%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS187+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.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 22.93s 23.13s % Output : Proof 22.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : KRS187+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.00/0.09 % Command : run_zenon %s %d % 0.10/0.28 % Computer : n032.cluster.edu % 0.10/0.28 % Model : x86_64 x86_64 % 0.10/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.28 % Memory : 8042.1875MB % 0.10/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.28 % CPULimit : 300 % 0.10/0.28 % WCLimit : 600 % 0.10/0.28 % DateTime : Tue Jun 7 14:01:50 EDT 2022 % 0.10/0.29 % CPUTime : % 22.93/23.13 (* PROOF-FOUND *) % 22.93/23.13 % SZS status Theorem % 22.93/23.13 (* BEGIN-PROOF *) % 22.93/23.13 % SZS output start Proof % 22.93/23.13 Theorem isa_tac_thm : (isa (tac) (thm)). % 22.93/23.13 Proof. % 22.93/23.13 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). % 22.93/23.13 do 2 intro. intros zenon_H21 zenon_H22. % 22.93/23.13 generalize (zenon_H21 zenon_TI1_bj). zenon_intro zenon_H25. % 22.93/23.13 exact (zenon_H22 zenon_H25). % 22.93/23.13 (* end of lemma zenon_L1_ *) % 22.93/23.13 apply NNPP. intro zenon_G. % 22.93/23.13 generalize (isa (tac)). zenon_intro zenon_H26. % 22.93/23.13 generalize (zenon_H26 (thm)). zenon_intro zenon_H27. % 22.93/23.13 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_G | zenon_intro zenon_H29; zenon_intro zenon_H28 ]. % 22.93/23.13 apply (zenon_notallex_s (fun Ax : zenon_U => (forall C : zenon_U, ((status Ax C (tac))->(status Ax C (thm))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 22.93/23.13 elim zenon_H2b. zenon_intro zenon_TAx_bs. zenon_intro zenon_H2d. % 22.93/23.13 apply (zenon_notallex_s (fun C : zenon_U => ((status zenon_TAx_bs C (tac))->(status zenon_TAx_bs C (thm)))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 22.93/23.13 elim zenon_H2e. zenon_intro zenon_TC_bk. zenon_intro zenon_H2f. % 22.93/23.13 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 22.93/23.13 generalize (tac zenon_TAx_bs). zenon_intro zenon_H32. % 22.93/23.13 generalize (thm zenon_TAx_bs). zenon_intro zenon_H33. % 22.93/23.13 generalize (zenon_H33 zenon_TC_bk). zenon_intro zenon_H34. % 22.93/23.13 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_H30 | zenon_intro zenon_H36; zenon_intro zenon_H35 ]. % 22.93/23.13 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 ]. % 22.93/23.13 elim zenon_H38. zenon_intro zenon_TI1_bj. zenon_intro zenon_H39. % 22.93/23.13 apply (zenon_notimply_s _ _ zenon_H39). zenon_intro zenon_H3a. zenon_intro zenon_H22. % 22.93/23.13 generalize (zenon_H32 zenon_TC_bk). zenon_intro zenon_H3b. % 22.93/23.13 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H3e; zenon_intro zenon_H3d | zenon_intro zenon_H3c; zenon_intro zenon_H31 ]. % 22.93/23.13 exact (zenon_H3d zenon_H31). % 22.93/23.13 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H21. % 22.93/23.13 apply (zenon_L1_ zenon_TI1_bj zenon_TC_bk); trivial. % 22.93/23.13 exact (zenon_H30 zenon_H35). % 22.93/23.13 exact (zenon_G zenon_H28). % 22.93/23.13 Qed. % 22.93/23.13 % SZS output end Proof % 22.93/23.13 (* END-PROOF *) % 22.93/23.13 nodes searched: 996616 % 22.93/23.13 max branch formulas: 9319 % 22.93/23.13 proof nodes created: 59145 % 22.93/23.13 formulas created: 2327044 % 22.93/23.13 %------------------------------------------------------------------------------