%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUN089+2 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n029.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 16:42:16 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUN089+2 : TPTP v8.1.0. Released v7.3.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n029.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 : Thu Jun 2 04:16:31 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 Theorem zerouneqtwo : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 Y1))))\/(forall Y4 : zenon_U, ((~(Y4 = Y1))\/(~(r1 Y4)))))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notallex_s (fun Y1 : zenon_U => ((forall Y2 : zenon_U, ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 Y1))))\/(forall Y4 : zenon_U, ((~(Y4 = Y1))\/(~(r1 Y4)))))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.20/0.50 elim zenon_Hc. zenon_intro zenon_TY1_n. zenon_intro zenon_He. % 0.20/0.50 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.20/0.50 apply (zenon_notallex_s (fun Y2 : zenon_U => ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 zenon_TY1_n)))) zenon_H10); [ zenon_intro zenon_H11; idtac ]. % 0.20/0.50 elim zenon_H11. zenon_intro zenon_TY2_s. zenon_intro zenon_H13. % 0.20/0.50 apply (zenon_notor_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.20/0.50 apply zenon_H14. zenon_intro zenon_H16. % 0.20/0.50 apply (zenon_notallex_s (fun Y4 : zenon_U => ((~(Y4 = zenon_TY1_n))\/(~(r1 Y4)))) zenon_Hf); [ zenon_intro zenon_H17; idtac ]. % 0.20/0.50 elim zenon_H17. zenon_intro zenon_TY4_y. zenon_intro zenon_H19. % 0.20/0.50 apply (zenon_notor_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.20/0.50 apply zenon_H1b. zenon_intro zenon_H1c. % 0.20/0.50 apply zenon_H1a. zenon_intro zenon_H1d. % 0.20/0.50 generalize (axiom_7a zenon_TY2_s). zenon_intro zenon_H1e. % 0.20/0.50 generalize (zenon_H1e zenon_TY1_n). zenon_intro zenon_H1f. % 0.20/0.50 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.20/0.50 generalize (zenon_H21 zenon_TY4_y). zenon_intro zenon_H22. % 0.20/0.50 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ]. % 0.20/0.50 exact (zenon_H24 zenon_H1d). % 0.20/0.50 exact (zenon_H23 zenon_H1c). % 0.20/0.50 exact (zenon_H20 zenon_H16). % 0.20/0.50 Qed. % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) % 0.20/0.50 nodes searched: 530 % 0.20/0.50 max branch formulas: 342 % 0.20/0.50 proof nodes created: 62 % 0.20/0.50 formulas created: 2364 % 0.20/0.50 %------------------------------------------------------------------------------