%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS163+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 03:39:39 EDT 2022 % Result : Theorem 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : KRS163+1 : TPTP v8.1.0. Released v3.1.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n020.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jun 7 16:32:36 EDT 2022 % 0.13/0.36 % CPUTime : % 0.21/0.53 (* PROOF-FOUND *) % 0.21/0.53 % SZS status Theorem % 0.21/0.53 (* BEGIN-PROOF *) % 0.21/0.53 % SZS output start Proof % 0.21/0.53 Theorem the_axiom : ((forall X : zenon_U, ((cowlThing X)/\(~(cowlNothing X))))/\((forall X : zenon_U, ((xsd_string X)<->(~(xsd_integer X))))/\((cowlThing (ia))/\((cowlThing (ib))/\(~((ia) = (ib))))))). % 0.21/0.53 Proof. % 0.21/0.53 apply NNPP. intro zenon_G. % 0.21/0.53 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.21/0.53 exact (zenon_Hf axiom_0). % 0.21/0.53 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.21/0.53 exact (zenon_H11 axiom_1). % 0.21/0.53 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.21/0.53 exact (zenon_H13 axiom_3). % 0.21/0.53 apply (zenon_notand_s _ _ zenon_H12); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.21/0.53 exact (zenon_H15 axiom_5). % 0.21/0.53 apply zenon_H14. zenon_intro zenon_H16. % 0.21/0.53 generalize (axiom_6 (ib)). zenon_intro zenon_H17. % 0.21/0.53 apply (zenon_notand_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.21/0.53 exact (zenon_H19 axiom_4). % 0.21/0.53 generalize (cA_substitution_1 (ia)). zenon_intro zenon_H1a. % 0.21/0.53 generalize (zenon_H1a (ib)). zenon_intro zenon_H1b. % 0.21/0.53 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.21/0.53 apply (zenon_notand_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ]. % 0.21/0.53 exact (zenon_H1f zenon_H16). % 0.21/0.53 exact (zenon_H1e axiom_2). % 0.21/0.53 exact (zenon_H18 zenon_H1c). % 0.21/0.53 Qed. % 0.21/0.53 % SZS output end Proof % 0.21/0.53 (* END-PROOF *) % 0.21/0.53 nodes searched: 75 % 0.21/0.53 max branch formulas: 64 % 0.21/0.53 proof nodes created: 22 % 0.21/0.53 formulas created: 462 % 0.21/0.53 %------------------------------------------------------------------------------