%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS194+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 0.52s 0.73s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : KRS194+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n018.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 06:51:20 EDT 2022 % 0.12/0.33 % CPUTime : % 0.52/0.73 (* PROOF-FOUND *) % 0.52/0.73 % SZS status Theorem % 0.52/0.73 (* BEGIN-PROOF *) % 0.52/0.73 % SZS output start Proof % 0.52/0.73 Theorem isa_sca_thm : (isa (sca) (thm)). % 0.52/0.73 Proof. % 0.52/0.73 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 (sca)) -> False). % 0.52/0.73 do 2 intro. intros zenon_H22 zenon_H23. % 0.52/0.73 generalize (sca zenon_TAx_bl). zenon_intro zenon_H26. % 0.52/0.73 generalize (zenon_H26 zenon_TC_bk). zenon_intro zenon_H27. % 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H28; zenon_intro zenon_H23 ]. % 0.52/0.73 exact (zenon_H29 zenon_H23). % 0.52/0.73 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.52/0.73 exact (zenon_H2c zenon_H22). % 0.52/0.73 (* end of lemma zenon_L1_ *) % 0.52/0.73 apply NNPP. intro zenon_G. % 0.52/0.73 generalize (isa (sca)). zenon_intro zenon_H2d. % 0.52/0.73 generalize (zenon_H2d (thm)). zenon_intro zenon_H2e. % 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_G | zenon_intro zenon_H30; zenon_intro zenon_H2f ]. % 0.52/0.73 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (sca))->(status Ax C (thm))))) zenon_H31); [ zenon_intro zenon_H32; idtac ]. % 0.52/0.73 elim zenon_H32. zenon_intro zenon_TAx_bl. zenon_intro zenon_H33. % 0.52/0.73 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bl C (sca))->(status zenon_TAx_bl C (thm)))) zenon_H33); [ zenon_intro zenon_H34; idtac ]. % 0.52/0.73 elim zenon_H34. zenon_intro zenon_TC_bk. zenon_intro zenon_H35. % 0.52/0.73 apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H23. zenon_intro zenon_H36. % 0.52/0.73 generalize (thm zenon_TAx_bl). zenon_intro zenon_H37. % 0.52/0.73 generalize (zenon_H37 zenon_TC_bk). zenon_intro zenon_H38. % 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3b; zenon_intro zenon_H36 | zenon_intro zenon_H3a; zenon_intro zenon_H39 ]. % 0.52/0.73 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bl)->(model I1 zenon_TC_bk))) zenon_H3b); [ zenon_intro zenon_H3c; idtac ]. % 0.52/0.73 elim zenon_H3c. zenon_intro zenon_TI1_cj. zenon_intro zenon_H3e. % 0.52/0.73 apply (zenon_notimply_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.52/0.73 generalize (cax zenon_TAx_bl). zenon_intro zenon_H0. % 0.52/0.73 generalize (zenon_H0 zenon_E). zenon_intro zenon_H41. % 0.52/0.73 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H44; zenon_intro zenon_H43 | zenon_intro zenon_H2c; zenon_intro zenon_H42 ]. % 0.52/0.73 apply zenon_H44. zenon_intro zenon_H22. % 0.52/0.73 apply (zenon_L1_ zenon_TC_bk zenon_TAx_bl); trivial. % 0.52/0.73 apply zenon_H2c. exists zenon_TI1_cj. apply NNPP. zenon_intro zenon_H45. % 0.52/0.73 exact (zenon_H45 zenon_H40). % 0.52/0.73 exact (zenon_H36 zenon_H39). % 0.52/0.73 exact (zenon_G zenon_H2f). % 0.52/0.73 Qed. % 0.52/0.73 % SZS output end Proof % 0.52/0.73 (* END-PROOF *) % 0.52/0.73 nodes searched: 14206 % 0.52/0.73 max branch formulas: 2370 % 0.52/0.73 proof nodes created: 843 % 0.52/0.73 formulas created: 64391 % 0.52/0.73 %------------------------------------------------------------------------------