%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL785-1 : 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 12:29:22 PM UTC 2026 % Result : Unsatisfiable 20.21s 3.25s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL785-1 : 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 % 0.03/0.29 % Computer : n012.cluster.edu % 0.03/0.29 % Model : x86_64 x86_64 % 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.29 % Memory : 8046.5625MB % 0.03/0.29 % OS : Linux 6.8.0-71-generic % 0.03/0.29 % CPULimit : 300 % 0.03/0.29 % WCLimit : 300 % 0.03/0.29 % DateTime : Sat Sep 5 18:17:57 UTC 2026 % 0.03/0.30 % CPUTime : % 20.21/3.25 % SZS status Unsatisfiable % 20.21/3.25 % SZS output begin IncompleteProof % 20.21/3.25 cnf(c0, axiom, % 20.21/3.25 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)). % 20.21/3.25 cnf(c1, plain, % 20.21/3.25 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____), % 20.21/3.25 inference(start, [], [c0])). % 20.21/3.25 % 20.21/3.25 cnf(c2, axiom, % 20.21/3.25 c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4) = c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4)). % 20.21/3.25 cnf(a0, assumption, % 20.21/3.25 c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4)). % 20.21/3.25 cnf(c3, plain, % 20.21/3.25 $false, % 20.21/3.25 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 20.21/3.25 cnf(c4, plain, % 20.21/3.25 $false, % 20.21/3.25 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 20.21/3.25 cnf(c5, plain, % 20.21/3.25 X6 != c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4) | ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),X6,v_T_H____), % 20.21/3.25 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 20.21/3.25 % 20.21/3.25 cnf(c6, axiom, % 20.21/3.25 v_rs____ = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)). % 20.21/3.25 cnf(a1, assumption, % 20.21/3.25 c_List_Olist_OCons(X2,X3,X4) = c_List_Olist_OCons(v_a____,v_as____,tc_Lambda_OdB)). % 20.21/3.25 cnf(c7, plain, % 20.21/3.25 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),X6,v_T_H____), % 20.21/3.25 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 20.21/3.25 cnf(c8, plain, % 20.21/3.25 $false, % 20.21/3.25 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 20.21/3.25 cnf(c9, plain, % 20.21/3.25 X7 != v_rs____ | X6 != c_List_Ofoldl(X0,X1,X7,X5,X4), % 20.21/3.25 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 20.21/3.25 % 20.21/3.25 cnf(a2, assumption, % 20.21/3.25 X7 = v_rs____). % 20.21/3.25 cnf(c10, plain, % 20.21/3.25 X6 != c_List_Ofoldl(X0,X1,X7,X5,X4), % 20.21/3.25 inference(reflexivity, [assumptions([a2])], [c9])). % 20.21/3.25 % 20.21/3.25 cnf(a3, assumption, % 20.21/3.25 X6 = c_List_Ofoldl(X0,X1,X7,X5,X4)). % 20.21/3.25 cnf(c11, plain, % 20.21/3.25 $false, % 20.21/3.25 inference(reflexivity, [assumptions([a3])], [c10])). % 20.21/3.25 % 20.21/3.25 cnf(c12, axiom, % 20.21/3.25 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)). % 20.21/3.25 cnf(a4, assumption, % 20.21/3.25 c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)). % 20.21/3.25 cnf(a5, assumption, % 20.21/3.25 X6 = c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)). % 20.21/3.25 cnf(a6, assumption, % 20.21/3.25 v_T_H____ = v_T_H____). % 20.21/3.25 cnf(c13, plain, % 20.21/3.25 $false, % 20.21/3.25 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c12])). % 20.21/3.25 cnf(c14, plain, % 20.21/3.25 $false, % 20.21/3.25 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c12])). % 20.21/3.25 % 20.21/3.25 cnf(c15, plain, % 20.21/3.25 $false, % 20.21/3.25 inference(constraint_solving, [ % 20.21/3.25 bind(X0, c_Lambda_OdB_OApp), % 20.21/3.25 bind(X1, c_Lambda_OdB_OVar(v_i____)), % 20.21/3.25 bind(X2, v_a____), % 20.21/3.25 bind(X3, v_as____), % 20.21/3.25 bind(X4, tc_Lambda_OdB), % 20.21/3.25 bind(X5, tc_Lambda_OdB), % 20.21/3.25 bind(X6, c_List_Ofoldl(X0,X1,X7,X5,X4)), % 20.21/3.25 bind(X7, v_rs____) % 20.21/3.25 ], % 20.21/3.25 [a0, a1, a2, a3, a4, a5, a6])). % 20.21/3.25 % 20.21/3.25 % SZS output end IncompleteProof %------------------------------------------------------------------------------