TSTP Solution File: ALG214+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 : Wed Jul 27 12:46:19 EDT 2022
% Result : Unknown 3.35s 3.51s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 03:48:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 2.19/2.36 ----- Otter 3.3f, August 2004 -----
% 2.19/2.36 The process was started by sandbox on n019.cluster.edu,
% 2.19/2.36 Wed Jul 27 03:48:07 2022
% 2.19/2.36 The command was "./otter". The process ID is 19853.
% 2.19/2.36
% 2.19/2.36 set(prolog_style_variables).
% 2.19/2.36 set(auto).
% 2.19/2.36 dependent: set(auto1).
% 2.19/2.36 dependent: set(process_input).
% 2.19/2.36 dependent: clear(print_kept).
% 2.19/2.36 dependent: clear(print_new_demod).
% 2.19/2.36 dependent: clear(print_back_demod).
% 2.19/2.36 dependent: clear(print_back_sub).
% 2.19/2.36 dependent: set(control_memory).
% 2.19/2.36 dependent: assign(max_mem, 12000).
% 2.19/2.36 dependent: assign(pick_given_ratio, 4).
% 2.19/2.36 dependent: assign(stats_level, 1).
% 2.19/2.36 dependent: assign(max_seconds, 10800).
% 2.19/2.36 clear(print_given).
% 2.19/2.36
% 2.19/2.36 formula_list(usable).
% 2.19/2.36 all A (A=A).
% 2.19/2.36 -(all A (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)-> (all B (-v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))-> (r1_tarski(C,D)&v1_rmod_5(D,A,B)->v1_rmod_5(C,A,B)))))))))).
% 2.19/2.36 all A B (r2_hidden(A,B)-> -r2_hidden(B,A)).
% 2.19/2.36 all A B C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))->v1_relat_1(C)).
% 2.19/2.36 all A (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)-> (all B (-v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))-> (v1_rmod_5(C,A,B)<-> (all D (m2_rmod_4(D,A,B,C)-> (k5_rmod_4(A,B,D)=k1_rlvect_1(B)->k2_rmod_4(A,B,D)=k1_xboole_0))))))))).
% 2.19/2.36 all A (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)-> (all B (-v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)-> (all C (m1_rmod_4(C,A,B)->k2_rmod_4(A,B,C)=a_3_0_rmod_4(A,B,C)))))).
% 2.19/2.36 all A B (-v1_xboole_0(B)->m1_fraenkel(k1_fraenkel(A,B),A,B)).
% 2.19/2.36 $T.
% 2.19/2.36 $T.
% 2.19/2.36 all A (l2_struct_0(A)->m1_subset_1(k1_rlvect_1(A),u1_struct_0(A))).
% 2.19/2.36 $T.
% 2.19/2.36 $T.
% 2.19/2.36 all A B C (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)& -v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)&m1_rmod_4(C,A,B)->v1_finset_1(k2_rmod_4(A,B,C))&m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B)))).
% 2.19/2.36 $T.
% 2.19/2.36 all A B C (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)& -v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)&m1_rmod_4(C,A,B)->m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B))).
% 2.19/2.36 all A B C D (-v1_xboole_0(A)&v1_funct_1(C)&v1_funct_2(C,A,B)&m1_relset_1(C,A,B)&m1_subset_1(D,A)->m1_subset_1(k8_funct_2(A,B,C,D),B)).
% 2.19/2.36 all A (l1_group_1(A)->l1_struct_0(A)).
% 2.19/2.37 all A (l1_rlvect_1(A)->l2_struct_0(A)).
% 2.19/2.37 $T.
% 2.19/2.37 all A (l1_vectsp_1(A)->l1_group_1(A)).
% 2.19/2.37 all A (l1_struct_0(A)-> (all B (l1_vectsp_2(B,A)->l1_rlvect_1(B)))).
% 2.19/2.37 all A (l2_struct_0(A)->l1_struct_0(A)).
% 2.19/2.37 all A (l2_vectsp_1(A)->l1_vectsp_1(A)&l2_struct_0(A)).
% 2.19/2.37 all A (l3_vectsp_1(A)->l1_rlvect_1(A)&l2_vectsp_1(A)).
% 2.19/2.37 all A B C (m1_fraenkel(C,A,B)-> -v1_xboole_0(C)&v1_fraenkel(C)).
% 2.19/2.37 $T.
% 2.19/2.37 all A B (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)& -v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)-> (all C (m1_rmod_4(C,A,B)->m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A)))))).
