%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL443-2 : 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 0.13s 0.41s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL443-2 : 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 % 0.09/0.36 % Computer : n016.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Sat Sep 5 17:47:59 UTC 2026 % 0.13/0.36 % CPUTime : % 0.13/0.41 % SZS status Unsatisfiable % 0.13/0.41 % SZS output begin IncompleteProof % 0.13/0.41 cnf(c0, axiom, % 0.13/0.41 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.13/0.41 cnf(c1, plain, % 0.13/0.41 ~c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)), % 0.13/0.41 inference(start, [], [c0])). % 0.13/0.41 % 0.13/0.41 cnf(c2, axiom, % 0.13/0.41 c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)) | ~c_in(X1,c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))). % 0.13/0.41 cnf(a0, assumption, % 0.13/0.41 c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a) = c_PropLog_Opl_Oop_A_N_62(X0,X1,X2)). % 0.13/0.41 cnf(a1, assumption, % 0.13/0.41 c_PropLog_Othms(v_H,t_a) = c_PropLog_Othms(X3,X2)). % 0.13/0.41 cnf(a2, assumption, % 0.13/0.41 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X2)). % 0.13/0.41 cnf(c3, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.41 cnf(c4, plain, % 0.13/0.41 ~c_in(X1,c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.13/0.41 % 0.13/0.41 cnf(c5, axiom, % 0.13/0.41 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))). % 0.13/0.41 cnf(a3, assumption, % 0.13/0.41 X1 = X4). % 0.13/0.41 cnf(a4, assumption, % 0.13/0.41 c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),X2) = c_PropLog_Othms(X5,X6)). % 0.13/0.41 cnf(a5, assumption, % 0.13/0.41 tc_PropLog_Opl(X2) = tc_PropLog_Opl(X6)). % 0.13/0.41 cnf(c6, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.41 cnf(c7, plain, % 0.13/0.41 ~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)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.13/0.41 % 0.13/0.41 cnf(c8, axiom, % 0.13/0.41 c_in(X8,c_PropLog_Othms(c_insert(X9,X10,tc_PropLog_Opl(X11)),X11),tc_PropLog_Opl(X11)) | ~c_in(X8,c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11))). % 0.13/0.41 cnf(a6, assumption, % 0.13/0.41 c_PropLog_Opl_Oop_A_N_62(X7,X4,X6) = X8). % 0.13/0.41 cnf(a7, assumption, % 0.13/0.41 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(c_insert(X9,X10,tc_PropLog_Opl(X11)),X11)). % 0.13/0.41 cnf(a8, assumption, % 0.13/0.41 tc_PropLog_Opl(X6) = tc_PropLog_Opl(X11)). % 0.13/0.41 cnf(c9, plain, % 0.13/0.41 ~c_in(X7,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.13/0.41 cnf(c10, plain, % 0.13/0.41 ~c_in(X8,c_PropLog_Othms(X10,X11),tc_PropLog_Opl(X11)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.13/0.41 % 0.13/0.41 cnf(c11, axiom, % 0.13/0.41 c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.13/0.41 cnf(a9, assumption, % 0.13/0.41 X8 = c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a)). % 0.13/0.41 cnf(a10, assumption, % 0.13/0.41 c_PropLog_Othms(X10,X11) = c_PropLog_Othms(v_H,t_a)). % 0.13/0.41 cnf(a11, assumption, % 0.13/0.41 tc_PropLog_Opl(X11) = tc_PropLog_Opl(t_a)). % 0.13/0.41 cnf(c12, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.13/0.41 cnf(c13, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])). % 0.13/0.41 % 0.13/0.41 cnf(c14, axiom, % 0.13/0.41 c_in(X12,c_PropLog_Othms(X13,X14),tc_PropLog_Opl(X14)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(X15,X12,X14),c_PropLog_Othms(X13,X14),tc_PropLog_Opl(X14)) | ~c_in(X15,c_PropLog_Othms(X13,X14),tc_PropLog_Opl(X14))). % 0.13/0.41 cnf(a12, assumption, % 0.13/0.41 X7 = X12). % 0.13/0.41 cnf(a13, assumption, % 0.13/0.41 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(X13,X14)). % 0.13/0.41 cnf(a14, assumption, % 0.13/0.41 tc_PropLog_Opl(X6) = tc_PropLog_Opl(X14)). % 0.13/0.41 cnf(c15, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.13/0.41 cnf(c16, plain, % 0.13/0.41 ~c_in(c_PropLog_Opl_Oop_A_N_62(X15,X12,X14),c_PropLog_Othms(X13,X14),tc_PropLog_Opl(X14)) | ~c_in(X15,c_PropLog_Othms(X13,X14),tc_PropLog_Opl(X14)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c9, c14])). % 0.13/0.41 % 0.13/0.41 cnf(c17, axiom, % 0.13/0.41 c_in(X16,c_PropLog_Othms(X17,X18),tc_PropLog_Opl(X18)) | ~c_in(X16,X17,tc_PropLog_Opl(X18))). % 0.13/0.41 cnf(a15, assumption, % 0.13/0.41 c_PropLog_Opl_Oop_A_N_62(X15,X12,X14) = X16). % 0.13/0.41 cnf(a16, assumption, % 0.13/0.41 c_PropLog_Othms(X13,X14) = c_PropLog_Othms(X17,X18)). % 0.13/0.41 cnf(a17, assumption, % 0.13/0.41 tc_PropLog_Opl(X14) = tc_PropLog_Opl(X18)). % 0.13/0.41 cnf(c18, plain, % 0.13/0.41 ~c_in(X15,c_PropLog_Othms(X13,X14),tc_PropLog_Opl(X14)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.13/0.41 cnf(c19, plain, % 0.13/0.41 ~c_in(X16,X17,tc_PropLog_Opl(X18)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.13/0.41 % 0.13/0.41 cnf(c20, axiom, % 0.13/0.41 c_in(X19,c_insert(X19,X20,X21),X21)). % 0.13/0.41 cnf(a18, assumption, % 0.13/0.41 X16 = X19). % 0.13/0.41 cnf(a19, assumption, % 0.13/0.41 X17 = c_insert(X19,X20,X21)). % 0.13/0.41 cnf(a20, assumption, % 0.13/0.41 tc_PropLog_Opl(X18) = X21). % 0.13/0.41 cnf(c21, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 0.13/0.41 cnf(c22, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 0.13/0.41 % 0.13/0.41 cnf(c23, axiom, % 0.13/0.41 c_in(X22,c_PropLog_Othms(c_insert(X23,X24,tc_PropLog_Opl(X25)),X25),tc_PropLog_Opl(X25)) | ~c_in(X22,c_PropLog_Othms(X24,X25),tc_PropLog_Opl(X25))). % 0.13/0.41 cnf(a21, assumption, % 0.13/0.41 X15 = X22). % 0.13/0.41 cnf(a22, assumption, % 0.13/0.41 c_PropLog_Othms(X13,X14) = c_PropLog_Othms(c_insert(X23,X24,tc_PropLog_Opl(X25)),X25)). % 0.13/0.41 cnf(a23, assumption, % 0.13/0.41 tc_PropLog_Opl(X14) = tc_PropLog_Opl(X25)). % 0.13/0.41 cnf(c24, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c18, c23])). % 0.13/0.41 cnf(c25, plain, % 0.13/0.41 ~c_in(X22,c_PropLog_Othms(X24,X25),tc_PropLog_Opl(X25)), % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c18, c23])). % 0.13/0.41 % 0.13/0.41 cnf(c26, axiom, % 0.13/0.41 c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.13/0.41 cnf(a24, assumption, % 0.13/0.41 X22 = v_p). % 0.13/0.41 cnf(a25, assumption, % 0.13/0.41 c_PropLog_Othms(X24,X25) = c_PropLog_Othms(v_H,t_a)). % 0.13/0.41 cnf(a26, assumption, % 0.13/0.41 tc_PropLog_Opl(X25) = tc_PropLog_Opl(t_a)). % 0.13/0.41 cnf(c27, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])). % 0.13/0.41 cnf(c28, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])). % 0.13/0.41 % 0.13/0.41 cnf(c29, plain, % 0.13/0.41 $false, % 0.13/0.41 inference(constraint_solving, [ % 0.13/0.41 bind(X0, c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a)), % 0.13/0.41 bind(X1, c_PropLog_Opl_Ofalse), % 0.13/0.41 bind(X2, t_a), % 0.13/0.41 bind(X3, v_H), % 0.13/0.41 bind(X4, c_PropLog_Opl_Ofalse), % 0.13/0.41 bind(X5, c_insert(X0,X3,tc_PropLog_Opl(X2))), % 0.13/0.41 bind(X6, t_a), % 0.13/0.41 bind(X7, v_q), % 0.13/0.41 bind(X8, c_PropLog_Opl_Oop_A_N_62(X7,X4,X6)), % 0.13/0.41 bind(X9, c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a)), % 0.13/0.41 bind(X10, v_H), % 0.13/0.41 bind(X11, t_a), % 0.13/0.41 bind(X12, v_q), % 0.13/0.41 bind(X13, c_insert(X0,X3,tc_PropLog_Opl(X2))), % 0.13/0.41 bind(X14, t_a), % 0.13/0.41 bind(X15, v_p), % 0.13/0.41 bind(X16, c_PropLog_Opl_Oop_A_N_62(X15,X12,X14)), % 0.13/0.41 bind(X17, c_insert(X0,X3,tc_PropLog_Opl(X2))), % 0.13/0.41 bind(X18, t_a), % 0.13/0.41 bind(X19, c_PropLog_Opl_Oop_A_N_62(X15,X12,X14)), % 0.13/0.41 bind(X20, v_H), % 0.13/0.41 bind(X21, tc_PropLog_Opl(X2)), % 0.13/0.41 bind(X22, v_p), % 0.13/0.41 bind(X23, c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a)), % 0.13/0.41 bind(X24, v_H), % 0.13/0.41 bind(X25, t_a) % 0.13/0.41 ], % 0.13/0.41 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26])). % 0.13/0.41 % 0.13/0.41 % SZS output end IncompleteProof %------------------------------------------------------------------------------