%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM609+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 0.41s 0.59s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : NUM609+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n008.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 : Thu Jul 7 23:15:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.41/0.59 (* PROOF-FOUND *) % 0.41/0.59 % SZS status Theorem % 0.41/0.59 (* BEGIN-PROOF *) % 0.41/0.59 % SZS output start Proof % 0.41/0.59 Theorem m__ : ((forall W0 : zenon_U, ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xQ))))\/(aSubsetOf0 (xP) (xQ))). % 0.41/0.59 Proof. % 0.41/0.59 apply NNPP. intro zenon_G. % 0.41/0.59 apply (zenon_and_s _ _ m__5164). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 0.41/0.59 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 0.41/0.59 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.41/0.59 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.41/0.59 apply (zenon_notallex_s (fun W0 : zenon_U => ((aElementOf0 W0 (xP))->(aElementOf0 W0 (xQ)))) zenon_H71); [ zenon_intro zenon_H72; idtac ]. % 0.41/0.59 elim zenon_H72. zenon_intro zenon_TW0_el. zenon_intro zenon_H74. % 0.41/0.59 apply (zenon_notimply_s _ _ zenon_H74). zenon_intro zenon_H76. zenon_intro zenon_H75. % 0.41/0.59 generalize (zenon_H6f zenon_TW0_el). zenon_intro zenon_H77. % 0.41/0.59 apply (zenon_equiv_s _ _ zenon_H77); [ zenon_intro zenon_H7a; zenon_intro zenon_H79 | zenon_intro zenon_H76; zenon_intro zenon_H78 ]. % 0.41/0.59 exact (zenon_H7a zenon_H76). % 0.41/0.59 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 0.41/0.59 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 0.41/0.59 exact (zenon_H75 zenon_H7e). % 0.41/0.59 Qed. % 0.41/0.59 % SZS output end Proof % 0.41/0.59 (* END-PROOF *) % 0.41/0.59 nodes searched: 1713 % 0.41/0.59 max branch formulas: 1576 % 0.41/0.59 proof nodes created: 28 % 0.41/0.59 formulas created: 25341 % 0.41/0.59 %------------------------------------------------------------------------------