%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 03:39:42 EDT 2022 % Result : Theorem 1.37s 1.55s % Output : Proof 1.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS186+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 7 11:01:01 EDT 2022 % 0.13/0.34 % CPUTime : % 1.37/1.55 (* PROOF-FOUND *) % 1.37/1.55 % SZS status Theorem % 1.37/1.55 (* BEGIN-PROOF *) % 1.37/1.55 % SZS output start Proof % 1.37/1.55 Theorem isa_eqv_thm : (isa (eqv) (thm)). % 1.37/1.55 Proof. % 1.37/1.55 apply NNPP. intro zenon_G. % 1.37/1.55 generalize (isa (eqv)). zenon_intro zenon_H21. % 1.37/1.55 generalize (zenon_H21 (thm)). zenon_intro zenon_H22. % 1.37/1.55 apply (zenon_equiv_s _ _ zenon_H22); [ zenon_intro zenon_H25; zenon_intro zenon_G | zenon_intro zenon_H24; zenon_intro zenon_H23 ]. % 1.37/1.55 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (eqv))->(status Ax C (thm))))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 1.37/1.55 elim zenon_H26. zenon_intro zenon_TAx_bn. zenon_intro zenon_H28. % 1.37/1.55 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bn C (eqv))->(status zenon_TAx_bn C (thm)))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 1.37/1.55 elim zenon_H29. zenon_intro zenon_TC_bq. zenon_intro zenon_H2b. % 1.37/1.55 apply (zenon_notimply_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 1.37/1.55 generalize (thm zenon_TAx_bn). zenon_intro zenon_H2e. % 1.37/1.55 generalize (zenon_H2e zenon_TC_bq). zenon_intro zenon_H2f. % 1.37/1.55 apply (zenon_equiv_s _ _ zenon_H2f); [ zenon_intro zenon_H32; zenon_intro zenon_H2c | zenon_intro zenon_H31; zenon_intro zenon_H30 ]. % 1.37/1.55 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bn)->(model I1 zenon_TC_bq))) zenon_H32); [ zenon_intro zenon_H33; idtac ]. % 1.37/1.55 elim zenon_H33. zenon_intro zenon_TI1_ca. zenon_intro zenon_H35. % 1.37/1.55 apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 1.37/1.55 generalize (eqv zenon_TAx_bn). zenon_intro zenon_H38. % 1.37/1.55 generalize (zenon_H38 zenon_TC_bq). zenon_intro zenon_H39. % 1.37/1.55 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H2d ]. % 1.37/1.55 exact (zenon_H3b zenon_H2d). % 1.37/1.55 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 1.37/1.55 generalize (zenon_H3d zenon_TI1_ca). zenon_intro zenon_H3f. % 1.37/1.55 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H41; zenon_intro zenon_H36 | zenon_intro zenon_H37; zenon_intro zenon_H40 ]. % 1.37/1.55 exact (zenon_H41 zenon_H37). % 1.37/1.55 exact (zenon_H36 zenon_H40). % 1.37/1.55 exact (zenon_H2c zenon_H30). % 1.37/1.55 exact (zenon_G zenon_H23). % 1.37/1.55 Qed. % 1.37/1.55 % SZS output end Proof % 1.37/1.55 (* END-PROOF *) % 1.37/1.55 nodes searched: 60213 % 1.37/1.55 max branch formulas: 4439 % 1.37/1.55 proof nodes created: 3956 % 1.37/1.55 formulas created: 181702 % 1.37/1.55 %------------------------------------------------------------------------------