%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 16:42:14 EDT 2022 % Result : Theorem 0.77s 0.94s % Output : Proof 0.77s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n017.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Thu Jun 2 05:56:57 EDT 2022 % 0.13/0.35 % CPUTime : % 0.77/0.94 (* PROOF-FOUND *) % 0.77/0.94 % SZS status Theorem % 0.77/0.94 (* BEGIN-PROOF *) % 0.77/0.94 % SZS output start Proof % 0.77/0.94 Theorem oneuneqtwo : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((forall Y4 : zenon_U, ((~(r1 Y4))\/(~(r2 Y4 Y2))))\/(~(Y2 = Y1))))\/(forall Y3 : zenon_U, ((forall Y5 : zenon_U, ((~(r1 Y5))\/(~(r2 Y5 Y3))))\/(~(r2 Y3 Y1)))))). % 0.77/0.94 Proof. % 0.77/0.94 assert (zenon_L1_ : forall (zenon_TY4_p : zenon_U) (zenon_TY3_q : zenon_U), (forall Y20 : zenon_U, ((~(r1 Y20))\/(~(Y20 = zenon_TY3_q)))) -> (r1 zenon_TY4_p) -> (zenon_TY3_q = zenon_TY4_p) -> False). % 0.77/0.94 do 2 intro. intros zenon_Hc zenon_Hd zenon_He. % 0.77/0.94 generalize (zenon_Hc zenon_TY4_p). zenon_intro zenon_H11. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.77/0.94 exact (zenon_H13 zenon_Hd). % 0.77/0.94 apply zenon_H12. apply sym_equal. exact zenon_He. % 0.77/0.94 (* end of lemma zenon_L1_ *) % 0.77/0.94 apply NNPP. intro zenon_G. % 0.77/0.94 apply (zenon_notallex_s (fun Y1 : zenon_U => ((forall Y2 : zenon_U, ((forall Y4 : zenon_U, ((~(r1 Y4))\/(~(r2 Y4 Y2))))\/(~(Y2 = Y1))))\/(forall Y3 : zenon_U, ((forall Y5 : zenon_U, ((~(r1 Y5))\/(~(r2 Y5 Y3))))\/(~(r2 Y3 Y1)))))) zenon_G); [ zenon_intro zenon_H14; idtac ]. % 0.77/0.94 elim zenon_H14. zenon_intro zenon_TY1_v. zenon_intro zenon_H16. % 0.77/0.94 apply (zenon_notor_s _ _ zenon_H16). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.77/0.94 apply (zenon_notallex_s (fun Y2 : zenon_U => ((forall Y4 : zenon_U, ((~(r1 Y4))\/(~(r2 Y4 Y2))))\/(~(Y2 = zenon_TY1_v)))) zenon_H18); [ zenon_intro zenon_H19; idtac ]. % 0.77/0.94 elim zenon_H19. zenon_intro zenon_TY2_ba. zenon_intro zenon_H1b. % 0.77/0.94 apply (zenon_notor_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.77/0.94 apply (zenon_notallex_s (fun Y4 : zenon_U => ((~(r1 Y4))\/(~(r2 Y4 zenon_TY2_ba)))) zenon_H1d); [ zenon_intro zenon_H1e; idtac ]. % 0.77/0.94 elim zenon_H1e. zenon_intro zenon_TY4_p. zenon_intro zenon_H1f. % 0.77/0.94 apply (zenon_notor_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.77/0.94 apply zenon_H21. zenon_intro zenon_Hd. % 0.77/0.94 apply zenon_H20. zenon_intro zenon_H22. % 0.77/0.94 apply zenon_H1c. zenon_intro zenon_H23. % 0.77/0.94 apply (zenon_notallex_s (fun Y3 : zenon_U => ((forall Y5 : zenon_U, ((~(r1 Y5))\/(~(r2 Y5 Y3))))\/(~(r2 Y3 zenon_TY1_v)))) zenon_H17); [ zenon_intro zenon_H24; idtac ]. % 0.77/0.94 elim zenon_H24. zenon_intro zenon_TY3_q. zenon_intro zenon_H25. % 0.77/0.94 apply (zenon_notor_s _ _ zenon_H25). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.77/0.94 apply (zenon_notallex_s (fun Y5 : zenon_U => ((~(r1 Y5))\/(~(r2 Y5 zenon_TY3_q)))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.77/0.94 elim zenon_H28. zenon_intro zenon_TY5_bp. zenon_intro zenon_H2a. % 0.77/0.94 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 0.77/0.94 apply zenon_H2b. zenon_intro zenon_H2d. % 0.77/0.94 apply zenon_H26. zenon_intro zenon_H2e. % 0.77/0.94 generalize (axiom_7a zenon_TY5_bp). zenon_intro zenon_H2f. % 0.77/0.94 generalize (axiom_3a zenon_TY3_q). zenon_intro zenon_H30. % 0.77/0.94 generalize (zenon_H2f zenon_TY3_q). zenon_intro zenon_H31. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_Hc | zenon_intro zenon_H32 ]. % 0.77/0.94 generalize (zenon_H30 zenon_TY4_p). zenon_intro zenon_H33. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H34 | zenon_intro zenon_He ]. % 0.77/0.94 generalize (zenon_H34 zenon_TY2_ba). zenon_intro zenon_H35. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.77/0.94 generalize (zenon_H37 zenon_TY1_v). zenon_intro zenon_H38. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.77/0.94 exact (zenon_H3a zenon_H2e). % 0.77/0.94 apply zenon_H39. apply sym_equal. exact zenon_H23. % 0.77/0.94 exact (zenon_H36 zenon_H22). % 0.77/0.94 apply (zenon_L1_ zenon_TY4_p zenon_TY3_q); trivial. % 0.77/0.94 exact (zenon_H32 zenon_H2d). % 0.77/0.94 Qed. % 0.77/0.94 % SZS output end Proof % 0.77/0.94 (* END-PROOF *) % 0.77/0.94 nodes searched: 18237 % 0.77/0.94 max branch formulas: 1391 % 0.77/0.94 proof nodes created: 2352 % 0.77/0.94 formulas created: 27935 % 0.77/0.94 %------------------------------------------------------------------------------