%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n027.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 0.18s 0.48s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : KRS166+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n027.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Tue Jun 7 19:36:55 EDT 2022 % 0.11/0.32 % CPUTime : % 0.18/0.48 (* PROOF-FOUND *) % 0.18/0.48 % SZS status Theorem % 0.18/0.48 (* BEGIN-PROOF *) % 0.18/0.48 % SZS output start Proof % 0.18/0.48 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, ((cCar X)<->(cAutomobile X))))). % 0.18/0.48 Proof. % 0.18/0.48 apply NNPP. intro zenon_G. % 0.18/0.48 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H6 | zenon_intro zenon_H5 ]. % 0.18/0.48 exact (zenon_H6 axiom_0). % 0.18/0.48 apply (zenon_notand_s _ _ zenon_H5); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.18/0.48 exact (zenon_H8 axiom_1). % 0.18/0.48 apply (zenon_notallex_s (fun X : zenon_U => ((cCar X)<->(cAutomobile X))) zenon_H7); [ zenon_intro zenon_H9; idtac ]. % 0.18/0.48 elim zenon_H9. zenon_intro zenon_TX_k. zenon_intro zenon_Hb. % 0.18/0.48 apply (zenon_notequiv_s _ _ zenon_Hb); [ zenon_intro zenon_Hf; zenon_intro zenon_He | zenon_intro zenon_Hd; zenon_intro zenon_Hc ]. % 0.18/0.48 generalize (axiom_2 zenon_TX_k). zenon_intro zenon_H10. % 0.18/0.48 apply (zenon_imply_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_Hd ]. % 0.18/0.48 exact (zenon_Hc zenon_He). % 0.18/0.48 exact (zenon_Hf zenon_Hd). % 0.18/0.48 generalize (axiom_3 zenon_TX_k). zenon_intro zenon_H11. % 0.18/0.48 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.18/0.48 exact (zenon_Hf zenon_Hd). % 0.18/0.48 exact (zenon_Hc zenon_He). % 0.18/0.48 Qed. % 0.18/0.48 % SZS output end Proof % 0.18/0.48 (* END-PROOF *) % 0.18/0.48 nodes searched: 37 % 0.18/0.48 max branch formulas: 19 % 0.18/0.48 proof nodes created: 19 % 0.18/0.48 formulas created: 162 % 0.18/0.48 %------------------------------------------------------------------------------