% 2.19/2.37 $T.
% 2.19/2.37 all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (all D (m2_fraenkel(D,A,B,C)->v1_funct_1(D)&v1_funct_2(D,A,B)&m2_relset_1(D,A,B)))).
% 2.19/2.37 all A B C (m2_relset_1(C,A,B)->m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))).
% 2.19/2.37 all A B C (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)& -v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))-> (all D (m2_rmod_4(D,A,B,C)->m1_rmod_4(D,A,B)))).
% 2.19/2.37 $T.
% 2.19/2.37 exists A l1_group_1(A).
% 2.19/2.37 exists A l1_rlvect_1(A).
% 2.19/2.37 exists A l1_struct_0(A).
% 2.19/2.37 exists A l1_vectsp_1(A).
% 2.19/2.37 all A (l1_struct_0(A)-> (exists B l1_vectsp_2(B,A))).
% 2.19/2.37 exists A l2_struct_0(A).
% 2.19/2.37 exists A l2_vectsp_1(A).
% 2.19/2.37 exists A l3_vectsp_1(A).
% 2.19/2.37 all A B exists C m1_fraenkel(C,A,B).
% 2.19/2.37 all A B exists C m1_relset_1(C,A,B).
% 2.19/2.37 all A B (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)& -v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)-> (exists C m1_rmod_4(C,A,B))).
% 2.19/2.37 all A exists B m1_subset_1(B,A).
% 2.19/2.37 all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (exists D m2_fraenkel(D,A,B,C))).
% 2.19/2.37 all A B exists C m2_relset_1(C,A,B).
% 2.19/2.37 all A B C (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)& -v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)&m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))-> (exists D m2_rmod_4(D,A,B,C))).
% 2.19/2.37 all A (-v3_struct_0(A)&l1_struct_0(A)-> -v1_xboole_0(u1_struct_0(A))).
% 2.19/2.37 all A (-v1_xboole_0(k1_zfmisc_1(A))).
% 2.19/2.37 v1_xboole_0(k1_xboole_0).
% 2.19/2.37 all A B (-v1_xboole_0(A)& -v1_xboole_0(B)-> -v1_xboole_0(k2_zfmisc_1(A,B))).
% 2.19/2.37 all A B C D (-v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v4_group_1(B)&v6_vectsp_1(B)&v7_vectsp_1(B)&v8_vectsp_1(B)&l3_vectsp_1(B)& -v3_struct_0(C)&v3_rlvect_1(C)&v4_rlvect_1(C)&v5_rlvect_1(C)&v6_rlvect_1(C)&v5_vectsp_2(C,B)&l1_vectsp_2(C,B)&m1_rmod_4(D,B,C)-> (r2_hidden(A,a_3_0_rmod_4(B,C,D))<-> (exists E (m1_subset_1(E,u1_struct_0(C))&A=E&k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E)!=k1_rlvect_1(B))))).
% 2.19/2.37 all A (-v1_xboole_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(A))& -v1_xboole_0(B)))).
% 2.19/2.37 exists A v1_xboole_0(A).
% 2.19/2.37 all A (-v3_struct_0(A)&l1_struct_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(B)&v1_finset_1(B)))).
% 2.19/2.37 all A exists B (m1_subset_1(B,k1_zfmisc_1(A))&v1_xboole_0(B)).
% 2.19/2.37 exists A (-v1_xboole_0(A)).
% 2.19/2.37 exists A (l1_struct_0(A)& -v3_struct_0(A)).
% 2.19/2.37 exists A (l2_struct_0(A)& -v3_struct_0(A)).
% 2.19/2.37 all A (-v3_struct_0(A)&l1_struct_0(A)-> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))& -v1_xboole_0(B)))).
% 2.19/2.37 all A (l1_struct_0(A)-> (exists B (l1_vectsp_2(B,A)& -v3_struct_0(B)))).
% 2.19/2.37 all A B (-v1_xboole_0(B)->k1_fraenkel(A,B)=k1_funct_2(A,B)).
% 2.19/2.37 all A B C D (-v1_xboole_0(A)&v1_funct_1(C)&v1_funct_2(C,A,B)&m1_relset_1(C,A,B)&m1_subset_1(D,A)->k8_funct_2(A,B,C,D)=k1_funct_1(C,D)).
% 2.19/2.37 all A B C (-v1_xboole_0(B)&m1_fraenkel(C,A,B)-> (all D (m2_fraenkel(D,A,B,C)<->m1_subset_1(D,C)))).
