%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL849-1 : 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 : n004.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 64.67s 8.88s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL849-1 : 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 % 0.08/0.35 % Computer : n004.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 04:33:59 UTC 2026 % 0.08/0.35 % CPUTime : % 64.67/8.88 % SZS status Unsatisfiable % 64.67/8.88 % SZS output begin IncompleteProof % 64.67/8.88 cnf(c0, axiom, % 64.67/8.88 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))). % 64.67/8.88 cnf(c1, plain, % 64.67/8.88 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))), % 64.67/8.88 inference(start, [], [c0])). % 64.67/8.88 % 64.67/8.88 cnf(c2, axiom, % 64.67/8.88 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)). % 64.67/8.88 cnf(a0, assumption, % 64.67/8.88 c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_OCons(hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = c_List_Ofoldl(X0,X1,c_List_Olist_OCons(X2,X3,X4),X5,X4)). % 64.67/8.88 cnf(c3, plain, % 64.67/8.88 $false, % 64.67/8.88 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 64.67/8.88 cnf(c4, plain, % 64.67/8.88 $false, % 64.67/8.88 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 64.67/8.88 cnf(c5, plain, % 64.67/8.88 X6 != c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4) | X6 != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))), % 64.67/8.88 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 64.67/8.88 % 64.67/8.88 cnf(c6, axiom, % 64.67/8.88 c_List_Ofoldl(X7,X8,c_List_Olist_ONil(X9),X10,X9) = X8). % 64.67/8.88 cnf(a1, assumption, % 64.67/8.88 c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X5,X4) = c_List_Ofoldl(X7,X8,c_List_Olist_ONil(X9),X10,X9)). % 64.67/8.88 cnf(c7, plain, % 64.67/8.88 X6 != hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))), % 64.67/8.88 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 64.67/8.88 cnf(c8, plain, % 64.67/8.88 $false, % 64.67/8.88 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 64.67/8.88 cnf(c9, plain, % 64.67/8.88 X11 != X8 | X6 != X11, % 64.67/8.88 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 64.67/8.88 % 64.67/8.88 cnf(a2, assumption, % 64.67/8.88 X11 = X8). % 64.67/8.88 cnf(c10, plain, % 64.67/8.88 X6 != X11, % 64.67/8.88 inference(reflexivity, [assumptions([a2])], [c9])). % 64.67/8.88 % 64.67/8.88 cnf(a3, assumption, % 64.67/8.88 X6 = X11). % 64.67/8.88 cnf(c11, plain, % 64.67/8.88 $false, % 64.67/8.88 inference(reflexivity, [assumptions([a3])], [c10])). % 64.67/8.88 % 64.67/8.88 cnf(a4, assumption, % 64.67/8.88 X6 = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat)))). % 64.67/8.88 cnf(c12, plain, % 64.67/8.88 $false, % 64.67/8.88 inference(reflexivity, [assumptions([a4])], [c7])). % 64.67/8.88 % 64.67/8.88 cnf(c13, plain, % 64.67/8.88 $false, % 64.67/8.88 inference(constraint_solving, [ % 64.67/8.88 bind(X0, c_Lambda_OdB_OApp), % 64.67/8.88 bind(X1, c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))), % 64.67/8.88 bind(X2, hAPP(hAPP(c_Lambda_Olift,v_ta____),c_HOL_Ozero__class_Ozero(tc_nat))), % 64.67/8.88 bind(X3, c_List_Olist_ONil(tc_Lambda_OdB)), % 64.67/8.88 bind(X4, tc_Lambda_OdB), % 64.67/8.88 bind(X5, tc_Lambda_OdB), % 64.67/8.88 bind(X6, hAPP(hAPP(X0,X1),X2)), % 64.67/8.88 bind(X7, c_Lambda_OdB_OApp), % 64.67/8.88 bind(X8, hAPP(hAPP(X0,X1),X2)), % 64.67/8.88 bind(X9, tc_Lambda_OdB), % 64.67/8.88 bind(X10, tc_Lambda_OdB), % 64.67/8.88 bind(X11, hAPP(hAPP(X0,X1),X2)) % 64.67/8.88 ], % 64.67/8.88 [a0, a1, a2, a3, a4])). % 64.67/8.88 % 64.67/8.88 % SZS output end IncompleteProof %------------------------------------------------------------------------------