%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL433-2 : 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 : n005.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 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL433-2 : 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 % 0.09/0.34 % Computer : n005.cluster.edu % 0.09/0.34 % Model : x86_64 x86_64 % 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.34 % Memory : 8046.5625MB % 0.09/0.34 % OS : Linux 6.8.0-71-generic % 0.09/0.34 % CPULimit : 300 % 0.09/0.34 % WCLimit : 300 % 0.09/0.34 % DateTime : Sat Sep 5 09:10:05 UTC 2026 % 0.09/0.34 % CPUTime : % 0.09/0.35 % SZS status Unsatisfiable % 0.09/0.35 % SZS output begin IncompleteProof % 0.09/0.35 cnf(c0, axiom, % 0.09/0.35 c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a)). % 0.09/0.35 cnf(c1, plain, % 0.09/0.35 c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a), % 0.09/0.35 inference(start, [], [c0])). % 0.09/0.35 % 0.09/0.35 cnf(c2, axiom, % 0.09/0.35 c_PropLog_Osat(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3) | ~c_PropLog_Osat(c_insert(X1,X0,tc_PropLog_Opl(X3)),X2,X3)). % 0.09/0.35 cnf(a0, assumption, % 0.09/0.35 c_insert(v_x,v_F,tc_PropLog_Opl(t_a)) = c_insert(X1,X0,tc_PropLog_Opl(X3))). % 0.09/0.35 cnf(a1, assumption, % 0.09/0.35 v_xa = X2). % 0.09/0.35 cnf(a2, assumption, % 0.09/0.35 t_a = X3). % 0.09/0.35 cnf(c3, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.09/0.35 cnf(c4, plain, % 0.09/0.35 c_PropLog_Osat(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.09/0.35 % 0.09/0.35 cnf(c5, axiom, % 0.09/0.35 ~c_PropLog_Osat(v_F,X4,t_a) | c_in(X4,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))). % 0.09/0.35 cnf(a3, assumption, % 0.09/0.35 X0 = v_F). % 0.09/0.35 cnf(a4, assumption, % 0.09/0.35 c_PropLog_Opl_Oop_A_N_62(X1,X2,X3) = X4). % 0.09/0.35 cnf(a5, assumption, % 0.09/0.35 X3 = t_a). % 0.09/0.35 cnf(c6, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.09/0.35 cnf(c7, plain, % 0.09/0.35 c_in(X4,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.09/0.35 % 0.09/0.35 cnf(c8, axiom, % 0.09/0.35 c_in(X5,c_PropLog_Othms(c_insert(X6,X7,tc_PropLog_Opl(X8)),X8),tc_PropLog_Opl(X8)) | ~c_in(X5,c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8))). % 0.09/0.35 cnf(a6, assumption, % 0.09/0.35 X4 = X5). % 0.09/0.35 cnf(a7, assumption, % 0.09/0.35 c_PropLog_Othms(v_F,t_a) = c_PropLog_Othms(X7,X8)). % 0.09/0.35 cnf(a8, assumption, % 0.09/0.35 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X8)). % 0.09/0.35 cnf(c9, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.09/0.35 cnf(c10, plain, % 0.09/0.35 c_in(X5,c_PropLog_Othms(c_insert(X6,X7,tc_PropLog_Opl(X8)),X8),tc_PropLog_Opl(X8)), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.09/0.35 % 0.09/0.35 cnf(c11, axiom, % 0.09/0.35 c_in(X9,c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(X12,X9,X11),c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11)) | ~c_in(X12,c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11))). % 0.09/0.35 cnf(a9, assumption, % 0.09/0.35 X5 = c_PropLog_Opl_Oop_A_N_62(X12,X9,X11)). % 