TSTP Solution File: TOP001-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------