%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN934+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n019.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 13:56:32 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 % 0.07/0.12 % Problem : SYN934+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n019.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 : Mon Jul 11 21:19:38 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 prove_this : ((exists X : zenon_U, ((c)->(p X)))<->((c)->(exists X : zenon_U, (p X)))). % 0.20/0.50 Proof. % 0.20/0.50 assert (zenon_L1_ : (~(c)) -> (c) -> False). % 0.20/0.50 do 0 intro. intros zenon_H2 zenon_H3. % 0.20/0.50 exact (zenon_H2 zenon_H3). % 0.20/0.50 (* end of lemma zenon_L1_ *) % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H6; zenon_intro zenon_H5 | zenon_intro zenon_H0; zenon_intro zenon_H4 ]. % 0.20/0.50 apply (zenon_imply_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H7 ]. % 0.20/0.50 apply zenon_H6. exists zenon_E. apply NNPP. zenon_intro zenon_H8. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_H3. zenon_intro zenon_H9. % 0.20/0.50 exact (zenon_H2 zenon_H3). % 0.20/0.50 elim zenon_H7. zenon_intro zenon_TX_k. zenon_intro zenon_Hb. % 0.20/0.50 apply zenon_H6. exists zenon_TX_k. apply NNPP. zenon_intro zenon_Hc. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Hc). zenon_intro zenon_H3. zenon_intro zenon_Hd. % 0.20/0.50 exact (zenon_Hd zenon_Hb). % 0.20/0.50 elim zenon_H0. zenon_intro zenon_TX_o. zenon_intro zenon_Hf. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H3. zenon_intro zenon_H10. % 0.20/0.50 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H2 | zenon_intro zenon_H11 ]. % 0.20/0.50 exact (zenon_H2 zenon_H3). % 0.20/0.50 apply zenon_H10. exists zenon_TX_o. apply NNPP. zenon_intro zenon_H12. % 0.20/0.50 exact (zenon_H12 zenon_H11). % 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: 19 % 0.20/0.50 max branch formulas: 11 % 0.20/0.50 proof nodes created: 14 % 0.20/0.50 formulas created: 107 % 0.20/0.50 %------------------------------------------------------------------------------