%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL816-1 : 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 12:29:27 PM UTC 2026 % Result : Unsatisfiable 0.13s 0.41s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL816-1 : TPTP v9.3.1. Released v4.1.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n009.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Sat Sep 5 10:46:06 UTC 2026 % 0.09/0.35 % CPUTime : % 0.13/0.41 % SZS status Unsatisfiable % 0.13/0.41 % SZS output begin IncompleteProof % 0.13/0.41 cnf(c0, axiom, % 0.13/0.41 ~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)). % 0.13/0.41 cnf(c1, plain, % 0.13/0.41 ~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____), % 0.13/0.41 inference(start, [], [c0])). % 0.13/0.41 % 0.13/0.41 cnf(c2, axiom, % 0.13/0.41 ~c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X2,X3,tc_Type_Otype,tc_Type_Otype)) | ~c_Type_Otypings(X0,X4,X2) | c_Type_Otyping(X0,c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(X4,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X3)). % 0.13/0.41 cnf(a0, assumption, % 0.13/0.41 c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype) = X0). % 0.13/0.41 cnf(a1, assumption, % 0.13/0.41 c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldr(c_COMBC(c_Lambda_OdB_OApp,tc_Lambda_OdB,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Orev(X4,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB)). % 0.13/0.41 cnf(a2, assumption, % 0.13/0.41 v_T_H____ = X3). % 0.13/0.41 cnf(c3, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.41 cnf(c4, plain, % 0.13/0.41 ~c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X2,X3,tc_Type_Otype,tc_Type_Otype)) | ~c_Type_Otypings(X0,X4,X2), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.41 % 0.13/0.41 cnf(c5, axiom, % 0.13/0.41 c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))). % 0.13/0.41 cnf(a3, assumption, % 0.13/0.41 X0 = c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype)). % 0.13/0.41 cnf(a4, assumption, % 0.13/0.41 X1 = c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))). % 0.13/0.41 cnf(a5, assumption, % 0.13/0.41 c_List_Ofoldr(c_Type_Otype_OFun,X2,X3,tc_Type_Otype,tc_Type_Otype) = c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)). % 0.13/0.41 cnf(c6, plain, % 0.13/0.41 ~c_Type_Otypings(X0,X4,X2), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.41 cnf(c7, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.41 % 0.13/0.41 cnf(c8, axiom, % 0.13/0.41 c_Type_Otypings(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),v_Ts____)). % 0.13/0.41 cnf(a6, assumption, % 0.13/0.41 X0 = c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype)). % 0.13/0.41 cnf(a7, assumption, % 0.13/0.41 X4 = c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)). % 0.13/0.41 cnf(a8, assumption, % 0.13/0.41 X2 = v_Ts____). % 0.13/0.41 cnf(c9, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.13/0.41 cnf(c10, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.13/0.41 % 0.13/0.41 cnf(c11, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(constraint_solving, [ % 0.13/0.41 bind(X0, c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype)), % 0.13/0.41 bind(X1, c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))), % 0.13/0.41 bind(X2, v_Ts____), % 0.13/0.41 bind(X3, v_T_H____), % 0.13/0.41 bind(X4, c_List_Omap(hAPP(c_COMBC(c_Lambda_Olift,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(hAPP(c_COMBC(hAPP(c_COMBC(c_Lambda_Osubst,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_u____),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_i____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)) % 0.13/0.41 ], % 0.13/0.41 [a0, a1, a2, a3, a4, a5, a6, a7, a8])). % 0.13/0.41 % 0.13/0.41 % SZS output end IncompleteProof %------------------------------------------------------------------------------