%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : TOP005-2 : 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 : n020.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 21:31:28 EDT 2022 % Result : Unsatisfiable 3.42s 0.80s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : TOP005-2 : TPTP v8.1.0. Released v1.0.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun May 29 12:27:09 EDT 2022 % 0.13/0.34 % CPUTime : % 3.42/0.80 % SZS status Unsatisfiable % 3.42/0.80 % SZS output begin IncompleteProof % 3.42/0.80 cnf(c0, axiom, % 3.42/0.80 ~element_of_collection(union_of_members(g),top_of_basis(f))). % 3.42/0.80 cnf(c1, plain, % 3.42/0.80 ~element_of_collection(union_of_members(g),top_of_basis(f)), % 3.42/0.80 inference(start, [], [c0])). % 3.42/0.80 % 3.42/0.80 cnf(c2, axiom, % 3.42/0.80 element_of_set(f11(X0,X1),X1) | element_of_collection(X1,top_of_basis(X0))). % 3.42/0.80 cnf(a0, assumption, % 3.42/0.80 union_of_members(g) = X1). % 3.42/0.80 cnf(a1, assumption, % 3.42/0.80 top_of_basis(f) = top_of_basis(X0)). % 3.42/0.80 cnf(c3, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 3.42/0.80 cnf(c4, plain, % 3.42/0.80 element_of_set(f11(X0,X1),X1), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 3.42/0.80 % 3.42/0.80 cnf(c5, axiom, % 3.42/0.80 element_of_set(X2,f1(X3,X2)) | ~element_of_set(X2,union_of_members(X3))). % 3.42/0.80 cnf(a2, assumption, % 3.42/0.80 f11(X0,X1) = X2). % 3.42/0.80 cnf(a3, assumption, % 3.42/0.80 X1 = union_of_members(X3)). % 3.42/0.80 cnf(c6, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 3.42/0.80 cnf(c7, plain, % 3.42/0.80 element_of_set(X2,f1(X3,X2)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])). % 3.42/0.80 % 3.42/0.80 cnf(c8, axiom, % 3.42/0.80 element_of_set(X4,f10(X5,X6,X4)) | ~element_of_set(X4,X6) | ~element_of_collection(X6,top_of_basis(X5))). % 3.42/0.80 cnf(a4, assumption, % 3.42/0.80 X2 = X4). % 3.42/0.80 cnf(a5, assumption, % 3.42/0.80 f1(X3,X2) = X6). % 3.42/0.80 cnf(c9, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 3.42/0.80 cnf(c10, plain, % 3.42/0.80 element_of_set(X4,f10(X5,X6,X4)) | ~element_of_collection(X6,top_of_basis(X5)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])). % 3.42/0.80 % 3.42/0.80 cnf(c11, axiom, % 3.42/0.80 ~subset_sets(X7,X8) | ~element_of_collection(X7,X9) | ~element_of_set(f11(X9,X8),X7) | element_of_collection(X8,top_of_basis(X9))). % 3.42/0.80 cnf(a6, assumption, % 3.42/0.80 X4 = f11(X9,X8)). % 3.42/0.80 cnf(a7, assumption, % 3.42/0.80 f10(X5,X6,X4) = X7). % 3.42/0.80 cnf(c12, plain, % 3.42/0.80 ~element_of_collection(X6,top_of_basis(X5)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 3.42/0.80 cnf(c13, plain, % 3.42/0.80 ~subset_sets(X7,X8) | ~element_of_collection(X7,X9) | element_of_collection(X8,top_of_basis(X9)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])). % 3.42/0.80 % 3.42/0.80 cnf(c14, axiom, % 3.42/0.80 subset_sets(X10,union_of_members(X11)) | ~element_of_collection(X12,X11) | ~subset_sets(X10,X12)). % 3.42/0.80 cnf(a8, assumption, % 3.42/0.80 X7 = X10). % 3.42/0.80 cnf(a9, assumption, % 3.42/0.80 X8 = union_of_members(X11)). % 3.42/0.80 cnf(c15, plain, % 3.42/0.80 ~element_of_collection(X7,X9) | element_of_collection(X8,top_of_basis(X9)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 3.42/0.80 