TSTP Solution File: SEU424+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 16:02:08 EDT 2022
% Result : Theorem 0.18s 0.50s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU424+1 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n004.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 : Mon Jun 20 13:30:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski
% 0.18/0.50 (* PROOF-FOUND *)
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 (* BEGIN-PROOF *)
% 0.18/0.50 % SZS output start Proof
% 0.18/0.50 Theorem t18_relset_2 : (forall A : zenon_U, ((~(v1_xboole_0 A))->(forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 A))->(forall D : zenon_U, ((m2_relset_1 D A B)->(m1_subset_1 (a_4_0_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))))).
% 0.18/0.50 Proof.
% 0.18/0.50 apply NNPP. intro zenon_G.
% 0.18/0.50 apply (zenon_notallex_s (fun A : zenon_U => ((~(v1_xboole_0 A))->(forall B : zenon_U, (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 A))->(forall D : zenon_U, ((m2_relset_1 D A B)->(m1_subset_1 (a_4_0_relset_2 A B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.18/0.50 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.18/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, ((m1_subset_1 C (k1_zfmisc_1 zenon_TA_bm))->(forall D : zenon_U, ((m2_relset_1 D zenon_TA_bm B)->(m1_subset_1 (a_4_0_relset_2 zenon_TA_bm B C D) (k1_zfmisc_1 (k1_zfmisc_1 B)))))))) zenon_H28); [ zenon_intro zenon_H2a; idtac ].
% 0.18/0.50 elim zenon_H2a. zenon_intro zenon_TB_br. zenon_intro zenon_H2c.
% 0.18/0.50 apply (zenon_notallex_s (fun C : zenon_U => ((m1_subset_1 C (k1_zfmisc_1 zenon_TA_bm))->(forall D : zenon_U, ((m2_relset_1 D zenon_TA_bm zenon_TB_br)->(m1_subset_1 (a_4_0_relset_2 zenon_TA_bm zenon_TB_br C D) (k1_zfmisc_1 (k1_zfmisc_1 zenon_TB_br))))))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ].
% 0.18/0.50 elim zenon_H2d. zenon_intro zenon_TC_bu. zenon_intro zenon_H2f.
% 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.18/0.50 apply (zenon_notallex_s (fun D : zenon_U => ((m2_relset_1 D zenon_TA_bm zenon_TB_br)->(m1_subset_1 (a_4_0_relset_2 zenon_TA_bm zenon_TB_br zenon_TC_bu D) (k1_zfmisc_1 (k1_zfmisc_1 zenon_TB_br))))) zenon_H30); [ zenon_intro zenon_H32; idtac ].
% 0.18/0.50 elim zenon_H32. zenon_intro zenon_TD_bz. zenon_intro zenon_H34.
% 0.18/0.50 apply (zenon_notimply_s _ _ zenon_H34). zenon_intro zenon_H36. zenon_intro zenon_H35.
% 0.18/0.50 generalize (redefinition_m2_relset_1 zenon_TA_bm). zenon_intro zenon_H37.
% 0.18/0.50 generalize (zenon_H37 zenon_TB_br). zenon_intro zenon_H38.
% 0.18/0.50 generalize (zenon_H38 zenon_TD_bz). zenon_intro zenon_H39.
% 0.18/0.50 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H36; zenon_intro zenon_H3a ].
% 0.18/0.50 exact (zenon_H3c zenon_H36).
% 0.18/0.50 generalize (s8_domain_1__e1_22__relset_2 zenon_TA_bm). zenon_intro zenon_H3d.
% 0.18/0.50 generalize (zenon_H3d zenon_TB_br). zenon_intro zenon_H3e.
% 0.18/0.50 generalize (zenon_H3e zenon_TC_bu). zenon_intro zenon_H3f.
% 0.18/0.50 generalize (zenon_H3f zenon_TD_bz). zenon_intro zenon_H40.
% 0.18/0.50 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.18/0.50 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 0.18/0.50 exact (zenon_H44 zenon_H29).
% 0.18/0.50 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H3c ].
% 0.18/0.50 exact (zenon_H45 zenon_H31).
% 0.18/0.50 generalize (redefinition_m2_relset_1 zenon_TA_bm). zenon_intro zenon_H37.
% 0.18/0.50 generalize (zenon_H37 zenon_TB_br). zenon_intro zenon_H38.
% 0.18/0.50 generalize (zenon_H38 zenon_TD_bz). zenon_intro zenon_H39.
% 0.18/0.50 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H36; zenon_intro zenon_H3a ].
% 0.18/0.50 exact (zenon_H3b zenon_H3a).
% 0.18/0.50 exact (zenon_H3c zenon_H36).
% 0.18/0.50 exact (zenon_H35 zenon_H41).
% 0.18/0.50 Qed.
% 0.18/0.50 % SZS output end Proof
% 0.18/0.50 (* END-PROOF *)
% 0.18/0.50 nodes searched: 218
% 0.18/0.50 max branch formulas: 248
% 0.18/0.50 proof nodes created: 28
% 0.18/0.50 formulas created: 1990
% 0.18/0.50
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