%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN381+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 13:51:40 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 % 0.10/0.12 % Problem : SYN381+1 : TPTP v8.1.0. Released v2.0.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n024.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jul 11 22:07:13 EDT 2022 % 0.12/0.34 % 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 x2133 : (((forall X : zenon_U, ((exists Y : zenon_U, (big_q X Y))->(big_p X)))/\((forall V : zenon_U, (exists U : zenon_U, (big_q U V)))/\(forall W : zenon_U, (forall Z : zenon_U, ((big_q W Z)->((big_q Z W)\/(big_q Z Z)))))))->(forall Z : zenon_U, (big_p Z))). % 0.19/0.50 Proof. % 0.19/0.50 assert (zenon_L1_ : forall (zenon_TZ_d : zenon_U), (~(exists Y : zenon_U, (big_q zenon_TZ_d Y))) -> (big_q zenon_TZ_d zenon_TZ_d) -> False). % 0.19/0.50 do 1 intro. intros zenon_H1 zenon_H2. % 0.19/0.50 apply zenon_H1. exists zenon_TZ_d. apply NNPP. zenon_intro zenon_H4. % 0.19/0.50 exact (zenon_H4 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_H6. zenon_intro zenon_H5. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H6). zenon_intro zenon_H8. zenon_intro zenon_H7. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_Ha. zenon_intro zenon_H9. % 0.19/0.50 apply (zenon_notallex_s (fun Z : zenon_U => (big_p Z)) zenon_H5); [ zenon_intro zenon_Hb; idtac ]. % 0.19/0.50 elim zenon_Hb. zenon_intro zenon_TZ_d. zenon_intro zenon_Hc. % 0.19/0.50 generalize (zenon_H8 zenon_TZ_d). zenon_intro zenon_Hd. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_Hd); [ zenon_intro zenon_H1 | zenon_intro zenon_He ]. % 0.19/0.50 generalize (zenon_Ha zenon_TZ_d). zenon_intro zenon_Hf. % 0.19/0.50 elim zenon_Hf. zenon_intro zenon_TU_q. zenon_intro zenon_H11. % 0.19/0.50 generalize (zenon_H9 zenon_TU_q). zenon_intro zenon_H12. % 0.19/0.50 apply zenon_H1. exists zenon_TU_q. apply NNPP. zenon_intro zenon_H13. % 0.19/0.50 generalize (zenon_H12 zenon_TZ_d). zenon_intro zenon_H14. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 0.19/0.50 exact (zenon_H16 zenon_H11). % 0.19/0.50 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H2 ]. % 0.19/0.50 exact (zenon_H13 zenon_H17). % 0.19/0.50 apply (zenon_L1_ zenon_TZ_d); trivial. % 0.19/0.50 exact (zenon_Hc zenon_He). % 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: 80 % 0.19/0.50 max branch formulas: 58 % 0.19/0.50 proof nodes created: 21 % 0.19/0.50 formulas created: 383 % 0.19/0.50 %------------------------------------------------------------------------------