%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS195+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 2.14s 2.35s % Output : Proof 2.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS195+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n018.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 09:17:50 EDT 2022 % 0.13/0.34 % CPUTime : % 2.14/2.35 (* PROOF-FOUND *) % 2.14/2.35 % SZS status Theorem % 2.14/2.35 (* BEGIN-PROOF *) % 2.14/2.35 % SZS output start Proof % 2.14/2.35 Theorem isa_tca_thm : (isa (tca) (thm)). % 2.14/2.35 Proof. % 2.14/2.35 assert (zenon_L1_ : forall (zenon_TI1_bj : zenon_U) (zenon_TC_bk : zenon_U), (forall I2 : zenon_U, (model I2 zenon_TC_bk)) -> (~(model zenon_TI1_bj zenon_TC_bk)) -> False). % 2.14/2.35 do 2 intro. intros zenon_H21 zenon_H22. % 2.14/2.35 generalize (zenon_H21 zenon_TI1_bj). zenon_intro zenon_H25. % 2.14/2.35 exact (zenon_H22 zenon_H25). % 2.14/2.35 (* end of lemma zenon_L1_ *) % 2.14/2.35 apply NNPP. intro zenon_G. % 2.14/2.35 generalize (isa (tca)). zenon_intro zenon_H26. % 2.14/2.35 generalize (zenon_H26 (thm)). zenon_intro zenon_H27. % 2.14/2.35 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_G | zenon_intro zenon_H29; zenon_intro zenon_H28 ]. % 2.14/2.35 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (tca))->(status Ax C (thm))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 2.14/2.35 elim zenon_H2b. zenon_intro zenon_TAx_bs. zenon_intro zenon_H2d. % 2.14/2.35 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bs C (tca))->(status zenon_TAx_bs C (thm)))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 2.14/2.35 elim zenon_H2e. zenon_intro zenon_TC_bk. zenon_intro zenon_H2f. % 2.14/2.35 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 2.14/2.35 generalize (tca zenon_TAx_bs). zenon_intro zenon_H32. % 2.14/2.35 generalize (thm zenon_TAx_bs). zenon_intro zenon_H33. % 2.14/2.35 generalize (zenon_H33 zenon_TC_bk). zenon_intro zenon_H34. % 2.14/2.35 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_H30 | zenon_intro zenon_H36; zenon_intro zenon_H35 ]. % 2.14/2.35 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bs)->(model I1 zenon_TC_bk))) zenon_H37); [ zenon_intro zenon_H38; idtac ]. % 2.14/2.35 elim zenon_H38. zenon_intro zenon_TI1_bj. zenon_intro zenon_H39. % 2.14/2.35 apply (zenon_notimply_s _ _ zenon_H39). zenon_intro zenon_H3a. zenon_intro zenon_H22. % 2.14/2.35 generalize (zenon_H32 zenon_TC_bk). zenon_intro zenon_H3b. % 2.14/2.35 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H3e; zenon_intro zenon_H3d | zenon_intro zenon_H3c; zenon_intro zenon_H31 ]. % 2.14/2.35 exact (zenon_H3d zenon_H31). % 2.14/2.35 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H21. % 2.14/2.35 apply (zenon_L1_ zenon_TI1_bj zenon_TC_bk); trivial. % 2.14/2.35 exact (zenon_H30 zenon_H35). % 2.14/2.35 exact (zenon_G zenon_H28). % 2.14/2.35 Qed. % 2.14/2.35 % SZS output end Proof % 2.14/2.35 (* END-PROOF *) % 2.14/2.35 nodes searched: 113977 % 2.14/2.35 max branch formulas: 4851 % 2.14/2.35 proof nodes created: 6841 % 2.14/2.35 formulas created: 308420 % 2.14/2.35 %------------------------------------------------------------------------------