%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV392+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 : Wed Jul 20 23:04:11 EDT 2022 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SWV392+1 : TPTP v8.1.0. Released v3.3.0. % 0.08/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n014.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Thu Jun 16 02:51:50 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.52 (* PROOF-FOUND *) % 0.20/0.52 % SZS status Theorem % 0.20/0.52 (* BEGIN-PROOF *) % 0.20/0.52 % SZS output start Proof % 0.20/0.52 Theorem l28_co : (forall U : zenon_U, (forall V : zenon_U, ((pair_in_list (create_slb) U V)->(forall W : zenon_U, ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) U V)\/(U = W))))))). % 0.20/0.52 Proof. % 0.20/0.52 apply NNPP. intro zenon_G. % 0.20/0.52 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, ((pair_in_list (create_slb) U V)->(forall W : zenon_U, ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) U V)\/(U = W))))))) zenon_G); [ zenon_intro zenon_H13; idtac ]. % 0.20/0.52 elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15. % 0.20/0.52 apply (zenon_notallex_s (fun V : zenon_U => ((pair_in_list (create_slb) zenon_TU_u V)->(forall W : zenon_U, ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) zenon_TU_u V)\/(zenon_TU_u = W)))))) zenon_H15); [ zenon_intro zenon_H16; idtac ]. % 0.20/0.52 elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.20/0.52 apply (zenon_notallex_s (fun W : zenon_U => ((contains_slb (create_slb) W)->((pair_in_list (remove_slb (create_slb) W) zenon_TU_u zenon_TV_x)\/(zenon_TU_u = W)))) zenon_H19); [ zenon_intro zenon_H1b; idtac ]. % 0.20/0.52 elim zenon_H1b. zenon_intro zenon_TW_bc. zenon_intro zenon_H1d. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.20/0.52 generalize (ax20 zenon_TW_bc). zenon_intro zenon_H20. % 0.20/0.52 exact (zenon_H20 zenon_H1f). % 0.20/0.52 Qed. % 0.20/0.52 % SZS output end Proof % 0.20/0.52 (* END-PROOF *) % 0.20/0.52 nodes searched: 74 % 0.20/0.52 max branch formulas: 91 % 0.20/0.52 proof nodes created: 7 % 0.20/0.52 formulas created: 763 % 0.20/0.52 %------------------------------------------------------------------------------