%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN358+1 : TPTP v8.1.0. Released v2.0.0. % 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 13:51:29 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 % 0.12/0.12 % Problem : SYN358+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n013.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 00:14:14 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 x2109 : ((exists X : zenon_U, ((p)/\(big_q X)))<->((p)/\(exists X : zenon_U, (big_q X)))). % 0.20/0.50 Proof. % 0.20/0.50 assert (zenon_L1_ : (~(p)) -> (p) -> False). % 0.20/0.50 do 0 intro. intros zenon_H1 zenon_H2. % 0.20/0.50 exact (zenon_H1 zenon_H2). % 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_H4; zenon_intro zenon_H3 ]. % 0.20/0.50 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H2. zenon_intro zenon_H7. % 0.20/0.50 elim zenon_H7. zenon_intro zenon_TX_i. zenon_intro zenon_H9. % 0.20/0.50 apply zenon_H6. exists zenon_TX_i. apply NNPP. zenon_intro zenon_Ha. % 0.20/0.50 apply (zenon_notand_s _ _ zenon_Ha); [ zenon_intro zenon_H1 | zenon_intro zenon_Hb ]. % 0.20/0.50 exact (zenon_H1 zenon_H2). % 0.20/0.50 exact (zenon_Hb zenon_H9). % 0.20/0.50 elim zenon_H4. zenon_intro zenon_TX_m. zenon_intro zenon_Hd. % 0.20/0.50 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H2. zenon_intro zenon_He. % 0.20/0.50 apply (zenon_notand_s _ _ zenon_H3); [ zenon_intro zenon_H1 | zenon_intro zenon_Hf ]. % 0.20/0.50 exact (zenon_H1 zenon_H2). % 0.20/0.50 apply zenon_Hf. exists zenon_TX_m. apply NNPP. zenon_intro zenon_H10. % 0.20/0.50 exact (zenon_H10 zenon_He). % 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: 17 % 0.20/0.50 max branch formulas: 11 % 0.20/0.50 proof nodes created: 12 % 0.20/0.50 formulas created: 101 % 0.20/0.50 %------------------------------------------------------------------------------