% 2.19/2.37 all A B C (m2_relset_1(C,A,B)<->m1_relset_1(C,A,B)).
% 2.19/2.37 all A B r1_tarski(A,A).
% 2.19/2.37 all A B (r2_hidden(A,B)->m1_subset_1(A,B)).
% 2.19/2.37 all A (-v3_struct_0(A)&v3_rlvect_1(A)&v4_rlvect_1(A)&v5_rlvect_1(A)&v6_rlvect_1(A)&v4_group_1(A)&v6_vectsp_1(A)&v7_vectsp_1(A)&v8_vectsp_1(A)&l3_vectsp_1(A)-> (all B (-v3_struct_0(B)&v3_rlvect_1(B)&v4_rlvect_1(B)&v5_rlvect_1(B)&v6_rlvect_1(B)&v5_vectsp_2(B,A)&l1_vectsp_2(B,A)-> (all C (m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))-> (all D (m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))-> (all E (m2_rmod_4(E,A,B,C)-> (r1_tarski(C,D)->m2_rmod_4(E,A,B,D))))))))))).
% 2.19/2.37 all A B (m1_subset_1(A,B)->v1_xboole_0(B)|r2_hidden(A,B)).
% 2.19/2.37 all A B ((all C (r2_hidden(C,A)<->r2_hidden(C,B)))->A=B).
% 2.19/2.37 all A B (m1_subset_1(A,k1_zfmisc_1(B))<->r1_tarski(A,B)).
% 2.19/2.37 all A B C (r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))->m1_subset_1(A,C)).
% 2.19/2.37 all A B C (-(r2_hidden(A,B)&m1_subset_1(B,k1_zfmisc_1(C))&v1_xboole_0(C))).
% 2.19/2.37 all A (v1_xboole_0(A)->A=k1_xboole_0).
% 2.19/2.37 all A B (-(r2_hidden(A,B)&v1_xboole_0(B))).
% 2.19/2.37 all A B (-(v1_xboole_0(A)&A!=B&v1_xboole_0(B))).
% 2.19/2.37 end_of_list.
% 2.19/2.37
% 2.19/2.37 -------> usable clausifies to:
% 2.19/2.37
% 2.19/2.37 list(usable).
% 2.19/2.37 0 [] A=A.
% 2.19/2.37 0 [] -v3_struct_0($c4).
% 2.19/2.37 0 [] v3_rlvect_1($c4).
% 2.19/2.37 0 [] v4_rlvect_1($c4).
% 2.19/2.37 0 [] v5_rlvect_1($c4).
% 2.19/2.37 0 [] v6_rlvect_1($c4).
% 2.19/2.37 0 [] v4_group_1($c4).
% 2.19/2.37 0 [] v6_vectsp_1($c4).
% 2.19/2.37 0 [] v7_vectsp_1($c4).
% 2.19/2.37 0 [] v8_vectsp_1($c4).
% 2.19/2.37 0 [] l3_vectsp_1($c4).
% 2.19/2.37 0 [] -v3_struct_0($c3).
% 2.19/2.37 0 [] v3_rlvect_1($c3).
% 2.19/2.37 0 [] v4_rlvect_1($c3).
% 2.19/2.37 0 [] v5_rlvect_1($c3).
% 2.19/2.37 0 [] v6_rlvect_1($c3).
% 2.19/2.37 0 [] v5_vectsp_2($c3,$c4).
% 2.19/2.37 0 [] l1_vectsp_2($c3,$c4).
% 2.19/2.37 0 [] m1_subset_1($c2,k1_zfmisc_1(u1_struct_0($c3))).
% 2.19/2.37 0 [] m1_subset_1($c1,k1_zfmisc_1(u1_struct_0($c3))).
% 2.19/2.37 0 [] r1_tarski($c2,$c1).
% 2.19/2.37 0 [] v1_rmod_5($c1,$c4,$c3).
% 2.19/2.37 0 [] -v1_rmod_5($c2,$c4,$c3).
% 2.19/2.37 0 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.19/2.37 0 [] -m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B)))|v1_relat_1(C).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))| -v1_rmod_5(C,A,B)| -m2_rmod_4(D,A,B,C)|k5_rmod_4(A,B,D)!=k1_rlvect_1(B)|k2_rmod_4(A,B,D)=k1_xboole_0.
