%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL445-2 : 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 : n011.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 : LCL445-2 : 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 : n011.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 : Fri Sep 4 21:49:13 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(v_q,c_PropLog_Othms(c_insert(v_p,v_H,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(v_q,c_PropLog_Othms(c_insert(v_p,v_H,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(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))). % 0.10/0.38 cnf(a0, assumption, % 0.10/0.38 v_q = X1). % 0.10/0.38 cnf(a1, assumption, % 0.10/0.38 c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a) = c_PropLog_Othms(c_insert(X0,X3,tc_PropLog_Opl(X2)),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 $false, % 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(c_PropLog_Opl_Oop_A_N_62(X0,X1,X2),c_PropLog_Othms(X3,X2),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(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))). % 0.10/0.38 cnf(a3, assumption, % 0.10/0.38 c_PropLog_Opl_Oop_A_N_62(X0,X1,X2) = X7). % 0.10/0.38 cnf(a4, assumption, % 0.10/0.38 c_PropLog_Othms(X3,X2) = c_PropLog_Othms(X5,X6)). % 0.10/0.38 cnf(a5, assumption, % 0.10/0.38 tc_PropLog_Opl(X2) = tc_PropLog_Opl(X6)). % 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 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)), % 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(X8,c_PropLog_Othms(X9,X10),tc_PropLog_Opl(X10)) | ~c_in(c_PropLog_Opl_Oop_A_N_62(X11,X8,X10),c_PropLog_Othms(X9,X10),tc_PropLog_Opl(X10)) | ~c_in(X11,c_PropLog_Othms(X9,X10),tc_PropLog_Opl(X10))). % 0.10/0.38 cnf(a6, assumption, % 0.10/0.38 X4 = c_PropLog_Opl_Oop_A_N_62(X11,X8,X10)). % 0.10/0.38 cnf(a7, assumption, % 0.10/0.38 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(X9,X10)). % 0.10/0.38 cnf(a8, assumption, % 0.10/0.38 tc_PropLog_Opl(X6) = tc_PropLog_Opl(X10)). % 0.10/0.38 cnf(c9, plain, % 0.10/0.38 ~c_in(c_PropLog_Opl_Oop_A_N_62(X7,X4,X6),c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.10/0.38 cnf(c10, plain, % 0.10/0.38 c_in(X8,c_PropLog_Othms(X9,X10),tc_PropLog_Opl(X10)) | ~c_in(X11,c_PropLog_Othms(X9,X10),tc_PropLog_Opl(X10)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.10/0.38 % 0.10/0.38 cnf(c11, axiom, % 0.10/0.38 ~c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.10/0.38 cnf(a9, assumption, % 0.10/0.38 X8 = v_q). % 0.10/0.38 cnf(a10, assumption, % 0.10/0.38 c_PropLog_Othms(X9,X10) = c_PropLog_Othms(v_H,t_a)). % 0.10/0.38 cnf(a11, assumption, % 0.10/0.38 tc_PropLog_Opl(X10) = tc_PropLog_Opl(t_a)). % 0.10/0.38 cnf(c12, plain, % 0.10/0.38 ~c_in(X11,c_PropLog_Othms(X9,X10),tc_PropLog_Opl(X10)), % 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, axiom, % 0.10/0.38 c_in(c_PropLog_Opl_Oop_A_N_62(X12,X13,X14),c_PropLog_Othms(X15,X14),tc_PropLog_Opl(X14)) | ~c_in(X13,c_PropLog_Othms(c_insert(X12,X15,tc_PropLog_Opl(X14)),X14),tc_PropLog_Opl(X14))). % 0.10/0.38 cnf(a12, assumption, % 0.10/0.38 X11 = c_PropLog_Opl_Oop_A_N_62(X12,X13,X14)). % 0.10/0.38 cnf(a13, assumption, % 0.10/0.38 c_PropLog_Othms(X9,X10) = c_PropLog_Othms(X15,X14)). % 0.10/0.38 cnf(a14, assumption, % 0.10/0.38 tc_PropLog_Opl(X10) = tc_PropLog_Opl(X14)). % 0.10/0.38 cnf(c15, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c14])). % 0.10/0.38 cnf(c16, plain, % 0.10/0.38 ~c_in(X13,c_PropLog_Othms(c_insert(X12,X15,tc_PropLog_Opl(X14)),X14),tc_PropLog_Opl(X14)), % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c12, c14])). % 0.10/0.38 % 0.10/0.38 cnf(c17, axiom, % 0.10/0.38 c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))). % 0.10/0.38 cnf(a15, assumption, % 0.10/0.38 X13 = v_q). % 0.10/0.38 cnf(a16, assumption, % 0.10/0.38 c_PropLog_Othms(c_insert(X12,X15,tc_PropLog_Opl(X14)),X14) = c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a)). % 0.10/0.38 cnf(a17, assumption, % 0.10/0.38 tc_PropLog_Opl(X14) = tc_PropLog_Opl(t_a)). % 0.10/0.38 cnf(c18, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.10/0.38 cnf(c19, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 0.10/0.38 % 0.10/0.38 cnf(c20, axiom, % 0.10/0.38 c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X16,X17,X18),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X16,c_PropLog_Opl_Ofalse,X18),X17,X18),X17,X18),X18),c_PropLog_Othms(X19,X18),tc_PropLog_Opl(X18))). % 0.10/0.38 cnf(a18, assumption, % 0.10/0.38 c_PropLog_Opl_Oop_A_N_62(X7,X4,X6) = c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X16,X17,X18),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X16,c_PropLog_Opl_Ofalse,X18),X17,X18),X17,X18),X18)). % 0.10/0.38 cnf(a19, assumption, % 0.10/0.38 c_PropLog_Othms(X5,X6) = c_PropLog_Othms(X19,X18)). % 0.10/0.38 cnf(a20, assumption, % 0.10/0.38 tc_PropLog_Opl(X6) = tc_PropLog_Opl(X18)). % 0.10/0.38 cnf(c21, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c9, c20])). % 0.10/0.38 cnf(c22, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c9, c20])). % 0.10/0.38 % 0.10/0.38 cnf(c23, plain, % 0.10/0.38 $false, % 0.10/0.38 inference(constraint_solving, [ % 0.10/0.38 bind(X0, v_p), % 0.10/0.38 bind(X1, v_q), % 0.10/0.38 bind(X2, t_a), % 0.10/0.38 bind(X3, v_H), % 0.10/0.38 bind(X4, c_PropLog_Opl_Oop_A_N_62(X11,X8,X10)), % 0.10/0.38 bind(X5, v_H), % 0.10/0.38 bind(X6, t_a), % 0.10/0.38 bind(X7, c_PropLog_Opl_Oop_A_N_62(X0,X1,X2)), % 0.10/0.38 bind(X8, v_q), % 0.10/0.38 bind(X9, v_H), % 0.10/0.38 bind(X10, t_a), % 0.10/0.38 bind(X11, c_PropLog_Opl_Oop_A_N_62(X12,X13,X14)), % 0.10/0.38 bind(X12, c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a)), % 0.10/0.38 bind(X13, v_q), % 0.10/0.38 bind(X14, t_a), % 0.10/0.38 bind(X15, v_H), % 0.10/0.38 bind(X16, v_p), % 0.10/0.38 bind(X17, v_q), % 0.10/0.38 bind(X18, t_a), % 0.10/0.38 bind(X19, v_H) % 0.10/0.38 ], % 0.10/0.38 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.10/0.38 % 0.10/0.38 % SZS output end IncompleteProof %------------------------------------------------------------------------------