%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL438-2 : 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 : n010.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 12:28:42 PM UTC 2026 % Result : Unsatisfiable 0.10s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL438-2 : TPTP v9.3.1. Released v3.2.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.08/0.35 % Computer : n010.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 00:29:53 UTC 2026 % 0.10/0.35 % CPUTime : % 0.10/0.36 % SZS status Unsatisfiable % 0.10/0.36 % SZS output begin IncompleteProof % 0.10/0.36 cnf(c0, axiom, % 0.10/0.36 c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.10/0.36 cnf(c1, plain, % 0.10/0.36 c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)), % 0.10/0.36 inference(start, [], [c0])). % 0.10/0.36 % 0.10/0.36 cnf(c2, axiom, % 0.10/0.36 c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) | ~c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))). % 0.10/0.36 cnf(a0, assumption, % 0.10/0.36 c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a) = X3). % 0.10/0.36 cnf(a1, assumption, % 0.10/0.36 c_PropLog_Othms(v_H,t_a) = c_PropLog_Othms(X1,X2)). % 0.10/0.36 cnf(a2, assumption, % 0.10/0.36 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X2)). % 0.10/0.36 cnf(c3, plain, % 0.10/0.36 $false, % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.36 cnf(c4, plain, % 0.10/0.36 c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)), % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.36 % 0.10/0.36 cnf(c5, axiom, % 0.10/0.36 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.10/0.36 cnf(a3, assumption, % 0.10/0.36 X0 = c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a)). % 0.10/0.36 cnf(a4, assumption, % 0.10/0.36 c_PropLog_Othms(X1,X2) = c_PropLog_Othms(v_H,t_a)). % 0.10/0.36 cnf(a5, assumption, % 0.10/0.36 tc_PropLog_Opl(X2) = tc_PropLog_Opl(t_a)). % 0.10/0.36 cnf(c6, plain, % 0.10/0.36 ~c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)), % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.10/0.36 cnf(c7, plain, % 0.10/0.36 $false, % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.10/0.36 % 0.10/0.36 cnf(c8, axiom, % 0.10/0.36 c_in(X4,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(X7,X4,X6),c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)) | ~c_in(X7,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6))). % 0.10/0.36 cnf(a6, assumption, % 0.10/0.36 c_PropLog_Opl_Oop_A_N_62(X3,X0,X2) = X4). % 0.10/0.36 cnf(a7, assumption, % 0.10/0.36 c_PropLog_Othms(X1,X2) = c_PropLog_Othms(X5,X6)). % 0.10/0.36 cnf(a8, assumption, % 0.10/0.36 tc_PropLog_Opl(X2) = tc_PropLog_Opl(X6)). % 0.10/0.36 cnf(c9, plain, % 0.10/0.36 $false, % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.10/0.36 cnf(c10, plain, % 0.10/0.36 ~c_in(c_PropLog_Opl_Oop_A_N_62(X7,X4,X6),c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)) | ~c_in(X7,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)), % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])). % 0.10/0.36 % 0.10/0.36 cnf(c11, axiom, % 0.10/0.36 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X8,c_PropLog_Opl_Oop_A_N_62(X9,X10,X11),X11),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X8,X9,X11),c_PropLog_Opl_Oop_A_N_62(X8,X10,X11),X11),X11),c_PropLog_Othms(X12,X11),tc_PropLog_Opl(X11))). % 0.10/0.36 cnf(a9, assumption, % 0.10/0.36 c_PropLog_Opl_Oop_A_N_62(X7,X4,X6) = c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X8,c_PropLog_Opl_Oop_A_N_62(X9,X10,X11),X11),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X8,X9,X11),c_PropLog_Opl_Oop_A_N_62(X8,X10,X11),X11),X11)). % 0.10/0.36 cnf(a10, assumption, % 0.10/0.36 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(X12,X11)). % 0.10/0.36 cnf(a11, assumption, % 0.10/0.36 tc_PropLog_Opl(X6) = tc_PropLog_Opl(X11)). % 0.10/0.36 cnf(c12, plain, % 0.10/0.36 ~c_in(X7,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)), % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.10/0.36 cnf(c13, plain, % 0.10/0.36 $false, % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.10/0.36 % 0.10/0.36 cnf(c14, axiom, % 0.10/0.36 c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.10/0.36 cnf(a12, assumption, % 0.10/0.36 X7 = c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),t_a)). % 0.10/0.36 cnf(a13, assumption, % 0.10/0.36 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(v_H,t_a)). % 0.10/0.36 cnf(a14, assumption, % 0.10/0.36 tc_PropLog_Opl(X6) = tc_PropLog_Opl(t_a)). % 0.10/0.36 cnf(c15, plain, % 0.10/0.36 $false, % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c14])). % 0.10/0.36 cnf(c16, plain, % 0.10/0.36 $false, % 0.10/0.36 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c14])). % 0.10/0.36 % 0.10/0.36 cnf(c17, plain, % 0.10/0.36 $false, % 0.10/0.36 inference(constraint_solving, [ % 0.10/0.36 bind(X0, c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a)), % 0.10/0.36 bind(X1, v_H), % 0.10/0.36 bind(X2, t_a), % 0.10/0.36 bind(X3, c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a)), % 0.10/0.36 bind(X4, c_PropLog_Opl_Oop_A_N_62(X3,X0,X2)), % 0.10/0.36 bind(X5, v_H), % 0.10/0.36 bind(X6, t_a), % 0.10/0.36 bind(X7, c_PropLog_Opl_Oop_A_N_62(X8,c_PropLog_Opl_Oop_A_N_62(X9,X10,X11),X11)), % 0.10/0.36 bind(X8, v_p), % 0.10/0.36 bind(X9, v_pa), % 0.10/0.36 bind(X10, v_q), % 0.10/0.36 bind(X11, t_a), % 0.10/0.36 bind(X12, v_H) % 0.10/0.36 ], % 0.10/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])). % 0.10/0.36 % 0.10/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------