%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : KRS170+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n022.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 15:04:05 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 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, (forall Y : zenon_U, ((rhasLeader X Y)->(rhasHead X Y))))/\(forall X : zenon_U, (forall Y : zenon_U, ((rhasHead X Y)->(rhasLeader X Y))))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H5 | zenon_intro zenon_H4 ]. % 0.19/0.50 exact (zenon_H5 axiom_0). % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H4); [ zenon_intro zenon_H7 | zenon_intro zenon_H6 ]. % 0.19/0.50 exact (zenon_H7 axiom_1). % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H6); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.19/0.50 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((rhasLeader X Y)->(rhasHead X Y)))) zenon_H9); [ zenon_intro zenon_Ha; idtac ]. % 0.19/0.50 elim zenon_Ha. zenon_intro zenon_TX_l. zenon_intro zenon_Hc. % 0.19/0.50 apply (zenon_notallex_s (fun Y : zenon_U => ((rhasLeader zenon_TX_l Y)->(rhasHead zenon_TX_l Y))) zenon_Hc); [ zenon_intro zenon_Hd; idtac ]. % 0.19/0.50 elim zenon_Hd. zenon_intro zenon_TY_o. zenon_intro zenon_Hf. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_Hf). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.19/0.50 generalize (axiom_2 zenon_TX_l). zenon_intro zenon_H12. % 0.19/0.50 generalize (zenon_H12 zenon_TY_o). zenon_intro zenon_H13. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H13); [ zenon_intro zenon_H15; zenon_intro zenon_H10 | zenon_intro zenon_H11; zenon_intro zenon_H14 ]. % 0.19/0.50 exact (zenon_H15 zenon_H11). % 0.19/0.50 exact (zenon_H10 zenon_H14). % 0.19/0.50 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((rhasHead X Y)->(rhasLeader X Y)))) zenon_H8); [ zenon_intro zenon_H16; idtac ]. % 0.19/0.50 elim zenon_H16. zenon_intro zenon_TX_x. zenon_intro zenon_H18. % 0.19/0.50 apply (zenon_notallex_s (fun Y : zenon_U => ((rhasHead zenon_TX_x Y)->(rhasLeader zenon_TX_x Y))) zenon_H18); [ zenon_intro zenon_H19; idtac ]. % 0.19/0.50 elim zenon_H19. zenon_intro zenon_TY_ba. zenon_intro zenon_H1b. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H1b). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.19/0.50 generalize (axiom_2 zenon_TX_x). zenon_intro zenon_H1e. % 0.19/0.50 generalize (zenon_H1e zenon_TY_ba). zenon_intro zenon_H1f. % 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H1f); [ zenon_intro zenon_H1c; zenon_intro zenon_H21 | zenon_intro zenon_H20; zenon_intro zenon_H1d ]. % 0.19/0.50 exact (zenon_H21 zenon_H1d). % 0.19/0.50 exact (zenon_H1c zenon_H20). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 22 % 0.19/0.50 max branch formulas: 10 % 0.19/0.50 proof nodes created: 19 % 0.19/0.50 formulas created: 190 % 0.19/0.50 %------------------------------------------------------------------------------