%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 15:59:08 EDT 2022 % Result : Theorem 210.06s 210.33s % Output : Proof 210.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SEU041+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.11/0.33 % Computer : n024.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jun 20 11:08:17 EDT 2022 % 0.11/0.33 % CPUTime : % 210.06/210.33 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 210.06/210.33 (* PROOF-FOUND *) % 210.06/210.33 % SZS status Theorem % 210.06/210.33 (* BEGIN-PROOF *) % 210.06/210.33 % SZS output start Proof % 210.06/210.33 Theorem t82_funct_1 : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((relation C)/\(function C))->((subset A B)->(((relation_dom_restriction (relation_dom_restriction C A) B) = (relation_dom_restriction C A))/\((relation_dom_restriction (relation_dom_restriction C B) A) = (relation_dom_restriction C A)))))))). % 210.06/210.33 Proof. % 210.06/210.33 apply NNPP. intro zenon_G. % 210.06/210.33 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((relation C)/\(function C))->((subset A B)->(((relation_dom_restriction (relation_dom_restriction C A) B) = (relation_dom_restriction C A))/\((relation_dom_restriction (relation_dom_restriction C B) A) = (relation_dom_restriction C A)))))))) zenon_G); [ zenon_intro zenon_H22; idtac ]. % 210.06/210.33 elim zenon_H22. zenon_intro zenon_TA_bj. zenon_intro zenon_H24. % 210.06/210.33 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((relation C)/\(function C))->((subset zenon_TA_bj B)->(((relation_dom_restriction (relation_dom_restriction C zenon_TA_bj) B) = (relation_dom_restriction C zenon_TA_bj))/\((relation_dom_restriction (relation_dom_restriction C B) zenon_TA_bj) = (relation_dom_restriction C zenon_TA_bj))))))) zenon_H24); [ zenon_intro zenon_H25; idtac ]. % 210.06/210.33 elim zenon_H25. zenon_intro zenon_TB_bm. zenon_intro zenon_H27. % 210.06/210.33 apply (zenon_notallex_s (fun C : zenon_U => (((relation C)/\(function C))->((subset zenon_TA_bj zenon_TB_bm)->(((relation_dom_restriction (relation_dom_restriction C zenon_TA_bj) zenon_TB_bm) = (relation_dom_restriction C zenon_TA_bj))/\((relation_dom_restriction (relation_dom_restriction C zenon_TB_bm) zenon_TA_bj) = (relation_dom_restriction C zenon_TA_bj)))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 210.06/210.33 elim zenon_H28. zenon_intro zenon_TC_bp. zenon_intro zenon_H2a. % 210.06/210.33 apply (zenon_notimply_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 210.06/210.33 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 210.06/210.33 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 210.06/210.33 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ]. % 210.06/210.33 generalize (t102_relat_1 zenon_TA_bj). zenon_intro zenon_H33. % 210.06/210.33 generalize (zenon_H33 zenon_TB_bm). zenon_intro zenon_H34. % 210.06/210.33 generalize (zenon_H34 zenon_TC_bp). zenon_intro zenon_H35. % 210.06/210.33 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 210.06/210.33 exact (zenon_H37 zenon_H30). % 210.06/210.33 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 210.06/210.33 exact (zenon_H39 zenon_H2e). % 210.06/210.33 exact (zenon_H32 zenon_H38). % 210.06/210.33 generalize (t103_relat_1 zenon_TA_bj). zenon_intro zenon_H3a. % 210.06/210.33 generalize (zenon_H3a zenon_TB_bm). zenon_intro zenon_H3b. % 210.06/210.33 generalize (zenon_H3b zenon_TC_bp). zenon_intro zenon_H3c. % 210.06/210.33 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H37 | zenon_intro zenon_H3d ]. % 210.06/210.33 exact (zenon_H37 zenon_H30). % 210.06/210.33 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H39 | zenon_intro zenon_H3e ]. % 210.06/210.33 exact (zenon_H39 zenon_H2e). % 210.06/210.33 exact (zenon_H31 zenon_H3e). % 210.06/210.33 Qed. % 210.06/210.33 % SZS output end Proof % 210.06/210.33 (* END-PROOF *) % 210.06/210.33 nodes searched: 1285356 % 210.06/210.33 max branch formulas: 16009 % 210.06/210.33 proof nodes created: 31571 % 210.06/210.33 formulas created: 2776358 % 210.06/210.33 %------------------------------------------------------------------------------