%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL434-2 : 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 : n031.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 0.14s 0.37s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL434-2 : 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 % 0.07/0.35 % Computer : n031.cluster.edu % 0.07/0.35 % Model : x86_64 x86_64 % 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.35 % Memory : 8046.5625MB % 0.07/0.35 % OS : Linux 6.8.0-71-generic % 0.07/0.35 % CPULimit : 300 % 0.07/0.35 % WCLimit : 300 % 0.07/0.35 % DateTime : Sun Sep 6 01:33:25 UTC 2026 % 0.07/0.35 % CPUTime : % 0.14/0.37 % SZS status Unsatisfiable % 0.14/0.37 % SZS output begin IncompleteProof % 0.14/0.37 cnf(c0, axiom, % 0.14/0.37 c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a))). % 0.14/0.37 cnf(c1, plain, % 0.14/0.37 c_in(v_pa,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)), % 0.14/0.37 inference(start, [], [c0])). % 0.14/0.37 % 0.14/0.37 cnf(c2, axiom, % 0.14/0.37 X0 = X1 | c_in(X0,X2,X3) | ~c_in(X0,c_insert(X1,X2,X3),X3)). % 0.14/0.37 cnf(a0, assumption, % 0.14/0.37 v_pa = X0). % 0.14/0.37 cnf(a1, assumption, % 0.14/0.37 c_insert(v_p,v_H,tc_PropLog_Opl(t_a)) = c_insert(X1,X2,X3)). % 0.14/0.37 cnf(a2, assumption, % 0.14/0.37 tc_PropLog_Opl(t_a) = X3). % 0.14/0.37 cnf(c3, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.14/0.37 cnf(c4, plain, % 0.14/0.37 X0 = X1 | c_in(X0,X2,X3), % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.14/0.37 % 0.14/0.37 cnf(c5, axiom, % 0.14/0.37 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.14/0.37 cnf(a3, assumption, % 0.14/0.37 v_p = X1). % 0.14/0.37 cnf(c6, plain, % 0.14/0.37 c_in(X0,X2,X3), % 0.14/0.37 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])). % 0.14/0.37 cnf(c7, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])). % 0.14/0.37 cnf(c8, plain, % 0.14/0.37 ~c_in(c_PropLog_Opl_Oop_A_N_62(X0,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)), % 0.14/0.37 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])). % 0.14/0.37 % 0.14/0.37 cnf(c9, axiom, % 0.14/0.37 c_in(c_PropLog_Opl_Oop_A_N_62(X4,X4,X5),c_PropLog_Othms(X6,X5),tc_PropLog_Opl(X5))). % 0.14/0.37 cnf(a4, assumption, % 0.14/0.37 c_PropLog_Opl_Oop_A_N_62(X0,v_pa,t_a) = c_PropLog_Opl_Oop_A_N_62(X4,X4,X5)). % 0.14/0.37 cnf(a5, assumption, % 0.14/0.37 c_PropLog_Othms(v_H,t_a) = c_PropLog_Othms(X6,X5)). % 0.14/0.37 cnf(a6, assumption, % 0.14/0.37 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X5)). % 0.14/0.37 cnf(c10, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c8, c9])). % 0.14/0.37 cnf(c11, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c8, c9])). % 0.14/0.37 % 0.14/0.37 cnf(c12, axiom, % 0.14/0.37 c_in(X7,c_PropLog_Othms(X8,X9),tc_PropLog_Opl(X9)) | ~c_in(X7,X8,tc_PropLog_Opl(X9))). % 0.14/0.37 cnf(a7, assumption, % 0.14/0.37 X0 = X7). % 0.14/0.37 cnf(a8, assumption, % 0.14/0.37 X2 = X8). % 0.14/0.37 cnf(a9, assumption, % 0.14/0.37 X3 = tc_PropLog_Opl(X9)). % 0.14/0.37 cnf(c13, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c6, c12])). % 0.14/0.37 cnf(c14, plain, % 0.14/0.37 c_in(X7,c_PropLog_Othms(X8,X9),tc_PropLog_Opl(X9)), % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c6, c12])). % 0.14/0.37 % 0.14/0.37 cnf(c15, axiom, % 0.14/0.37 c_in(c_PropLog_Opl_Oop_A_N_62(X10,X11,X12),c_PropLog_Othms(X13,X12),tc_PropLog_Opl(X12)) | ~c_in(X11,c_PropLog_Othms(X13,X12),tc_PropLog_Opl(X12))). % 0.14/0.37 cnf(a10, assumption, % 0.14/0.37 X7 = X11). % 0.14/0.37 cnf(a11, assumption, % 0.14/0.37 c_PropLog_Othms(X8,X9) = c_PropLog_Othms(X13,X12)). % 0.14/0.37 cnf(a12, assumption, % 0.14/0.37 tc_PropLog_Opl(X9) = tc_PropLog_Opl(X12)). % 0.14/0.37 cnf(c16, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c14, c15])). % 0.14/0.37 cnf(c17, plain, % 0.14/0.37 c_in(c_PropLog_Opl_Oop_A_N_62(X10,X11,X12),c_PropLog_Othms(X13,X12),tc_PropLog_Opl(X12)), % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c14, c15])). % 0.14/0.37 % 0.14/0.37 cnf(c18, axiom, % 0.14/0.37 ~c_in(c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))). % 0.14/0.37 cnf(a13, assumption, % 0.14/0.37 c_PropLog_Opl_Oop_A_N_62(X10,X11,X12) = c_PropLog_Opl_Oop_A_N_62(v_p,v_pa,t_a)). % 0.14/0.37 cnf(a14, assumption, % 0.14/0.37 c_PropLog_Othms(X13,X12) = c_PropLog_Othms(v_H,t_a)). % 0.14/0.37 cnf(a15, assumption, % 0.14/0.37 tc_PropLog_Opl(X12) = tc_PropLog_Opl(t_a)). % 0.14/0.37 cnf(c19, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c17, c18])). % 0.14/0.37 cnf(c20, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c17, c18])). % 0.14/0.37 % 0.14/0.37 cnf(c21, plain, % 0.14/0.37 $false, % 0.14/0.37 inference(constraint_solving, [ % 0.14/0.37 bind(X0, v_pa), % 0.14/0.37 bind(X1, v_p), % 0.14/0.37 bind(X2, v_H), % 0.14/0.37 bind(X3, tc_PropLog_Opl(t_a)), % 0.14/0.37 bind(X4, v_pa), % 0.14/0.37 bind(X5, t_a), % 0.14/0.37 bind(X6, v_H), % 0.14/0.37 bind(X7, v_pa), % 0.14/0.37 bind(X8, v_H), % 0.14/0.37 bind(X9, t_a), % 0.14/0.37 bind(X10, v_p), % 0.14/0.37 bind(X11, v_pa), % 0.14/0.37 bind(X12, t_a), % 0.14/0.37 bind(X13, v_H) % 0.14/0.37 ], % 0.14/0.37 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15])). % 0.14/0.37 % 0.14/0.37 % SZS output end IncompleteProof %------------------------------------------------------------------------------