%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n021.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 : Thu Jul 21 21:31:27 EDT 2022 % Result : Unsatisfiable 0.21s 0.47s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : TOP001-2 : TPTP v8.1.0. Released v1.0.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.35 % Computer : n021.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Sun May 29 14:05:58 EDT 2022 % 0.13/0.35 % CPUTime : % 0.21/0.47 % SZS status Unsatisfiable % 0.21/0.47 % SZS output begin IncompleteProof % 0.21/0.47 cnf(c0, axiom, % 0.21/0.47 basis(cx,f)). % 0.21/0.47 cnf(c1, plain, % 0.21/0.47 basis(cx,f), % 0.21/0.47 inference(start, [], [c0])). % 0.21/0.47 % 0.21/0.47 cnf(c2, axiom, % 0.21/0.47 equal_sets(union_of_members(X0),X1) | ~basis(X1,X0)). % 0.21/0.47 cnf(a0, assumption, % 0.21/0.47 cx = X1). % 0.21/0.47 cnf(a1, assumption, % 0.21/0.47 f = X0). % 0.21/0.47 cnf(c3, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.47 cnf(c4, plain, % 0.21/0.47 equal_sets(union_of_members(X0),X1), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 0.21/0.47 % 0.21/0.47 cnf(c5, axiom, % 0.21/0.47 subset_sets(X2,X3) | ~equal_sets(X2,X3)). % 0.21/0.47 cnf(a2, assumption, % 0.21/0.47 union_of_members(X0) = X2). % 0.21/0.47 cnf(a3, assumption, % 0.21/0.47 X1 = X3). % 0.21/0.47 cnf(c6, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.47 cnf(c7, plain, % 0.21/0.47 subset_sets(X2,X3), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 0.21/0.47 % 0.21/0.47 cnf(c8, axiom, % 0.21/0.47 element_of_set(X4,X5) | ~element_of_set(X4,X6) | ~subset_sets(X6,X5)). % 0.21/0.47 cnf(a4, assumption, % 0.21/0.47 X2 = X6). % 0.21/0.47 cnf(a5, assumption, % 0.21/0.47 X3 = X5). % 0.21/0.47 cnf(c9, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.21/0.47 cnf(c10, plain, % 0.21/0.47 element_of_set(X4,X5) | ~element_of_set(X4,X6), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 0.21/0.47 % 0.21/0.47 cnf(c11, axiom, % 0.21/0.47 ~element_of_set(in_1st_set(X7,X8),X8) | subset_sets(X7,X8)). % 0.21/0.47 cnf(a6, assumption, % 0.21/0.47 X4 = in_1st_set(X7,X8)). % 0.21/0.47 cnf(a7, assumption, % 0.21/0.47 X5 = X8). % 0.21/0.47 cnf(c12, plain, % 0.21/0.47 ~element_of_set(X4,X6), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 0.21/0.47 cnf(c13, plain, % 0.21/0.47 subset_sets(X7,X8), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 0.21/0.47 % 0.21/0.47 cnf(c14, axiom, % 0.21/0.47 ~subset_sets(union_of_members(top_of_basis(f)),cx)). % 0.21/0.47 cnf(a8, assumption, % 0.21/0.47 X7 = union_of_members(top_of_basis(f))). % 0.21/0.47 cnf(a9, assumption, % 0.21/0.47 X8 = cx). % 0.21/0.47 cnf(c15, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 0.21/0.47 cnf(c16, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 0.21/0.47 % 0.21/0.47 cnf(c17, axiom, % 0.21/0.47 ~element_of_collection(X9,X10) | ~element_of_set(X11,X9) | element_of_set(X11,union_of_members(X10))). % 