%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN399+1 : TPTP v8.1.0. Released v2.0.0. % 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 : Thu Jul 21 13:51:51 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 % 0.07/0.11 % Problem : SYN399+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n029.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 : Mon Jul 11 14:10:17 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 kalish223 : ((forall X : zenon_U, ((f X)<->(p)))->((forall Y : zenon_U, (f Y))<->(p))). % 0.18/0.49 Proof. % 0.18/0.49 assert (zenon_L1_ : (~(p)) -> (p) -> False). % 0.18/0.49 do 0 intro. intros zenon_H2 zenon_H3. % 0.18/0.49 exact (zenon_H2 zenon_H3). % 0.18/0.49 (* end of lemma zenon_L1_ *) % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.18/0.49 apply (zenon_notequiv_s _ _ zenon_H4); [ zenon_intro zenon_H6; zenon_intro zenon_H3 | zenon_intro zenon_H0; zenon_intro zenon_H2 ]. % 0.18/0.49 apply (zenon_notallex_s (fun Y : zenon_U => (f Y)) zenon_H6); [ zenon_intro zenon_H7; idtac ]. % 0.18/0.49 elim zenon_H7. zenon_intro zenon_TY_i. zenon_intro zenon_H9. % 0.18/0.49 generalize (zenon_H5 zenon_TY_i). zenon_intro zenon_Ha. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_Ha); [ zenon_intro zenon_H9; zenon_intro zenon_H2 | zenon_intro zenon_Hb; zenon_intro zenon_H3 ]. % 0.18/0.49 exact (zenon_H2 zenon_H3). % 0.18/0.49 exact (zenon_H9 zenon_Hb). % 0.18/0.49 generalize (zenon_H0 zenon_E). zenon_intro zenon_Hc. % 0.18/0.49 generalize (zenon_H5 zenon_E). zenon_intro zenon_Hd. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_He; zenon_intro zenon_H2 | zenon_intro zenon_Hc; zenon_intro zenon_H3 ]. % 0.18/0.49 exact (zenon_He zenon_Hc). % 0.18/0.49 exact (zenon_H2 zenon_H3). % 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: 18 % 0.18/0.49 max branch formulas: 12 % 0.18/0.49 proof nodes created: 11 % 0.18/0.49 formulas created: 108 % 0.18/0.49 %------------------------------------------------------------------------------