%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUN088+1 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : NUN088+1 : TPTP v8.1.0. Released v7.3.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 2 03:27:30 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.53 (* PROOF-FOUND *) % 0.19/0.53 % SZS status Theorem % 0.19/0.53 (* BEGIN-PROOF *) % 0.19/0.53 % SZS output start Proof % 0.19/0.53 Theorem zerounidone : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((~(id Y2 Y1))\/(~(r1 Y2))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))). % 0.19/0.53 Proof. % 0.19/0.53 apply NNPP. intro zenon_G. % 0.19/0.53 apply (zenon_notallex_s (fun Y1 : zenon_U => ((forall Y2 : zenon_U, ((~(id Y2 Y1))\/(~(r1 Y2))))\/(forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y1)))))) zenon_G); [ zenon_intro zenon_H13; idtac ]. % 0.19/0.53 elim zenon_H13. zenon_intro zenon_TY1_u. zenon_intro zenon_H15. % 0.19/0.53 apply (zenon_notor_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.19/0.53 apply (zenon_notallex_s (fun Y3 : zenon_U => ((~(r1 Y3))\/(~(r2 Y3 zenon_TY1_u)))) zenon_H16); [ zenon_intro zenon_H18; idtac ]. % 0.19/0.53 elim zenon_H18. zenon_intro zenon_TY3_z. zenon_intro zenon_H1a. % 0.19/0.53 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.19/0.53 apply zenon_H1b. zenon_intro zenon_H1d. % 0.19/0.53 generalize (axiom_7a zenon_TY3_z). zenon_intro zenon_H1e. % 0.19/0.53 generalize (zenon_H1e zenon_TY1_u). zenon_intro zenon_H1f. % 0.19/0.53 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.19/0.53 exact (zenon_H17 zenon_H21). % 0.19/0.53 exact (zenon_H20 zenon_H1d). % 0.19/0.53 Qed. % 0.19/0.53 % SZS output end Proof % 0.19/0.53 (* END-PROOF *) % 0.19/0.53 nodes searched: 1380 % 0.19/0.53 max branch formulas: 814 % 0.19/0.53 proof nodes created: 120 % 0.19/0.53 formulas created: 9892 % 0.19/0.53 %------------------------------------------------------------------------------