%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL805-1 : 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 : n016.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 12:29:25 PM UTC 2026 % Result : Unsatisfiable 5.80s 1.29s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL805-1 : 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 % 0.09/0.36 % Computer : n016.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 17:44:29 UTC 2026 % 0.09/0.36 % CPUTime : % 5.80/1.29 % SZS status Unsatisfiable % 5.80/1.29 % SZS output begin IncompleteProof % 5.80/1.29 cnf(c0, axiom, % 5.80/1.29 ~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)). % 5.80/1.29 cnf(c1, plain, % 5.80/1.29 ~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB), % 5.80/1.29 inference(start, [], [c0])). % 5.80/1.29 % 5.80/1.29 cnf(c2, axiom, % 5.80/1.29 c_List_Olist_ONil(X0) = c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X0)). % 5.80/1.29 cnf(a0, assumption, % 5.80/1.29 c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Omap(X1,c_List_Olist_ONil(X2),X2,X0)). % 5.80/1.29 cnf(c3, plain, % 5.80/1.29 $false, % 5.80/1.29 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 5.80/1.29 cnf(c4, plain, % 5.80/1.29 $false, % 5.80/1.29 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 5.80/1.29 cnf(c5, plain, % 5.80/1.29 X3 != c_List_Olist_ONil(X0) | ~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB), % 5.80/1.29 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 5.80/1.29 % 5.80/1.29 cnf(a1, assumption, % 5.80/1.29 X3 = c_List_Olist_ONil(X0)). % 5.80/1.29 cnf(c6, plain, % 5.80/1.29 ~c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB), % 5.80/1.29 inference(reflexivity, [assumptions([a1])], [c5])). % 5.80/1.29 % 5.80/1.29 cnf(c7, axiom, % 5.80/1.29 ~c_List_Olistsp(c_InductTermi_OIT,X4,tc_Lambda_OdB) | c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)). % 5.80/1.29 cnf(a2, assumption, % 5.80/1.29 c_InductTermi_OIT = c_InductTermi_OIT). % 5.80/1.29 cnf(a3, assumption, % 5.80/1.29 c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB)). % 5.80/1.29 cnf(a4, assumption, % 5.80/1.29 tc_Lambda_OdB = tc_Lambda_OdB). % 5.80/1.29 cnf(c8, plain, % 5.80/1.29 $false, % 5.80/1.29 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])). % 5.80/1.29 cnf(c9, plain, % 5.80/1.29 ~c_List_Olistsp(c_InductTermi_OIT,X4,tc_Lambda_OdB), % 5.80/1.29 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])). % 5.80/1.29 % 5.80/1.29 cnf(c10, axiom, % 5.80/1.29 c_List_Olistsp(X5,c_List_Olist_ONil(X6),X6)). % 5.80/1.29 cnf(a5, assumption, % 5.80/1.29 c_InductTermi_OIT = X5). % 5.80/1.29 cnf(a6, assumption, % 5.80/1.29 X4 = c_List_Olist_ONil(X6)). % 5.80/1.29 cnf(a7, assumption, % 5.80/1.29 tc_Lambda_OdB = X6). % 5.80/1.29 cnf(c11, plain, % 5.80/1.29 $false, % 5.80/1.29 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c9, c10])). % 5.80/1.29 cnf(c12, plain, % 5.80/1.29 $false, % 5.80/1.29 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c9, c10])). % 5.80/1.29 % 5.80/1.29 cnf(c13, plain, % 5.80/1.29 $false, % 5.80/1.29 inference(constraint_solving, [ % 5.80/1.29 bind(X0, tc_Lambda_OdB), % 5.80/1.29 bind(X1, c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB)), % 5.80/1.29 bind(X2, tc_Lambda_OdB), % 5.80/1.29 bind(X3, c_List_Olist_ONil(X0)), % 5.80/1.29 bind(X4, c_List_Olist_ONil(X0)), % 5.80/1.29 bind(X5, c_InductTermi_OIT), % 5.80/1.29 bind(X6, tc_Lambda_OdB) % 5.80/1.29 ], % 5.80/1.29 [a0, a1, a2, a3, a4, a5, a6, a7])). % 5.80/1.29 % 5.80/1.29 % SZS output end IncompleteProof %------------------------------------------------------------------------------