%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n012.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:29:32 PM UTC 2026 % Result : Unsatisfiable 0.02s 0.31s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL852-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.02 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.02/0.28 % Computer : n012.cluster.edu % 0.02/0.28 % Model : x86_64 x86_64 % 0.02/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.02/0.28 % Memory : 8046.5625MB % 0.02/0.28 % OS : Linux 6.8.0-71-generic % 0.02/0.28 % CPULimit : 300 % 0.02/0.28 % WCLimit : 300 % 0.02/0.28 % DateTime : Fri Sep 4 22:09:57 UTC 2026 % 0.02/0.28 % CPUTime : % 0.02/0.31 % SZS status Unsatisfiable % 0.02/0.31 % SZS output begin IncompleteProof % 0.02/0.31 cnf(c0, axiom, % 0.02/0.31 ~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____)). % 0.02/0.31 cnf(c1, plain, % 0.02/0.31 ~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))),v_U____), % 0.02/0.31 inference(start, [], [c0])). % 0.02/0.31 % 0.02/0.31 cnf(c2, axiom, % 0.02/0.31 ~c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3)) | ~c_Type_Otyping(X0,X4,X2) | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4),X3)). % 0.02/0.31 cnf(a0, assumption, % 0.02/0.31 c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype) = X0). % 0.02/0.31 cnf(a1, assumption, % 0.02/0.31 hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))) = hAPP(hAPP(c_Lambda_OdB_OApp,X1),X4)). % 0.02/0.31 cnf(a2, assumption, % 0.02/0.31 v_U____ = X3). % 0.02/0.31 cnf(c3, plain, % 0.02/0.31 $false, % 0.02/0.31 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.02/0.31 cnf(c4, plain, % 0.02/0.31 ~c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3)) | ~c_Type_Otyping(X0,X4,X2), % 0.02/0.31 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.02/0.31 % 0.02/0.31 cnf(c5, axiom, % 0.02/0.31 c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____))). % 0.02/0.31 cnf(a3, assumption, % 0.02/0.31 X0 = c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype)). % 0.02/0.31 cnf(a4, assumption, % 0.02/0.31 X1 = c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))). % 0.02/0.31 cnf(a5, assumption, % 0.02/0.31 hAPP(hAPP(c_Type_Otype_OFun,X2),X3) = hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____)). % 0.02/0.31 cnf(c6, plain, % 0.02/0.31 ~c_Type_Otyping(X0,X4,X2), % 0.02/0.31 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.02/0.31 cnf(c7, plain, % 0.02/0.31 $false, % 0.02/0.31 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.02/0.31 % 0.02/0.31 cnf(c8, axiom, % 0.02/0.31 c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype),c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat)),v_Ta____)). % 0.02/0.31 cnf(a6, assumption, % 0.02/0.31 X0 = c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype)). % 0.02/0.31 cnf(a7, assumption, % 0.02/0.31 X4 = c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))). % 0.02/0.31 cnf(a8, assumption, % 0.02/0.31 X2 = v_Ta____). % 0.02/0.31 cnf(c9, plain, % 0.02/0.31 $false, % 0.02/0.31 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.02/0.31 cnf(c10, plain, % 0.02/0.31 $false, % 0.02/0.31 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.02/0.31 % 0.02/0.31 cnf(c11, plain, % 0.02/0.31 $false, % 0.02/0.31 inference(constraint_solving, [ % 0.02/0.31 bind(X0, c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_Type_Otype_OFun,v_Ta____),v_U____),tc_Type_Otype)), % 0.02/0.31 bind(X1, c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))), % 0.02/0.31 bind(X2, v_Ta____), % 0.02/0.31 bind(X3, v_U____), % 0.02/0.31 bind(X4, c_Lambda_Olift(v_ta____,c_HOL_Ozero__class_Ozero(tc_nat))) % 0.02/0.31 ], % 0.02/0.31 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.02/0.31 % 0.02/0.31 % SZS output end IncompleteProof %------------------------------------------------------------------------------