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_rmod_5(C,A,B)|m2_rmod_4($f1(A,B,C),A,B,C).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_rmod_5(C,A,B)|k5_rmod_4(A,B,$f1(A,B,C))=k1_rlvect_1(B).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_rmod_5(C,A,B)|k2_rmod_4(A,B,$f1(A,B,C))!=k1_xboole_0.
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|k2_rmod_4(A,B,C)=a_3_0_rmod_4(A,B,C).
% 2.19/2.37 0 [] v1_xboole_0(B)|m1_fraenkel(k1_fraenkel(A,B),A,B).
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] -l2_struct_0(A)|m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)).
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|v1_finset_1(k2_rmod_4(A,B,C)).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))).
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)).
% 2.19/2.37 0 [] v1_xboole_0(A)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)| -m1_subset_1(D,A)|m1_subset_1(k8_funct_2(A,B,C,D),B).
% 2.19/2.37 0 [] -l1_group_1(A)|l1_struct_0(A).
% 2.19/2.37 0 [] -l1_rlvect_1(A)|l2_struct_0(A).
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] -l1_vectsp_1(A)|l1_group_1(A).
% 2.19/2.37 0 [] -l1_struct_0(A)| -l1_vectsp_2(B,A)|l1_rlvect_1(B).
% 2.19/2.37 0 [] -l2_struct_0(A)|l1_struct_0(A).
% 2.19/2.37 0 [] -l2_vectsp_1(A)|l1_vectsp_1(A).
% 2.19/2.37 0 [] -l2_vectsp_1(A)|l2_struct_0(A).
% 2.19/2.37 0 [] -l3_vectsp_1(A)|l1_rlvect_1(A).
% 2.19/2.37 0 [] -l3_vectsp_1(A)|l2_vectsp_1(A).
% 2.19/2.37 0 [] -m1_fraenkel(C,A,B)| -v1_xboole_0(C).
% 2.19/2.37 0 [] -m1_fraenkel(C,A,B)|v1_fraenkel(C).
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))).
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|v1_funct_1(D).
% 2.19/2.37 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|v1_funct_2(D,A,B).
% 2.19/2.37 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|m2_relset_1(D,A,B).
% 2.19/2.37 0 [] -m2_relset_1(C,A,B)|m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))| -m2_rmod_4(D,A,B,C)|m1_rmod_4(D,A,B).
% 2.19/2.37 0 [] $T.
% 2.19/2.37 0 [] l1_group_1($c5).
% 2.19/2.37 0 [] l1_rlvect_1($c6).
% 2.19/2.37 0 [] l1_struct_0($c7).
% 2.19/2.37 0 [] l1_vectsp_1($c8).
% 2.19/2.37 0 [] -l1_struct_0(A)|l1_vectsp_2($f2(A),A).
% 2.19/2.37 0 [] l2_struct_0($c9).
% 2.19/2.37 0 [] l2_vectsp_1($c10).
% 2.19/2.37 0 [] l3_vectsp_1($c11).
% 2.19/2.37 0 [] m1_fraenkel($f3(A,B),A,B).
% 2.19/2.37 0 [] m1_relset_1($f4(A,B),A,B).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)|m1_rmod_4($f5(A,B),A,B).
% 2.19/2.37 0 [] m1_subset_1($f6(A),A).
% 2.19/2.37 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)|m2_fraenkel($f7(A,B,C),A,B,C).
% 2.19/2.37 0 [] m2_relset_1($f8(A,B),A,B).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|m2_rmod_4($f9(A,B,C),A,B,C).
% 2.19/2.37 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.19/2.37 0 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.19/2.37 0 [] v1_xboole_0(k1_xboole_0).
% 2.19/2.37 0 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.19/2.37 0 [] v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v4_group_1(B)| -v6_vectsp_1(B)| -v7_vectsp_1(B)| -v8_vectsp_1(B)| -l3_vectsp_1(B)|v3_struct_0(C)| -v3_rlvect_1(C)| -v4_rlvect_1(C)| -v5_rlvect_1(C)| -v6_rlvect_1(C)| -v5_vectsp_2(C,B)| -l1_vectsp_2(C,B)| -m1_rmod_4(D,B,C)| -r2_hidden(A,a_3_0_rmod_4(B,C,D))|m1_subset_1($f10(A,B,C,D),u1_struct_0(C)).
