%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV389+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 0.36s 0.54s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SWV389+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n014.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 13:16:06 EDT 2022 % 0.12/0.34 % CPUTime : % 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax47 % 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax48 % 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax49 % 0.36/0.54 Zenon warning: unused variable (X : zenon_U) in ax51 % 0.36/0.54 (* PROOF-FOUND *) % 0.36/0.54 % SZS status Theorem % 0.36/0.54 (* BEGIN-PROOF *) % 0.36/0.54 % SZS output start Proof % 0.36/0.54 Theorem l25_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (removemin_cpq_eff (triple U V W))))\/(~(ok (removemin_cpq_eff (triple U V W))))))))). % 0.36/0.54 Proof. % 0.36/0.54 apply NNPP. intro zenon_G. % 0.36/0.54 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (removemin_cpq_eff (triple U V W))))\/(~(ok (removemin_cpq_eff (triple U V W))))))))) zenon_G); [ zenon_intro zenon_H2b; idtac ]. % 0.36/0.54 elim zenon_H2b. zenon_intro zenon_TU_bs. zenon_intro zenon_H2d. % 0.36/0.54 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, ((~(check_cpq (triple zenon_TU_bs V W)))->((~(check_cpq (removemin_cpq_eff (triple zenon_TU_bs V W))))\/(~(ok (removemin_cpq_eff (triple zenon_TU_bs V W)))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.36/0.54 elim zenon_H2e. zenon_intro zenon_TV_bv. zenon_intro zenon_H30. % 0.36/0.54 apply (zenon_notallex_s (fun W : zenon_U => ((~(check_cpq (triple zenon_TU_bs zenon_TV_bv W)))->((~(check_cpq (removemin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))\/(~(ok (removemin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.36/0.54 elim zenon_H31. zenon_intro zenon_TW_by. zenon_intro zenon_H33. % 0.36/0.54 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.36/0.54 apply (zenon_notor_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.36/0.54 apply zenon_H36. zenon_intro zenon_H38. % 0.36/0.54 apply zenon_H37. zenon_intro zenon_H39. % 0.36/0.54 generalize (l25_l40 zenon_TU_bs). zenon_intro zenon_H3a. % 0.36/0.54 generalize (zenon_H3a zenon_TV_bv). zenon_intro zenon_H3b. % 0.36/0.54 generalize (zenon_H3b zenon_TW_by). zenon_intro zenon_H3c. % 0.36/0.54 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.36/0.54 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.36/0.54 exact (zenon_H40 zenon_H39). % 0.36/0.54 exact (zenon_H3f zenon_H38). % 0.36/0.54 exact (zenon_H35 zenon_H3d). % 0.36/0.54 Qed. % 0.36/0.54 % SZS output end Proof % 0.36/0.54 (* END-PROOF *) % 0.36/0.54 nodes searched: 560 % 0.36/0.54 max branch formulas: 437 % 0.36/0.54 proof nodes created: 30 % 0.36/0.54 formulas created: 5376 % 0.36/0.54 %------------------------------------------------------------------------------