%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL788-1 : 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 : n015.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 12:29:23 PM UTC 2026 % Result : Unsatisfiable 39.33s 5.77s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL788-1 : 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 % 0.10/0.36 % Computer : n015.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sun Sep 6 00:20:13 UTC 2026 % 0.10/0.37 % CPUTime : % 39.33/5.77 % SZS status Unsatisfiable % 39.33/5.77 % SZS output begin IncompleteProof % 39.33/5.77 cnf(c0, axiom, % 39.33/5.77 v_T____ != hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))). % 39.33/5.77 cnf(c1, plain, % 39.33/5.77 v_T____ != hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)), % 39.33/5.77 inference(start, [], [c0])). % 39.33/5.77 % 39.33/5.77 cnf(c2, axiom, % 39.33/5.77 ~c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2). % 39.33/5.77 cnf(a0, assumption, % 39.33/5.77 hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) = X2). % 39.33/5.77 cnf(c3, plain, % 39.33/5.77 $false, % 39.33/5.77 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 39.33/5.77 cnf(c4, plain, % 39.33/5.77 ~c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2), % 39.33/5.77 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 39.33/5.77 cnf(c5, plain, % 39.33/5.77 hAPP(X0,X1) != X3 | v_T____ != X3, % 39.33/5.77 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 39.33/5.77 % 39.33/5.77 cnf(c6, axiom, % 39.33/5.77 hAPP(c_Type_Oshift(X4,X5,X6,X7),X5) = X6). % 39.33/5.77 cnf(a1, assumption, % 39.33/5.77 hAPP(X0,X1) = hAPP(c_Type_Oshift(X4,X5,X6,X7),X5)). % 39.33/5.77 cnf(c7, plain, % 39.33/5.77 v_T____ != X3, % 39.33/5.77 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 39.33/5.77 cnf(c8, plain, % 39.33/5.77 $false, % 39.33/5.77 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 39.33/5.77 cnf(c9, plain, % 39.33/5.77 X8 != X6 | X8 != X3, % 39.33/5.77 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 39.33/5.77 % 39.33/5.77 cnf(a2, assumption, % 39.33/5.77 X8 = X6). % 39.33/5.77 cnf(c10, plain, % 39.33/5.77 X8 != X3, % 39.33/5.77 inference(reflexivity, [assumptions([a2])], [c9])). % 39.33/5.77 % 39.33/5.77 cnf(a3, assumption, % 39.33/5.77 X8 = X3). % 39.33/5.77 cnf(c11, plain, % 39.33/5.77 $false, % 39.33/5.77 inference(reflexivity, [assumptions([a3])], [c10])). % 39.33/5.77 % 39.33/5.77 cnf(a4, assumption, % 39.33/5.77 v_T____ = X3). % 39.33/5.77 cnf(c12, plain, % 39.33/5.77 $false, % 39.33/5.77 inference(reflexivity, [assumptions([a4])], [c7])). % 39.33/5.77 % 39.33/5.77 cnf(c13, axiom, % 39.33/5.77 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))). % 39.33/5.77 cnf(a5, assumption, % 39.33/5.77 X0 = c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)). % 39.33/5.77 cnf(a6, assumption, % 39.33/5.77 c_Lambda_OdB_OVar(X1) = c_Lambda_OdB_OVar(v_i____)). % 39.33/5.77 cnf(a7, assumption, % 39.33/5.77 X2 = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))). % 39.33/5.77 cnf(c14, plain, % 39.33/5.77 $false, % 39.33/5.77 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c4, c13])). % 39.33/5.77 cnf(c15, plain, % 39.33/5.77 $false, % 39.33/5.77 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c4, c13])). % 39.33/5.77 % 39.33/5.77 cnf(c16, plain, % 39.33/5.77 $false, % 39.33/5.77 inference(constraint_solving, [ % 39.33/5.77 bind(X0, c_Type_Oshift(X4,X5,X6,X7)), % 39.33/5.77 bind(X1, v_i____), % 39.33/5.77 bind(X2, hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), % 39.33/5.77 bind(X3, v_T____), % 39.33/5.77 bind(X4, v_e____), % 39.33/5.77 bind(X5, v_i____), % 39.33/5.77 bind(X6, v_T____), % 39.33/5.77 bind(X7, tc_Type_Otype), % 39.33/5.77 bind(X8, v_T____) % 39.33/5.77 ], % 39.33/5.77 [a0, a1, a2, a3, a4, a5, a6, a7])). % 39.33/5.77 % 39.33/5.77 % SZS output end IncompleteProof %------------------------------------------------------------------------------