%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUN088+2 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : NUN088+2 : TPTP v8.1.0. Released v7.3.0. % 0.03/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n023.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Thu Jun 2 05:51:41 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.53 (* PROOF-FOUND *) % 0.20/0.53 % SZS status Theorem % 0.20/0.53 (* BEGIN-PROOF *) % 0.20/0.53 % SZS output start Proof % 0.20/0.53 Theorem zerouneqone : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((~(r1 Y2))\/(~(Y2 = Y1))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))). % 0.20/0.53 Proof. % 0.20/0.53 apply NNPP. intro zenon_G. % 0.20/0.53 apply (zenon_notallex_s (fun Y1 : zenon_U => ((forall Y2 : zenon_U, ((~(r1 Y2))\/(~(Y2 = Y1))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))) zenon_G); [ zenon_intro zenon_Hc; idtac ]. % 0.20/0.53 elim zenon_Hc. zenon_intro zenon_TY1_n. zenon_intro zenon_He. % 0.20/0.53 apply (zenon_notor_s _ _ zenon_He). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.20/0.53 apply (zenon_notallex_s (fun Y3 : zenon_U => ((~(r1 Y3))\/(~(r2 Y3 zenon_TY1_n)))) zenon_Hf); [ zenon_intro zenon_H11; idtac ]. % 0.20/0.53 elim zenon_H11. zenon_intro zenon_TY3_s. zenon_intro zenon_H13. % 0.20/0.53 apply (zenon_notor_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.20/0.53 apply zenon_H14. zenon_intro zenon_H16. % 0.20/0.53 generalize (axiom_7a zenon_TY3_s). zenon_intro zenon_H17. % 0.20/0.53 generalize (zenon_H17 zenon_TY1_n). zenon_intro zenon_H18. % 0.20/0.53 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.20/0.53 exact (zenon_H10 zenon_H1a). % 0.20/0.53 exact (zenon_H19 zenon_H16). % 0.20/0.53 Qed. % 0.20/0.53 % SZS output end Proof % 0.20/0.53 (* END-PROOF *) % 0.20/0.53 nodes searched: 200 % 0.20/0.53 max branch formulas: 180 % 0.20/0.53 proof nodes created: 24 % 0.20/0.53 formulas created: 1306 % 0.20/0.53 %------------------------------------------------------------------------------