%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM557+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 15:56:48 EDT 2022 % Result : Theorem 0.17s 0.48s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : NUM557+3 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n010.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Thu Jul 7 06:48:16 EDT 2022 % 0.12/0.32 % CPUTime : % 0.17/0.48 (* PROOF-FOUND *) % 0.17/0.48 % SZS status Theorem % 0.17/0.48 (* BEGIN-PROOF *) % 0.17/0.48 % SZS output start Proof % 0.17/0.48 Theorem m__ : ((((forall W0 : zenon_U, ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xS))))\/(aSubsetOf0 (xP) (xS)))/\((sbrdtbr0 (xP)) = (xk)))\/(aElementOf0 (xP) (slbdtsldtrb0 (xS) (xk)))). % 0.17/0.48 Proof. % 0.17/0.48 apply NNPP. intro zenon_G. % 0.17/0.48 apply (zenon_and_s _ _ m__2431). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.17/0.48 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.17/0.48 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.17/0.48 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.17/0.48 apply (zenon_notor_s _ _ zenon_H4f). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.17/0.48 exact (zenon_H51 zenon_H49). % 0.17/0.48 exact (zenon_H4e zenon_H4a). % 0.17/0.48 Qed. % 0.17/0.48 % SZS output end Proof % 0.17/0.48 (* END-PROOF *) % 0.17/0.48 nodes searched: 18 % 0.17/0.48 max branch formulas: 112 % 0.17/0.48 proof nodes created: 6 % 0.17/0.48 formulas created: 1384 % 0.17/0.48 %------------------------------------------------------------------------------