%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS078+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 03:39:23 EDT 2022 % Result : Unsatisfiable 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS078+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n028.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 13:53:00 EDT 2022 % 0.13/0.34 % CPUTime : % 0.46/0.64 (* PROOF-FOUND *) % 0.46/0.64 % SZS status Unsatisfiable % 0.46/0.64 (* BEGIN-PROOF *) % 0.46/0.64 % SZS output start Proof % 0.46/0.64 Theorem zenon_thm : False. % 0.46/0.64 Proof. % 0.46/0.64 assert (zenon_L1_ : forall (zenon_TY_u : zenon_U), (rr (i2003_11_14_17_19_13721) zenon_TY_u) -> (~(rinvR zenon_TY_u (i2003_11_14_17_19_13721))) -> False). % 0.46/0.64 do 1 intro. intros zenon_H12 zenon_H13. % 0.46/0.64 generalize (axiom_3 zenon_TY_u). zenon_intro zenon_H15. % 0.46/0.64 generalize (zenon_H15 (i2003_11_14_17_19_13721)). zenon_intro zenon_H16. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H16); [ zenon_intro zenon_H13; zenon_intro zenon_H18 | zenon_intro zenon_H17; zenon_intro zenon_H12 ]. % 0.46/0.64 exact (zenon_H18 zenon_H12). % 0.46/0.64 exact (zenon_H13 zenon_H17). % 0.46/0.64 (* end of lemma zenon_L1_ *) % 0.46/0.64 generalize (axiom_2 (i2003_11_14_17_19_13721)). zenon_intro zenon_H19. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H19); [ zenon_intro zenon_H1c; zenon_intro zenon_H1b | zenon_intro axiom_4; zenon_intro zenon_H1a ]. % 0.46/0.64 exact (zenon_H1c axiom_4). % 0.46/0.64 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.46/0.64 elim zenon_H1e. zenon_intro zenon_TY_u. zenon_intro zenon_H1f. % 0.46/0.64 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H20. % 0.46/0.64 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.46/0.64 elim zenon_H22. zenon_intro zenon_TZ_bj. zenon_intro zenon_H24. % 0.46/0.64 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H25. % 0.46/0.64 generalize (axiom_3 zenon_TY_u). zenon_intro zenon_H15. % 0.46/0.64 generalize (zenon_H15 zenon_TZ_bj). zenon_intro zenon_H27. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H26; zenon_intro zenon_H28 ]. % 0.46/0.64 exact (zenon_H2a zenon_H26). % 0.46/0.64 elim zenon_H1d. zenon_intro zenon_TY_br. zenon_intro zenon_H2c. % 0.46/0.64 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d. % 0.46/0.64 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 0.46/0.64 generalize (zenon_H25 zenon_TY_br). zenon_intro zenon_H31. % 0.46/0.64 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.46/0.64 generalize (zenon_H21 (i2003_11_14_17_19_13721)). zenon_intro zenon_H34. % 0.46/0.64 generalize (zenon_H34 zenon_TZ_bj). zenon_intro zenon_H35. % 0.46/0.64 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.46/0.64 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H13 | zenon_intro zenon_H2a ]. % 0.46/0.64 apply (zenon_L1_ zenon_TY_u); trivial. % 0.46/0.64 generalize (axiom_3 zenon_TY_u). zenon_intro zenon_H15. % 0.46/0.64 generalize (zenon_H15 zenon_TZ_bj). zenon_intro zenon_H27. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H26; zenon_intro zenon_H28 ]. % 0.46/0.64 exact (zenon_H29 zenon_H28). % 0.46/0.64 exact (zenon_H2a zenon_H26). % 0.46/0.64 generalize (rs_substitution_1 (i2003_11_14_17_19_13721)). zenon_intro zenon_H38. % 0.46/0.64 generalize (zenon_H38 zenon_TZ_bj). zenon_intro zenon_H39. % 0.46/0.64 generalize (zenon_H39 zenon_TY_br). zenon_intro zenon_H3a. % 0.46/0.64 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 0.46/0.64 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.46/0.64 exact (zenon_H3e zenon_H36). % 0.46/0.64 exact (zenon_H3d zenon_H2e). % 0.46/0.64 exact (zenon_H33 zenon_H3b). % 0.46/0.64 exact (zenon_H2f zenon_H32). % 0.46/0.64 Qed. % 0.46/0.64 % SZS output end Proof % 0.46/0.64 (* END-PROOF *) % 0.46/0.64 nodes searched: 7284 % 0.46/0.64 max branch formulas: 1079 % 0.46/0.64 proof nodes created: 874 % 0.46/0.64 formulas created: 18787 % 0.46/0.64 %------------------------------------------------------------------------------