% 2.19/2.37 0 [] v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v4_group_1(B)| -v6_vectsp_1(B)| -v7_vectsp_1(B)| -v8_vectsp_1(B)| -l3_vectsp_1(B)|v3_struct_0(C)| -v3_rlvect_1(C)| -v4_rlvect_1(C)| -v5_rlvect_1(C)| -v6_rlvect_1(C)| -v5_vectsp_2(C,B)| -l1_vectsp_2(C,B)| -m1_rmod_4(D,B,C)| -r2_hidden(A,a_3_0_rmod_4(B,C,D))|A=$f10(A,B,C,D).
% 2.19/2.37 0 [] v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v4_group_1(B)| -v6_vectsp_1(B)| -v7_vectsp_1(B)| -v8_vectsp_1(B)| -l3_vectsp_1(B)|v3_struct_0(C)| -v3_rlvect_1(C)| -v4_rlvect_1(C)| -v5_rlvect_1(C)| -v6_rlvect_1(C)| -v5_vectsp_2(C,B)| -l1_vectsp_2(C,B)| -m1_rmod_4(D,B,C)| -r2_hidden(A,a_3_0_rmod_4(B,C,D))|k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,$f10(A,B,C,D))!=k1_rlvect_1(B).
% 2.19/2.37 0 [] v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v4_group_1(B)| -v6_vectsp_1(B)| -v7_vectsp_1(B)| -v8_vectsp_1(B)| -l3_vectsp_1(B)|v3_struct_0(C)| -v3_rlvect_1(C)| -v4_rlvect_1(C)| -v5_rlvect_1(C)| -v6_rlvect_1(C)| -v5_vectsp_2(C,B)| -l1_vectsp_2(C,B)| -m1_rmod_4(D,B,C)|r2_hidden(A,a_3_0_rmod_4(B,C,D))| -m1_subset_1(E,u1_struct_0(C))|A!=E|k8_funct_2(u1_struct_0(C),u1_struct_0(B),D,E)=k1_rlvect_1(B).
% 2.19/2.37 0 [] v1_xboole_0(A)|m1_subset_1($f11(A),k1_zfmisc_1(A)).
% 2.19/2.37 0 [] v1_xboole_0(A)| -v1_xboole_0($f11(A)).
% 2.19/2.37 0 [] v1_xboole_0($c12).
% 2.19/2.37 0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f12(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.19/2.37 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f12(A)).
% 2.19/2.37 0 [] v3_struct_0(A)| -l1_struct_0(A)|v1_finset_1($f12(A)).
% 2.19/2.37 0 [] m1_subset_1($f13(A),k1_zfmisc_1(A)).
% 2.19/2.37 0 [] v1_xboole_0($f13(A)).
% 2.19/2.37 0 [] -v1_xboole_0($c13).
% 2.19/2.37 0 [] l1_struct_0($c14).
% 2.19/2.37 0 [] -v3_struct_0($c14).
% 2.19/2.37 0 [] l2_struct_0($c15).
% 2.19/2.37 0 [] -v3_struct_0($c15).
% 2.19/2.37 0 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f14(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.19/2.37 0 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f14(A)).
% 2.19/2.37 0 [] -l1_struct_0(A)|l1_vectsp_2($f15(A),A).
% 2.19/2.37 0 [] -l1_struct_0(A)| -v3_struct_0($f15(A)).
% 2.19/2.37 0 [] v1_xboole_0(B)|k1_fraenkel(A,B)=k1_funct_2(A,B).
% 2.19/2.37 0 [] v1_xboole_0(A)| -v1_funct_1(C)| -v1_funct_2(C,A,B)| -m1_relset_1(C,A,B)| -m1_subset_1(D,A)|k8_funct_2(A,B,C,D)=k1_funct_1(C,D).
% 2.19/2.37 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)| -m2_fraenkel(D,A,B,C)|m1_subset_1(D,C).
% 2.19/2.37 0 [] v1_xboole_0(B)| -m1_fraenkel(C,A,B)|m2_fraenkel(D,A,B,C)| -m1_subset_1(D,C).
% 2.19/2.37 0 [] -m2_relset_1(C,A,B)|m1_relset_1(C,A,B).
% 2.19/2.37 0 [] m2_relset_1(C,A,B)| -m1_relset_1(C,A,B).
% 2.19/2.37 0 [] r1_tarski(A,A).
% 2.19/2.37 0 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.19/2.37 0 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))| -m2_rmod_4(E,A,B,C)| -r1_tarski(C,D)|m2_rmod_4(E,A,B,D).
% 2.19/2.37 0 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.19/2.37 0 [] r2_hidden($f16(A,B),A)|r2_hidden($f16(A,B),B)|A=B.
