TSTP Solution File: ALG211+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : ALG211+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n028.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 : 300s
% DateTime : Fri May 19 10:08:13 EDT 2023
% Result : Theorem 0.31s 1.37s
% Output : Proof 0.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG211+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 23:31:33 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.31/1.37
% 0.31/1.37 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.31/1.37 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.37 %-----------------------------------------------------
% 0.31/1.37 ncf(matrix, plain, [(58 ^ _14657) ^ [] : [-(a_vector_subspace_of(55 ^ [], 56 ^ []))], (60 ^ _14657) ^ [] : [-(a_vector_space(56 ^ []))], (62 ^ _14657) ^ [_16797, _16799] : [basis_of(union(_16799, _16797), 56 ^ []), basis_of(_16799, 55 ^ [])], (2 ^ _14657) ^ [_14770, _14772] : [basis_of(_14772, _14770), 5 ^ _14657 : [(6 ^ _14657) ^ [] : [-(lin_ind_subset(_14772, _14770))], (8 ^ _14657) ^ [] : [-(a_subset_of(_14772, vec_to_class(_14770)))]]], (10 ^ _14657) ^ [_15073, _15075, _15077] : [18 ^ _14657 : [(19 ^ _14657) ^ [] : [-(a_subset_of(17 ^ [_15073, _15075, _15077], _15075))], (21 ^ _14657) ^ [] : [-(basis_of(union(_15077, 17 ^ [_15073, _15075, _15077]), _15073))]], lin_ind_subset(_15077, _15073), basis_of(_15075, _15073)], (23 ^ _14657) ^ [_15532] : [a_vector_space(_15532), -(basis_of(26 ^ [_15532], _15532))], (30 ^ _14657) ^ [_15785, _15787] : [a_vector_subspace_of(_15787, _15785), -(a_vector_space(_15787))], (36 ^ _14657) ^ [_15987, _15989, _15991] : [a_vector_subspace_of(_15991, _15989), a_subset_of(_15987, vec_to_class(_15991)), 43 ^ _14657 : [(44 ^ _14657) ^ [] : [lin_ind_subset(_15987, _15991), -(lin_ind_subset(_15987, _15989))], (50 ^ _14657) ^ [] : [lin_ind_subset(_15987, _15989), -(lin_ind_subset(_15987, _15991))]]]], input).
% 0.31/1.37 ncf('1',plain,[basis_of(union(26 ^ [55 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 26 ^ [56 ^ []]]), 26 ^ [55 ^ []]]), 56 ^ []), basis_of(26 ^ [55 ^ []], 55 ^ [])],start(62 ^ 0,bind([[_16797, _16799], [17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 26 ^ [56 ^ []]]), 26 ^ [55 ^ []]], 26 ^ [55 ^ []]]]))).
% 0.31/1.37 ncf('1.1',plain,[-(basis_of(union(26 ^ [55 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 26 ^ [56 ^ []]]), 26 ^ [55 ^ []]]), 56 ^ [])), lin_ind_subset(26 ^ [55 ^ []], 56 ^ []), basis_of(union(26 ^ [56 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 26 ^ [56 ^ []]]), 56 ^ [])],extension(10 ^ 1,bind([[_15073, _15075, _15077], [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 26 ^ [56 ^ []]]), 26 ^ [55 ^ []]]]))).
% 0.31/1.37 ncf('1.1.1',plain,[-(lin_ind_subset(26 ^ [55 ^ []], 56 ^ [])), 44 : lin_ind_subset(26 ^ [55 ^ []], 55 ^ []), 44 : a_vector_subspace_of(55 ^ [], 56 ^ []), 44 : a_subset_of(26 ^ [55 ^ []], vec_to_class(55 ^ []))],extension(36 ^ 2,bind([[_15987, _15989, _15991], [26 ^ [55 ^ []], 56 ^ [], 55 ^ []]]))).
% 0.31/1.37 ncf('1.1.1.1',plain,[-(lin_ind_subset(26 ^ [55 ^ []], 55 ^ [])), basis_of(26 ^ [55 ^ []], 55 ^ [])],extension(2 ^ 5,bind([[_14770, _14772], [55 ^ [], 26 ^ [55 ^ []]]]))).
% 0.31/1.37 ncf('1.1.1.1.1',plain,[-(basis_of(26 ^ [55 ^ []], 55 ^ [])), a_vector_space(55 ^ [])],extension(23 ^ 6,bind([[_15532], [55 ^ []]]))).
% 0.31/1.37 ncf('1.1.1.1.1.1',plain,[-(a_vector_space(55 ^ [])), a_vector_subspace_of(55 ^ [], 56 ^ [])],extension(30 ^ 7,bind([[_15785, _15787], [56 ^ [], 55 ^ []]]))).
% 0.31/1.37 ncf('1.1.1.1.1.1.1',plain,[-(a_vector_subspace_of(55 ^ [], 56 ^ []))],extension(58 ^ 8)).
