%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL812-1 : 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 : n014.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 12:29:26 PM UTC 2026 % Result : Unsatisfiable 0.10s 0.44s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL812-1 : 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 : n014.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 % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 23:22:57 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.44 % SZS status Unsatisfiable % 0.10/0.44 % SZS output begin IncompleteProof % 0.10/0.44 cnf(c0, axiom, % 0.10/0.44 ~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)))). % 0.10/0.44 cnf(c1, plain, % 0.10/0.44 ~hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))), % 0.10/0.44 inference(start, [], [c0])). % 0.10/0.44 % 0.10/0.44 cnf(c2, axiom, % 0.10/0.44 ~c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB)))). % 0.10/0.44 cnf(a0, assumption, % 0.10/0.44 hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)) = hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.10/0.44 cnf(c3, plain, % 0.10/0.44 $false, % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.10/0.44 cnf(c4, plain, % 0.10/0.44 ~c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB), % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 0.10/0.44 % 0.10/0.44 cnf(c5, axiom, % 0.10/0.44 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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)). % 0.10/0.44 cnf(a1, assumption, % 0.10/0.44 c_InductTermi_OIT = c_InductTermi_OIT). % 0.10/0.44 cnf(a2, assumption, % 0.10/0.44 X0 = 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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)). % 0.10/0.44 cnf(a3, assumption, % 0.10/0.44 tc_Lambda_OdB = tc_Lambda_OdB). % 0.10/0.44 cnf(c6, plain, % 0.10/0.44 $false, % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.10/0.44 cnf(c7, plain, % 0.10/0.44 $false, % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])). % 0.10/0.44 % 0.10/0.44 cnf(c8, plain, % 0.10/0.44 $false, % 0.10/0.44 inference(constraint_solving, [ % 0.10/0.44 bind(X0, 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),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)), % 0.10/0.44 bind(X1, c_HOL_Ozero__class_Ozero(tc_nat)) % 0.10/0.44 ], % 0.10/0.44 [a0, a1, a2, a3])). % 0.10/0.44 % 0.10/0.44 % SZS output end IncompleteProof %------------------------------------------------------------------------------