0.09/0.35 cnf(a10, assumption, % 0.09/0.35 c_PropLog_Othms(c_insert(X6,X7,tc_PropLog_Opl(X8)),X8) = c_PropLog_Othms(X10,X11)). % 0.09/0.35 cnf(a11, assumption, % 0.09/0.35 tc_PropLog_Opl(X8) = tc_PropLog_Opl(X11)). % 0.09/0.35 cnf(c12, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.09/0.35 cnf(c13, plain, % 0.09/0.35 c_in(X9,c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11)) | ~c_in(X12,c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11)), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.09/0.35 % 0.09/0.35 cnf(c14, axiom, % 0.09/0.35 ~c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))). % 0.09/0.35 cnf(a12, assumption, % 0.09/0.35 X9 = v_xa). % 0.09/0.35 cnf(a13, assumption, % 0.09/0.35 c_PropLog_Othms(X10,X11) = c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a)). % 0.09/0.35 cnf(a14, assumption, % 0.09/0.35 tc_PropLog_Opl(X11) = tc_PropLog_Opl(t_a)). % 0.09/0.35 cnf(c15, plain, % 0.09/0.35 ~c_in(X12,c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11)), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 0.09/0.35 cnf(c16, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 0.09/0.35 % 0.09/0.35 cnf(c17, axiom, % 0.09/0.35 c_in(X13,c_PropLog_Othms(X14,X15),tc_PropLog_Opl(X15)) | ~c_in(X13,X14,tc_PropLog_Opl(X15))). % 0.09/0.35 cnf(a15, assumption, % 0.09/0.35 X12 = X13). % 0.09/0.35 cnf(a16, assumption, % 0.09/0.35 c_PropLog_Othms(X10,X11) = c_PropLog_Othms(X14,X15)). % 0.09/0.35 cnf(a17, assumption, % 0.09/0.35 tc_PropLog_Opl(X11) = tc_PropLog_Opl(X15)). % 0.09/0.35 cnf(c18, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 0.09/0.35 cnf(c19, plain, % 0.09/0.35 ~c_in(X13,X14,tc_PropLog_Opl(X15)), % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])). % 0.09/0.35 % 0.09/0.35 cnf(c20, axiom, % 0.09/0.35 c_in(X16,c_insert(X16,X17,X18),X18)). % 0.09/0.35 cnf(a18, assumption, % 0.09/0.35 X13 = X16). % 0.09/0.35 cnf(a19, assumption, % 0.09/0.35 X14 = c_insert(X16,X17,X18)). % 0.09/0.35 cnf(a20, assumption, % 0.09/0.35 tc_PropLog_Opl(X15) = X18). % 0.09/0.35 cnf(c21, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 0.09/0.35 cnf(c22, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 0.09/0.35 % 0.09/0.35 cnf(c23, plain, % 0.09/0.35 $false, % 0.09/0.35 inference(constraint_solving, [ % 0.09/0.35 bind(X0, v_F), % 0.09/0.35 bind(X1, v_x), % 0.09/0.35 bind(X2, v_xa), % 0.09/0.35 bind(X3, t_a), % 0.09/0.35 bind(X4, c_PropLog_Opl_Oop_A_N_62(X1,X2,X3)), % 0.09/0.35 bind(X5, c_PropLog_Opl_Oop_A_N_62(X1,X2,X3)), % 0.09/0.35 bind(X6, v_x), % 0.09/0.35 bind(X7, v_F), % 0.09/0.35 bind(X8, t_a), % 0.09/0.35 bind(X9, v_xa), % 0.09/0.35 bind(X10, c_insert(X6,X7,tc_PropLog_Opl(X8))), % 0.09/0.35 bind(X11, t_a), % 0.09/0.35 bind(X12, v_x), % 0.09/0.35 bind(X13, v_x), % 0.09/0.35 bind(X14, c_insert(X6,X7,tc_PropLog_Opl(X8))), % 0.09/0.35 bind(X15, t_a), % 0.09/0.35 bind(X16, v_x), % 0.09/0.35 bind(X17, v_F), % 0.09/0.35 bind(X18, tc_PropLog_Opl(X8)) % 0.09/0.35 ], % 0.09/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.09/0.35 % 0.09/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------