%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 13:51:29 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN359+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n014.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 : Mon Jul 11 15:19:49 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem x2110 : (((exists X : zenon_U, (big_r X))/\((forall Y : zenon_U, ((big_r Y)->(exists Z : zenon_U, (big_q Y Z))))/\(forall X : zenon_U, (forall Y : zenon_U, ((big_q X Y)->(big_q X X))))))->(exists X : zenon_U, (exists Y : zenon_U, ((big_q X Y)/\(big_r Y))))). % 0.19/0.50 Proof. % 0.19/0.50 assert (zenon_L1_ : forall (zenon_TX_e : zenon_U), (~(exists X : zenon_U, (exists Y : zenon_U, ((big_q X Y)/\(big_r Y))))) -> (big_r zenon_TX_e) -> (big_q zenon_TX_e zenon_TX_e) -> False). % 0.19/0.50 do 1 intro. intros zenon_H1 zenon_H2 zenon_H3. % 0.19/0.50 apply zenon_H1. exists zenon_TX_e. apply NNPP. zenon_intro zenon_H5. % 0.19/0.50 apply zenon_H5. exists zenon_TX_e. apply NNPP. zenon_intro zenon_H6. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H6); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.19/0.50 exact (zenon_H8 zenon_H3). % 0.19/0.50 exact (zenon_H7 zenon_H2). % 0.19/0.50 (* end of lemma zenon_L1_ *) % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H9. zenon_intro zenon_H1. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.19/0.50 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.19/0.50 elim zenon_Hb. zenon_intro zenon_TX_e. zenon_intro zenon_H2. % 0.19/0.50 generalize (zenon_Hd zenon_TX_e). zenon_intro zenon_He. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_He); [ zenon_intro zenon_H7 | zenon_intro zenon_Hf ]. % 0.19/0.50 exact (zenon_H7 zenon_H2). % 0.19/0.50 elim zenon_Hf. zenon_intro zenon_TZ_q. zenon_intro zenon_H11. % 0.19/0.50 generalize (zenon_Hc zenon_TX_e). zenon_intro zenon_H12. % 0.19/0.50 generalize (zenon_H12 zenon_TZ_q). zenon_intro zenon_H13. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H14 | zenon_intro zenon_H3 ]. % 0.19/0.50 exact (zenon_H14 zenon_H11). % 0.19/0.50 apply (zenon_L1_ zenon_TX_e); trivial. % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 69 % 0.19/0.50 max branch formulas: 51 % 0.19/0.50 proof nodes created: 20 % 0.19/0.50 formulas created: 344 % 0.19/0.50 %------------------------------------------------------------------------------