%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV405+1 : TPTP v8.1.0. Released v3.3.0. % 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 : Wed Jul 20 23:04:14 EDT 2022 % Result : Theorem 0.38s 0.54s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV405+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n010.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 Jun 15 11:46:39 EDT 2022 % 0.12/0.33 % CPUTime : % 0.38/0.54 Zenon warning: unused variable (X : zenon_U) in ax47 % 0.38/0.54 Zenon warning: unused variable (X : zenon_U) in ax48 % 0.38/0.54 Zenon warning: unused variable (X : zenon_U) in ax49 % 0.38/0.54 Zenon warning: unused variable (X : zenon_U) in ax51 % 0.38/0.54 (* PROOF-FOUND *) % 0.38/0.54 % SZS status Theorem % 0.38/0.54 (* BEGIN-PROOF *) % 0.38/0.54 % SZS output start Proof % 0.38/0.54 Theorem l41_co : (forall U : zenon_U, (forall V : zenon_U, ((check_cpq (triple U (create_slb) V))<->(forall W : zenon_U, (forall X : zenon_U, ((pair_in_list (create_slb) W X)->(less_than X W))))))). % 0.38/0.54 Proof. % 0.38/0.54 apply NNPP. intro zenon_G. % 0.38/0.54 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, ((check_cpq (triple U (create_slb) V))<->(forall W : zenon_U, (forall X : zenon_U, ((pair_in_list (create_slb) W X)->(less_than X W))))))) zenon_G); [ zenon_intro zenon_H2a; idtac ]. % 0.38/0.54 elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c. % 0.38/0.54 apply (zenon_notallex_s (fun V : zenon_U => ((check_cpq (triple zenon_TU_br (create_slb) V))<->(forall W : zenon_U, (forall X : zenon_U, ((pair_in_list (create_slb) W X)->(less_than X W)))))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.38/0.54 elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f. % 0.38/0.54 apply (zenon_notequiv_s _ _ zenon_H2f); [ zenon_intro zenon_H33; zenon_intro zenon_H32 | zenon_intro zenon_H31; zenon_intro zenon_H30 ]. % 0.38/0.54 generalize (ax36 zenon_TU_br). zenon_intro zenon_H34. % 0.38/0.54 generalize (zenon_H34 zenon_TV_bu). zenon_intro zenon_H31. % 0.38/0.54 exact (zenon_H33 zenon_H31). % 0.38/0.54 apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, ((pair_in_list (create_slb) W X)->(less_than X W)))) zenon_H30); [ zenon_intro zenon_H35; idtac ]. % 0.38/0.54 elim zenon_H35. zenon_intro zenon_TW_cc. zenon_intro zenon_H37. % 0.38/0.54 apply (zenon_notallex_s (fun X : zenon_U => ((pair_in_list (create_slb) zenon_TW_cc X)->(less_than X zenon_TW_cc))) zenon_H37); [ zenon_intro zenon_H38; idtac ]. % 0.38/0.54 elim zenon_H38. zenon_intro zenon_TX_cf. zenon_intro zenon_H3a. % 0.38/0.54 apply (zenon_notimply_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.38/0.54 generalize (ax22 zenon_TW_cc). zenon_intro zenon_H3d. % 0.38/0.54 generalize (zenon_H3d zenon_TX_cf). zenon_intro zenon_H3e. % 0.38/0.54 exact (zenon_H3e zenon_H3c). % 0.38/0.54 Qed. % 0.38/0.54 % SZS output end Proof % 0.38/0.54 (* END-PROOF *) % 0.38/0.54 nodes searched: 935 % 0.38/0.54 max branch formulas: 397 % 0.38/0.54 proof nodes created: 42 % 0.38/0.54 formulas created: 6545 % 0.38/0.54 %------------------------------------------------------------------------------