%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n002.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 12:28:41 PM UTC 2026 % Result : Unsatisfiable 0.09s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL431-2 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.35 % Computer : n002.cluster.edu % 0.09/0.35 % Model : x86_64 x86_64 % 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.35 % Memory : 8046.5625MB % 0.09/0.35 % OS : Linux 6.8.0-71-generic % 0.09/0.35 % CPULimit : 300 % 0.09/0.35 % WCLimit : 300 % 0.09/0.35 % DateTime : Fri Sep 4 17:25:05 UTC 2026 % 0.09/0.35 % CPUTime : % 0.09/0.36 % SZS status Unsatisfiable % 0.09/0.36 % SZS output begin IncompleteProof % 0.09/0.36 cnf(c0, axiom, % 0.09/0.36 c_PropLog_Osat(c_emptyset,v_p,t_a)). % 0.09/0.36 cnf(c1, plain, % 0.09/0.36 c_PropLog_Osat(c_emptyset,v_p,t_a), % 0.09/0.36 inference(start, [], [c0])). % 0.09/0.36 % 0.09/0.36 cnf(c2, axiom, % 0.09/0.36 c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X1,X2),c_PropLog_Ohyps(X0,X3,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2)) | ~c_PropLog_Osat(c_emptyset,X0,X2)). % 0.09/0.36 cnf(a0, assumption, % 0.09/0.36 c_emptyset = c_emptyset). % 0.09/0.36 cnf(a1, assumption, % 0.09/0.36 v_p = X0). % 0.09/0.36 cnf(a2, assumption, % 0.09/0.36 t_a = X2). % 0.09/0.36 cnf(c3, plain, % 0.09/0.36 $false, % 0.09/0.36 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.09/0.36 cnf(c4, plain, % 0.09/0.36 c_in(X0,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X0,X1,X2),c_PropLog_Ohyps(X0,X3,X2),tc_set(tc_PropLog_Opl(X2))),X2),tc_PropLog_Opl(X2)), % 0.09/0.36 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.09/0.36 % 0.09/0.36 cnf(c5, axiom, % 0.09/0.36 c_emptyset = c_minus(X4,X4,tc_set(X5))). % 0.09/0.36 cnf(a3, assumption, % 0.09/0.36 c_minus(c_PropLog_Ohyps(X0,X1,X2),c_PropLog_Ohyps(X0,X3,X2),tc_set(tc_PropLog_Opl(X2))) = c_minus(X4,X4,tc_set(X5))). % 0.09/0.36 cnf(c6, plain, % 0.09/0.36 $false, % 0.09/0.36 inference(strict_function_extension, [assumptions([a3])], [c4, c5])). % 0.09/0.36 cnf(c7, plain, % 0.09/0.36 $false, % 0.09/0.36 inference(strict_function_extension, [assumptions([a3])], [c4, c5])). % 0.09/0.36 cnf(c8, plain, % 0.09/0.36 X6 != c_emptyset | c_in(X0,c_PropLog_Othms(X6,X2),tc_PropLog_Opl(X2)), % 0.09/0.36 inference(strict_function_extension, [assumptions([a3])], [c4, c5])). % 0.09/0.36 % 0.09/0.36 cnf(a4, assumption, % 0.09/0.36 X6 = c_emptyset). % 0.09/0.36 cnf(c9, plain, % 0.09/0.36 c_in(X0,c_PropLog_Othms(X6,X2),tc_PropLog_Opl(X2)), % 0.09/0.36 inference(reflexivity, [assumptions([a4])], [c8])). % 0.09/0.36 % 0.09/0.36 cnf(c10, axiom, % 0.09/0.36 ~c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a))). % 0.09/0.36 cnf(a5, assumption, % 0.09/0.36 X0 = v_p). % 0.09/0.36 cnf(a6, assumption, % 0.09/0.36 c_PropLog_Othms(X6,X2) = c_PropLog_Othms(c_emptyset,t_a)). % 0.09/0.36 cnf(a7, assumption, % 0.09/0.36 tc_PropLog_Opl(X2) = tc_PropLog_Opl(t_a)). % 0.09/0.36 cnf(c11, plain, % 0.09/0.36 $false, % 0.09/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c9, c10])). % 0.09/0.36 cnf(c12, plain, % 0.09/0.36 $false, % 0.09/0.36 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c9, c10])). % 0.09/0.36 % 0.09/0.36 cnf(c13, plain, % 0.09/0.36 $false, % 0.09/0.36 inference(constraint_solving, [ % 0.09/0.36 bind(X0, v_p), % 0.09/0.36 bind(X1, X1), % 0.09/0.36 bind(X2, t_a), % 0.09/0.36 bind(X3, X1), % 0.09/0.36 bind(X4, c_PropLog_Ohyps(X0,X1,X2)), % 0.09/0.36 bind(X5, tc_PropLog_Opl(X2)), % 0.09/0.36 bind(X6, c_emptyset) % 0.09/0.36 ], % 0.09/0.36 [a0, a1, a2, a3, a4, a5, a6, a7])). % 0.09/0.36 % 0.09/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------