%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL795-1 : 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 : n016.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 12:29:24 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 : LCL795-1 : 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 % 0.10/0.37 % Computer : n016.cluster.edu % 0.10/0.37 % Model : x86_64 x86_64 % 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.37 % Memory : 8046.5625MB % 0.10/0.37 % OS : Linux 6.8.0-71-generic % 0.10/0.37 % CPULimit : 300 % 0.10/0.37 % WCLimit : 300 % 0.10/0.37 % DateTime : Sat Sep 5 15:27:45 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 ~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))). % 0.10/0.44 cnf(c1, plain, % 0.10/0.44 ~c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), % 0.10/0.44 inference(start, [], [c0])). % 0.10/0.44 % 0.10/0.44 cnf(c2, axiom, % 0.10/0.44 ~c_Type_Otyping(X0,X1,X2) | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2)). % 0.10/0.44 cnf(a0, assumption, % 0.10/0.44 c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype) = c_Type_Oshift(X0,X3,X4,tc_Type_Otype)). % 0.10/0.44 cnf(a1, assumption, % 0.10/0.44 c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)) = c_Lambda_Olift(X1,X3)). % 0.10/0.44 cnf(a2, assumption, % 0.10/0.44 hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) = X2). % 0.10/0.44 cnf(c3, plain, % 0.10/0.44 $false, % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.44 cnf(c4, plain, % 0.10/0.44 ~c_Type_Otyping(X0,X1,X2), % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.44 % 0.10/0.44 cnf(c5, axiom, % 0.10/0.44 c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)))). % 0.10/0.44 cnf(a3, assumption, % 0.10/0.44 X0 = v_e____). % 0.10/0.44 cnf(a4, assumption, % 0.10/0.44 X1 = v_u____). % 0.10/0.44 cnf(a5, assumption, % 0.10/0.44 X2 = hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))). % 0.10/0.44 cnf(c6, plain, % 0.10/0.44 $false, % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.10/0.44 cnf(c7, plain, % 0.10/0.44 $false, % 0.10/0.44 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [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, v_e____), % 0.10/0.44 bind(X1, v_u____), % 0.10/0.44 bind(X2, hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))), % 0.10/0.44 bind(X3, c_HOL_Ozero__class_Ozero(tc_nat)), % 0.10/0.44 bind(X4, v_T_H_H____) % 0.10/0.44 ], % 0.10/0.44 [a0, a1, a2, a3, a4, a5])). % 0.10/0.44 % 0.10/0.44 % SZS output end IncompleteProof %------------------------------------------------------------------------------