%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS143+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS143+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n026.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 05:37:31 EDT 2022 % 0.12/0.34 % 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 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, (rp X Y0))/\(forall Y0 : zenon_U, (forall Y1 : zenon_U, (((rp X Y0)/\(rp X Y1))->(Y0 = Y1))))))))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ]. % 0.19/0.49 exact (zenon_Hd axiom_0). % 0.19/0.49 apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.19/0.49 exact (zenon_Hf axiom_1). % 0.19/0.49 apply (zenon_notallex_s (fun X : zenon_U => ((cc X)->((exists Y0 : zenon_U, (rp X Y0))/\(forall Y0 : zenon_U, (forall Y1 : zenon_U, (((rp X Y0)/\(rp X Y1))->(Y0 = Y1))))))) zenon_He); [ zenon_intro zenon_H10; idtac ]. % 0.19/0.49 elim zenon_H10. zenon_intro zenon_TX_r. zenon_intro zenon_H12. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.19/0.49 apply (zenon_notand_s _ _ zenon_H13); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 0.19/0.49 generalize (axiom_2 zenon_TX_r). zenon_intro zenon_H17. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.19/0.49 exact (zenon_H19 zenon_H14). % 0.19/0.49 exact (zenon_H16 zenon_H18). % 0.19/0.49 generalize (axiom_3 zenon_TX_r). zenon_intro zenon_H1a. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H19 | zenon_intro zenon_H1b ]. % 0.19/0.49 exact (zenon_H19 zenon_H14). % 0.19/0.49 exact (zenon_H15 zenon_H1b). % 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: 165 % 0.19/0.49 max branch formulas: 104 % 0.19/0.49 proof nodes created: 24 % 0.19/0.49 formulas created: 850 % 0.19/0.49 %------------------------------------------------------------------------------