%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 03:39:53 EDT 2022 % Result : Theorem 3.99s 4.17s % Output : Proof 3.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n021.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 : Tue Jun 7 08:49:21 EDT 2022 % 0.12/0.34 % CPUTime : % 3.99/4.17 (* PROOF-FOUND *) % 3.99/4.17 % SZS status Theorem % 3.99/4.17 (* BEGIN-PROOF *) % 3.99/4.17 % SZS output start Proof % 3.99/4.17 Theorem mighta_tca_thm : (mighta (tca) (thm)). % 3.99/4.17 Proof. % 3.99/4.17 assert (zenon_L1_ : forall (zenon_TF_bk : zenon_U), (~(~(exists I2 : zenon_U, (model I2 zenon_TF_bk)))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bk))) -> False). % 3.99/4.17 do 1 intro. intros zenon_H22 zenon_H23. % 3.99/4.17 exact (zenon_H22 zenon_H23). % 3.99/4.17 (* end of lemma zenon_L1_ *) % 3.99/4.17 assert (zenon_L2_ : forall (zenon_TF_bn : zenon_U), (exists I4 : zenon_U, (~(model I4 zenon_TF_bn))) -> (forall I : zenon_U, (model I zenon_TF_bn)) -> False). % 3.99/4.17 do 1 intro. intros zenon_H25 zenon_H26. % 3.99/4.17 elim zenon_H25. zenon_intro zenon_TI4_bo. zenon_intro zenon_H29. % 3.99/4.17 generalize (zenon_H26 zenon_TI4_bo). zenon_intro zenon_H2a. % 3.99/4.17 exact (zenon_H29 zenon_H2a). % 3.99/4.17 (* end of lemma zenon_L2_ *) % 3.99/4.17 assert (zenon_L3_ : forall (zenon_TF_bn : zenon_U), (~(forall I : zenon_U, (model I zenon_TF_bn))) -> (forall I : zenon_U, (model I zenon_TF_bn)) -> False). % 3.99/4.17 do 1 intro. intros zenon_H2b zenon_H26. % 3.99/4.17 exact (zenon_H2b zenon_H26). % 3.99/4.17 (* end of lemma zenon_L3_ *) % 3.99/4.17 assert (zenon_L4_ : forall (zenon_TF_bn : zenon_U) (zenon_TF_bk : zenon_U), (forall C : zenon_U, ((forall I1 : zenon_U, ((model I1 zenon_TF_bk)->(model I1 C)))<->(status zenon_TF_bk C (thm)))) -> (forall I : zenon_U, (~(model I zenon_TF_bk))) -> (forall C : zenon_U, (((~(exists I2 : zenon_U, (model I2 zenon_TF_bk)))/\(forall I2 : zenon_U, (model I2 C)))<->(status zenon_TF_bk C (tca)))) -> (forall I : zenon_U, (model I zenon_TF_bn)) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bk))) -> (~(exists C : zenon_U, ((status zenon_TF_bk C (tca))/\(status zenon_TF_bk C (thm))))) -> False). % 3.99/4.17 do 2 intro. intros zenon_H2c zenon_H2d zenon_H2e zenon_H26 zenon_H23 zenon_H2f. % 3.99/4.17 generalize (zenon_H2c zenon_TF_bn). zenon_intro zenon_H30. % 3.99/4.17 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H34; zenon_intro zenon_H33 | zenon_intro zenon_H32; zenon_intro zenon_H31 ]. % 3.99/4.17 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bk)->(model I1 zenon_TF_bn))) zenon_H34); [ zenon_intro zenon_H35; idtac ]. % 3.99/4.17 elim zenon_H35. zenon_intro zenon_TI1_cc. zenon_intro zenon_H37. % 3.99/4.17 apply (zenon_notimply_s _ _ zenon_H37). zenon_intro zenon_H39. zenon_intro zenon_H38. % 3.99/4.17 generalize (zenon_H2d zenon_TI1_cc). zenon_intro zenon_H3a. % 3.99/4.17 exact (zenon_H3a zenon_H39). % 3.99/4.17 generalize (zenon_H2e zenon_TF_bn). zenon_intro zenon_H3b. % 3.99/4.17 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H3f; zenon_intro zenon_H3e | zenon_intro zenon_H3d; zenon_intro zenon_H3c ]. % 3.99/4.17 apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H22 | zenon_intro zenon_H2b ]. % 3.99/4.17 exact (zenon_H22 zenon_H23). % 3.99/4.17 exact (zenon_H2b zenon_H26). % 3.99/4.17 apply zenon_H2f. exists zenon_TF_bn. apply NNPP. zenon_intro zenon_H40. % 3.99/4.17 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H3e | zenon_intro zenon_H33 ]. % 3.99/4.17 exact (zenon_H3e zenon_H3c). % 3.99/4.17 exact (zenon_H33 zenon_H31). % 3.99/4.17 (* end of lemma zenon_L4_ *) % 3.99/4.17 apply NNPP. intro zenon_G. % 3.99/4.17 elim tautology. zenon_intro zenon_TF_bn. zenon_intro zenon_H26. % 3.99/4.17 elim contradiction. zenon_intro zenon_TF_bk. zenon_intro zenon_H2d. % 3.99/4.17 generalize (mighta (tca)). zenon_intro zenon_H41. % 3.99/4.17 generalize (zenon_H41 (thm)). zenon_intro zenon_H42. % 3.99/4.17 apply (zenon_equiv_s _ _ zenon_H42); [ zenon_intro zenon_H45; zenon_intro zenon_G | zenon_intro zenon_H44; zenon_intro zenon_H43 ]. % 3.99/4.17 apply zenon_H45. exists zenon_TF_bk. apply NNPP. zenon_intro zenon_H2f. % 3.99/4.17 generalize (thm zenon_TF_bk). zenon_intro zenon_H2c. % 3.99/4.17 generalize (tca zenon_TF_bk). zenon_intro zenon_H2e. % 3.99/4.17 generalize (cax zenon_TF_bk). zenon_intro zenon_H0. % 3.99/4.17 generalize (zenon_H0 zenon_E). zenon_intro zenon_H46. % 3.99/4.17 apply (zenon_equiv_s _ _ zenon_H46); [ zenon_intro zenon_H22; zenon_intro zenon_H48 | zenon_intro zenon_H23; zenon_intro zenon_H47 ]. % 3.99/4.17 apply zenon_H22. zenon_intro zenon_H49. % 3.99/4.17 elim zenon_H49. zenon_intro zenon_TI2_cw. zenon_intro zenon_H4b. % 3.99/4.17 generalize (zenon_H2d zenon_TI2_cw). zenon_intro zenon_H4c. % 3.99/4.17 exact (zenon_H4c zenon_H4b). % 3.99/4.17 apply (zenon_L4_ zenon_TF_bn zenon_TF_bk); trivial. % 3.99/4.17 exact (zenon_G zenon_H43). % 3.99/4.17 Qed. % 3.99/4.17 % SZS output end Proof % 3.99/4.17 (* END-PROOF *) % 3.99/4.17 nodes searched: 174213 % 3.99/4.17 max branch formulas: 9015 % 3.99/4.17 proof nodes created: 8944 % 3.99/4.17 formulas created: 461183 % 3.99/4.18 %------------------------------------------------------------------------------