%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0. % 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 06:37:55 EDT 2022 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n014.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 12:24:20 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.52 (* PROOF-FOUND *) % 0.20/0.52 % SZS status Theorem % 0.20/0.52 (* BEGIN-PROOF *) % 0.20/0.52 % SZS output start Proof % 0.20/0.52 Theorem prove_relset_1_41 : (forall B : zenon_U, ((ilf_type B (set_type))->(ilf_type (cross_product B B) (identity_relation_of_type B)))). % 0.20/0.52 Proof. % 0.20/0.52 apply NNPP. intro zenon_G. % 0.20/0.52 apply (zenon_notallex_s (fun B : zenon_U => ((ilf_type B (set_type))->(ilf_type (cross_product B B) (identity_relation_of_type B)))) zenon_G); [ zenon_intro zenon_H14; idtac ]. % 0.20/0.52 elim zenon_H14. zenon_intro zenon_TB_v. zenon_intro zenon_H16. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.20/0.52 generalize (p4 zenon_TB_v). zenon_intro zenon_H19. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.20/0.52 exact (zenon_H1b zenon_H18). % 0.20/0.52 generalize (zenon_H1a (cross_product zenon_TB_v zenon_TB_v)). zenon_intro zenon_H1c. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.20/0.52 generalize (p3 zenon_TB_v). zenon_intro zenon_H1f. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H1b | zenon_intro zenon_H20 ]. % 0.20/0.52 exact (zenon_H1b zenon_H18). % 0.20/0.52 generalize (zenon_H20 zenon_TB_v). zenon_intro zenon_H21. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H21); [ zenon_intro zenon_H1b | zenon_intro zenon_H22 ]. % 0.20/0.52 exact (zenon_H1b zenon_H18). % 0.20/0.52 exact (zenon_H1e zenon_H22). % 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H1d); [ zenon_intro zenon_H17; zenon_intro zenon_H25 | zenon_intro zenon_H24; zenon_intro zenon_H23 ]. % 0.20/0.52 generalize (p1 zenon_TB_v). zenon_intro zenon_H26. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H1b | zenon_intro zenon_H27 ]. % 0.20/0.52 exact (zenon_H1b zenon_H18). % 0.20/0.52 generalize (zenon_H27 zenon_TB_v). zenon_intro zenon_H28. % 0.20/0.52 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H1b | zenon_intro zenon_H23 ]. % 0.20/0.52 exact (zenon_H1b zenon_H18). % 0.20/0.52 exact (zenon_H25 zenon_H23). % 0.20/0.52 exact (zenon_H17 zenon_H24). % 0.20/0.52 Qed. % 0.20/0.52 % SZS output end Proof % 0.20/0.52 (* END-PROOF *) % 0.20/0.52 nodes searched: 186 % 0.20/0.52 max branch formulas: 195 % 0.20/0.52 proof nodes created: 28 % 0.20/0.52 formulas created: 1505 % 0.20/0.52 %------------------------------------------------------------------------------