%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN409+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n004.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 : Thu Jul 21 13:51:55 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN409+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n004.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 : Tue Jul 12 06:27:52 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem kalish246 : ((forall X : zenon_U, (f X))<->(forall Y : zenon_U, (forall Z : zenon_U, ((f Y)/\(f Z))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H5; zenon_intro zenon_H4 | zenon_intro zenon_H3; zenon_intro zenon_H2 ]. % 0.18/0.49 apply (zenon_notallex_s (fun X : zenon_U => (f X)) zenon_H5); [ zenon_intro zenon_H6; idtac ]. % 0.18/0.49 elim zenon_H6. zenon_intro zenon_TX_h. zenon_intro zenon_H8. % 0.18/0.49 generalize (zenon_H4 zenon_TX_h). zenon_intro zenon_H0. % 0.18/0.49 generalize (zenon_H0 zenon_E). zenon_intro zenon_H9. % 0.18/0.49 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.18/0.49 exact (zenon_H8 zenon_Hb). % 0.18/0.49 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, ((f Y)/\(f Z)))) zenon_H2); [ zenon_intro zenon_Hc; idtac ]. % 0.18/0.49 elim zenon_Hc. zenon_intro zenon_TY_n. zenon_intro zenon_He. % 0.18/0.49 apply (zenon_notallex_s (fun Z : zenon_U => ((f zenon_TY_n)/\(f Z))) zenon_He); [ zenon_intro zenon_Hf; idtac ]. % 0.18/0.49 elim zenon_Hf. zenon_intro zenon_TZ_q. zenon_intro zenon_H11. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.18/0.49 generalize (zenon_H3 zenon_TY_n). zenon_intro zenon_H14. % 0.18/0.49 exact (zenon_H13 zenon_H14). % 0.18/0.49 generalize (zenon_H3 zenon_TZ_q). zenon_intro zenon_H15. % 0.18/0.49 exact (zenon_H12 zenon_H15). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 25 % 0.18/0.49 max branch formulas: 15 % 0.18/0.49 proof nodes created: 13 % 0.18/0.49 formulas created: 149 % 0.18/0.49 %------------------------------------------------------------------------------