%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV386+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 23:04:10 EDT 2022 % Result : Theorem 0.20s 0.55s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV386+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n022.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 15 17:36:17 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax47 % 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax48 % 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax49 % 0.20/0.55 Zenon warning: unused variable (X : zenon_U) in ax51 % 0.20/0.55 (* PROOF-FOUND *) % 0.20/0.55 % SZS status Theorem % 0.20/0.55 (* BEGIN-PROOF *) % 0.20/0.55 % SZS output start Proof % 0.20/0.55 Theorem l22_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple U V W) X)))\/(~(ok (insert_cpq (triple U V W) X))))))))). % 0.20/0.55 Proof. % 0.20/0.55 apply NNPP. intro zenon_G. % 0.20/0.55 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple U V W) X)))\/(~(ok (insert_cpq (triple U V W) X))))))))) zenon_G); [ zenon_intro zenon_H2b; idtac ]. % 0.20/0.55 elim zenon_H2b. zenon_intro zenon_TU_bs. zenon_intro zenon_H2d. % 0.20/0.55 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, ((~(check_cpq (triple zenon_TU_bs V W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple zenon_TU_bs V W) X)))\/(~(ok (insert_cpq (triple zenon_TU_bs V W) X)))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.20/0.55 elim zenon_H2e. zenon_intro zenon_TV_bv. zenon_intro zenon_H30. % 0.20/0.55 apply (zenon_notallex_s (fun W : zenon_U => ((~(check_cpq (triple zenon_TU_bs zenon_TV_bv W)))->(forall X : zenon_U, ((~(check_cpq (insert_cpq (triple zenon_TU_bs zenon_TV_bv W) X)))\/(~(ok (insert_cpq (triple zenon_TU_bs zenon_TV_bv W) X))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.20/0.55 elim zenon_H31. zenon_intro zenon_TW_by. zenon_intro zenon_H33. % 0.20/0.55 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.20/0.55 apply (zenon_notallex_s (fun X : zenon_U => ((~(check_cpq (insert_cpq (triple zenon_TU_bs zenon_TV_bv zenon_TW_by) X)))\/(~(ok (insert_cpq (triple zenon_TU_bs zenon_TV_bv zenon_TW_by) X))))) zenon_H34); [ zenon_intro zenon_H36; idtac ]. % 0.20/0.55 elim zenon_H36. zenon_intro zenon_TX_cd. zenon_intro zenon_H38. % 0.20/0.55 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.20/0.55 apply zenon_H3a. zenon_intro zenon_H3b. % 0.20/0.55 generalize (l22_l26 zenon_TU_bs). zenon_intro zenon_H3c. % 0.20/0.55 generalize (zenon_H3c zenon_TV_bv). zenon_intro zenon_H3d. % 0.20/0.55 generalize (zenon_H3d zenon_TW_by). zenon_intro zenon_H3e. % 0.20/0.55 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.20/0.55 exact (zenon_H40 zenon_H35). % 0.20/0.55 generalize (zenon_H3f zenon_TX_cd). zenon_intro zenon_H41. % 0.20/0.55 exact (zenon_H41 zenon_H3b). % 0.20/0.55 Qed. % 0.20/0.55 % SZS output end Proof % 0.20/0.55 (* END-PROOF *) % 0.20/0.55 nodes searched: 814 % 0.20/0.55 max branch formulas: 548 % 0.20/0.55 proof nodes created: 57 % 0.20/0.55 formulas created: 7241 % 0.20/0.55 %------------------------------------------------------------------------------