TSTP Solution File: ALG211+1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n029.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 14 17:20:49 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG211+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n029.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 : Wed Jun 8 06:45:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % SZS status Theorem
% 0.13/0.35 % SZS output begin IncompleteProof
% 0.13/0.35 cnf(c0, axiom,
% 0.13/0.35 a_vector_subspace_of(sK2,sK3)).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 a_vector_subspace_of(sK2,sK3),
% 0.13/0.35 inference(start, [], [c0])).
% 0.13/0.35
% 0.13/0.35 cnf(c2, axiom,
% 0.13/0.35 lin_ind_subset(X0,X1) | ~lin_ind_subset(X0,X2) | ~a_subset_of(X0,vec_to_class(X2)) | ~a_vector_subspace_of(X2,X1)).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 sK2 = X2).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 sK3 = X1).
% 0.13/0.35 cnf(c3, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.13/0.35 cnf(c4, plain,
% 0.13/0.35 lin_ind_subset(X0,X1) | ~lin_ind_subset(X0,X2) | ~a_subset_of(X0,vec_to_class(X2)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])).
% 0.13/0.35
% 0.13/0.35 cnf(c5, axiom,
% 0.13/0.35 basis_of(union(X3,sK0(X3,X4,X5)),X5) | ~basis_of(X4,X5) | ~lin_ind_subset(X3,X5)).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 X0 = X3).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 X1 = X5).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 ~lin_ind_subset(X0,X2) | ~a_subset_of(X0,vec_to_class(X2)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.13/0.35 cnf(c7, plain,
% 0.13/0.35 basis_of(union(X3,sK0(X3,X4,X5)),X5) | ~basis_of(X4,X5),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a2, a3])], [c4, c5])).
% 0.13/0.35
% 0.13/0.35 cnf(c8, axiom,
% 0.13/0.35 ~basis_of(X6,sK2) | ~basis_of(union(X6,X7),sK3)).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 union(X3,sK0(X3,X4,X5)) = union(X6,X7)).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 X5 = sK3).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 ~basis_of(X4,X5),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 ~basis_of(X6,sK2),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a4, a5])], [c7, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(c11, axiom,
% 0.13/0.35 basis_of(sK1(X8),X8) | ~a_vector_space(X8)).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 X6 = sK1(X8)).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 sK2 = X8).
% 0.13/0.35 cnf(c12, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.13/0.35 cnf(c13, plain,
% 0.13/0.35 ~a_vector_space(X8),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7])], [c10, c11])).
% 0.13/0.35
% 0.13/0.35 cnf(c14, axiom,
% 0.13/0.35 a_vector_space(X9) | ~a_vector_subspace_of(X9,X10)).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 X8 = X9).
% 0.13/0.35 cnf(c15, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8])], [c13, c14])).
% 0.13/0.35 cnf(c16, plain,
% 0.13/0.35 ~a_vector_subspace_of(X9,X10),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a8])], [c13, c14])).
% 0.13/0.35
% 0.13/0.35 cnf(c17, plain,
% 0.13/0.35 a_vector_subspace_of(sK2,sK3)).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 X9 = sK2).
% 0.13/0.35 cnf(a10, assumption,
% 0.13/0.35 X10 = sK3).
% 0.13/0.35 cnf(c18, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(predicate_reduction, [assumptions([a9, a10])], [c16, c17])).
% 0.13/0.35
% 0.13/0.35 cnf(c19, axiom,
% 0.13/0.35 basis_of(sK1(X11),X11) | ~a_vector_space(X11)).
% 0.13/0.35 cnf(a11, assumption,
% 0.13/0.35 X4 = sK1(X11)).
% 0.13/0.35 cnf(a12, assumption,
% 0.13/0.35 X5 = X11).
% 0.13/0.35 cnf(c20, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11, a12])], [c9, c19])).
% 0.13/0.35 cnf(c21, plain,
% 0.13/0.35 ~a_vector_space(X11),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a11, a12])], [c9, c19])).
