%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 : Tue Jul 19 06:33:02 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET044+1 : TPTP v8.1.0. Released v2.0.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 05:33:28 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem pel40 : ((exists Y : zenon_U, (forall X : zenon_U, ((element X Y)<->(element X X))))->(~(forall X1 : zenon_U, (exists Y1 : zenon_U, (forall Z : zenon_U, ((element Z Y1)<->(~(element Z X1)))))))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.19/0.49 elim zenon_H2. zenon_intro zenon_TY_d. zenon_intro zenon_H4. % 0.19/0.49 apply zenon_H1. zenon_intro zenon_H5. % 0.19/0.49 generalize (zenon_H5 zenon_TY_d). zenon_intro zenon_H6. % 0.19/0.49 elim zenon_H6. zenon_intro zenon_TY1_h. zenon_intro zenon_H8. % 0.19/0.49 generalize (zenon_H4 zenon_TY1_h). zenon_intro zenon_H9. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_H9); [ zenon_intro zenon_Hd; zenon_intro zenon_Hc | zenon_intro zenon_Hb; zenon_intro zenon_Ha ]. % 0.19/0.49 generalize (zenon_H8 zenon_TY1_h). zenon_intro zenon_He. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_He); [ zenon_intro zenon_Hc; zenon_intro zenon_Hf | zenon_intro zenon_Ha; zenon_intro zenon_Hd ]. % 0.19/0.49 exact (zenon_Hf zenon_Hd). % 0.19/0.49 exact (zenon_Hc zenon_Ha). % 0.19/0.49 generalize (zenon_H8 zenon_TY1_h). zenon_intro zenon_He. % 0.19/0.49 apply (zenon_equiv_s _ _ zenon_He); [ zenon_intro zenon_Hc; zenon_intro zenon_Hf | zenon_intro zenon_Ha; zenon_intro zenon_Hd ]. % 0.19/0.49 exact (zenon_Hc zenon_Ha). % 0.19/0.49 exact (zenon_Hd zenon_Hb). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 97 % 0.19/0.49 max branch formulas: 58 % 0.19/0.49 proof nodes created: 29 % 0.19/0.49 formulas created: 404 % 0.19/0.49 %------------------------------------------------------------------------------