intro zenon_H71.
% 0.38/0.56  generalize (zenon_H4c (c_microtheory)). zenon_intro zenon_H6d.
% 0.38/0.56  generalize (zenon_H6d (c_intangibleindividual)). zenon_intro zenon_H77.
% 0.38/0.56  generalize (zenon_H77 (c_partiallyintangibleindividual)). zenon_intro zenon_H78.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_H61 | zenon_intro zenon_H79 ].
% 0.38/0.56  exact (zenon_H61 zenon_H71).
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ].
% 0.38/0.56  exact (zenon_H7b just5).
% 0.38/0.56  exact (zenon_H57 zenon_H7a).
% 0.38/0.56  apply zenon_H46. apply refl_equal.
% 0.38/0.56  exact (zenon_H52 zenon_H55).
% 0.38/0.56  exact (zenon_H4e zenon_H51).
% 0.38/0.56  apply (zenon_L3_); trivial.
% 0.38/0.56  (* end of lemma zenon_L4_ *)
% 0.38/0.56  apply NNPP. intro zenon_G.
% 0.38/0.56  elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((genls x y)->((genls y z)->(genls x z))))))); [ zenon_intro zenon_H4c | zenon_intro zenon_H7c ].
% 0.38/0.56  apply zenon_G. zenon_intro zenon_H7d.
% 0.38/0.56  generalize (just20 (c_wamt_evalinitial_p14)). zenon_intro zenon_H7e.
% 0.38/0.56  generalize (zenon_H7e (c_tptpcol_15_80088)). zenon_intro zenon_H7f.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H7f); [ zenon_intro zenon_H80 | zenon_intro zenon_H47 ].
% 0.38/0.56  exact (zenon_H80 zenon_H7d).
% 0.38/0.56  apply (zenon_L4_); trivial.
% 0.38/0.56  apply zenon_H7c. zenon_intro zenon_Tx_ez. apply NNPP. zenon_intro zenon_H82.
% 0.38/0.56  apply zenon_H82. zenon_intro zenon_Ty_fb. apply NNPP. zenon_intro zenon_H84.
% 0.38/0.56  apply zenon_H84. zenon_intro zenon_Tz_fd. apply NNPP. zenon_intro zenon_H86.
% 0.38/0.56  apply (zenon_notimply_s _ _ zenon_H86). zenon_intro zenon_H88. zenon_intro zenon_H87.
% 0.38/0.56  apply (zenon_notimply_s _ _ zenon_H87). zenon_intro zenon_H8a. zenon_intro zenon_H89.
% 0.38/0.56  generalize (just72 zenon_Tx_ez). zenon_intro zenon_H8b.
% 0.38/0.56  generalize (zenon_H8b zenon_Ty_fb). zenon_intro zenon_H8c.
% 0.38/0.56  generalize (zenon_H8c zenon_Tz_fd). zenon_intro zenon_H8d.
% 0.38/0.56  apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ].
% 0.38/0.56  apply (zenon_notand_s _ _ zenon_H8f); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ].
% 0.38/0.56  exact (zenon_H91 zenon_H88).
% 0.38/0.56  exact (zenon_H90 zenon_H8a).
% 0.38/0.56  exact (zenon_H89 zenon_H8e).
% 0.38/0.56  Qed.
% 0.38/0.56  % SZS output end Proof
% 0.38/0.56  (* END-PROOF *)
% 0.38/0.56  nodes searched: 2848
% 0.38/0.56  max branch formulas: 1439
% 0.38/0.56  proof nodes created: 147
% 0.38/0.56  formulas created: 12060
% 0.38/0.56  
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