%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS255+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 : Sun Jul 17 03:39:52 EDT 2022 % Result : Theorem 0.55s 0.75s % Output : Proof 0.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : KRS255+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.14/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n028.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 7 07:04:29 EDT 2022 % 0.14/0.36 % CPUTime : % 0.55/0.75 (* PROOF-FOUND *) % 0.55/0.75 % SZS status Theorem % 0.55/0.75 (* BEGIN-PROOF *) % 0.55/0.75 % SZS output start Proof % 0.55/0.75 Theorem mighta_sap_thm : (mighta (sap) (thm)). % 0.55/0.75 Proof. % 0.55/0.75 assert (zenon_L1_ : forall (zenon_TC_bj : zenon_U) (zenon_TF_bk : zenon_U), (~(forall I1 : zenon_U, ((model I1 zenon_TF_bk)->(model I1 zenon_TC_bj)))) -> (forall I : zenon_U, (~(model I zenon_TF_bk))) -> False). % 0.55/0.75 do 2 intro. intros zenon_H21 zenon_H22. % 0.55/0.75 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bk)->(model I1 zenon_TC_bj))) zenon_H21); [ zenon_intro zenon_H25; idtac ]. % 0.55/0.75 elim zenon_H25. zenon_intro zenon_TI1_bm. zenon_intro zenon_H27. % 0.55/0.75 apply (zenon_notimply_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.55/0.75 generalize (zenon_H22 zenon_TI1_bm). zenon_intro zenon_H2a. % 0.55/0.75 exact (zenon_H2a zenon_H29). % 0.55/0.75 (* end of lemma zenon_L1_ *) % 0.55/0.75 assert (zenon_L2_ : forall (zenon_TI1_bt : zenon_U) (zenon_TC_bj : zenon_U), (~(exists I1 : zenon_U, (model I1 zenon_TC_bj))) -> (model zenon_TI1_bt zenon_TC_bj) -> False). % 0.55/0.75 do 2 intro. intros zenon_H2b zenon_H2c. % 0.55/0.75 apply zenon_H2b. exists zenon_TI1_bt. apply NNPP. zenon_intro zenon_H2e. % 0.55/0.75 exact (zenon_H2e zenon_H2c). % 0.55/0.75 (* end of lemma zenon_L2_ *) % 0.55/0.75 apply NNPP. intro zenon_G. % 0.55/0.75 elim contradiction. zenon_intro zenon_TF_bk. zenon_intro zenon_H22. % 0.55/0.75 elim sat_non_taut_pair. zenon_intro zenon_TAx_bv. zenon_intro zenon_H30. % 0.55/0.75 elim zenon_H30. zenon_intro zenon_TC_bj. zenon_intro zenon_H31. % 0.55/0.75 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.55/0.75 elim zenon_H33. zenon_intro zenon_TI1_bt. zenon_intro zenon_H34. % 0.55/0.75 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H35. zenon_intro zenon_H2c. % 0.55/0.75 generalize (mighta (sap)). zenon_intro zenon_H36. % 0.55/0.75 generalize (zenon_H36 (thm)). zenon_intro zenon_H37. % 0.55/0.75 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_G | zenon_intro zenon_H39; zenon_intro zenon_H38 ]. % 0.55/0.75 apply zenon_H3a. exists zenon_TF_bk. apply NNPP. zenon_intro zenon_H3b. % 0.55/0.75 generalize (thm zenon_TF_bk). zenon_intro zenon_H3c. % 0.55/0.75 generalize (zenon_H3c zenon_TC_bj). zenon_intro zenon_H3d. % 0.55/0.75 apply (zenon_equiv_s _ _ zenon_H3d); [ zenon_intro zenon_H21; zenon_intro zenon_H40 | zenon_intro zenon_H3f; zenon_intro zenon_H3e ]. % 0.55/0.75 apply (zenon_L1_ zenon_TC_bj zenon_TF_bk); trivial. % 0.55/0.75 apply zenon_H3b. exists zenon_TC_bj. apply NNPP. zenon_intro zenon_H41. % 0.55/0.75 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H42 | zenon_intro zenon_H40 ]. % 0.55/0.75 generalize (sap zenon_TF_bk). zenon_intro zenon_H43. % 0.55/0.75 generalize (zenon_H43 zenon_TC_bj). zenon_intro zenon_H44. % 0.55/0.75 apply (zenon_equiv_s _ _ zenon_H44); [ zenon_intro zenon_H47; zenon_intro zenon_H42 | zenon_intro zenon_H46; zenon_intro zenon_H45 ]. % 0.55/0.75 apply (zenon_notimply_s _ _ zenon_H47). zenon_intro zenon_H48. zenon_intro zenon_H2b. % 0.55/0.75 apply (zenon_L2_ zenon_TI1_bt zenon_TC_bj); trivial. % 0.55/0.75 exact (zenon_H42 zenon_H45). % 0.55/0.75 exact (zenon_H40 zenon_H3e). % 0.55/0.75 exact (zenon_G zenon_H38). % 0.55/0.75 Qed. % 0.55/0.75 % SZS output end Proof % 0.55/0.75 (* END-PROOF *) % 0.55/0.75 nodes searched: 8187 % 0.55/0.75 max branch formulas: 1675 % 0.55/0.75 proof nodes created: 488 % 0.55/0.75 formulas created: 46004 % 0.55/0.75 %------------------------------------------------------------------------------