TSTP Solution File: SET625+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n029.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 06:37:30 EDT 2022
% Result : Theorem 0.20s 0.51s
% 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
% 0.10/0.13 % Problem : SET625+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 11:25:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 Theorem prove_th101 : (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (((intersect B C)/\(subset C D))->(intersect B D))))).
% 0.20/0.51 Proof.
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (((intersect B C)/\(subset C D))->(intersect B D))))) zenon_G); [ zenon_intro zenon_H5; idtac ].
% 0.20/0.51 elim zenon_H5. zenon_intro zenon_TB_g. zenon_intro zenon_H7.
% 0.20/0.51 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (((intersect zenon_TB_g C)/\(subset C D))->(intersect zenon_TB_g D)))) zenon_H7); [ zenon_intro zenon_H8; idtac ].
% 0.20/0.51 elim zenon_H8. zenon_intro zenon_TC_j. zenon_intro zenon_Ha.
% 0.20/0.51 apply (zenon_notallex_s (fun D : zenon_U => (((intersect zenon_TB_g zenon_TC_j)/\(subset zenon_TC_j D))->(intersect zenon_TB_g D))) zenon_Ha); [ zenon_intro zenon_Hb; idtac ].
% 0.20/0.51 elim zenon_Hb. zenon_intro zenon_TD_m. zenon_intro zenon_Hd.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H11. zenon_intro zenon_H10.
% 0.20/0.51 generalize (intersect_defn zenon_TB_g). zenon_intro zenon_H12.
% 0.20/0.51 generalize (zenon_H12 zenon_TC_j). zenon_intro zenon_H13.
% 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H16; zenon_intro zenon_H15 | zenon_intro zenon_H11; zenon_intro zenon_H14 ].
% 0.20/0.51 exact (zenon_H16 zenon_H11).
% 0.20/0.51 elim zenon_H14. zenon_intro zenon_TD_x. zenon_intro zenon_H18.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.20/0.51 generalize (subset_defn zenon_TC_j). zenon_intro zenon_H1b.
% 0.20/0.51 generalize (zenon_H1b zenon_TD_m). zenon_intro zenon_H1c.
% 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H1c); [ zenon_intro zenon_H1f; zenon_intro zenon_H1e | zenon_intro zenon_H10; zenon_intro zenon_H1d ].
% 0.20/0.51 exact (zenon_H1f zenon_H10).
% 0.20/0.51 generalize (intersect_defn zenon_TB_g). zenon_intro zenon_H12.
% 0.20/0.51 generalize (zenon_H12 zenon_TD_m). zenon_intro zenon_H20.
% 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H20); [ zenon_intro zenon_He; zenon_intro zenon_H23 | zenon_intro zenon_H22; zenon_intro zenon_H21 ].
% 0.20/0.51 generalize (zenon_H1d zenon_TD_x). zenon_intro zenon_H24.
% 0.20/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 0.20/0.51 exact (zenon_H26 zenon_H19).
% 0.20/0.51 apply zenon_H23. exists zenon_TD_x. apply NNPP. zenon_intro zenon_H27.
% 0.20/0.51 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 0.20/0.51 exact (zenon_H29 zenon_H1a).
% 0.20/0.51 exact (zenon_H28 zenon_H25).
% 0.20/0.51 exact (zenon_He zenon_H22).
% 0.20/0.51 Qed.
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51 (* END-PROOF *)
% 0.20/0.51 nodes searched: 32
% 0.20/0.51 max branch formulas: 29
% 0.20/0.51 proof nodes created: 20
% 0.20/0.51 formulas created: 236
% 0.20/0.51
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