%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV400+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 23:04:13 EDT 2022 % Result : Theorem 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SWV400+1 : TPTP v8.1.0. Released v3.3.0. % 0.13/0.14 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n026.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 : Wed Jun 15 11:05:07 EDT 2022 % 0.13/0.36 % CPUTime : % 0.21/0.53 Zenon warning: unused variable (U : zenon_U) in zenon_G % 0.21/0.53 (* PROOF-FOUND *) % 0.21/0.53 % SZS status Theorem % 0.21/0.53 (* BEGIN-PROOF *) % 0.21/0.53 % SZS output start Proof % 0.21/0.53 Theorem l36_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) V W)/\(less_than X W))->(pair_in_list (update_slb (create_slb) X) V W)))))). % 0.21/0.53 Proof. % 0.21/0.53 apply NNPP. intro zenon_G. % 0.21/0.53 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) V W)/\(less_than X W))->(pair_in_list (update_slb (create_slb) X) V W)))))) zenon_G); [ zenon_intro zenon_H13; idtac ]. % 0.21/0.53 elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15. % 0.21/0.53 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) V W)/\(less_than X W))->(pair_in_list (update_slb (create_slb) X) V W))))) zenon_H15); [ zenon_intro zenon_H16; idtac ]. % 0.21/0.53 elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18. % 0.21/0.53 apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (((pair_in_list (create_slb) zenon_TV_x W)/\(less_than X W))->(pair_in_list (update_slb (create_slb) X) zenon_TV_x W)))) zenon_H18); [ zenon_intro zenon_H19; idtac ]. % 0.21/0.53 elim zenon_H19. zenon_intro zenon_TW_ba. zenon_intro zenon_H1b. % 0.21/0.53 apply (zenon_notallex_s (fun X : zenon_U => (((pair_in_list (create_slb) zenon_TV_x zenon_TW_ba)/\(less_than X zenon_TW_ba))->(pair_in_list (update_slb (create_slb) X) zenon_TV_x zenon_TW_ba))) zenon_H1b); [ zenon_intro zenon_H1c; idtac ]. % 0.21/0.53 elim zenon_H1c. zenon_intro zenon_TX_bd. zenon_intro zenon_H1e. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.21/0.53 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.21/0.53 generalize (ax22 zenon_TV_x). zenon_intro zenon_H23. % 0.21/0.53 generalize (zenon_H23 zenon_TW_ba). zenon_intro zenon_H24. % 0.21/0.53 exact (zenon_H24 zenon_H22). % 0.21/0.53 Qed. % 0.21/0.53 % SZS output end Proof % 0.21/0.53 (* END-PROOF *) % 0.21/0.53 nodes searched: 163 % 0.21/0.53 max branch formulas: 135 % 0.21/0.53 proof nodes created: 21 % 0.21/0.53 formulas created: 1192 % 0.21/0.53 %------------------------------------------------------------------------------