%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 0.19s 0.51s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n028.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 Jun 7 13:54:00 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.51 (* PROOF-FOUND *) % 0.19/0.51 % SZS status Theorem % 0.19/0.51 (* BEGIN-PROOF *) % 0.19/0.51 % SZS output start Proof % 0.19/0.51 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)->((exists Y0 : zenon_U, (exists Y1 : zenon_U, ((rp X Y0)/\((rp X Y1)/\(~(Y0 = Y1))))))/\(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)))))))))))). % 0.19/0.51 Proof. % 0.19/0.51 apply NNPP. intro zenon_G. % 0.19/0.51 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.19/0.51 exact (zenon_Hc axiom_0). % 0.19/0.51 apply (zenon_notand_s _ _ zenon_Hb); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.19/0.51 exact (zenon_He axiom_1). % 0.19/0.51 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))))))/\(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_Hd); [ zenon_intro zenon_Hf; idtac ]. % 0.19/0.51 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11. % 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.19/0.51 apply (zenon_notand_s _ _ zenon_H12); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.19/0.51 generalize (axiom_2 zenon_TX_q). zenon_intro zenon_H16. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.19/0.51 exact (zenon_H18 zenon_H13). % 0.19/0.51 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.19/0.51 exact (zenon_H15 zenon_H19). % 0.19/0.51 generalize (axiom_2 zenon_TX_q). zenon_intro zenon_H16. % 0.19/0.51 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ]. % 0.19/0.51 exact (zenon_H18 zenon_H13). % 0.19/0.51 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.19/0.51 exact (zenon_H14 zenon_H1a). % 0.19/0.51 Qed. % 0.19/0.51 % SZS output end Proof % 0.19/0.51 (* END-PROOF *) % 0.19/0.51 nodes searched: 222 % 0.19/0.51 max branch formulas: 145 % 0.19/0.51 proof nodes created: 26 % 0.19/0.51 formulas created: 1268 % 0.19/0.51 %------------------------------------------------------------------------------