cnf(c16, plain, % 3.42/0.80 ~element_of_collection(X12,X11) | ~subset_sets(X10,X12), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a8, a9])], [c13, c14])). % 3.42/0.80 % 3.42/0.80 cnf(c17, axiom, % 3.42/0.80 element_of_collection(f1(X13,X14),X13) | ~element_of_set(X14,union_of_members(X13))). % 3.42/0.80 cnf(a10, assumption, % 3.42/0.80 X12 = f1(X13,X14)). % 3.42/0.80 cnf(a11, assumption, % 3.42/0.80 X11 = X13). % 3.42/0.80 cnf(c18, plain, % 3.42/0.80 ~subset_sets(X10,X12), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 3.42/0.80 cnf(c19, plain, % 3.42/0.80 ~element_of_set(X14,union_of_members(X13)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a10, a11])], [c16, c17])). % 3.42/0.80 % 3.42/0.80 cnf(c20, plain, % 3.42/0.80 element_of_set(f11(X0,X1),X1)). % 3.42/0.80 cnf(a12, assumption, % 3.42/0.80 X14 = f11(X0,X1)). % 3.42/0.80 cnf(a13, assumption, % 3.42/0.80 union_of_members(X13) = X1). % 3.42/0.80 cnf(c21, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(predicate_reduction, [assumptions([a12, a13])], [c19, c20])). % 3.42/0.80 % 3.42/0.80 cnf(c22, axiom, % 3.42/0.80 subset_sets(f10(X15,X16,X17),X16) | ~element_of_set(X17,X16) | ~element_of_collection(X16,top_of_basis(X15))). % 3.42/0.80 cnf(a14, assumption, % 3.42/0.80 X10 = f10(X15,X16,X17)). % 3.42/0.80 cnf(a15, assumption, % 3.42/0.80 X12 = X16). % 3.42/0.80 cnf(c23, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a14, a15])], [c18, c22])). % 3.42/0.80 cnf(c24, plain, % 3.42/0.80 ~element_of_set(X17,X16) | ~element_of_collection(X16,top_of_basis(X15)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a14, a15])], [c18, c22])). % 3.42/0.80 % 3.42/0.80 cnf(c25, plain, % 3.42/0.80 element_of_set(X2,f1(X3,X2))). % 3.42/0.80 cnf(a16, assumption, % 3.42/0.80 X17 = X2). % 3.42/0.80 cnf(a17, assumption, % 3.42/0.80 X16 = f1(X3,X2)). % 3.42/0.80 cnf(c26, plain, % 3.42/0.80 ~element_of_collection(X16,top_of_basis(X15)), % 3.42/0.80 inference(predicate_reduction, [assumptions([a16, a17])], [c24, c25])). % 3.42/0.80 % 3.42/0.80 cnf(c27, axiom, % 3.42/0.80 element_of_collection(X18,X19) | ~element_of_collection(X18,X20) | ~subset_collections(X20,X19)). % 3.42/0.80 cnf(a18, assumption, % 3.42/0.80 X16 = X18). % 3.42/0.80 cnf(a19, assumption, % 3.42/0.80 top_of_basis(X15) = X19). % 3.42/0.80 cnf(c28, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c27])). % 3.42/0.80 cnf(c29, plain, % 3.42/0.80 ~element_of_collection(X18,X20) | ~subset_collections(X20,X19), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c27])). % 3.42/0.80 % 3.42/0.80 cnf(c30, plain, % 3.42/0.80 element_of_collection(X12,X11)). % 3.42/0.80 cnf(a20, assumption, % 3.42/0.80 X18 = X12). % 3.42/0.80 cnf(a21, assumption, % 3.42/0.80 X20 = X11). % 3.42/0.80 cnf(c31, plain, % 3.42/0.80 ~subset_collections(X20,X19), % 3.42/0.80 inference(predicate_reduction, [assumptions([a20, a21])], [c29, c30])). % 3.42/0.80 % 3.42/0.80 cnf(c32, axiom, % 3.42/0.80 subset_collections(g,top_of_basis(f))). % 3.42/0.80 cnf(a22, assumption, % 3.42/0.80 X20 = g). % 3.42/0.80 cnf(a23, assumption, % 3.42/0.80 X19 = top_of_basis(f)). % 3.42/0.80 cnf(c33, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a22, a23])], [c31, c32])). % 3.42/0.80 cnf(c34, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a22, a23])], [c31, c32])). % 3.42/0.80 % 3.42/0.80 cnf(c35, axiom, % 3.42/0.80 element_of_collection(f10(X21,X22,X23),X21) | ~element_of_set(X23,X22) | ~element_of_collection(X22,top_of_basis(X21))). % 3.42/0.80 cnf(a24, assumption, % 3.42/0.80 X7 = f10(X21,X22,X23)). % 3.42/0.80 cnf(a25, assumption, % 3.42/0.80 X9 = X21). % 3.42/0.80 cnf(c36, plain, % 3.42/0.80 element_of_collection(X8,top_of_basis(X9)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a24, a25])], [c15, c35])). % 3.42/0.80 cnf(c37, plain, % 3.42/0.80 ~element_of_set(X23,X22) | ~element_of_collection(X22,top_of_basis(X21)), % 3.42/0.80 inference(strict_predicate_extension, [assumptions([a24, a25])], [c15, c35])). % 3.42/0.80 % 3.42/0.80 cnf(c38, plain, % 3.42/0.80 element_of_set(X2,f1(X3,X2))). % 3.42/0.80 cnf(a26, assumption, % 3.42/0.80 X23 = X2). % 3.42/0.80 cnf(a27, assumption, % 3.42/0.80 X22 = f1(X3,X2)). % 3.42/0.80 cnf(c39, plain, % 3.42/0.80 ~element_of_collection(X22,top_of_basis(X21)), % 3.42/0.80 inference(predicate_reduction, [assumptions([a26, a27])], [c37, c38])). % 3.42/0.80 % 3.42/0.80 cnf(c40, plain, % 3.42/0.80 element_of_collection(X16,top_of_basis(X15))). % 3.42/0.80 cnf(a28, assumption, % 3.42/0.80 X22 = X16). % 3.42/0.80 cnf(a29, assumption, % 3.42/0.80 top_of_basis(X21) = top_of_basis(X15)). % 3.42/0.80 cnf(c41, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(predicate_reduction, [assumptions([a28, a29])], [c39, c40])). % 3.42/0.80 % 3.42/0.80 cnf(c42, plain, % 3.42/0.80 ~element_of_collection(union_of_members(g),top_of_basis(f))). % 3.42/0.80 cnf(a30, assumption, % 3.42/0.80 X8 = union_of_members(g)). % 3.42/0.80 cnf(a31, assumption, % 3.42/0.80 top_of_basis(X9) = top_of_basis(f)). % 3.42/0.80 cnf(c43, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(predicate_reduction, [assumptions([a30, a31])], [c36, c42])). % 3.42/0.80 % 3.42/0.80 cnf(c44, plain, % 3.42/0.80 element_of_collection(X16,top_of_basis(X15))). % 3.42/0.80 cnf(a32, assumption, % 3.42/0.80 X6 = X16). % 3.42/0.80 cnf(a33, assumption, % 3.42/0.80 top_of_basis(X5) = top_of_basis(X15)). % 3.42/0.80 cnf(c45, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(predicate_reduction, [assumptions([a32, a33])], [c12, c44])). % 3.42/0.80 % 3.42/0.80 cnf(c46, plain, % 3.42/0.80 $false, % 3.42/0.80 inference(constraint_solving, [ % 3.42/0.80 bind(X0, f), % 3.42/0.80 bind(X1, union_of_members(g)), % 3.42/0.80 bind(X2, f11(X0,X1)), % 3.42/0.80 bind(X3, g), % 3.42/0.80 bind(X4, f11(X0,X1)), % 3.42/0.80 bind(X5, f), % 3.42/0.80 bind(X6, f1(X3,X2)), % 3.42/0.80 bind(X7, f10(X5,X6,X4)), % 3.42/0.80 bind(X8, union_of_members(g)), % 3.42/0.80 bind(X9, f), % 3.42/0.80 bind(X10, f10(X5,X6,X4)), % 3.42/0.80 bind(X11, g), % 3.42/0.80 bind(X12, f1(X13,X14)), % 3.42/0.80 bind(X13, g), % 3.42/0.80 bind(X14, f11(X0,X1)), % 3.42/0.80 bind(X15, f), % 3.42/0.80 bind(X16, f1(X3,X2)), % 3.42/0.80 bind(X17, f11(X0,X1)), % 3.42/0.80 bind(X18, f1(X3,X2)), % 3.42/0.80 bind(X19, top_of_basis(X15)), % 3.42/0.80 bind(X20, g), % 3.42/0.80 bind(X21, f), % 3.42/0.80 bind(X22, f1(X3,X2)), % 3.42/0.80 bind(X23, f11(X0,X1)) % 3.42/0.80 ], % 3.42/0.80 [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, a30, a31, a32, a33])). % 3.42/0.80 % 3.42/0.80 % SZS output end IncompleteProof %------------------------------------------------------------------------------