% 0.31/1.37 ncf('1.1.1.2',plain,[-(a_vector_subspace_of(55 ^ [], 56 ^ []))],extension(58 ^ 3)).
% 0.31/1.37 ncf('1.1.1.3',plain,[-(a_subset_of(26 ^ [55 ^ []], vec_to_class(55 ^ []))), basis_of(26 ^ [55 ^ []], 55 ^ [])],extension(2 ^ 3,bind([[_14770, _14772], [55 ^ [], 26 ^ [55 ^ []]]]))).
% 0.31/1.37 ncf('1.1.1.3.1',plain,[-(basis_of(26 ^ [55 ^ []], 55 ^ [])), a_vector_space(55 ^ [])],extension(23 ^ 4,bind([[_15532], [55 ^ []]]))).
% 0.31/1.37 ncf('1.1.1.3.1.1',plain,[-(a_vector_space(55 ^ [])), a_vector_subspace_of(55 ^ [], 56 ^ [])],extension(30 ^ 5,bind([[_15785, _15787], [56 ^ [], 55 ^ []]]))).
% 0.31/1.37 ncf('1.1.1.3.1.1.1',plain,[-(a_vector_subspace_of(55 ^ [], 56 ^ []))],extension(58 ^ 6)).
% 0.31/1.37 ncf('1.1.2',plain,[-(basis_of(union(26 ^ [56 ^ []], 17 ^ [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 26 ^ [56 ^ []]]), 56 ^ [])), lin_ind_subset(26 ^ [56 ^ []], 56 ^ []), basis_of(union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 56 ^ [])],extension(10 ^ 2,bind([[_15073, _15075, _15077], [56 ^ [], union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 26 ^ [56 ^ []]]]))).
% 0.31/1.37 ncf('1.1.2.1',plain,[-(lin_ind_subset(26 ^ [56 ^ []], 56 ^ [])), basis_of(26 ^ [56 ^ []], 56 ^ [])],extension(2 ^ 3,bind([[_14770, _14772], [56 ^ [], 26 ^ [56 ^ []]]]))).
% 0.31/1.37 ncf('1.1.2.1.1',plain,[-(basis_of(26 ^ [56 ^ []], 56 ^ [])), a_vector_space(56 ^ [])],extension(23 ^ 4,bind([[_15532], [56 ^ []]]))).
% 0.31/1.37 ncf('1.1.2.1.1.1',plain,[-(a_vector_space(56 ^ []))],extension(60 ^ 5)).
% 0.31/1.37 ncf('1.1.2.2',plain,[-(basis_of(union(26 ^ [56 ^ []], 17 ^ [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]), 56 ^ [])), lin_ind_subset(26 ^ [56 ^ []], 56 ^ []), basis_of(26 ^ [56 ^ []], 56 ^ [])],extension(10 ^ 3,bind([[_15073, _15075, _15077], [56 ^ [], 26 ^ [56 ^ []], 26 ^ [56 ^ []]]]))).
% 0.31/1.37 ncf('1.1.2.2.1',plain,[-(lin_ind_subset(26 ^ [56 ^ []], 56 ^ [])), basis_of(26 ^ [56 ^ []], 56 ^ [])],extension(2 ^ 4,bind([[_14770, _14772], [56 ^ [], 26 ^ [56 ^ []]]]))).
% 0.31/1.37 ncf('1.1.2.2.1.1',plain,[-(basis_of(26 ^ [56 ^ []], 56 ^ [])), a_vector_space(56 ^ [])],extension(23 ^ 5,bind([[_15532], [56 ^ []]]))).
% 0.31/1.37 ncf('1.1.2.2.1.1.1',plain,[-(a_vector_space(56 ^ []))],extension(60 ^ 6)).
% 0.31/1.37 ncf('1.1.2.2.2',plain,[-(basis_of(26 ^ [56 ^ []], 56 ^ [])), a_vector_space(56 ^ [])],extension(23 ^ 4,bind([[_15532], [56 ^ []]]))).
% 0.31/1.37 ncf('1.1.2.2.2.1',plain,[-(a_vector_space(56 ^ []))],extension(60 ^ 5)).
% 0.31/1.37 ncf('1.2',plain,[-(basis_of(26 ^ [55 ^ []], 55 ^ [])), a_vector_space(55 ^ [])],extension(23 ^ 1,bind([[_15532], [55 ^ []]]))).
% 0.31/1.37 ncf('1.2.1',plain,[-(a_vector_space(55 ^ [])), a_vector_subspace_of(55 ^ [], 56 ^ [])],extension(30 ^ 2,bind([[_15785, _15787], [56 ^ [], 55 ^ []]]))).
% 0.31/1.37 ncf('1.2.1.1',plain,[-(a_vector_subspace_of(55 ^ [], 56 ^ []))],extension(58 ^ 3)).
% 0.31/1.37 %-----------------------------------------------------
% 0.31/1.37 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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