%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN377+1 : TPTP v8.1.0. Released v2.0.0. % 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 13:51:38 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 : SYN377+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n025.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 12 06:10:48 EDT 2022 % 0.12/0.34 % 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 x2128 : ((forall X : zenon_U, ((big_p X)<->(forall Y : zenon_U, (big_p Y))))<->((exists X : zenon_U, (big_p X))<->(forall Y : zenon_U, (big_p Y)))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H5; zenon_intro zenon_H4 | zenon_intro zenon_H3; zenon_intro zenon_H2 ]. % 0.20/0.50 apply (zenon_notallex_s (fun X : zenon_U => ((big_p X)<->(forall Y : zenon_U, (big_p Y)))) zenon_H5); [ zenon_intro zenon_H6; idtac ]. % 0.20/0.50 elim zenon_H6. zenon_intro zenon_TX_h. zenon_intro zenon_H8. % 0.20/0.50 apply (zenon_notequiv_s _ _ zenon_H8); [ zenon_intro zenon_Hb; zenon_intro zenon_H0 | zenon_intro zenon_Ha; zenon_intro zenon_H9 ]. % 0.20/0.50 generalize (zenon_H0 zenon_TX_h). zenon_intro zenon_Ha. % 0.20/0.50 exact (zenon_Hb zenon_Ha). % 0.20/0.50 apply (zenon_equiv_s _ _ zenon_H4); [ zenon_intro zenon_Hd; zenon_intro zenon_H9 | zenon_intro zenon_Hc; zenon_intro zenon_H0 ]. % 0.20/0.50 apply zenon_Hd. exists zenon_TX_h. apply NNPP. zenon_intro zenon_Hb. % 0.20/0.50 exact (zenon_Hb zenon_Ha). % 0.20/0.50 exact (zenon_H9 zenon_H0). % 0.20/0.50 apply (zenon_notequiv_s _ _ zenon_H2); [ zenon_intro zenon_Hd; zenon_intro zenon_H0 | zenon_intro zenon_Hc; zenon_intro zenon_H9 ]. % 0.20/0.50 generalize (zenon_H0 zenon_E). zenon_intro zenon_He. % 0.20/0.50 apply zenon_Hd. exists zenon_E. apply NNPP. zenon_intro zenon_Hf. % 0.20/0.50 exact (zenon_Hf zenon_He). % 0.20/0.50 elim zenon_Hc. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.20/0.50 generalize (zenon_H3 zenon_TX_q). zenon_intro zenon_H12. % 0.20/0.50 apply (zenon_equiv_s _ _ zenon_H12); [ zenon_intro zenon_H13; zenon_intro zenon_H9 | zenon_intro zenon_H11; zenon_intro zenon_H0 ]. % 0.20/0.50 exact (zenon_H13 zenon_H11). % 0.20/0.50 exact (zenon_H9 zenon_H0). % 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: 39 % 0.20/0.50 max branch formulas: 13 % 0.20/0.50 proof nodes created: 19 % 0.20/0.50 formulas created: 148 % 0.20/0.50 %------------------------------------------------------------------------------