%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL835-1 : 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 : n017.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 12:29:30 PM UTC 2026 % Result : Unsatisfiable 0.13s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL835-1 : 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 % 0.10/0.35 % Computer : n017.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 5 21:10:37 UTC 2026 % 0.10/0.35 % CPUTime : % 0.13/0.40 % SZS status Unsatisfiable % 0.13/0.40 % SZS output begin IncompleteProof % 0.13/0.40 cnf(c0, axiom, % 0.13/0.40 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)). % 0.13/0.40 cnf(c1, plain, % 0.13/0.40 ~c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____), % 0.13/0.40 inference(start, [], [c0])). % 0.13/0.40 % 0.13/0.40 cnf(c2, axiom, % 0.13/0.40 ~c_Type_Otyping(X0,X1,X2) | ~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) | c_Type_Otyping(X0,X3,X2)). % 0.13/0.40 cnf(a0, assumption, % 0.13/0.40 c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype) = X0). % 0.13/0.40 cnf(a1, assumption, % 0.13/0.40 c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB) = X3). % 0.13/0.40 cnf(a2, assumption, % 0.13/0.40 v_T_H____ = X2). % 0.13/0.40 cnf(c3, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.40 cnf(c4, plain, % 0.13/0.40 ~c_Type_Otyping(X0,X1,X2) | ~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.40 % 0.13/0.40 cnf(c5, axiom, % 0.13/0.40 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_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____)). % 0.13/0.40 cnf(a3, assumption, % 0.13/0.40 X0 = c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)). % 0.13/0.40 cnf(a4, assumption, % 0.13/0.40 X1 = c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)). % 0.13/0.40 cnf(a5, assumption, % 0.13/0.40 X2 = v_T_H____). % 0.13/0.40 cnf(c6, plain, % 0.13/0.40 ~hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)), % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.40 cnf(c7, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.40 % 0.13/0.40 cnf(c8, axiom, % 0.13/0.40 hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)))). % 0.13/0.40 cnf(a6, assumption, % 0.13/0.40 hAPP(hAPP(c_Lambda_Obeta,X1),X3) = hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))). % 0.13/0.40 cnf(c9, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a6])], [c6, c8])). % 0.13/0.40 cnf(c10, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(strict_predicate_extension, [assumptions([a6])], [c6, c8])). % 0.13/0.40 % 0.13/0.40 cnf(c11, plain, % 0.13/0.40 $false, % 0.13/0.40 inference(constraint_solving, [ % 0.13/0.40 bind(X0, c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)), % 0.13/0.40 bind(X1, c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)), % 0.13/0.40 bind(X2, v_T_H____), % 0.13/0.40 bind(X3, c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)) % 0.13/0.40 ], % 0.13/0.40 [a0, a1, a2, a3, a4, a5, a6])). % 0.13/0.40 % 0.13/0.40 % SZS output end IncompleteProof %------------------------------------------------------------------------------