%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN366+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 13:51:33 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 % 0.03/0.11 % Problem : SYN366+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n019.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 : Tue Jul 12 08:40:08 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 x2117 : (((forall U : zenon_U, (forall V : zenon_U, ((big_r U U)<->(big_r U V))))/\(forall W : zenon_U, (forall Z : zenon_U, ((big_r W W)<->(big_r Z W)))))->((exists X : zenon_U, (big_r X X))->(forall Y : zenon_U, (big_r Y Y)))). % 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_notimply_s _ _ zenon_H1). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.18/0.48 elim zenon_H4. zenon_intro zenon_TX_h. zenon_intro zenon_H8. % 0.18/0.48 apply (zenon_notallex_s (fun Y : zenon_U => (big_r Y Y)) zenon_H3); [ zenon_intro zenon_H9; idtac ]. % 0.18/0.48 elim zenon_H9. zenon_intro zenon_TY_k. zenon_intro zenon_Hb. % 0.18/0.48 generalize (zenon_H6 zenon_TX_h). zenon_intro zenon_Hc. % 0.18/0.48 generalize (zenon_Hc zenon_TY_k). zenon_intro zenon_Hd. % 0.18/0.48 apply (zenon_equiv_s _ _ zenon_Hd); [ zenon_intro zenon_H10; zenon_intro zenon_Hf | zenon_intro zenon_H8; zenon_intro zenon_He ]. % 0.18/0.48 exact (zenon_H10 zenon_H8). % 0.18/0.48 generalize (zenon_H5 zenon_TY_k). zenon_intro zenon_H11. % 0.18/0.48 generalize (zenon_H11 zenon_TX_h). zenon_intro zenon_H12. % 0.18/0.48 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_Hb; zenon_intro zenon_Hf | zenon_intro zenon_H13; zenon_intro zenon_He ]. % 0.18/0.48 exact (zenon_Hf zenon_He). % 0.18/0.48 exact (zenon_Hb zenon_H13). % 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: 86 % 0.18/0.48 max branch formulas: 47 % 0.18/0.48 proof nodes created: 22 % 0.18/0.48 formulas created: 355 % 0.18/0.48 %------------------------------------------------------------------------------