%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN379+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n003.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 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN379+1 : TPTP v8.1.0. Released v2.0.0. % 0.06/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n003.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 12 03:53:00 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 Theorem x2131 : ((forall X : zenon_U, (big_p X))->(exists Y : zenon_U, ((forall X : zenon_U, (forall Z : zenon_U, (big_q X Y Z)))->(~(forall Z : zenon_U, ((big_p Z)/\(~(big_q Y Y Z)))))))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.20/0.50 apply zenon_H3. exists zenon_E. apply NNPP. zenon_intro zenon_H5. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.20/0.50 apply zenon_H6. zenon_intro zenon_H8. % 0.20/0.50 generalize (zenon_H7 zenon_E). zenon_intro zenon_H9. % 0.20/0.50 generalize (zenon_H9 zenon_E). zenon_intro zenon_Ha. % 0.20/0.50 generalize (zenon_H8 zenon_E). zenon_intro zenon_Hb. % 0.20/0.50 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.20/0.50 exact (zenon_Hc zenon_Ha). % 0.20/0.50 Qed. % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) % 0.20/0.50 nodes searched: 24 % 0.20/0.50 max branch formulas: 26 % 0.20/0.50 proof nodes created: 10 % 0.20/0.50 formulas created: 180 % 0.20/0.50 %------------------------------------------------------------------------------