%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 13:55:22 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 % 0.03/0.12 % Problem : SYN732+1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n025.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Mon Jul 11 14:47:02 EDT 2022 % 0.14/0.34 % 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 x3411 : ((forall Y : zenon_U, ((forall X : zenon_U, (p X Y))->(forall U : zenon_U, (q U Y))))->(exists Z : zenon_U, ((exists V : zenon_U, (p V Z))->(exists W : zenon_U, ((p Z W)\/(q W 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_H3. zenon_intro zenon_H2. % 0.20/0.50 apply zenon_H2. exists zenon_E. apply NNPP. zenon_intro zenon_H4. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.20/0.50 elim zenon_H6. zenon_intro zenon_TV_h. zenon_intro zenon_H8. % 0.20/0.50 apply zenon_H2. exists zenon_TV_h. apply NNPP. zenon_intro zenon_H9. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H9). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.20/0.50 apply zenon_Ha. exists zenon_E. apply NNPP. zenon_intro zenon_Hc. % 0.20/0.50 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.20/0.50 exact (zenon_He zenon_H8). % 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: 80 % 0.20/0.50 max branch formulas: 53 % 0.20/0.50 proof nodes created: 21 % 0.20/0.50 formulas created: 447 % 0.20/0.50 %------------------------------------------------------------------------------