%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS088+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 03:39:25 EDT 2022 % Result : Unsatisfiable 1.57s 1.75s % Output : Proof 1.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS088+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n024.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jun 7 19:41:20 EDT 2022 % 0.13/0.33 % CPUTime : % 1.57/1.75 (* PROOF-FOUND *) % 1.57/1.75 % SZS status Unsatisfiable % 1.57/1.75 (* BEGIN-PROOF *) % 1.57/1.75 % SZS output start Proof % 1.57/1.75 Theorem zenon_thm : False. % 1.57/1.75 Proof. % 1.57/1.75 assert (zenon_L1_ : forall (zenon_TY_y : zenon_U), (rf (i2003_11_14_17_19_49673) zenon_TY_y) -> (~(rinvF zenon_TY_y (i2003_11_14_17_19_49673))) -> False). % 1.57/1.75 do 1 intro. intros zenon_H16 zenon_H17. % 1.57/1.75 generalize (axiom_4 zenon_TY_y). zenon_intro zenon_H19. % 1.57/1.75 generalize (zenon_H19 (i2003_11_14_17_19_49673)). zenon_intro zenon_H1a. % 1.57/1.75 apply (zenon_equiv_s _ _ zenon_H1a); [ zenon_intro zenon_H17; zenon_intro zenon_H1c | zenon_intro zenon_H1b; zenon_intro zenon_H16 ]. % 1.57/1.75 exact (zenon_H1c zenon_H16). % 1.57/1.75 exact (zenon_H17 zenon_H1b). % 1.57/1.75 (* end of lemma zenon_L1_ *) % 1.57/1.75 assert (zenon_L2_ : forall (zenon_TY_y : zenon_U), (exists W : zenon_U, ((rf (i2003_11_14_17_19_49673) W)/\(~(cp1 W)))) -> (forall B : zenon_U, (((zenon_TY_y = B)/\(cp1 zenon_TY_y))->(cp1 B))) -> (forall Z : zenon_U, (((rf (i2003_11_14_17_19_49673) zenon_TY_y)/\(rf (i2003_11_14_17_19_49673) Z))->(zenon_TY_y = Z))) -> (rf (i2003_11_14_17_19_49673) zenon_TY_y) -> (cp1 zenon_TY_y) -> False). % 1.57/1.75 do 1 intro. intros zenon_H1d zenon_H1e zenon_H1f zenon_H16 zenon_H20. % 1.57/1.75 elim zenon_H1d. zenon_intro zenon_TW_bh. zenon_intro zenon_H22. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H24. zenon_intro zenon_H23. % 1.57/1.75 generalize (zenon_H1e zenon_TW_bh). zenon_intro zenon_H25. % 1.57/1.75 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 1.57/1.75 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 1.57/1.75 generalize (zenon_H1f zenon_TW_bh). zenon_intro zenon_H2a. % 1.57/1.75 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 1.57/1.75 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H1c | zenon_intro zenon_H2d ]. % 1.57/1.75 exact (zenon_H1c zenon_H16). % 1.57/1.75 exact (zenon_H2d zenon_H24). % 1.57/1.75 exact (zenon_H29 zenon_H2b). % 1.57/1.75 exact (zenon_H28 zenon_H20). % 1.57/1.75 exact (zenon_H23 zenon_H26). % 1.57/1.75 (* end of lemma zenon_L2_ *) % 1.57/1.75 generalize (axiom_2 (i2003_11_14_17_19_49673)). zenon_intro zenon_H2e. % 1.57/1.75 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_H30 | zenon_intro axiom_7; zenon_intro zenon_H2f ]. % 1.57/1.75 exact (zenon_H31 axiom_7). % 1.57/1.75 elim zenon_H2f. zenon_intro zenon_TY_y. zenon_intro zenon_H32. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H16. zenon_intro zenon_H33. % 1.57/1.75 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H34. zenon_intro zenon_H20. % 1.57/1.75 generalize (axiom_3 (i2003_11_14_17_19_49673)). zenon_intro zenon_H35. % 1.57/1.75 generalize (zenon_H35 zenon_TY_y). zenon_intro zenon_H1f. % 1.57/1.75 generalize (cp1_substitution_1 zenon_TY_y). zenon_intro zenon_H1e. % 1.57/1.75 generalize (zenon_H34 (i2003_11_14_17_19_49673)). zenon_intro zenon_H36. % 1.57/1.75 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H17 | zenon_intro zenon_H1d ]. % 1.57/1.75 apply (zenon_L1_ zenon_TY_y); trivial. % 1.57/1.75 apply (zenon_L2_ zenon_TY_y); trivial. % 1.57/1.75 Qed. % 1.57/1.75 % SZS output end Proof % 1.57/1.75 (* END-PROOF *) % 1.57/1.75 nodes searched: 85004 % 1.57/1.75 max branch formulas: 7565 % 1.57/1.75 proof nodes created: 3873 % 1.57/1.75 formulas created: 183398 % 1.57/1.75 %------------------------------------------------------------------------------