%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN064+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:49:17 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 % 0.03/0.12 % Problem : SYN064+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n009.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 05:04:22 EDT 2022 % 0.12/0.33 % 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 pel35 : (exists X : zenon_U, (exists Y : zenon_U, ((big_p X Y)->(forall Z : zenon_U, (forall W : zenon_U, (big_p Z W)))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H3. % 0.18/0.49 apply zenon_H3. exists zenon_E. apply NNPP. zenon_intro zenon_H4. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.18/0.49 apply (zenon_notallex_s (fun Z : zenon_U => (forall W : zenon_U, (big_p Z W))) zenon_H5); [ zenon_intro zenon_H7; idtac ]. % 0.18/0.49 elim zenon_H7. zenon_intro zenon_TZ_i. zenon_intro zenon_H9. % 0.18/0.49 apply (zenon_notallex_s (fun W : zenon_U => (big_p zenon_TZ_i W)) zenon_H9); [ zenon_intro zenon_Ha; idtac ]. % 0.18/0.49 elim zenon_Ha. zenon_intro zenon_TW_l. zenon_intro zenon_Hc. % 0.18/0.49 apply zenon_G. exists zenon_TZ_i. apply NNPP. zenon_intro zenon_Hd. % 0.18/0.49 apply zenon_Hd. exists zenon_TW_l. apply NNPP. zenon_intro zenon_He. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_He). zenon_intro zenon_Hf. zenon_intro zenon_H5. % 0.18/0.49 exact (zenon_Hc zenon_Hf). % 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: 19 % 0.18/0.49 max branch formulas: 19 % 0.18/0.49 proof nodes created: 10 % 0.18/0.49 formulas created: 140 % 0.18/0.49 %------------------------------------------------------------------------------