%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN721+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 13:55:16 EDT 2022 % Result : Theorem 0.21s 0.52s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN721+1 : TPTP v8.1.0. Released v2.5.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n013.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Mon Jul 11 20:48:59 EDT 2022 % 0.14/0.35 % CPUTime : % 0.21/0.52 (* PROOF-FOUND *) % 0.21/0.52 % SZS status Theorem % 0.21/0.52 (* BEGIN-PROOF *) % 0.21/0.52 % SZS output start Proof % 0.21/0.52 Theorem lx1 : (((r (a) (b))/\((forall X : zenon_U, ((exists Y : zenon_U, (r X Y))->(q X X)))/\(forall U : zenon_U, (forall V : zenon_U, ((q U V)->(forall Z : zenon_U, (r Z V)))))))->(exists W : zenon_U, ((r (b) W)/\(q W (a))))). % 0.21/0.52 Proof. % 0.21/0.52 assert (zenon_L1_ : (forall Z : zenon_U, (r Z (a))) -> (~(r (b) (a))) -> False). % 0.21/0.52 do 0 intro. intros zenon_H1 zenon_H2. % 0.21/0.52 generalize (zenon_H1 (b)). zenon_intro zenon_H3. % 0.21/0.52 exact (zenon_H2 zenon_H3). % 0.21/0.52 (* end of lemma zenon_L1_ *) % 0.21/0.52 apply NNPP. intro zenon_G. % 0.21/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.21/0.52 apply (zenon_and_s _ _ zenon_H6). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.21/0.52 generalize (zenon_H9 (a)). zenon_intro zenon_Ha. % 0.21/0.52 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.21/0.52 apply zenon_Hc. exists (b). apply NNPP. zenon_intro zenon_Hd. % 0.21/0.52 exact (zenon_Hd zenon_H7). % 0.21/0.52 apply zenon_H4. exists (a). apply NNPP. zenon_intro zenon_He. % 0.21/0.52 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H2 | zenon_intro zenon_Hf ]. % 0.21/0.52 generalize (zenon_H8 (a)). zenon_intro zenon_H10. % 0.21/0.52 generalize (zenon_H10 (a)). zenon_intro zenon_H11. % 0.21/0.52 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_Hf | zenon_intro zenon_H1 ]. % 0.21/0.52 exact (zenon_Hf zenon_Hb). % 0.21/0.52 apply (zenon_L1_); trivial. % 0.21/0.52 exact (zenon_Hf zenon_Hb). % 0.21/0.52 Qed. % 0.21/0.52 % SZS output end Proof % 0.21/0.52 (* END-PROOF *) % 0.21/0.52 nodes searched: 63 % 0.21/0.52 max branch formulas: 42 % 0.21/0.52 proof nodes created: 16 % 0.21/0.52 formulas created: 331 % 0.21/0.52 %------------------------------------------------------------------------------