%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 03:39:44 EDT 2022 % Result : Theorem 1.52s 1.69s % Output : Proof 1.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : KRS193+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jun 7 13:25:35 EDT 2022 % 0.12/0.34 % CPUTime : % 1.52/1.69 (* PROOF-FOUND *) % 1.52/1.69 % SZS status Theorem % 1.52/1.69 (* BEGIN-PROOF *) % 1.52/1.69 % SZS output start Proof % 1.52/1.69 Theorem isa_cax_thm : (isa (cax) (thm)). % 1.52/1.69 Proof. % 1.52/1.69 assert (zenon_L1_ : forall (zenon_TC_bk : zenon_U) (zenon_TAx_bl : zenon_U), (exists I2 : zenon_U, (model I2 zenon_TAx_bl)) -> (status zenon_TAx_bl zenon_TC_bk (cax)) -> False). % 1.52/1.69 do 2 intro. intros zenon_H22 zenon_H23. % 1.52/1.69 generalize (cax zenon_TAx_bl). zenon_intro zenon_H0. % 1.52/1.69 generalize (zenon_H0 zenon_TC_bk). zenon_intro zenon_H26. % 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H23 ]. % 1.52/1.69 exact (zenon_H28 zenon_H23). % 1.52/1.69 exact (zenon_H27 zenon_H22). % 1.52/1.69 (* end of lemma zenon_L1_ *) % 1.52/1.69 apply NNPP. intro zenon_G. % 1.52/1.69 generalize (isa (cax)). zenon_intro zenon_H2a. % 1.52/1.69 generalize (zenon_H2a (thm)). zenon_intro zenon_H2b. % 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2e; zenon_intro zenon_G | zenon_intro zenon_H2d; zenon_intro zenon_H2c ]. % 1.52/1.69 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (cax))->(status Ax C (thm))))) zenon_H2e); [ zenon_intro zenon_H2f; idtac ]. % 1.52/1.69 elim zenon_H2f. zenon_intro zenon_TAx_bl. zenon_intro zenon_H30. % 1.52/1.69 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bl C (cax))->(status zenon_TAx_bl C (thm)))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 1.52/1.69 elim zenon_H31. zenon_intro zenon_TC_bk. zenon_intro zenon_H32. % 1.52/1.69 apply (zenon_notimply_s _ _ zenon_H32). zenon_intro zenon_H23. zenon_intro zenon_H33. % 1.52/1.69 generalize (thm zenon_TAx_bl). zenon_intro zenon_H34. % 1.52/1.69 generalize (zenon_H34 zenon_TC_bk). zenon_intro zenon_H35. % 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H35); [ zenon_intro zenon_H38; zenon_intro zenon_H33 | zenon_intro zenon_H37; zenon_intro zenon_H36 ]. % 1.52/1.69 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bl)->(model I1 zenon_TC_bk))) zenon_H38); [ zenon_intro zenon_H39; idtac ]. % 1.52/1.69 elim zenon_H39. zenon_intro zenon_TI1_cg. zenon_intro zenon_H3b. % 1.52/1.69 apply (zenon_notimply_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 1.52/1.69 generalize (cax zenon_TAx_bl). zenon_intro zenon_H0. % 1.52/1.69 generalize (zenon_H0 zenon_E). zenon_intro zenon_H3e. % 1.52/1.69 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H29; zenon_intro zenon_H40 | zenon_intro zenon_H27; zenon_intro zenon_H3f ]. % 1.52/1.69 apply zenon_H29. zenon_intro zenon_H22. % 1.52/1.69 apply (zenon_L1_ zenon_TC_bk zenon_TAx_bl); trivial. % 1.52/1.69 apply zenon_H27. exists zenon_TI1_cg. apply NNPP. zenon_intro zenon_H41. % 1.52/1.69 exact (zenon_H41 zenon_H3d). % 1.52/1.69 exact (zenon_H33 zenon_H36). % 1.52/1.69 exact (zenon_G zenon_H2c). % 1.52/1.69 Qed. % 1.52/1.69 % SZS output end Proof % 1.52/1.69 (* END-PROOF *) % 1.52/1.69 nodes searched: 88676 % 1.52/1.69 max branch formulas: 4828 % 1.52/1.69 proof nodes created: 5672 % 1.52/1.69 formulas created: 240947 % 1.52/1.69 %------------------------------------------------------------------------------