% 0.13/0.35
% 0.13/0.35 cnf(c22, axiom,
% 0.13/0.35 a_vector_space(sK3)).
% 0.13/0.35 cnf(a13, assumption,
% 0.13/0.35 X11 = sK3).
% 0.13/0.35 cnf(c23, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a13])], [c21, c22])).
% 0.13/0.35 cnf(c24, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a13])], [c21, c22])).
% 0.13/0.35
% 0.13/0.35 cnf(c25, axiom,
% 0.13/0.35 lin_ind_subset(X12,X13) | ~basis_of(X12,X13)).
% 0.13/0.36 cnf(a14, assumption,
% 0.13/0.36 X0 = X12).
% 0.13/0.36 cnf(a15, assumption,
% 0.13/0.36 X2 = X13).
% 0.13/0.36 cnf(c26, plain,
% 0.13/0.36 ~a_subset_of(X0,vec_to_class(X2)),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a14, a15])], [c6, c25])).
% 0.13/0.36 cnf(c27, plain,
% 0.13/0.36 ~basis_of(X12,X13),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a14, a15])], [c6, c25])).
% 0.13/0.36
% 0.13/0.36 cnf(c28, plain,
% 0.13/0.36 basis_of(X6,sK2)).
% 0.13/0.36 cnf(a16, assumption,
% 0.13/0.36 X12 = X6).
% 0.13/0.36 cnf(a17, assumption,
% 0.13/0.36 X13 = sK2).
% 0.13/0.36 cnf(c29, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(predicate_reduction, [assumptions([a16, a17])], [c27, c28])).
% 0.13/0.36
% 0.13/0.36 cnf(c30, axiom,
% 0.13/0.36 a_subset_of(X14,vec_to_class(X15)) | ~basis_of(X14,X15)).
% 0.13/0.36 cnf(a18, assumption,
% 0.13/0.36 X0 = X14).
% 0.13/0.36 cnf(a19, assumption,
% 0.13/0.36 vec_to_class(X2) = vec_to_class(X15)).
% 0.13/0.36 cnf(c31, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c30])).
% 0.13/0.36 cnf(c32, plain,
% 0.13/0.36 ~basis_of(X14,X15),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a18, a19])], [c26, c30])).
% 0.13/0.36
% 0.13/0.36 cnf(c33, plain,
% 0.13/0.36 basis_of(X6,sK2)).
% 0.13/0.36 cnf(a20, assumption,
% 0.13/0.36 X14 = X6).
% 0.13/0.36 cnf(a21, assumption,
% 0.13/0.36 X15 = sK2).
% 0.13/0.36 cnf(c34, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(predicate_reduction, [assumptions([a20, a21])], [c32, c33])).
% 0.13/0.36
% 0.13/0.36 cnf(c35, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(constraint_solving, [
% 0.13/0.36 bind(X0, sK1(X8)),
% 0.13/0.36 bind(X1, sK3),
% 0.13/0.36 bind(X2, sK2),
% 0.13/0.36 bind(X3, sK1(X8)),
% 0.13/0.36 bind(X4, sK1(X11)),
% 0.13/0.36 bind(X5, sK3),
% 0.13/0.36 bind(X6, sK1(X8)),
% 0.13/0.36 bind(X7, sK0(X3,X4,X5)),
% 0.13/0.36 bind(X8, sK2),
% 0.13/0.36 bind(X9, sK2),
% 0.13/0.36 bind(X10, sK3),
% 0.13/0.36 bind(X11, sK3),
% 0.13/0.36 bind(X12, sK1(X8)),
% 0.13/0.36 bind(X13, sK2),
% 0.13/0.36 bind(X14, sK1(X8)),
% 0.13/0.36 bind(X15, sK2)
% 0.13/0.36 ],
% 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21])).
% 0.13/0.36
% 0.13/0.36 % SZS output end IncompleteProof
%------------------------------------------------------------------------------