%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 15:59:07 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU040+1 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n018.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 : Sat Jun 18 22:01:18 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.50 Zenon warning: unused variable (B : zenon_U) in reflexivity_r1_tarski % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem t76_funct_1 : (forall A : zenon_U, (forall B : zenon_U, (((relation B)/\(function B))->((subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))/\(subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (((relation B)/\(function B))->((subset (relation_dom (relation_dom_restriction B A)) (relation_dom B))/\(subset (relation_rng (relation_dom_restriction B A)) (relation_rng B)))))) zenon_G); [ zenon_intro zenon_H26; idtac ]. % 0.19/0.50 elim zenon_H26. zenon_intro zenon_TA_bn. zenon_intro zenon_H28. % 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (((relation B)/\(function B))->((subset (relation_dom (relation_dom_restriction B zenon_TA_bn)) (relation_dom B))/\(subset (relation_rng (relation_dom_restriction B zenon_TA_bn)) (relation_rng B))))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.19/0.50 elim zenon_H29. zenon_intro zenon_TB_bq. zenon_intro zenon_H2b. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 0.19/0.50 generalize (t89_relat_1 zenon_TA_bn). zenon_intro zenon_H32. % 0.19/0.50 generalize (zenon_H32 zenon_TB_bq). zenon_intro zenon_H33. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ]. % 0.19/0.50 exact (zenon_H35 zenon_H2f). % 0.19/0.50 exact (zenon_H31 zenon_H34). % 0.19/0.50 generalize (t99_relat_1 zenon_TA_bn). zenon_intro zenon_H36. % 0.19/0.50 generalize (zenon_H36 zenon_TB_bq). zenon_intro zenon_H37. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H35 | zenon_intro zenon_H38 ]. % 0.19/0.50 exact (zenon_H35 zenon_H2f). % 0.19/0.50 exact (zenon_H30 zenon_H38). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 278 % 0.19/0.50 max branch formulas: 203 % 0.19/0.50 proof nodes created: 16 % 0.19/0.50 formulas created: 1357 % 0.19/0.50 %------------------------------------------------------------------------------