TSTP Solution File: SET602+4 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% 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 : Tue Jul 19 06:37:14 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SET602+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.12 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 20:27:52 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.51 (* PROOF-FOUND *)
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 (* BEGIN-PROOF *)
% 0.19/0.51 % SZS output start Proof
% 0.19/0.51 Theorem thI29 : (forall E : zenon_U, (equal_set (difference E E) (empty_set))).
% 0.19/0.51 Proof.
% 0.19/0.51 apply NNPP. intro zenon_G.
% 0.19/0.51 apply (zenon_notallex_s (fun E : zenon_U => (equal_set (difference E E) (empty_set))) zenon_G); [ zenon_intro zenon_Hc; idtac ].
% 0.19/0.51 elim zenon_Hc. zenon_intro zenon_TE_n. zenon_intro zenon_He.
% 0.19/0.51 generalize (equal_set (difference zenon_TE_n zenon_TE_n)). zenon_intro zenon_Hf.
% 0.19/0.51 generalize (zenon_Hf (empty_set)). zenon_intro zenon_H10.
% 0.19/0.51 apply (zenon_equiv_s _ _ zenon_H10); [ zenon_intro zenon_He; zenon_intro zenon_H13 | zenon_intro zenon_H12; zenon_intro zenon_H11 ].
% 0.19/0.51 apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ].
% 0.19/0.51 generalize (subset (difference zenon_TE_n zenon_TE_n)). zenon_intro zenon_H16.
% 0.19/0.51 generalize (zenon_H16 (empty_set)). zenon_intro zenon_H17.
% 0.19/0.51 apply (zenon_equiv_s _ _ zenon_H17); [ zenon_intro zenon_H15; zenon_intro zenon_H1a | zenon_intro zenon_H19; zenon_intro zenon_H18 ].
% 0.19/0.51 apply (zenon_notallex_s (fun X : zenon_U => ((member X (difference zenon_TE_n zenon_TE_n))->(member X (empty_set)))) zenon_H1a); [ zenon_intro zenon_H1b; idtac ].
% 0.19/0.51 elim zenon_H1b. zenon_intro zenon_TX_bc. zenon_intro zenon_H1d.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.19/0.51 generalize (difference zenon_TX_bc). zenon_intro zenon_H20.
% 0.19/0.51 generalize (zenon_H20 zenon_TE_n). zenon_intro zenon_H21.
% 0.19/0.51 generalize (zenon_H21 zenon_TE_n). zenon_intro zenon_H22.
% 0.19/0.51 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H25; zenon_intro zenon_H24 | zenon_intro zenon_H1f; zenon_intro zenon_H23 ].
% 0.19/0.51 exact (zenon_H25 zenon_H1f).
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H23). zenon_intro zenon_H27. zenon_intro zenon_H26.
% 0.19/0.51 exact (zenon_H26 zenon_H27).
% 0.19/0.51 exact (zenon_H15 zenon_H19).
% 0.19/0.51 generalize (subset (empty_set)). zenon_intro zenon_H28.
% 0.19/0.51 generalize (zenon_H28 (difference zenon_TE_n zenon_TE_n)). zenon_intro zenon_H29.
% 0.19/0.51 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H14; zenon_intro zenon_H2c | zenon_intro zenon_H2b; zenon_intro zenon_H2a ].
% 0.19/0.51 apply (zenon_notallex_s (fun X : zenon_U => ((member X (empty_set))->(member X (difference zenon_TE_n zenon_TE_n)))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ].
% 0.19/0.51 elim zenon_H2d. zenon_intro zenon_TX_bu. zenon_intro zenon_H2f.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.19/0.51 generalize (empty_set zenon_TX_bu). zenon_intro zenon_H32.
% 0.19/0.51 exact (zenon_H32 zenon_H31).
% 0.19/0.51 exact (zenon_H14 zenon_H2b).
% 0.19/0.51 exact (zenon_He zenon_H12).
% 0.19/0.51 Qed.
% 0.19/0.51 % SZS output end Proof
% 0.19/0.51 (* END-PROOF *)
% 0.19/0.51 nodes searched: 530
% 0.19/0.51 max branch formulas: 274
% 0.19/0.51 proof nodes created: 40
% 0.19/0.51 formulas created: 3599
% 0.19/0.51
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