0.21/0.47 cnf(a10, assumption, % 0.21/0.47 X4 = X11). % 0.21/0.47 cnf(a11, assumption, % 0.21/0.47 X6 = union_of_members(X10)). % 0.21/0.47 cnf(c18, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c17])). % 0.21/0.47 cnf(c19, plain, % 0.21/0.47 ~element_of_collection(X9,X10) | ~element_of_set(X11,X9), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a10, a11])], [c12, c17])). % 0.21/0.47 % 0.21/0.47 cnf(c20, axiom, % 0.21/0.47 element_of_collection(f10(X12,X13,X14),X12) | ~element_of_set(X14,X13) | ~element_of_collection(X13,top_of_basis(X12))). % 0.21/0.47 cnf(a12, assumption, % 0.21/0.47 X9 = f10(X12,X13,X14)). % 0.21/0.47 cnf(a13, assumption, % 0.21/0.47 X10 = X12). % 0.21/0.47 cnf(c21, plain, % 0.21/0.47 ~element_of_set(X11,X9), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 0.21/0.47 cnf(c22, plain, % 0.21/0.47 ~element_of_set(X14,X13) | ~element_of_collection(X13,top_of_basis(X12)), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a12, a13])], [c19, c20])). % 0.21/0.47 % 0.21/0.47 cnf(c23, axiom, % 0.21/0.47 element_of_set(X15,f1(X16,X15)) | ~element_of_set(X15,union_of_members(X16))). % 0.21/0.47 cnf(a14, assumption, % 0.21/0.47 X14 = X15). % 0.21/0.47 cnf(a15, assumption, % 0.21/0.47 X13 = f1(X16,X15)). % 0.21/0.47 cnf(c24, plain, % 0.21/0.47 ~element_of_collection(X13,top_of_basis(X12)), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 0.21/0.47 cnf(c25, plain, % 0.21/0.47 ~element_of_set(X15,union_of_members(X16)), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a14, a15])], [c22, c23])). % 0.21/0.47 % 0.21/0.47 cnf(c26, axiom, % 0.21/0.47 element_of_set(in_1st_set(X17,X18),X17) | subset_sets(X17,X18)). % 0.21/0.47 cnf(a16, assumption, % 0.21/0.47 X15 = in_1st_set(X17,X18)). % 0.21/0.47 cnf(a17, assumption, % 0.21/0.47 union_of_members(X16) = X17). % 0.21/0.47 cnf(c27, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 0.21/0.47 cnf(c28, plain, % 0.21/0.47 subset_sets(X17,X18), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a16, a17])], [c25, c26])). % 0.21/0.47 % 0.21/0.47 cnf(c29, plain, % 0.21/0.47 ~subset_sets(X7,X8)). % 0.21/0.47 cnf(a18, assumption, % 0.21/0.47 X17 = X7). % 0.21/0.47 cnf(a19, assumption, % 0.21/0.47 X18 = X8). % 0.21/0.47 cnf(c30, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(predicate_reduction, [assumptions([a18, a19])], [c28, c29])). % 0.21/0.47 % 0.21/0.47 cnf(c31, axiom, % 0.21/0.47 element_of_collection(f1(X19,X20),X19) | ~element_of_set(X20,union_of_members(X19))). % 0.21/0.47 cnf(a20, assumption, % 0.21/0.47 X13 = f1(X19,X20)). % 0.21/0.47 cnf(a21, assumption, % 0.21/0.47 top_of_basis(X12) = X19). % 0.21/0.47 cnf(c32, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a20, a21])], [c24, c31])). % 0.21/0.47 cnf(c33, plain, % 0.21/0.47 ~element_of_set(X20,union_of_members(X19)), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a20, a21])], [c24, c31])). % 0.21/0.47 % 0.21/0.47 cnf(c34, plain, % 0.21/0.47 element_of_set(X15,union_of_members(X16))). % 0.21/0.47 cnf(a22, assumption, % 0.21/0.47 X20 = X15). % 0.21/0.47 cnf(a23, assumption, % 0.21/0.47 union_of_members(X19) = union_of_members(X16)). % 0.21/0.47 cnf(c35, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(predicate_reduction, [assumptions([a22, a23])], [c33, c34])). % 0.21/0.47 % 0.21/0.47 cnf(c36, axiom, % 0.21/0.47 element_of_set(X21,f10(X22,X23,X21)) | ~element_of_set(X21,X23) | ~element_of_collection(X23,top_of_basis(X22))). % 0.21/0.47 cnf(a24, assumption, % 0.21/0.47 X11 = X21). % 0.21/0.47 cnf(a25, assumption, % 0.21/0.47 X9 = f10(X22,X23,X21)). % 0.21/0.47 cnf(c37, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a24, a25])], [c21, c36])). % 0.21/0.47 cnf(c38, plain, % 0.21/0.47 ~element_of_set(X21,X23) | ~element_of_collection(X23,top_of_basis(X22)), % 0.21/0.47 inference(strict_predicate_extension, [assumptions([a24, a25])], [c21, c36])). % 0.21/0.47 % 0.21/0.47 cnf(c39, plain, % 0.21/0.47 element_of_set(X14,X13)). % 0.21/0.47 cnf(a26, assumption, % 0.21/0.47 X21 = X14). % 0.21/0.47 cnf(a27, assumption, % 0.21/0.47 X23 = X13). % 0.21/0.47 cnf(c40, plain, % 0.21/0.47 ~element_of_collection(X23,top_of_basis(X22)), % 0.21/0.47 inference(predicate_reduction, [assumptions([a26, a27])], [c38, c39])). % 0.21/0.47 % 0.21/0.47 cnf(c41, plain, % 0.21/0.47 element_of_collection(X13,top_of_basis(X12))). % 0.21/0.47 cnf(a28, assumption, % 0.21/0.47 X23 = X13). % 0.21/0.47 cnf(a29, assumption, % 0.21/0.47 top_of_basis(X22) = top_of_basis(X12)). % 0.21/0.47 cnf(c42, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(predicate_reduction, [assumptions([a28, a29])], [c40, c41])). % 0.21/0.47 % 0.21/0.47 cnf(c43, plain, % 0.21/0.47 $false, % 0.21/0.47 inference(constraint_solving, [ % 0.21/0.47 bind(X0, f), % 0.21/0.47 bind(X1, cx), % 0.21/0.47 bind(X2, union_of_members(X0)), % 0.21/0.47 bind(X3, cx), % 0.21/0.47 bind(X4, in_1st_set(X7,X8)), % 0.21/0.47 bind(X5, cx), % 0.21/0.47 bind(X6, union_of_members(X0)), % 0.21/0.47 bind(X7, union_of_members(top_of_basis(f))), % 0.21/0.47 bind(X8, cx), % 0.21/0.47 bind(X9, f10(X12,X13,X14)), % 0.21/0.47 bind(X10, f), % 0.21/0.47 bind(X11, in_1st_set(X7,X8)), % 0.21/0.47 bind(X12, f), % 0.21/0.47 bind(X13, f1(X16,X15)), % 0.21/0.47 bind(X14, in_1st_set(X17,X18)), % 0.21/0.47 bind(X15, in_1st_set(X17,X18)), % 0.21/0.47 bind(X16, top_of_basis(f)), % 0.21/0.47 bind(X17, union_of_members(X16)), % 0.21/0.47 bind(X18, cx), % 0.21/0.47 bind(X19, top_of_basis(f)), % 0.21/0.47 bind(X20, in_1st_set(X17,X18)), % 0.21/0.47 bind(X21, in_1st_set(X7,X8)), % 0.21/0.47 bind(X22, f), % 0.21/0.47 bind(X23, f1(X16,X15)) % 0.21/0.47 ], % 0.21/0.47 [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])). % 0.21/0.47 % 0.21/0.47 % SZS output end IncompleteProof %------------------------------------------------------------------------------