%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL787-1 : 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 : n006.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 0.12s 0.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL787-1 : 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 % 0.08/0.34 % Computer : n006.cluster.edu % 0.08/0.34 % Model : x86_64 x86_64 % 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.34 % Memory : 8046.5625MB % 0.08/0.34 % OS : Linux 6.8.0-71-generic % 0.08/0.34 % CPULimit : 300 % 0.08/0.34 % WCLimit : 300 % 0.08/0.34 % DateTime : Fri Sep 4 14:56:01 UTC 2026 % 0.08/0.35 % CPUTime : % 0.12/0.39 % SZS status Unsatisfiable % 0.12/0.39 % SZS output begin IncompleteProof % 0.12/0.39 cnf(c0, axiom, % 0.12/0.39 ~v_thesis____). % 0.12/0.39 cnf(c1, plain, % 0.12/0.39 ~v_thesis____, % 0.12/0.39 inference(start, [], [c0])). % 0.12/0.39 % 0.12/0.39 cnf(c2, axiom, % 0.12/0.39 ~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,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) | ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0) | v_thesis____). % 0.12/0.39 cnf(c3, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_predicate_extension, [], [c1, c2])). % 0.12/0.39 cnf(c4, plain, % 0.12/0.39 ~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,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) | ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0), % 0.12/0.39 inference(strict_predicate_extension, [], [c1, c2])). % 0.12/0.39 % 0.12/0.39 cnf(c5, axiom, % 0.12/0.39 ~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4) | c_Type_Otyping(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4))). % 0.12/0.39 cnf(a0, assumption, % 0.12/0.39 c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = X1). % 0.12/0.39 cnf(a1, assumption, % 0.12/0.39 c_Lambda_OdB_OVar(v_i____) = X2). % 0.12/0.39 cnf(a2, assumption, % 0.12/0.39 hAPP(hAPP(c_Type_Otype_OFun,X0),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) = hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)),X4)). % 0.12/0.39 cnf(c6, plain, % 0.12/0.39 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,X0), % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c4, c5])). % 0.12/0.39 cnf(c7, plain, % 0.12/0.39 ~c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4), % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c4, c5])). % 0.12/0.39 % 0.12/0.39 cnf(c8, axiom, % 0.12/0.39 c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))). % 0.12/0.39 cnf(a3, assumption, % 0.12/0.39 X1 = c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)). % 0.12/0.39 cnf(a4, assumption, % 0.12/0.39 hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) = hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____)). % 0.12/0.39 cnf(a5, assumption, % 0.12/0.39 X4 = c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)). % 0.12/0.39 cnf(c9, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])). % 0.12/0.39 cnf(c10, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c7, c8])). % 0.12/0.39 % 0.12/0.39 cnf(c11, axiom, % 0.12/0.39 ~c_Type_Otyping(X5,hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7),X8) | c_Type_Otyping(X5,X7,c_Type_Osko__Type__Xtyping__elims__2__1(X8,X5,X6,X7))). % 0.12/0.39 cnf(a6, assumption, % 0.12/0.39 c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = X5). % 0.12/0.39 cnf(a7, assumption, % 0.12/0.39 v_a____ = X7). % 0.12/0.39 cnf(a8, assumption, % 0.12/0.39 X0 = c_Type_Osko__Type__Xtyping__elims__2__1(X8,X5,X6,X7)). % 0.12/0.39 cnf(c12, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c11])). % 0.12/0.39 cnf(c13, plain, % 0.12/0.39 ~c_Type_Otyping(X5,hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7),X8), % 0.12/0.39 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c11])). % 0.12/0.39 % 0.12/0.39 cnf(c14, plain, % 0.12/0.39 c_Type_Otyping(X1,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),X4)). % 0.12/0.39 cnf(a9, assumption, % 0.12/0.39 X5 = X1). % 0.12/0.39 cnf(a10, assumption, % 0.12/0.39 hAPP(hAPP(c_Lambda_OdB_OApp,X6),X7) = hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)). % 0.12/0.39 cnf(a11, assumption, % 0.12/0.39 X8 = X4). % 0.12/0.39 cnf(c15, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(predicate_reduction, [assumptions([a9, a10, a11])], [c13, c14])). % 0.12/0.39 % 0.12/0.39 cnf(c16, plain, % 0.12/0.39 $false, % 0.12/0.39 inference(constraint_solving, [ % 0.12/0.39 bind(X0, c_Type_Osko__Type__Xtyping__elims__2__1(X4,X1,X2,X3)), % 0.12/0.39 bind(X1, c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)), % 0.12/0.39 bind(X2, c_Lambda_OdB_OVar(v_i____)), % 0.12/0.39 bind(X3, v_a____), % 0.12/0.39 bind(X4, c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)), % 0.12/0.39 bind(X5, c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)), % 0.12/0.39 bind(X6, c_Lambda_OdB_OVar(v_i____)), % 0.12/0.39 bind(X7, v_a____), % 0.12/0.39 bind(X8, c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) % 0.12/0.39 ], % 0.12/0.39 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 0.12/0.39 % 0.12/0.39 % SZS output end IncompleteProof %------------------------------------------------------------------------------