%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET865-2 : 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 : n013.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 02:48:52 EDT 2022 % Result : Unsatisfiable 0.20s 0.36s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET865-2 : TPTP v8.1.0. Released v3.2.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.34 % Computer : n013.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jul 9 17:33:59 EDT 2022 % 0.12/0.34 % CPUTime : % 0.20/0.36 % SZS status Unsatisfiable % 0.20/0.36 % SZS output begin IncompleteProof % 0.20/0.36 cnf(c0, axiom, % 0.20/0.36 ~c_in(X0,v_S,tc_set(t_a)) | c_lessequals(X0,v_x(X0),tc_set(t_a))). % 0.20/0.36 cnf(c1, plain, % 0.20/0.36 ~c_in(X0,v_S,tc_set(t_a)) | c_lessequals(X0,v_x(X0),tc_set(t_a)), % 0.20/0.36 inference(start, [], [c0])). % 0.20/0.36 % 0.20/0.36 cnf(c2, axiom, % 0.20/0.36 ~c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) | c_in(c_Union(X1,t_a),v_S,tc_set(t_a))). % 0.20/0.36 cnf(a0, assumption, % 0.20/0.36 X0 = c_Union(X1,t_a)). % 0.20/0.36 cnf(a1, assumption, % 0.20/0.36 v_S = v_S). % 0.20/0.36 cnf(a2, assumption, % 0.20/0.36 tc_set(t_a) = tc_set(t_a)). % 0.20/0.36 cnf(c3, plain, % 0.20/0.36 c_lessequals(X0,v_x(X0),tc_set(t_a)), % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.20/0.36 cnf(c4, plain, % 0.20/0.36 ~c_in(X1,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))), % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.20/0.36 % 0.20/0.36 cnf(c5, axiom, % 0.20/0.36 c_in(X2,X3,X4) | ~c_lessequals(X5,X3,tc_set(X4)) | ~c_in(X2,X5,X4)). % 0.20/0.36 cnf(a3, assumption, % 0.20/0.36 X1 = X2). % 0.20/0.36 cnf(a4, assumption, % 0.20/0.36 c_Zorn_Ochain(v_S,t_a) = X3). % 0.20/0.36 cnf(a5, assumption, % 0.20/0.36 tc_set(tc_set(t_a)) = X4). % 0.20/0.36 cnf(c6, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.20/0.36 cnf(c7, plain, % 0.20/0.36 ~c_lessequals(X5,X3,tc_set(X4)) | ~c_in(X2,X5,X4), % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 0.20/0.36 % 0.20/0.36 cnf(c8, axiom, % 0.20/0.36 c_lessequals(c_Zorn_Omaxchain(X6,X7),c_Zorn_Ochain(X6,X7),tc_set(tc_set(tc_set(X7))))). % 0.20/0.36 cnf(a6, assumption, % 0.20/0.36 X5 = c_Zorn_Omaxchain(X6,X7)). % 0.20/0.36 cnf(a7, assumption, % 0.20/0.36 X3 = c_Zorn_Ochain(X6,X7)). % 0.20/0.36 cnf(a8, assumption, % 0.20/0.36 tc_set(X4) = tc_set(tc_set(tc_set(X7)))). % 0.20/0.36 cnf(c9, plain, % 0.20/0.36 ~c_in(X2,X5,X4), % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.20/0.36 cnf(c10, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 0.20/0.36 % 0.20/0.36 cnf(c11, axiom, % 0.20/0.36 c_in(c_Zorn_OHausdorff__1(X8,X9),c_Zorn_Omaxchain(X8,X9),tc_set(tc_set(X9)))). % 0.20/0.36 cnf(a9, assumption, % 0.20/0.36 X2 = c_Zorn_OHausdorff__1(X8,X9)). % 0.20/0.36 cnf(a10, assumption, % 0.20/0.36 X5 = c_Zorn_Omaxchain(X8,X9)). % 0.20/0.36 cnf(a11, assumption, % 0.20/0.36 X4 = tc_set(tc_set(X9))). % 0.20/0.36 cnf(c12, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.20/0.36 cnf(c13, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])). % 0.20/0.36 % 0.20/0.36 cnf(c14, axiom, % 0.20/0.36 c_Union(X10,X11) = X12 | ~c_lessequals(c_Union(X10,X11),X12,tc_set(X11)) | ~c_in(X10,c_Zorn_Omaxchain(X13,X11),tc_set(tc_set(X11))) | ~c_in(X12,X13,tc_set(X11))). % 0.20/0.36 cnf(a12, assumption, % 0.20/0.36 X0 = c_Union(X10,X11)). % 0.20/0.36 cnf(a13, assumption, % 0.20/0.36 v_x(X0) = X12). % 0.20/0.36 cnf(a14, assumption, % 0.20/0.36 tc_set(t_a) = tc_set(X11)). % 0.20/0.36 cnf(c15, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c3, c14])). % 0.20/0.36 cnf(c16, plain, % 0.20/0.36 c_Union(X10,X11) = X12 | ~c_in(X10,c_Zorn_Omaxchain(X13,X11),tc_set(tc_set(X11))) | ~c_in(X12,X13,tc_set(X11)), % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c3, c14])). % 0.20/0.36 % 0.20/0.36 cnf(c17, axiom, % 0.20/0.36 ~c_in(X14,v_S,tc_set(t_a)) | v_x(X14) != X14). % 0.20/0.36 cnf(a15, assumption, % 0.20/0.36 v_x(X14) = X12). % 0.20/0.36 cnf(a16, assumption, % 0.20/0.36 c_Union(X10,X11) = X15). % 0.20/0.36 cnf(c18, plain, % 0.20/0.36 ~c_in(X10,c_Zorn_Omaxchain(X13,X11),tc_set(tc_set(X11))) | ~c_in(X12,X13,tc_set(X11)), % 0.20/0.36 inference(strict_subterm_extension, [assumptions([a15, a16])], [c16, c17])). % 0.20/0.36 cnf(c19, plain, % 0.20/0.36 ~c_in(X14,v_S,tc_set(t_a)), % 0.20/0.36 inference(strict_subterm_extension, [assumptions([a15, a16])], [c16, c17])). % 0.20/0.36 cnf(c20, plain, % 0.20/0.36 X15 != X14, % 0.20/0.36 inference(strict_subterm_extension, [assumptions([a15, a16])], [c16, c17])). % 0.20/0.36 % 0.20/0.36 cnf(a17, assumption, % 0.20/0.36 X15 = X14). % 0.20/0.36 cnf(c21, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(reflexivity, [assumptions([a17])], [c20])). % 0.20/0.36 % 0.20/0.36 cnf(c22, plain, % 0.20/0.36 c_in(X0,v_S,tc_set(t_a))). % 0.20/0.36 cnf(a18, assumption, % 0.20/0.36 X14 = X0). % 0.20/0.36 cnf(a19, assumption, % 0.20/0.36 v_S = v_S). % 0.20/0.36 cnf(a20, assumption, % 0.20/0.36 tc_set(t_a) = tc_set(t_a)). % 0.20/0.36 cnf(c23, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c19, c22])). % 0.20/0.36 % 0.20/0.36 cnf(c24, plain, % 0.20/0.36 c_in(X2,X5,X4)). % 0.20/0.36 cnf(a21, assumption, % 0.20/0.36 X10 = X2). % 0.20/0.36 cnf(a22, assumption, % 0.20/0.36 c_Zorn_Omaxchain(X13,X11) = X5). % 0.20/0.36 cnf(a23, assumption, % 0.20/0.36 tc_set(tc_set(X11)) = X4). % 0.20/0.36 cnf(c25, plain, % 0.20/0.36 ~c_in(X12,X13,tc_set(X11)), % 0.20/0.36 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c18, c24])). % 0.20/0.36 % 0.20/0.36 cnf(c26, axiom, % 0.20/0.36 ~c_in(X16,v_S,tc_set(t_a)) | c_in(v_x(X16),v_S,tc_set(t_a))). % 0.20/0.36 cnf(a24, assumption, % 0.20/0.36 X12 = v_x(X16)). % 0.20/0.36 cnf(a25, assumption, % 0.20/0.36 X13 = v_S). % 0.20/0.36 cnf(a26, assumption, % 0.20/0.36 tc_set(X11) = tc_set(t_a)). % 0.20/0.36 cnf(c27, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])). % 0.20/0.36 cnf(c28, plain, % 0.20/0.36 ~c_in(X16,v_S,tc_set(t_a)), % 0.20/0.36 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])). % 0.20/0.36 % 0.20/0.36 cnf(c29, plain, % 0.20/0.36 c_in(X0,v_S,tc_set(t_a))). % 0.20/0.36 cnf(a27, assumption, % 0.20/0.36 X16 = X0). % 0.20/0.36 cnf(a28, assumption, % 0.20/0.36 v_S = v_S). % 0.20/0.36 cnf(a29, assumption, % 0.20/0.36 tc_set(t_a) = tc_set(t_a)). % 0.20/0.36 cnf(c30, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c28, c29])). % 0.20/0.36 % 0.20/0.36 cnf(c31, plain, % 0.20/0.36 $false, % 0.20/0.36 inference(constraint_solving, [ % 0.20/0.36 bind(X0, c_Union(X1,t_a)), % 0.20/0.36 bind(X1, c_Zorn_OHausdorff__1(X8,X9)), % 0.20/0.36 bind(X2, c_Zorn_OHausdorff__1(X8,X9)), % 0.20/0.36 bind(X3, c_Zorn_Ochain(v_S,t_a)), % 0.20/0.36 bind(X4, tc_set(tc_set(t_a))), % 0.20/0.36 bind(X5, c_Zorn_Omaxchain(X6,X7)), % 0.20/0.36 bind(X6, v_S), % 0.20/0.36 bind(X7, t_a), % 0.20/0.36 bind(X8, v_S), % 0.20/0.36 bind(X9, t_a), % 0.20/0.36 bind(X10, c_Zorn_OHausdorff__1(X8,X9)), % 0.20/0.36 bind(X11, t_a), % 0.20/0.36 bind(X12, v_x(X0)), % 0.20/0.36 bind(X13, v_S), % 0.20/0.36 bind(X14, c_Union(X1,t_a)), % 0.20/0.36 bind(X15, c_Union(X10,X11)), % 0.20/0.36 bind(X16, c_Union(X1,t_a)) % 0.20/0.36 ], % 0.20/0.36 [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, a27, a28, a29])). % 0.20/0.36 % 0.20/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------