%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN949+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 13:56:37 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN949+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n018.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Tue Jul 12 04:38:59 EDT 2022 % 0.13/0.33 % CPUTime : % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem prove_this : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (((s A)/\((s B)/\((r B C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y)))))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (((s A)/\((s B)/\((r B C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y)))))))) zenon_G); [ zenon_intro zenon_H1; idtac ]. % 0.18/0.49 elim zenon_H1. zenon_intro zenon_TA_c. zenon_intro zenon_H3. % 0.18/0.49 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (((s zenon_TA_c)/\((s B)/\((r B C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y))))))) zenon_H3); [ zenon_intro zenon_H4; idtac ]. % 0.18/0.49 elim zenon_H4. zenon_intro zenon_TB_f. zenon_intro zenon_H6. % 0.18/0.49 apply (zenon_notallex_s (fun C : zenon_U => (((s zenon_TA_c)/\((s zenon_TB_f)/\((r zenon_TB_f C)/\((forall X : zenon_U, ((s X)->(p X)))/\(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(q X Y))))))))->(exists X : zenon_U, (exists Y : zenon_U, ((p X)/\(q X Y)))))) zenon_H6); [ zenon_intro zenon_H7; idtac ]. % 0.18/0.49 elim zenon_H7. zenon_intro zenon_TC_i. zenon_intro zenon_H9. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.18/0.49 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.18/0.49 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.18/0.49 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.18/0.49 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.18/0.49 apply zenon_Ha. exists zenon_TB_f. apply NNPP. zenon_intro zenon_H14. % 0.18/0.49 apply zenon_H14. exists zenon_TC_i. apply NNPP. zenon_intro zenon_H15. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.18/0.49 generalize (zenon_H13 zenon_TB_f). zenon_intro zenon_H18. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.18/0.49 exact (zenon_H1a zenon_Hf). % 0.18/0.49 exact (zenon_H17 zenon_H19). % 0.18/0.49 generalize (zenon_H12 zenon_TB_f). zenon_intro zenon_H1b. % 0.18/0.49 generalize (zenon_H1b zenon_TC_i). zenon_intro zenon_H1c. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H1e | zenon_intro zenon_H1d ]. % 0.18/0.49 exact (zenon_H1e zenon_H11). % 0.18/0.49 exact (zenon_H16 zenon_H1d). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 61 % 0.18/0.49 max branch formulas: 55 % 0.18/0.49 proof nodes created: 21 % 0.18/0.49 formulas created: 313 % 0.18/0.49 %------------------------------------------------------------------------------