%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN945+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 13:56:36 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 % 0.03/0.12 % Problem : SYN945+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n008.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 22:38:38 EDT 2022 % 0.12/0.33 % 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 A : zenon_U, (forall B : zenon_U, ((p A)/\(p B))))). % 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 A : zenon_U => (forall B : zenon_U, ((p A)/\(p B)))) zenon_H1); [ zenon_intro zenon_H3; idtac ]. % 0.19/0.49 elim zenon_H3. zenon_intro zenon_TA_e. zenon_intro zenon_H5. % 0.19/0.49 apply (zenon_notallex_s (fun B : zenon_U => ((p zenon_TA_e)/\(p B))) zenon_H5); [ zenon_intro zenon_H6; idtac ]. % 0.19/0.49 elim zenon_H6. zenon_intro zenon_TB_h. zenon_intro zenon_H8. % 0.19/0.49 apply (zenon_notand_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.19/0.49 generalize (zenon_H2 zenon_TA_e). zenon_intro zenon_Hb. % 0.19/0.49 exact (zenon_Ha zenon_Hb). % 0.19/0.49 generalize (zenon_H2 zenon_TB_h). zenon_intro zenon_Hc. % 0.19/0.49 exact (zenon_H9 zenon_Hc). % 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: 14 % 0.19/0.49 max branch formulas: 11 % 0.19/0.49 proof nodes created: 8 % 0.19/0.49 formulas created: 98 % 0.19/0.49 %------------------------------------------------------------------------------