%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN979+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 13:56:49 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 : SYN979+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n013.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 01:36:14 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 prove_this : (forall A : zenon_U, (forall B : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, ((((q X)->(p X A))/\((q A)/\((q B)/\(((r Y)->(p B Y))/\((r A)/\((r B)/\(((s A)->(p X Y))/\(s A))))))))->(p A B)))))). % 0.18/0.48 Proof. % 0.18/0.48 apply NNPP. intro zenon_G. % 0.18/0.48 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (exists X : zenon_U, (exists Y : zenon_U, ((((q X)->(p X A))/\((q A)/\((q B)/\(((r Y)->(p B Y))/\((r A)/\((r B)/\(((s A)->(p X Y))/\(s A))))))))->(p A B)))))) zenon_G); [ zenon_intro zenon_H3; idtac ]. % 0.18/0.48 elim zenon_H3. zenon_intro zenon_TA_e. zenon_intro zenon_H5. % 0.18/0.48 apply (zenon_notallex_s (fun B : zenon_U => (exists X : zenon_U, (exists Y : zenon_U, ((((q X)->(p X zenon_TA_e))/\((q zenon_TA_e)/\((q B)/\(((r Y)->(p B Y))/\((r zenon_TA_e)/\((r B)/\(((s zenon_TA_e)->(p X Y))/\(s zenon_TA_e))))))))->(p zenon_TA_e B))))) zenon_H5); [ zenon_intro zenon_H6; idtac ]. % 0.18/0.48 elim zenon_H6. zenon_intro zenon_TB_h. zenon_intro zenon_H8. % 0.18/0.48 apply zenon_H8. exists zenon_TA_e. apply NNPP. zenon_intro zenon_H9. % 0.18/0.48 apply zenon_H9. exists zenon_TB_h. apply NNPP. zenon_intro zenon_Ha. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.18/0.48 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.18/0.48 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.18/0.48 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.18/0.48 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.18/0.48 exact (zenon_H1c zenon_H19). % 0.18/0.48 exact (zenon_Hb zenon_H1b). % 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: 31 % 0.18/0.48 max branch formulas: 39 % 0.18/0.48 proof nodes created: 12 % 0.18/0.48 formulas created: 325 % 0.18/0.48 %------------------------------------------------------------------------------