%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN942+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:56:35 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN942+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n009.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 12 00:14:37 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem prove_this : (((forall X : zenon_U, ((a X)->((b X)\/(c X))))/\(~(forall X : zenon_U, ((a X)->(b X)))))->(exists X : zenon_U, ((a X)/\(c X)))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.20/0.51 apply (zenon_notallex_s (fun X : zenon_U => ((a X)->(b X))) zenon_H3); [ zenon_intro zenon_H5; idtac ]. % 0.20/0.51 elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.20/0.51 generalize (zenon_H4 zenon_TX_g). zenon_intro zenon_Ha. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.20/0.51 exact (zenon_Hc zenon_H9). % 0.20/0.51 apply (zenon_or_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.20/0.51 exact (zenon_H8 zenon_He). % 0.20/0.51 apply zenon_H1. exists zenon_TX_g. apply NNPP. zenon_intro zenon_Hf. % 0.20/0.51 apply (zenon_notand_s _ _ zenon_Hf); [ zenon_intro zenon_Hc | zenon_intro zenon_H10 ]. % 0.20/0.51 exact (zenon_Hc zenon_H9). % 0.20/0.51 exact (zenon_H10 zenon_Hd). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 22 % 0.20/0.51 max branch formulas: 21 % 0.20/0.51 proof nodes created: 12 % 0.20/0.51 formulas created: 133 % 0.20/0.51 %------------------------------------------------------------------------------