%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM610+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 : Mon Jul 18 15:57:19 EDT 2022 % Result : Theorem 0.48s 0.66s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM610+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n013.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 : Wed Jul 6 01:09:14 EDT 2022 % 0.12/0.33 % CPUTime : % 0.48/0.66 (* PROOF-FOUND *) % 0.48/0.66 % SZS status Theorem % 0.48/0.66 (* BEGIN-PROOF *) % 0.48/0.66 % SZS output start Proof % 0.48/0.66 Theorem m__ : ((forall W0 : zenon_U, ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xO))))\/(aSubsetOf0 (xP) (xO))). % 0.48/0.66 Proof. % 0.48/0.66 apply NNPP. intro zenon_G. % 0.48/0.66 apply (zenon_and_s _ _ m__5078). zenon_intro zenon_H6c. zenon_intro zenon_H6b. % 0.48/0.66 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.48/0.66 apply (zenon_and_s _ _ m__5164). zenon_intro zenon_H70. zenon_intro zenon_H6f. % 0.48/0.66 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H72. zenon_intro zenon_H71. % 0.48/0.66 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_H74. zenon_intro zenon_H73. % 0.48/0.66 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H76. zenon_intro zenon_H75. % 0.48/0.66 apply (zenon_notallex_s (fun W0 : zenon_U => ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xO)))) zenon_H76); [ zenon_intro zenon_H77; idtac ]. % 0.48/0.66 elim zenon_H77. zenon_intro zenon_TW0_eq. zenon_intro zenon_H79. % 0.48/0.66 apply (zenon_notimply_s _ _ zenon_H79). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.48/0.66 generalize (zenon_H6e zenon_TW0_eq). zenon_intro zenon_H7c. % 0.48/0.66 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H7e | zenon_intro zenon_H7d ]. % 0.48/0.66 generalize (zenon_H74 zenon_TW0_eq). zenon_intro zenon_H7f. % 0.48/0.66 apply (zenon_equiv_s _ _ zenon_H7f); [ zenon_intro zenon_H82; zenon_intro zenon_H81 | zenon_intro zenon_H7b; zenon_intro zenon_H80 ]. % 0.48/0.66 exact (zenon_H82 zenon_H7b). % 0.48/0.66 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H84. zenon_intro zenon_H83. % 0.48/0.66 apply (zenon_and_s _ _ zenon_H83). zenon_intro zenon_H86. zenon_intro zenon_H85. % 0.48/0.66 exact (zenon_H7e zenon_H86). % 0.48/0.66 exact (zenon_H7a zenon_H7d). % 0.48/0.66 Qed. % 0.48/0.66 % SZS output end Proof % 0.48/0.66 (* END-PROOF *) % 0.48/0.66 nodes searched: 2800 % 0.48/0.66 max branch formulas: 2000 % 0.48/0.66 proof nodes created: 52 % 0.48/0.66 formulas created: 35968 % 0.48/0.66 %------------------------------------------------------------------------------