TSTP Solution File: SET767+4 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 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 06:38:26 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.12 % 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 : Sat Jul 9 17:43:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.53 (* PROOF-FOUND *)
% 0.20/0.53 % SZS status Theorem
% 0.20/0.53 (* BEGIN-PROOF *)
% 0.20/0.53 % SZS output start Proof
% 0.20/0.53 Theorem thIII03 : (forall E : zenon_U, (forall R : zenon_U, (forall A : zenon_U, ((equivalence R E)->(subset (equivalence_class A E R) E))))).
% 0.20/0.53 Proof.
% 0.20/0.53 apply NNPP. intro zenon_G.
% 0.20/0.53 apply (zenon_notallex_s (fun E : zenon_U => (forall R : zenon_U, (forall A : zenon_U, ((equivalence R E)->(subset (equivalence_class A E R) E))))) zenon_G); [ zenon_intro zenon_H11; idtac ].
% 0.20/0.53 elim zenon_H11. zenon_intro zenon_TE_s. zenon_intro zenon_H13.
% 0.20/0.53 apply (zenon_notallex_s (fun R : zenon_U => (forall A : zenon_U, ((equivalence R zenon_TE_s)->(subset (equivalence_class A zenon_TE_s R) zenon_TE_s)))) zenon_H13); [ zenon_intro zenon_H14; idtac ].
% 0.20/0.53 elim zenon_H14. zenon_intro zenon_TR_v. zenon_intro zenon_H16.
% 0.20/0.53 apply (zenon_notallex_s (fun A : zenon_U => ((equivalence zenon_TR_v zenon_TE_s)->(subset (equivalence_class A zenon_TE_s zenon_TR_v) zenon_TE_s))) zenon_H16); [ zenon_intro zenon_H17; idtac ].
% 0.20/0.53 elim zenon_H17. zenon_intro zenon_TA_y. zenon_intro zenon_H19.
% 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.20/0.53 generalize (subset (equivalence_class zenon_TA_y zenon_TE_s zenon_TR_v)). zenon_intro zenon_H1c.
% 0.20/0.53 generalize (zenon_H1c zenon_TE_s). zenon_intro zenon_H1d.
% 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H1d); [ zenon_intro zenon_H1a; zenon_intro zenon_H20 | zenon_intro zenon_H1f; zenon_intro zenon_H1e ].
% 0.20/0.53 apply (zenon_notallex_s (fun X : zenon_U => ((member X (equivalence_class zenon_TA_y zenon_TE_s zenon_TR_v))->(member X zenon_TE_s))) zenon_H20); [ zenon_intro zenon_H21; idtac ].
% 0.20/0.53 elim zenon_H21. zenon_intro zenon_TX_bi. zenon_intro zenon_H23.
% 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H23). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 0.20/0.53 generalize (equivalence_class zenon_TR_v). zenon_intro zenon_H26.
% 0.20/0.53 generalize (zenon_H26 zenon_TE_s). zenon_intro zenon_H27.
% 0.20/0.53 generalize (zenon_H27 zenon_TA_y). zenon_intro zenon_H28.
% 0.20/0.53 generalize (zenon_H28 zenon_TX_bi). zenon_intro zenon_H29.
% 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H2c; zenon_intro zenon_H2b | zenon_intro zenon_H25; zenon_intro zenon_H2a ].
% 0.20/0.53 exact (zenon_H2c zenon_H25).
% 0.20/0.53 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.20/0.53 exact (zenon_H24 zenon_H2e).
% 0.20/0.53 exact (zenon_H1a zenon_H1f).
% 0.20/0.53 Qed.
% 0.20/0.53 % SZS output end Proof
% 0.20/0.53 (* END-PROOF *)
% 0.20/0.53 nodes searched: 1348
% 0.20/0.53 max branch formulas: 790
% 0.20/0.53 proof nodes created: 80
% 0.20/0.53 formulas created: 9381
% 0.20/0.53
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