%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET864-2 : TPTP v8.1.0. 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 02:48:51 EDT 2022 % Result : Unsatisfiable 0.12s 0.34s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n005.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 02:23:22 EDT 2022 % 0.12/0.33 % CPUTime : % 0.12/0.34 % SZS status Unsatisfiable % 0.12/0.34 % SZS output begin IncompleteProof % 0.12/0.34 cnf(c0, axiom, % 0.12/0.34 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))). % 0.12/0.34 cnf(c1, plain, % 0.12/0.34 c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))), % 0.12/0.34 inference(start, [], [c0])). % 0.12/0.34 % 0.12/0.34 cnf(c2, axiom, % 0.12/0.34 c_Union(X0,X1) = X2 | ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | ~c_in(X0,c_Zorn_Omaxchain(X3,X1),tc_set(tc_set(X1))) | ~c_in(X2,X3,tc_set(X1))). % 0.12/0.34 cnf(a0, assumption, % 0.12/0.34 v_c = X0). % 0.12/0.34 cnf(a1, assumption, % 0.12/0.34 c_Zorn_Omaxchain(v_S,t_a) = c_Zorn_Omaxchain(X3,X1)). % 0.12/0.34 cnf(a2, assumption, % 0.12/0.34 tc_set(tc_set(t_a)) = tc_set(tc_set(X1))). % 0.12/0.34 cnf(c3, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.34 cnf(c4, plain, % 0.12/0.34 c_Union(X0,X1) = X2 | ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | ~c_in(X2,X3,tc_set(X1)), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.12/0.34 % 0.12/0.34 cnf(c5, axiom, % 0.12/0.34 ~c_in(X4,v_S,tc_set(t_a)) | v_x(X4) != X4). % 0.12/0.34 cnf(a3, assumption, % 0.12/0.34 v_x(X4) = X2). % 0.12/0.34 cnf(a4, assumption, % 0.12/0.34 c_Union(X0,X1) = X5). % 0.12/0.34 cnf(c6, plain, % 0.12/0.34 ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | ~c_in(X2,X3,tc_set(X1)), % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c5])). % 0.12/0.34 cnf(c7, plain, % 0.12/0.34 ~c_in(X4,v_S,tc_set(t_a)), % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c5])). % 0.12/0.34 cnf(c8, plain, % 0.12/0.34 X5 != X4, % 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c5])). % 0.12/0.34 % 0.12/0.34 cnf(a5, assumption, % 0.12/0.34 X5 = X4). % 0.12/0.34 cnf(c9, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(reflexivity, [assumptions([a5])], [c8])). % 0.12/0.34 % 0.12/0.34 cnf(c10, axiom, % 0.12/0.34 c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))). % 0.12/0.34 cnf(a6, assumption, % 0.12/0.34 X4 = c_Union(v_c,t_a)). % 0.12/0.34 cnf(a7, assumption, % 0.12/0.34 v_S = v_S). % 0.12/0.34 cnf(a8, assumption, % 0.12/0.34 tc_set(t_a) = tc_set(t_a)). % 0.12/0.34 cnf(c11, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c10])). % 0.12/0.34 cnf(c12, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c10])). % 0.12/0.34 % 0.12/0.34 cnf(c13, axiom, % 0.12/0.34 ~c_in(X6,v_S,tc_set(t_a)) | c_lessequals(X6,v_x(X6),tc_set(t_a))). % 0.12/0.34 cnf(a9, assumption, % 0.12/0.34 c_Union(X0,X1) = X6). % 0.12/0.34 cnf(a10, assumption, % 0.12/0.34 X2 = v_x(X6)). % 0.12/0.34 cnf(a11, assumption, % 0.12/0.34 tc_set(X1) = tc_set(t_a)). % 0.12/0.34 cnf(c14, plain, % 0.12/0.34 ~c_in(X2,X3,tc_set(X1)), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c13])). % 0.12/0.34 cnf(c15, plain, % 0.12/0.34 ~c_in(X6,v_S,tc_set(t_a)), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c13])). % 0.12/0.34 % 0.12/0.34 cnf(c16, plain, % 0.12/0.34 c_in(X4,v_S,tc_set(t_a))). % 0.12/0.34 cnf(a12, assumption, % 0.12/0.34 X6 = X4). % 0.12/0.34 cnf(a13, assumption, % 0.12/0.34 v_S = v_S). % 0.12/0.34 cnf(a14, assumption, % 0.12/0.34 tc_set(t_a) = tc_set(t_a)). % 0.12/0.34 cnf(c17, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a12, a13, a14])], [c15, c16])). % 0.12/0.34 % 0.12/0.34 cnf(c18, axiom, % 0.12/0.34 ~c_in(X7,v_S,tc_set(t_a)) | c_in(v_x(X7),v_S,tc_set(t_a))). % 0.12/0.34 cnf(a15, assumption, % 0.12/0.34 X2 = v_x(X7)). % 0.12/0.34 cnf(a16, assumption, % 0.12/0.34 X3 = v_S). % 0.12/0.34 cnf(a17, assumption, % 0.12/0.34 tc_set(X1) = tc_set(t_a)). % 0.12/0.34 cnf(c19, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c14, c18])). % 0.12/0.34 cnf(c20, plain, % 0.12/0.34 ~c_in(X7,v_S,tc_set(t_a)), % 0.12/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c14, c18])). % 0.12/0.34 % 0.12/0.34 cnf(c21, plain, % 0.12/0.34 c_in(X4,v_S,tc_set(t_a))). % 0.12/0.34 cnf(a18, assumption, % 0.12/0.34 X7 = X4). % 0.12/0.34 cnf(a19, assumption, % 0.12/0.34 v_S = v_S). % 0.12/0.34 cnf(a20, assumption, % 0.12/0.34 tc_set(t_a) = tc_set(t_a)). % 0.12/0.34 cnf(c22, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c20, c21])). % 0.12/0.34 % 0.12/0.34 cnf(c23, plain, % 0.12/0.34 $false, % 0.12/0.34 inference(constraint_solving, [ % 0.12/0.34 bind(X0, v_c), % 0.12/0.34 bind(X1, t_a), % 0.12/0.34 bind(X2, v_x(X4)), % 0.12/0.34 bind(X3, v_S), % 0.12/0.34 bind(X4, c_Union(X0,X1)), % 0.12/0.34 bind(X5, c_Union(X0,X1)), % 0.12/0.34 bind(X6, c_Union(X0,X1)), % 0.12/0.34 bind(X7, c_Union(X0,X1)) % 0.12/0.34 ], % 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 0.12/0.34 % 0.12/0.34 % SZS output end IncompleteProof %------------------------------------------------------------------------------