%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 15:59:28 EDT 2022 % Result : Theorem 0.15s 0.42s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.05/0.10 % Problem : SEU121+1 : TPTP v8.1.0. Released v3.3.0. % 0.05/0.11 % Command : run_zenon %s %d % 0.11/0.30 % Computer : n032.cluster.edu % 0.11/0.30 % Model : x86_64 x86_64 % 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.30 % Memory : 8042.1875MB % 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.30 % CPULimit : 300 % 0.11/0.30 % WCLimit : 600 % 0.11/0.30 % DateTime : Mon Jun 20 06:55:18 EDT 2022 % 0.11/0.30 % CPUTime : % 0.15/0.42 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.15/0.42 (* PROOF-FOUND *) % 0.15/0.42 % SZS status Theorem % 0.15/0.42 (* BEGIN-PROOF *) % 0.15/0.42 % SZS output start Proof % 0.15/0.42 Theorem t1_xboole_1 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\(subset B C))->(subset A C))))). % 0.15/0.42 Proof. % 0.15/0.42 apply NNPP. intro zenon_G. % 0.15/0.42 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((subset A B)/\(subset B C))->(subset A C))))) zenon_G); [ zenon_intro zenon_Hb; idtac ]. % 0.15/0.42 elim zenon_Hb. zenon_intro zenon_TA_m. zenon_intro zenon_Hd. % 0.15/0.42 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((subset zenon_TA_m B)/\(subset B C))->(subset zenon_TA_m C)))) zenon_Hd); [ zenon_intro zenon_He; idtac ]. % 0.15/0.42 elim zenon_He. zenon_intro zenon_TB_p. zenon_intro zenon_H10. % 0.15/0.42 apply (zenon_notallex_s (fun C : zenon_U => (((subset zenon_TA_m zenon_TB_p)/\(subset zenon_TB_p C))->(subset zenon_TA_m C))) zenon_H10); [ zenon_intro zenon_H11; idtac ]. % 0.15/0.42 elim zenon_H11. zenon_intro zenon_TC_s. zenon_intro zenon_H13. % 0.15/0.42 apply (zenon_notimply_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.15/0.42 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.15/0.42 generalize (d3_tarski zenon_TA_m). zenon_intro zenon_H18. % 0.15/0.42 generalize (zenon_H18 zenon_TB_p). zenon_intro zenon_H19. % 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H1c; zenon_intro zenon_H1b | zenon_intro zenon_H17; zenon_intro zenon_H1a ]. % 0.15/0.42 exact (zenon_H1c zenon_H17). % 0.15/0.42 generalize (d3_tarski zenon_TB_p). zenon_intro zenon_H1d. % 0.15/0.42 generalize (zenon_H1d zenon_TC_s). zenon_intro zenon_H1e. % 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H1e); [ zenon_intro zenon_H21; zenon_intro zenon_H20 | zenon_intro zenon_H16; zenon_intro zenon_H1f ]. % 0.15/0.42 exact (zenon_H21 zenon_H16). % 0.15/0.42 generalize (d3_tarski zenon_TA_m). zenon_intro zenon_H18. % 0.15/0.42 generalize (zenon_H18 zenon_TC_s). zenon_intro zenon_H22. % 0.15/0.42 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H14; zenon_intro zenon_H25 | zenon_intro zenon_H24; zenon_intro zenon_H23 ]. % 0.15/0.42 apply (zenon_notallex_s (fun C : zenon_U => ((in C zenon_TA_m)->(in C zenon_TC_s))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.15/0.42 elim zenon_H26. zenon_intro zenon_TC_bn. zenon_intro zenon_H28. % 0.15/0.42 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29. % 0.15/0.42 generalize (zenon_H1f zenon_TC_bn). zenon_intro zenon_H2b. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.15/0.42 generalize (zenon_H1a zenon_TC_bn). zenon_intro zenon_H2e. % 0.15/0.42 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 0.15/0.42 exact (zenon_H30 zenon_H2a). % 0.15/0.42 exact (zenon_H2d zenon_H2f). % 0.15/0.42 exact (zenon_H29 zenon_H2c). % 0.15/0.42 exact (zenon_H14 zenon_H24). % 0.15/0.42 Qed. % 0.15/0.42 % SZS output end Proof % 0.15/0.42 (* END-PROOF *) % 0.15/0.42 nodes searched: 68 % 0.15/0.42 max branch formulas: 70 % 0.15/0.42 proof nodes created: 22 % 0.15/0.42 formulas created: 484 % 0.15/0.42 %------------------------------------------------------------------------------