%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL439-2 : 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 : n009.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 0.08s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL439-2 : 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 % 0.08/0.33 % Computer : n009.cluster.edu % 0.08/0.33 % Model : x86_64 x86_64 % 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.33 % Memory : 8046.5625MB % 0.08/0.33 % OS : Linux 6.8.0-71-generic % 0.08/0.33 % CPULimit : 300 % 0.08/0.33 % WCLimit : 300 % 0.08/0.33 % DateTime : Sun Sep 6 01:31:21 UTC 2026 % 0.08/0.33 % CPUTime : % 0.08/0.34 % SZS status Unsatisfiable % 0.08/0.34 % SZS output begin IncompleteProof % 0.08/0.34 cnf(c0, axiom, % 0.08/0.34 c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.08/0.34 cnf(c1, plain, % 0.08/0.34 c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)), % 0.08/0.34 inference(start, [], [c0])). % 0.08/0.34 % 0.08/0.34 cnf(c2, axiom, % 0.08/0.34 c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) | ~c_in(X0,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))). % 0.08/0.34 cnf(a0, assumption, % 0.08/0.34 c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a) = X0). % 0.08/0.34 cnf(a1, assumption, % 0.08/0.34 c_PropLog_Othms(v_H,t_a) = c_PropLog_Othms(X2,X3)). % 0.08/0.34 cnf(a2, assumption, % 0.08/0.34 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X3)). % 0.08/0.34 cnf(c3, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.08/0.34 cnf(c4, plain, % 0.08/0.34 c_in(X0,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)), % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.08/0.34 % 0.08/0.34 cnf(c5, axiom, % 0.08/0.34 c_in(X4,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Ofalse,X6),c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)) | ~c_in(X7,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6))). % 0.08/0.34 cnf(a3, assumption, % 0.08/0.34 X0 = c_PropLog_Opl_Oop_A_N_62(X7,c_PropLog_Opl_Ofalse,X6)). % 0.08/0.34 cnf(a4, assumption, % 0.08/0.34 c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3) = c_PropLog_Othms(X5,X6)). % 0.08/0.34 cnf(a5, assumption, % 0.08/0.34 tc_PropLog_Opl(X3) = tc_PropLog_Opl(X6)). % 0.08/0.34 cnf(c6, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.08/0.34 cnf(c7, plain, % 0.08/0.34 c_in(X4,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)) | ~c_in(X7,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)), % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.08/0.34 % 0.08/0.34 cnf(c8, axiom, % 0.08/0.34 c_in(c_PropLog_Opl_Oop_A_N_62(X8,X9,X10),c_PropLog_Othms(X11,X10),tc_PropLog_Opl(X10)) | ~c_in(X9,c_PropLog_Othms(c_insert(X8,X11,tc_PropLog_Opl(X10)),X10),tc_PropLog_Opl(X10))). % 0.08/0.34 cnf(a6, assumption, % 0.08/0.34 X4 = X9). % 0.08/0.34 cnf(a7, assumption, % 0.08/0.34 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(c_insert(X8,X11,tc_PropLog_Opl(X10)),X10)). % 0.08/0.34 cnf(a8, assumption, % 0.08/0.34 tc_PropLog_Opl(X6) = tc_PropLog_Opl(X10)). % 0.08/0.34 cnf(c9, plain, % 0.08/0.34 ~c_in(X7,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)), % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.08/0.34 cnf(c10, plain, % 0.08/0.34 c_in(c_PropLog_Opl_Oop_A_N_62(X8,X9,X10),c_PropLog_Othms(X11,X10),tc_PropLog_Opl(X10)), % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.08/0.34 % 0.08/0.34 cnf(c11, axiom, % 0.08/0.34 ~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))). % 0.08/0.34 cnf(a9, assumption, % 0.08/0.34 c_PropLog_Opl_Oop_A_N_62(X8,X9,X10) = c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a)). % 0.08/0.34 cnf(a10, assumption, % 0.08/0.34 c_PropLog_Othms(X11,X10) = c_PropLog_Othms(v_H,t_a)). % 0.08/0.34 cnf(a11, assumption, % 0.08/0.34 tc_PropLog_Opl(X10) = tc_PropLog_Opl(t_a)). % 0.08/0.34 cnf(c12, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.08/0.34 cnf(c13, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.08/0.34 % 0.08/0.34 cnf(c14, axiom, % 0.08/0.34 c_in(X12,c_PropLog_Othms(X13,X14),tc_PropLog_Opl(X14)) | ~c_in(X12,X13,tc_PropLog_Opl(X14))). % 0.08/0.34 cnf(a12, assumption, % 0.08/0.34 X7 = X12). % 0.08/0.34 cnf(a13, assumption, % 0.08/0.34 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(X13,X14)). % 0.08/0.34 cnf(a14, assumption, % 0.08/0.34 tc_PropLog_Opl(X6) = tc_PropLog_Opl(X14)). % 0.08/0.34 cnf(c15, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.08/0.34 cnf(c16, plain, % 0.08/0.34 ~c_in(X12,X13,tc_PropLog_Opl(X14)), % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.08/0.34 % 0.08/0.34 cnf(c17, axiom, % 0.08/0.34 c_in(X15,c_insert(X15,X16,X17),X17)). % 0.08/0.34 cnf(a15, assumption, % 0.08/0.34 X12 = X15). % 0.08/0.34 cnf(a16, assumption, % 0.08/0.34 X13 = c_insert(X15,X16,X17)). % 0.08/0.34 cnf(a17, assumption, % 0.08/0.34 tc_PropLog_Opl(X14) = X17). % 0.08/0.34 cnf(c18, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.08/0.34 cnf(c19, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.08/0.34 % 0.08/0.34 cnf(c20, plain, % 0.08/0.34 $false, % 0.08/0.34 inference(constraint_solving, [ % 0.08/0.34 bind(X0, c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a)), % 0.08/0.34 bind(X1, v_p), % 0.08/0.34 bind(X2, v_H), % 0.08/0.34 bind(X3, t_a), % 0.08/0.34 bind(X4, v_q), % 0.08/0.34 bind(X5, c_insert(X1,X2,tc_PropLog_Opl(X3))), % 0.08/0.34 bind(X6, t_a), % 0.08/0.34 bind(X7, v_p), % 0.08/0.34 bind(X8, v_p), % 0.08/0.34 bind(X9, v_q), % 0.08/0.34 bind(X10, t_a), % 0.08/0.34 bind(X11, v_H), % 0.08/0.34 bind(X12, v_p), % 0.08/0.34 bind(X13, c_insert(X1,X2,tc_PropLog_Opl(X3))), % 0.08/0.34 bind(X14, t_a), % 0.08/0.34 bind(X15, v_p), % 0.08/0.34 bind(X16, v_H), % 0.08/0.34 bind(X17, tc_PropLog_Opl(X3)) % 0.08/0.34 ], % 0.08/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17])). % 0.08/0.34 % 0.08/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------