%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU294+3 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n009.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 : Mon Jun 20 09:19:07 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem t13_finset_1 : (forall A : zenon_U, (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((subset A B)/\(finite B))->(finite A)))) zenon_G); [ zenon_intro zenon_H36; idtac ]. % 0.18/0.49 elim zenon_H36. zenon_intro zenon_TA_cd. zenon_intro zenon_H38. % 0.18/0.49 apply (zenon_notallex_s (fun B : zenon_U => (((subset zenon_TA_cd B)/\(finite B))->(finite zenon_TA_cd))) zenon_H38); [ zenon_intro zenon_H39; idtac ]. % 0.18/0.49 elim zenon_H39. zenon_intro zenon_TB_cg. zenon_intro zenon_H3b. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.18/0.49 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.18/0.49 generalize (t3_subset zenon_TA_cd). zenon_intro zenon_H40. % 0.18/0.49 generalize (zenon_H40 zenon_TB_cg). zenon_intro zenon_H41. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H42; zenon_intro zenon_H3f ]. % 0.18/0.49 exact (zenon_H43 zenon_H3f). % 0.18/0.49 generalize (cc2_finset_1 zenon_TB_cg). zenon_intro zenon_H45. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.18/0.49 exact (zenon_H47 zenon_H3e). % 0.18/0.49 generalize (zenon_H46 zenon_TA_cd). zenon_intro zenon_H48. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H49 ]. % 0.18/0.49 exact (zenon_H44 zenon_H42). % 0.18/0.49 exact (zenon_H3c zenon_H49). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 261 % 0.18/0.49 max branch formulas: 373 % 0.18/0.49 proof nodes created: 23 % 0.18/0.49 formulas created: 2036 % 0.18/0.49 %------------------------------------------------------------------------------