%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 : Sun Jul 17 03:39:35 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : KRS144+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n023.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 : Tue Jun 7 11:15:08 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((forall X : zenon_U, ((cc X)->(forall Y0 : zenon_U, (forall Y1 : zenon_U, (forall Y2 : zenon_U, (((rp X Y0)/\((rp X Y1)/\(rp X Y2)))->((Y0 = Y1)\/((Y0 = Y2)\/(Y1 = Y2)))))))))/\(forall X : zenon_U, ((cc X)->(exists Y0 : zenon_U, (exists Y1 : zenon_U, ((rp X Y0)/\((rp X Y1)/\(~(Y0 = Y1))))))))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.18/0.49 exact (zenon_Hc axiom_0). % 0.18/0.49 apply (zenon_notand_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.18/0.49 exact (zenon_He axiom_1). % 0.18/0.49 apply (zenon_notand_s _ _ zenon_Hd); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ]. % 0.18/0.49 apply (zenon_notallex_s (fun X : zenon_U => ((cc X)->(forall Y0 : zenon_U, (forall Y1 : zenon_U, (forall Y2 : zenon_U, (((rp X Y0)/\((rp X Y1)/\(rp X Y2)))->((Y0 = Y1)\/((Y0 = Y2)\/(Y1 = Y2))))))))) zenon_H10); [ zenon_intro zenon_H11; idtac ]. % 0.18/0.49 elim zenon_H11. zenon_intro zenon_TX_s. zenon_intro zenon_H13. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.18/0.49 generalize (axiom_2 zenon_TX_s). zenon_intro zenon_H16. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.18/0.49 exact (zenon_H18 zenon_H15). % 0.18/0.49 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.18/0.49 exact (zenon_H14 zenon_H19). % 0.18/0.49 apply (zenon_notallex_s (fun X : zenon_U => ((cc X)->(exists Y0 : zenon_U, (exists Y1 : zenon_U, ((rp X Y0)/\((rp X Y1)/\(~(Y0 = Y1)))))))) zenon_Hf); [ zenon_intro zenon_H1b; idtac ]. % 0.18/0.49 elim zenon_H1b. zenon_intro zenon_TX_bc. zenon_intro zenon_H1d. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H1d). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.18/0.49 generalize (axiom_2 zenon_TX_bc). zenon_intro zenon_H20. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.18/0.49 exact (zenon_H22 zenon_H1f). % 0.18/0.49 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.18/0.49 exact (zenon_H1e zenon_H24). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 227 % 0.18/0.49 max branch formulas: 149 % 0.18/0.49 proof nodes created: 27 % 0.18/0.49 formulas created: 1365 % 0.18/0.49 %------------------------------------------------------------------------------