%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS168+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 % 0.07/0.11 % Problem : KRS168+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n021.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jun 7 19:45:21 EDT 2022 % 0.12/0.33 % 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, (((~(cB X))/\(~(cA X)))<->(~((cA X)\/(cB 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_H4 | zenon_intro zenon_H3 ]. % 0.18/0.48 exact (zenon_H4 axiom_0). % 0.18/0.48 apply (zenon_notand_s _ _ zenon_H3); [ zenon_intro zenon_H6 | zenon_intro zenon_H5 ]. % 0.18/0.48 exact (zenon_H6 axiom_1). % 0.18/0.48 apply (zenon_notallex_s (fun X : zenon_U => (((~(cB X))/\(~(cA X)))<->(~((cA X)\/(cB X))))) zenon_H5); [ zenon_intro zenon_H7; idtac ]. % 0.18/0.48 elim zenon_H7. zenon_intro zenon_TX_i. zenon_intro zenon_H9. % 0.18/0.48 apply (zenon_notequiv_s _ _ zenon_H9); [ zenon_intro zenon_Hd; zenon_intro zenon_Hc | zenon_intro zenon_Hb; zenon_intro zenon_Ha ]. % 0.18/0.48 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.18/0.48 apply (zenon_notand_s _ _ zenon_Hd); [ zenon_intro zenon_H11 | zenon_intro zenon_H10 ]. % 0.18/0.48 exact (zenon_H11 zenon_He). % 0.18/0.48 exact (zenon_H10 zenon_Hf). % 0.18/0.48 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hf. % 0.18/0.48 apply zenon_Ha. zenon_intro zenon_H12. % 0.18/0.48 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.18/0.48 exact (zenon_Hf zenon_H14). % 0.18/0.48 exact (zenon_He zenon_H13). % 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: 26 % 0.18/0.48 max branch formulas: 11 % 0.18/0.48 proof nodes created: 22 % 0.18/0.48 formulas created: 135 % 0.18/0.48 %------------------------------------------------------------------------------