%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN923+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 13:56:28 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN923+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n022.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 06:18:25 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem prove_this : (((forall X : zenon_U, (p X))\/(forall X : zenon_U, (q X)))->(forall X : zenon_U, ((p X)\/(q X)))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.19/0.49 apply (zenon_notallex_s (fun X : zenon_U => ((p X)\/(q X))) zenon_H1); [ zenon_intro zenon_H3; idtac ]. % 0.19/0.49 elim zenon_H3. zenon_intro zenon_TX_e. zenon_intro zenon_H5. % 0.19/0.49 apply (zenon_notor_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.19/0.49 apply (zenon_or_s _ _ zenon_H2); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.19/0.49 generalize (zenon_H9 zenon_TX_e). zenon_intro zenon_Ha. % 0.19/0.49 exact (zenon_H7 zenon_Ha). % 0.19/0.49 generalize (zenon_H8 zenon_TX_e). zenon_intro zenon_Hb. % 0.19/0.49 exact (zenon_H6 zenon_Hb). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 13 % 0.19/0.49 max branch formulas: 11 % 0.19/0.49 proof nodes created: 8 % 0.19/0.49 formulas created: 92 % 0.19/0.49 %------------------------------------------------------------------------------