%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV388+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SWV388+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n025.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jun 14 20:08:40 EDT 2022 % 0.14/0.35 % CPUTime : % 0.39/0.58 Zenon warning: unused variable (X : zenon_U) in ax47 % 0.39/0.58 Zenon warning: unused variable (X : zenon_U) in ax48 % 0.39/0.58 Zenon warning: unused variable (X : zenon_U) in ax49 % 0.39/0.58 Zenon warning: unused variable (X : zenon_U) in ax51 % 0.39/0.58 (* PROOF-FOUND *) % 0.39/0.58 % SZS status Theorem % 0.39/0.58 (* BEGIN-PROOF *) % 0.39/0.58 % SZS output start Proof % 0.39/0.58 Theorem l24_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (findmin_cpq_eff (triple U V W))))\/(~(ok (findmin_cpq_eff (triple U V W))))))))). % 0.39/0.58 Proof. % 0.39/0.58 apply NNPP. intro zenon_G. % 0.39/0.58 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, ((~(check_cpq (triple U V W)))->((~(check_cpq (findmin_cpq_eff (triple U V W))))\/(~(ok (findmin_cpq_eff (triple U V W))))))))) zenon_G); [ zenon_intro zenon_H2b; idtac ]. % 0.39/0.58 elim zenon_H2b. zenon_intro zenon_TU_bs. zenon_intro zenon_H2d. % 0.39/0.58 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, ((~(check_cpq (triple zenon_TU_bs V W)))->((~(check_cpq (findmin_cpq_eff (triple zenon_TU_bs V W))))\/(~(ok (findmin_cpq_eff (triple zenon_TU_bs V W)))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.39/0.58 elim zenon_H2e. zenon_intro zenon_TV_bv. zenon_intro zenon_H30. % 0.39/0.58 apply (zenon_notallex_s (fun W : zenon_U => ((~(check_cpq (triple zenon_TU_bs zenon_TV_bv W)))->((~(check_cpq (findmin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))\/(~(ok (findmin_cpq_eff (triple zenon_TU_bs zenon_TV_bv W))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.39/0.58 elim zenon_H31. zenon_intro zenon_TW_by. zenon_intro zenon_H33. % 0.39/0.58 apply (zenon_notimply_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.39/0.58 apply (zenon_notor_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.39/0.58 apply zenon_H37. zenon_intro zenon_H38. % 0.39/0.58 generalize (l24_l34 zenon_TU_bs). zenon_intro zenon_H39. % 0.39/0.58 generalize (zenon_H39 zenon_TV_bv). zenon_intro zenon_H3a. % 0.39/0.58 generalize (zenon_H3a zenon_TW_by). zenon_intro zenon_H3b. % 0.39/0.58 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.39/0.58 exact (zenon_H3d zenon_H35). % 0.39/0.58 exact (zenon_H3c zenon_H38). % 0.39/0.58 Qed. % 0.39/0.58 % SZS output end Proof % 0.39/0.58 (* END-PROOF *) % 0.39/0.58 nodes searched: 579 % 0.39/0.58 max branch formulas: 460 % 0.39/0.58 proof nodes created: 30 % 0.39/0.58 formulas created: 5980 % 0.39/0.58 %------------------------------------------------------------------------------