%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN407+1 : TPTP v8.1.0. Released v2.0.0. % 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 : Thu Jul 21 13:51:54 EDT 2022 % Result : Theorem 0.18s 0.48s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYN407+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n023.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 20:22:09 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.48 (* PROOF-FOUND *) % 0.18/0.48 % SZS status Theorem % 0.18/0.48 (* BEGIN-PROOF *) % 0.18/0.48 % SZS output start Proof % 0.18/0.48 Theorem kalish241 : ((forall X : zenon_U, ((f X)->((g X)\/(h X))))->((forall Y : zenon_U, ((f Y)->(g Y)))\/(exists Z : zenon_U, ((f Z)/\(h Z))))). % 0.18/0.48 Proof. % 0.18/0.48 apply NNPP. intro zenon_G. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.18/0.48 apply (zenon_notor_s _ _ zenon_H1). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.18/0.48 apply (zenon_notallex_s (fun Y : zenon_U => ((f Y)->(g Y))) zenon_H4); [ zenon_intro zenon_H5; idtac ]. % 0.18/0.48 elim zenon_H5. zenon_intro zenon_TY_g. zenon_intro zenon_H7. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.18/0.48 generalize (zenon_H2 zenon_TY_g). zenon_intro zenon_Ha. % 0.18/0.48 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.18/0.48 exact (zenon_Hc zenon_H9). % 0.18/0.48 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.18/0.48 exact (zenon_H8 zenon_He). % 0.18/0.48 apply zenon_H3. exists zenon_TY_g. apply NNPP. zenon_intro zenon_Hf. % 0.18/0.48 apply (zenon_notand_s _ _ zenon_Hf); [ zenon_intro zenon_Hc | zenon_intro zenon_H10 ]. % 0.18/0.48 exact (zenon_Hc zenon_H9). % 0.18/0.48 exact (zenon_H10 zenon_Hd). % 0.18/0.48 Qed. % 0.18/0.48 % SZS output end Proof % 0.18/0.48 (* END-PROOF *) % 0.18/0.48 nodes searched: 22 % 0.18/0.48 max branch formulas: 21 % 0.18/0.48 proof nodes created: 12 % 0.18/0.48 formulas created: 140 % 0.18/0.48 %------------------------------------------------------------------------------