%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL786-1 : 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 : n029.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 0.50s 0.47s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL786-1 : 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 % 0.11/0.37 % Computer : n029.cluster.edu % 0.11/0.37 % Model : x86_64 x86_64 % 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.37 % Memory : 8046.5625MB % 0.11/0.37 % OS : Linux 6.8.0-71-generic % 0.11/0.37 % CPULimit : 300 % 0.11/0.37 % WCLimit : 300 % 0.11/0.37 % DateTime : Fri Sep 4 23:30:39 UTC 2026 % 0.11/0.37 % CPUTime : % 0.50/0.47 % SZS status Unsatisfiable % 0.50/0.47 % SZS output begin IncompleteProof % 0.50/0.47 cnf(c0, axiom, % 0.50/0.47 ~v_thesis____). % 0.50/0.47 cnf(c1, plain, % 0.50/0.47 ~v_thesis____, % 0.50/0.47 inference(start, [], [c0])). % 0.50/0.47 % 0.50/0.47 cnf(c2, axiom, % 0.50/0.47 ~hBOOL(hAPP(hAPP(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_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(X0,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))) | ~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X0) | v_thesis____). % 0.50/0.47 cnf(c3, plain, % 0.50/0.47 $false, % 0.50/0.47 inference(strict_predicate_extension, [], [c1, c2])). % 0.50/0.47 cnf(c4, plain, % 0.50/0.47 ~hBOOL(hAPP(hAPP(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_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(X0,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))) | ~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X0), % 0.50/0.47 inference(strict_predicate_extension, [], [c1, c2])). % 0.50/0.47 % 0.50/0.47 cnf(c5, axiom, % 0.50/0.47 ~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)),X4)) | hBOOL(hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X4,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)))). % 0.50/0.47 cnf(a0, assumption, % 0.50/0.47 hAPP(hAPP(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_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),v_T_H____,c_List_Orev(X0,tc_Type_Otype),tc_Type_Otype,tc_Type_Otype)) = hAPP(hAPP(c_Type_Otyping(X1),X2),c_List_Ofoldl(c_COMBC(c_Type_Otype_OFun,tc_Type_Otype,tc_Type_Otype,tc_Type_Otype),X4,c_List_Orev(c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3),tc_Type_Otype),tc_Type_Otype,tc_Type_Otype))). % 0.50/0.47 cnf(c6, plain, % 0.50/0.47 ~c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,X0), % 0.50/0.47 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 0.50/0.47 cnf(c7, plain, % 0.50/0.47 ~hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)),X4)), % 0.50/0.47 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 0.50/0.47 % 0.50/0.47 cnf(c8, axiom, % 0.50/0.47 hBOOL(hAPP(hAPP(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____))). % 0.50/0.47 cnf(a1, assumption, % 0.50/0.47 hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)),X4) = hAPP(hAPP(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____)). % 0.50/0.47 cnf(c9, plain, % 0.50/0.47 $false, % 0.50/0.47 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 0.50/0.47 cnf(c10, plain, % 0.50/0.47 $false, % 0.50/0.47 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 0.50/0.47 % 0.50/0.47 cnf(c11, axiom, % 0.50/0.47 ~hBOOL(hAPP(hAPP(c_Type_Otyping(X5),c_List_Ofoldl(c_Lambda_OdB_OApp,X6,X7,tc_Lambda_OdB,tc_Lambda_OdB)),X8)) | c_Type_Otypings(X5,X7,c_Type_Osko__Type__Xlist__app__typeE__1__1(X8,X5,X6,X7))). % 0.50/0.47 cnf(a2, assumption, % 0.50/0.47 c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = X5). % 0.50/0.47 cnf(a3, assumption, % 0.50/0.47 v_as____ = X7). % 0.50/0.47 cnf(a4, assumption, % 0.50/0.47 X0 = c_Type_Osko__Type__Xlist__app__typeE__1__1(X8,X5,X6,X7)). % 0.50/0.47 cnf(c12, plain, % 0.50/0.47 $false, % 0.50/0.47 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c11])). % 0.50/0.47 cnf(c13, plain, % 0.50/0.47 ~hBOOL(hAPP(hAPP(c_Type_Otyping(X5),c_List_Ofoldl(c_Lambda_OdB_OApp,X6,X7,tc_Lambda_OdB,tc_Lambda_OdB)),X8)), % 0.50/0.47 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c11])). % 0.50/0.47 % 0.50/0.47 cnf(c14, plain, % 0.50/0.47 hBOOL(hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)),X4))). % 0.50/0.47 cnf(a5, assumption, % 0.50/0.47 hAPP(hAPP(c_Type_Otyping(X5),c_List_Ofoldl(c_Lambda_OdB_OApp,X6,X7,tc_Lambda_OdB,tc_Lambda_OdB)),X8) = hAPP(hAPP(c_Type_Otyping(X1),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)),X4)). % 0.50/0.47 cnf(c15, plain, % 0.50/0.47 $false, % 0.50/0.47 inference(predicate_reduction, [assumptions([a5])], [c13, c14])). % 0.50/0.47 % 0.50/0.47 cnf(c16, plain, % 0.50/0.47 $false, % 0.50/0.47 inference(constraint_solving, [ % 0.50/0.47 bind(X0, c_Type_Osko__Type__Xlist__app__typeE__1__1(X4,X1,X2,X3)), % 0.50/0.47 bind(X1, c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)), % 0.50/0.47 bind(X2, hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____)), % 0.50/0.47 bind(X3, v_as____), % 0.50/0.47 bind(X4, v_T_H____), % 0.50/0.47 bind(X5, c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)), % 0.50/0.47 bind(X6, hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____)), % 0.50/0.47 bind(X7, v_as____), % 0.50/0.47 bind(X8, v_T_H____) % 0.50/0.47 ], % 0.50/0.47 [a0, a1, a2, a3, a4, a5])). % 0.50/0.47 % 0.50/0.47 % SZS output end IncompleteProof %------------------------------------------------------------------------------