%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL850-1 : 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 : n009.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 12:29:31 PM UTC 2026 % Result : Unsatisfiable 270.52s 36.58s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL850-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.07/0.34 % Computer : n009.cluster.edu % 0.07/0.34 % Model : x86_64 x86_64 % 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.34 % Memory : 8046.5625MB % 0.07/0.34 % OS : Linux 6.8.0-71-generic % 0.07/0.34 % CPULimit : 300 % 0.07/0.34 % WCLimit : 300 % 0.07/0.34 % DateTime : Fri Sep 4 17:58:21 UTC 2026 % 0.07/0.34 % CPUTime : % 270.52/36.58 % SZS status Unsatisfiable % 270.52/36.58 % SZS output begin IncompleteProof % 270.52/36.58 cnf(c0, axiom, % 270.52/36.58 ~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____))). % 270.52/36.58 cnf(c1, plain, % 270.52/36.58 ~c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)), % 270.52/36.58 inference(start, [], [c0])). % 270.52/36.58 % 270.52/36.58 cnf(c2, axiom, % 270.52/36.58 c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1))). % 270.52/36.58 cnf(a0, assumption, % 270.52/36.58 X2 = c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype)). % 270.52/36.58 cnf(a1, assumption, % 270.52/36.58 X3 = c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))). % 270.52/36.58 cnf(a2, assumption, % 270.52/36.58 X4 = c_Type_Otype_OFun(v_Ta____,v_U____)). % 270.52/36.58 cnf(c3, plain, % 270.52/36.58 $false, % 270.52/36.58 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 270.52/36.58 cnf(c4, plain, % 270.52/36.58 $false, % 270.52/36.58 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 270.52/36.58 cnf(c5, plain, % 270.52/36.58 X0 != X2 | c_Lambda_OdB_OVar(X1) != X3 | hAPP(X0,X1) != X4, % 270.52/36.58 inference(lazy_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 270.52/36.58 % 270.52/36.58 cnf(a3, assumption, % 270.52/36.58 X0 = X2). % 270.52/36.58 cnf(c6, plain, % 270.52/36.58 c_Lambda_OdB_OVar(X1) != X3 | hAPP(X0,X1) != X4, % 270.52/36.58 inference(reflexivity, [assumptions([a3])], [c5])). % 270.52/36.58 % 270.52/36.58 cnf(a4, assumption, % 270.52/36.58 c_Lambda_OdB_OVar(X1) = X3). % 270.52/36.58 cnf(c7, plain, % 270.52/36.58 hAPP(X0,X1) != X4, % 270.52/36.58 inference(reflexivity, [assumptions([a4])], [c6])). % 270.52/36.58 % 270.52/36.58 cnf(c8, axiom, % 270.52/36.58 hAPP(c_Type_Oshift(X5,X6,X7,X8),X6) = X7). % 270.52/36.58 cnf(a5, assumption, % 270.52/36.58 hAPP(X0,X1) = hAPP(c_Type_Oshift(X5,X6,X7,X8),X6)). % 270.52/36.58 cnf(c9, plain, % 270.52/36.58 $false, % 270.52/36.58 inference(strict_function_extension, [assumptions([a5])], [c7, c8])). % 270.52/36.58 cnf(c10, plain, % 270.52/36.58 $false, % 270.52/36.58 inference(strict_function_extension, [assumptions([a5])], [c7, c8])). % 270.52/36.58 cnf(c11, plain, % 270.52/36.58 X9 != X7 | X9 != X4, % 270.52/36.58 inference(strict_function_extension, [assumptions([a5])], [c7, c8])). % 270.52/36.58 % 270.52/36.58 cnf(a6, assumption, % 270.52/36.58 X9 = X7). % 270.52/36.58 cnf(c12, plain, % 270.52/36.58 X9 != X4, % 270.52/36.58 inference(reflexivity, [assumptions([a6])], [c11])). % 270.52/36.58 % 270.52/36.58 cnf(a7, assumption, % 270.52/36.58 X9 = X4). % 270.52/36.58 cnf(c13, plain, % 270.52/36.58 $false, % 270.52/36.58 inference(reflexivity, [assumptions([a7])], [c12])). % 270.52/36.58 % 270.52/36.58 cnf(c14, plain, % 270.52/36.58 $false, % 270.52/36.58 inference(constraint_solving, [ % 270.52/36.58 bind(X0, c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype)), % 270.52/36.59 bind(X1, c_HOL_Ozero__class_Ozero(tc_nat)), % 270.52/36.59 bind(X2, c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype)), % 270.52/36.59 bind(X3, c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))), % 270.52/36.59 bind(X4, c_Type_Otype_OFun(v_Ta____,v_U____)), % 270.52/36.59 bind(X5, v_ea____), % 270.52/36.59 bind(X6, c_HOL_Ozero__class_Ozero(tc_nat)), % 270.52/36.59 bind(X7, c_Type_Otype_OFun(v_Ta____,v_U____)), % 270.52/36.59 bind(X8, tc_Type_Otype), % 270.52/36.59 bind(X9, c_Type_Otype_OFun(v_Ta____,v_U____)) % 270.52/36.59 ], % 270.52/36.59 [a0, a1, a2, a3, a4, a5, a6, a7])). % 270.52/36.59 % 270.52/36.59 % SZS output end IncompleteProof %------------------------------------------------------------------------------