%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL789-1 : 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 : n013.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 12:29:23 PM UTC 2026 % Result : Unsatisfiable 0.13s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL789-1 : 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 : n013.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 : Sat Sep 5 23:12:34 UTC 2026 % 0.08/0.34 % CPUTime : % 0.13/0.38 % SZS status Unsatisfiable % 0.13/0.38 % SZS output begin IncompleteProof % 0.13/0.38 cnf(c0, axiom, % 0.13/0.38 ~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)))). % 0.13/0.38 cnf(c1, plain, % 0.13/0.38 ~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))), % 0.13/0.38 inference(start, [], [c0])). % 0.13/0.38 % 0.13/0.38 cnf(c2, axiom, % 0.13/0.38 v_T____ = 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))). % 0.13/0.38 cnf(a0, assumption, % 0.13/0.38 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)) = 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))). % 0.13/0.38 cnf(c3, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.38 cnf(c4, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.38 cnf(c5, plain, % 0.13/0.38 X0 != v_T____ | ~c_Type_Otyping(v_e____,v_u____,X0), % 0.13/0.38 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.13/0.38 % 0.13/0.38 cnf(a1, assumption, % 0.13/0.38 X0 = v_T____). % 0.13/0.38 cnf(c6, plain, % 0.13/0.38 ~c_Type_Otyping(v_e____,v_u____,X0), % 0.13/0.38 inference(reflexivity, [assumptions([a1])], [c5])). % 0.13/0.38 % 0.13/0.38 cnf(c7, axiom, % 0.13/0.38 c_Type_Otyping(v_e____,v_u____,v_T____)). % 0.13/0.38 cnf(a2, assumption, % 0.13/0.38 v_e____ = v_e____). % 0.13/0.38 cnf(a3, assumption, % 0.13/0.38 v_u____ = v_u____). % 0.13/0.38 cnf(a4, assumption, % 0.13/0.38 X0 = v_T____). % 0.13/0.38 cnf(c8, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])). % 0.13/0.38 cnf(c9, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(strict_predicate_extension, [assumptions([a2, a3, a4])], [c6, c7])). % 0.13/0.38 % 0.13/0.38 cnf(c10, plain, % 0.13/0.38 $false, % 0.13/0.38 inference(constraint_solving, [ % 0.13/0.38 bind(X0, v_T____) % 0.13/0.38 ], % 0.13/0.38 [a0, a1, a2, a3, a4])). % 0.13/0.38 % 0.13/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------