%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 : Mon Jul 18 16:42:13 EDT 2022 % Result : Theorem 0.20s 0.60s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n019.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 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 2 04:57:10 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.60 (* PROOF-FOUND *) % 0.20/0.60 % SZS status Theorem % 0.20/0.60 (* BEGIN-PROOF *) % 0.20/0.60 % SZS output start Proof % 0.20/0.60 Theorem oneeqone : (exists Y1 : zenon_U, ((Y1 = Y1)/\(exists Y2 : zenon_U, ((r1 Y2)/\(r2 Y2 Y1))))). % 0.20/0.60 Proof. % 0.20/0.60 assert (zenon_L1_ : forall (zenon_TY21_n : zenon_U) (zenon_TY24_o : zenon_U), ((~(r2 zenon_TY24_o zenon_TY21_n))/\(~(zenon_TY21_n = zenon_TY21_n))) -> False). % 0.20/0.60 do 2 intro. intros zenon_Hc. % 0.20/0.60 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.20/0.60 apply zenon_Hf. apply refl_equal. % 0.20/0.60 (* end of lemma zenon_L1_ *) % 0.20/0.60 apply NNPP. intro zenon_G. % 0.20/0.60 elim axiom_1. zenon_intro zenon_TY24_o. zenon_intro zenon_H11. % 0.20/0.60 generalize (zenon_H11 zenon_TY24_o). zenon_intro zenon_H12. % 0.20/0.60 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.20/0.60 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.20/0.60 apply zenon_H15. apply refl_equal. % 0.20/0.60 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.20/0.60 generalize (axiom_2 zenon_TY24_o). zenon_intro zenon_H19. % 0.20/0.60 elim zenon_H19. zenon_intro zenon_TY21_n. zenon_intro zenon_H1a. % 0.20/0.60 generalize (zenon_H1a zenon_TY21_n). zenon_intro zenon_H1b. % 0.20/0.60 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hc | zenon_intro zenon_H1c ]. % 0.20/0.60 apply (zenon_L1_ zenon_TY21_n zenon_TY24_o); trivial. % 0.20/0.60 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.20/0.60 apply zenon_G. exists zenon_TY21_n. apply NNPP. zenon_intro zenon_H1f. % 0.20/0.60 apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_Hf | zenon_intro zenon_H20 ]. % 0.20/0.60 apply zenon_Hf. apply refl_equal. % 0.20/0.60 apply zenon_H20. exists zenon_TY24_o. apply NNPP. zenon_intro zenon_H21. % 0.20/0.60 apply (zenon_notand_s _ _ zenon_H21); [ zenon_intro zenon_H16 | zenon_intro zenon_H10 ]. % 0.20/0.60 exact (zenon_H16 zenon_H18). % 0.20/0.60 exact (zenon_H10 zenon_H1e). % 0.20/0.60 Qed. % 0.20/0.60 % SZS output end Proof % 0.20/0.60 (* END-PROOF *) % 0.20/0.60 nodes searched: 5189 % 0.20/0.60 max branch formulas: 808 % 0.20/0.60 proof nodes created: 345 % 0.20/0.60 formulas created: 10601 % 0.20/0.60 %------------------------------------------------------------------------------