%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS171+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 03:39:40 EDT 2022 % Result : Theorem 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS171+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.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 17:01:16 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.48 (* PROOF-FOUND *) % 0.19/0.48 % SZS status Theorem % 0.19/0.48 (* BEGIN-PROOF *) % 0.19/0.48 % SZS output start Proof % 0.19/0.48 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, (forall Y : zenon_U, ((rhasLeader X Y)<->(rhasHead X Y)))))). % 0.19/0.48 Proof. % 0.19/0.48 apply NNPP. intro zenon_G. % 0.19/0.48 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H6 | zenon_intro zenon_H5 ]. % 0.19/0.48 exact (zenon_H6 axiom_0). % 0.19/0.48 apply (zenon_notand_s _ _ zenon_H5); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.19/0.48 exact (zenon_H8 axiom_1). % 0.19/0.48 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((rhasLeader X Y)<->(rhasHead X Y)))) zenon_H7); [ zenon_intro zenon_H9; idtac ]. % 0.19/0.48 elim zenon_H9. zenon_intro zenon_TX_k. zenon_intro zenon_Hb. % 0.19/0.48 apply (zenon_notallex_s (fun Y : zenon_U => ((rhasLeader zenon_TX_k Y)<->(rhasHead zenon_TX_k Y))) zenon_Hb); [ zenon_intro zenon_Hc; idtac ]. % 0.19/0.48 elim zenon_Hc. zenon_intro zenon_TY_n. zenon_intro zenon_He. % 0.19/0.48 apply (zenon_notequiv_s _ _ zenon_He); [ zenon_intro zenon_H12; zenon_intro zenon_H11 | zenon_intro zenon_H10; zenon_intro zenon_Hf ]. % 0.19/0.48 generalize (axiom_2 zenon_TX_k). zenon_intro zenon_H13. % 0.19/0.48 generalize (zenon_H13 zenon_TY_n). zenon_intro zenon_H14. % 0.19/0.48 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_Hf | zenon_intro zenon_H10 ]. % 0.19/0.48 exact (zenon_Hf zenon_H11). % 0.19/0.48 exact (zenon_H12 zenon_H10). % 0.19/0.48 generalize (axiom_3 zenon_TX_k). zenon_intro zenon_H15. % 0.19/0.48 generalize (zenon_H15 zenon_TY_n). zenon_intro zenon_H16. % 0.19/0.48 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.19/0.48 exact (zenon_H12 zenon_H10). % 0.19/0.48 exact (zenon_Hf zenon_H11). % 0.19/0.48 Qed. % 0.19/0.48 % SZS output end Proof % 0.19/0.48 (* END-PROOF *) % 0.19/0.48 nodes searched: 69 % 0.19/0.48 max branch formulas: 33 % 0.19/0.48 proof nodes created: 24 % 0.19/0.48 formulas created: 248 % 0.19/0.48 %------------------------------------------------------------------------------