%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL441-2 : 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 : 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 12:28:43 PM UTC 2026 % Result : Unsatisfiable 0.10s 0.38s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL441-2 : 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 % 0.10/0.37 % 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 08:09:44 UTC 2026 % 0.10/0.37 % CPUTime : % 0.10/0.38 % SZS status Unsatisfiable % 0.10/0.38 % SZS output begin IncompleteProof % 0.10/0.38 cnf(c0, axiom, % 0.10/0.38 ~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))). % 0.10/0.38 cnf(c1, plain, % 0.10/0.38 ~c_in(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)), % 0.10/0.38 inference(start, [], [c0])). % 0.10/0.38 % 0.10/0.38 cnf(c2, axiom, % 0.10/0.38 c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) | ~c_in(X0,X1,tc_PropLog_Opl(X2))). % 0.10/0.38 cnf(a0, assumption, % 0.10/0.38 c_PropLog_Opl_Ovar(v_a,t_a) = X0). % 0.10/0.38 cnf(a1, assumption, % 0.10/0.38 c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a) = c_PropLog_Othms(X1,X2)). % 0.10/0.38 cnf(a2, assumption, % 0.10/0.38 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X2)). % 0.10/0.38 cnf(c3, plain, % 0.10/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.38 cnf(c4, plain, % 0.10/0.38 ~c_in(X0,X1,tc_PropLog_Opl(X2)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.10/0.38 % 0.10/0.38 cnf(c5, axiom, % 0.10/0.38 c_in(X3,c_insert(X3,X4,X5),X5)). % 0.10/0.38 cnf(a3, assumption, % 0.10/0.38 X0 = X3). % 0.10/0.38 cnf(a4, assumption, % 0.10/0.38 X1 = c_insert(X3,X4,X5)). % 0.10/0.38 cnf(a5, assumption, % 0.10/0.38 tc_PropLog_Opl(X2) = X5). % 0.10/0.38 cnf(c6, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.10/0.38 cnf(c7, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.10/0.38 % 0.10/0.38 cnf(c8, axiom, % 0.10/0.38 c_in(X6,c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8)) | ~c_in(X6,X7,tc_PropLog_Opl(X8))). % 0.10/0.38 cnf(a6, assumption, % 0.10/0.38 c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a) = X6). % 0.10/0.38 cnf(a7, assumption, % 0.10/0.38 c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a)),t_a) = c_PropLog_Othms(X7,X8)). % 0.10/0.38 cnf(a8, assumption, % 0.10/0.38 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X8)). % 0.10/0.38 cnf(c9, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c3, c8])). % 0.10/0.38 cnf(c10, plain, % 0.10/0.38 ~c_in(X6,X7,tc_PropLog_Opl(X8)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c3, c8])). % 0.10/0.38 % 0.10/0.38 cnf(c11, axiom, % 0.10/0.38 c_in(X9,c_insert(X9,X10,X11),X11)). % 0.10/0.38 cnf(a9, assumption, % 0.10/0.38 X6 = X9). % 0.10/0.38 cnf(a10, assumption, % 0.10/0.38 X7 = c_insert(X9,X10,X11)). % 0.10/0.38 cnf(a11, assumption, % 0.10/0.38 tc_PropLog_Opl(X8) = X11). % 0.10/0.38 cnf(c12, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.10/0.38 cnf(c13, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.10/0.38 % 0.10/0.38 cnf(c14, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(constraint_solving, [ % 0.10/0.38 bind(X0, c_PropLog_Opl_Ovar(v_a,t_a)), % 0.10/0.38 bind(X1, c_insert(c_PropLog_Opl_Ovar(v_a,t_a),c_emptyset,tc_PropLog_Opl(t_a))), % 0.10/0.38 bind(X2, t_a), % 0.10/0.38 bind(X3, c_PropLog_Opl_Ovar(v_a,t_a)), % 0.10/0.38 bind(X4, c_emptyset), % 0.10/0.38 bind(X5, tc_PropLog_Opl(t_a)), % 0.10/0.38 bind(X6, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a)), % 0.10/0.38 bind(X7, c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a),c_emptyset,tc_PropLog_Opl(t_a))), % 0.10/0.38 bind(X8, t_a), % 0.10/0.38 bind(X9, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_a,t_a),c_PropLog_Opl_Ofalse,t_a)), % 0.10/0.38 bind(X10, c_emptyset), % 0.10/0.38 bind(X11, tc_PropLog_Opl(t_a)) % 0.10/0.38 ], % 0.10/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 0.10/0.38 % 0.10/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------