%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU294+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 16:00:57 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU294+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n028.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jun 20 04:42:16 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.51 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 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 t13_finset_1 : (forall A : zenon_U, (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))) zenon_G); [ zenon_intro zenon_H2e; idtac ]. % 0.20/0.51 elim zenon_H2e. zenon_intro zenon_TA_bv. zenon_intro zenon_H30. % 0.20/0.51 apply (zenon_notallex_s (fun B : zenon_U => (((subset zenon_TA_bv B)/\(finite B))->(finite zenon_TA_bv))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.20/0.51 elim zenon_H31. zenon_intro zenon_TB_by. zenon_intro zenon_H33. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.20/0.51 generalize (t3_subset zenon_TA_bv). zenon_intro zenon_H38. % 0.20/0.51 generalize (zenon_H38 zenon_TB_by). zenon_intro zenon_H39. % 0.20/0.51 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H37 ]. % 0.20/0.51 exact (zenon_H3b zenon_H37). % 0.20/0.51 generalize (cc2_finset_1 zenon_TB_by). zenon_intro zenon_H3d. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.20/0.51 exact (zenon_H3f zenon_H36). % 0.20/0.51 generalize (zenon_H3e zenon_TA_bv). zenon_intro zenon_H40. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H3c | zenon_intro zenon_H41 ]. % 0.20/0.51 exact (zenon_H3c zenon_H3a). % 0.20/0.51 exact (zenon_H34 zenon_H41). % 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: 238 % 0.20/0.51 max branch formulas: 318 % 0.20/0.51 proof nodes created: 23 % 0.20/0.51 formulas created: 1769 % 0.20/0.51 %------------------------------------------------------------------------------