TSTP Solution File: SEU435+1 by Zenon---0.7.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zenon---0.7.1
% Problem  : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_zenon %s %d

% Computer : n014.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 : Tue Jul 19 16:02:18 EDT 2022

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU435+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : run_zenon %s %d
% 0.13/0.35  % Computer : n014.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 Jun 19 21:49:18 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.53  Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.21/0.53  (* PROOF-FOUND *)
% 0.21/0.53  % SZS status Theorem
% 0.21/0.53  (* BEGIN-PROOF *)
% 0.21/0.53  % SZS output start Proof
% 0.21/0.53  Theorem t36_relset_2 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 A B))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 A B C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))))))).
% 0.21/0.53  Proof.
% 0.21/0.53  apply NNPP. intro zenon_G.
% 0.21/0.53  apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 A B))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 A B C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))))))) zenon_G); [ zenon_intro zenon_H2d; idtac ].
% 0.21/0.53  elim zenon_H2d. zenon_intro zenon_TA_bu. zenon_intro zenon_H2f.
% 0.21/0.53  apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 zenon_TA_bu B))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu B C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E)))))))))) zenon_H2f); [ zenon_intro zenon_H30; idtac ].
% 0.21/0.53  elim zenon_H30. zenon_intro zenon_TB_bx. zenon_intro zenon_H32.
% 0.21/0.53  apply (zenon_notallex_s (fun C : zenon_U => ((m1_subset_1 C (k1_zfmisc_1 (k1_zfmisc_1 (k2_zfmisc_1 zenon_TA_bu zenon_TB_bx))))->(forall D : zenon_U, (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx C D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))))) zenon_H32); [ zenon_intro zenon_H33; idtac ].
% 0.21/0.53  elim zenon_H33. zenon_intro zenon_TC_ca. zenon_intro zenon_H35.
% 0.21/0.53  apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 0.21/0.53  apply (zenon_notallex_s (fun D : zenon_U => (forall E : zenon_U, (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 D))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx zenon_TC_ca D E F) (k1_zfmisc_1 (k1_zfmisc_1 E))))))) zenon_H36); [ zenon_intro zenon_H38; idtac ].
% 0.21/0.53  elim zenon_H38. zenon_intro zenon_TD_cf. zenon_intro zenon_H3a.
% 0.21/0.53  apply (zenon_notallex_s (fun E : zenon_U => (forall F : zenon_U, ((m1_subset_1 F (k1_zfmisc_1 zenon_TD_cf))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx zenon_TC_ca zenon_TD_cf E F) (k1_zfmisc_1 (k1_zfmisc_1 E)))))) zenon_H3a); [ zenon_intro zenon_H3b; idtac ].
% 0.21/0.53  elim zenon_H3b. zenon_intro zenon_TE_ci. zenon_intro zenon_H3d.
% 0.21/0.53  apply (zenon_notallex_s (fun F : zenon_U => ((m1_subset_1 F (k1_zfmisc_1 zenon_TD_cf))->(m1_subset_1 (a_6_0_relset_2 zenon_TA_bu zenon_TB_bx zenon_TC_ca zenon_TD_cf zenon_TE_ci F) (k1_zfmisc_1 (k1_zfmisc_1 zenon_TE_ci))))) zenon_H3d); [ zenon_intro zenon_H3e; idtac ].
% 0.21/0.53  elim zenon_H3e. zenon_intro zenon_TF_cl. zenon_intro zenon_H40.
% 0.21/0.53  apply (zenon_notimply_s _ _ zenon_H40). zenon_intro zenon_H42. zenon_intro zenon_H41.
% 0.21/0.53  generalize (s8_domain_1__e1_46__relset_2 zenon_TA_bu). zenon_intro zenon_H43.
% 0.21/0.53  generalize (zenon_H43 zenon_TB_bx). zenon_intro zenon_H44.
% 0.21/0.53  generalize (zenon_H44 zenon_TC_ca). zenon_intro zenon_H45.
% 0.21/0.53  generalize (zenon_H45 zenon_TD_cf). zenon_intro zenon_H46.
% 0.21/0.53  generalize (zenon_H46 zenon_TE_ci). zenon_intro zenon_H47.
% 0.21/0.53  generalize (zenon_H47 zenon_TF_cl). zenon_intro zenon_H48.
% 0.21/0.53  apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 0.21/0.53  apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 0.21/0.53  exact (zenon_H4c zenon_H37).
% 0.21/0.53  exact (zenon_H4b zenon_H42).
% 0.21/0.53  exact (zenon_H41 zenon_H49).
% 0.21/0.53  Qed.
% 0.21/0.53  % SZS output end Proof
% 0.21/0.53  (* END-PROOF *)
% 0.21/0.53  nodes searched: 327
% 0.21/0.53  max branch formulas: 351
% 0.21/0.53  proof nodes created: 42
% 0.21/0.53  formulas created: 2838
% 0.21/0.53  
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