%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 0.44s 0.60s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n025.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Thu Jun 2 02:59:59 EDT 2022 % 0.14/0.34 % CPUTime : % 0.44/0.60 (* PROOF-FOUND *) % 0.44/0.60 % SZS status Theorem % 0.44/0.60 (* BEGIN-PROOF *) % 0.44/0.60 % SZS output start Proof % 0.44/0.60 Theorem zerounidtwo : (forall Y1 : zenon_U, ((forall Y2 : zenon_U, ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 Y1))))\/(forall Y4 : zenon_U, ((~(id Y4 Y1))\/(~(r1 Y4)))))). % 0.44/0.60 Proof. % 0.44/0.60 apply NNPP. intro zenon_G. % 0.44/0.60 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, ((~(id Y4 Y1))\/(~(r1 Y4)))))) zenon_G); [ zenon_intro zenon_H13; idtac ]. % 0.44/0.60 elim zenon_H13. zenon_intro zenon_TY1_u. zenon_intro zenon_H15. % 0.44/0.60 apply (zenon_notor_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.44/0.60 apply (zenon_notallex_s (fun Y2 : zenon_U => ((forall Y3 : zenon_U, ((~(r1 Y3))\/(~(r2 Y3 Y2))))\/(~(r2 Y2 zenon_TY1_u)))) zenon_H17); [ zenon_intro zenon_H18; idtac ]. % 0.44/0.60 elim zenon_H18. zenon_intro zenon_TY2_z. zenon_intro zenon_H1a. % 0.44/0.60 apply (zenon_notor_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.44/0.60 apply zenon_H1b. zenon_intro zenon_H1d. % 0.44/0.60 generalize (axiom_7a zenon_TY2_z). zenon_intro zenon_H1e. % 0.44/0.60 generalize (zenon_H1e zenon_TY1_u). zenon_intro zenon_H1f. % 0.44/0.60 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ]. % 0.44/0.60 exact (zenon_H16 zenon_H21). % 0.44/0.60 exact (zenon_H20 zenon_H1d). % 0.44/0.60 Qed. % 0.44/0.60 % SZS output end Proof % 0.44/0.60 (* END-PROOF *) % 0.44/0.60 nodes searched: 2818 % 0.44/0.60 max branch formulas: 1068 % 0.44/0.60 proof nodes created: 250 % 0.44/0.60 formulas created: 16244 % 0.44/0.60 %------------------------------------------------------------------------------