%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS169+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 03:39:40 EDT 2022 % Result : Theorem 0.22s 0.53s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : KRS169+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.14 % Command : run_zenon %s %d % 0.15/0.35 % Computer : n020.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Tue Jun 7 13:20:06 EDT 2022 % 0.15/0.36 % CPUTime : % 0.22/0.53 (* PROOF-FOUND *) % 0.22/0.53 % SZS status Theorem % 0.22/0.53 (* BEGIN-PROOF *) % 0.22/0.53 % SZS output start Proof % 0.22/0.53 Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((cowlThing (iX))/\((rhasHead (iX) (iY))/\(cowlThing (iY)))))). % 0.22/0.53 Proof. % 0.22/0.53 apply NNPP. intro zenon_G. % 0.22/0.53 generalize (axiom_5 (iX)). zenon_intro zenon_H7. % 0.22/0.53 generalize (zenon_H7 (iY)). zenon_intro zenon_H8. % 0.22/0.53 apply (zenon_equiv_s _ _ zenon_H8); [ zenon_intro zenon_Hb; zenon_intro zenon_Ha | zenon_intro axiom_3; zenon_intro zenon_H9 ]. % 0.22/0.53 exact (zenon_Hb axiom_3). % 0.22/0.53 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ]. % 0.22/0.53 exact (zenon_Hd axiom_0). % 0.22/0.53 apply (zenon_notand_s _ _ zenon_Hc); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.22/0.53 exact (zenon_Hf axiom_1). % 0.22/0.53 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.22/0.53 exact (zenon_H11 axiom_2). % 0.22/0.53 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_Ha | zenon_intro zenon_H12 ]. % 0.22/0.53 exact (zenon_Ha zenon_H9). % 0.22/0.53 exact (zenon_H12 axiom_4). % 0.22/0.53 Qed. % 0.22/0.53 % SZS output end Proof % 0.22/0.53 (* END-PROOF *) % 0.22/0.53 nodes searched: 16 % 0.22/0.53 max branch formulas: 13 % 0.22/0.53 proof nodes created: 13 % 0.22/0.53 formulas created: 139 % 0.22/0.53 %------------------------------------------------------------------------------