%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN362+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 13:51:31 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN362+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.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 : Mon Jul 11 22:35:43 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem x2113 : (((forall Y : zenon_U, (exists W : zenon_U, (big_r Y W)))/\(exists Z : zenon_U, (forall X : zenon_U, ((big_p X)->(~(big_r Z X))))))->(exists X : zenon_U, (~(big_p X)))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.19/0.49 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.19/0.49 elim zenon_H3. zenon_intro zenon_TZ_f. zenon_intro zenon_H6. % 0.19/0.49 generalize (zenon_H4 zenon_TZ_f). zenon_intro zenon_H7. % 0.19/0.49 elim zenon_H7. zenon_intro zenon_TW_i. zenon_intro zenon_H9. % 0.19/0.49 generalize (zenon_H6 zenon_TW_i). zenon_intro zenon_Ha. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.19/0.49 apply zenon_H1. exists zenon_TW_i. apply NNPP. zenon_intro zenon_Hd. % 0.19/0.49 exact (zenon_Hd zenon_Hc). % 0.19/0.49 exact (zenon_Hb zenon_H9). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 23 % 0.19/0.49 max branch formulas: 23 % 0.19/0.49 proof nodes created: 11 % 0.19/0.49 formulas created: 144 % 0.19/0.49 %------------------------------------------------------------------------------