% 2.19/2.37 0 [] -r2_hidden($f16(A,B),A)| -r2_hidden($f16(A,B),B)|A=B.
% 2.19/2.37 0 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.19/2.37 0 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.19/2.37 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.19/2.37 0 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.19/2.37 0 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.19/2.37 0 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.19/2.37 0 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.19/2.37 end_of_list.
% 2.19/2.37
% 2.19/2.37 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=22.
% 2.19/2.37
% 2.19/2.37 This ia a non-Horn set with equality. The strategy will be
% 2.19/2.37 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.19/2.37 deletion, with positive clauses in sos and nonpositive
% 2.19/2.37 clauses in usable.
% 2.19/2.37
% 2.19/2.37 dependent: set(knuth_bendix).
% 2.19/2.37 dependent: set(anl_eq).
% 2.19/2.37 dependent: set(para_from).
% 2.19/2.37 dependent: set(para_into).
% 2.19/2.37 dependent: clear(para_from_right).
% 2.19/2.37 dependent: clear(para_into_right).
% 2.19/2.37 dependent: set(para_from_vars).
% 2.19/2.37 dependent: set(eq_units_both_ways).
% 2.19/2.37 dependent: set(dynamic_demod_all).
% 2.19/2.37 dependent: set(dynamic_demod).
% 2.19/2.37 dependent: set(order_eq).
% 2.19/2.37 dependent: set(back_demod).
% 2.19/2.37 dependent: set(lrpo).
% 2.19/2.37 dependent: set(hyper_res).
% 2.19/2.37 dependent: set(unit_deletion).
% 2.19/2.37 dependent: set(factor).
% 2.19/2.37
% 2.19/2.37 ------------> process usable:
% 2.19/2.37 ** KEPT (pick-wt=2): 1 [] -v3_struct_0($c4).
% 2.19/2.37 ** KEPT (pick-wt=2): 2 [] -v3_struct_0($c3).
% 2.19/2.37 ** KEPT (pick-wt=4): 3 [] -v1_rmod_5($c2,$c4,$c3).
% 2.19/2.37 ** KEPT (pick-wt=6): 4 [] -r2_hidden(A,B)| -r2_hidden(B,A).
% 2.19/2.37 ** KEPT (pick-wt=8): 5 [] -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C)))|v1_relat_1(A).
% 2.19/2.37 ** KEPT (pick-wt=63): 6 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))| -v1_rmod_5(C,A,B)| -m2_rmod_4(D,A,B,C)|k5_rmod_4(A,B,D)!=k1_rlvect_1(B)|k2_rmod_4(A,B,D)=k1_xboole_0.
% 2.19/2.37 ** KEPT (pick-wt=53): 7 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_rmod_5(C,A,B)|m2_rmod_4($f1(A,B,C),A,B,C).
% 2.19/2.37 ** KEPT (pick-wt=55): 8 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_rmod_5(C,A,B)|k5_rmod_4(A,B,$f1(A,B,C))=k1_rlvect_1(B).
% 2.19/2.37 ** KEPT (pick-wt=54): 9 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|v1_rmod_5(C,A,B)|k2_rmod_4(A,B,$f1(A,B,C))!=k1_xboole_0.
% 2.19/2.37 ** KEPT (pick-wt=49): 10 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|k2_rmod_4(A,B,C)=a_3_0_rmod_4(A,B,C).
% 2.19/2.37 ** KEPT (pick-wt=7): 11 [] -l2_struct_0(A)|m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)).
% 2.19/2.37 ** KEPT (pick-wt=45): 12 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|v1_finset_1(k2_rmod_4(A,B,C)).
% 2.19/2.37 ** KEPT (pick-wt=48): 13 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|m1_subset_1(k2_rmod_4(A,B,C),k1_zfmisc_1(u1_struct_0(B))).
% 2.19/2.37 ** KEPT (pick-wt=47): 14 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|m1_subset_1(k5_rmod_4(A,B,C),u1_struct_0(B)).
% 2.19/2.37 ** KEPT (pick-wt=22): 15 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,A,C)| -m1_relset_1(B,A,C)| -m1_subset_1(D,A)|m1_subset_1(k8_funct_2(A,C,B,D),C).
% 2.19/2.37 ** KEPT (pick-wt=4): 16 [] -l1_group_1(A)|l1_struct_0(A).
% 2.19/2.37 ** KEPT (pick-wt=4): 17 [] -l1_rlvect_1(A)|l2_struct_0(A).
% 2.19/2.37 ** KEPT (pick-wt=4): 18 [] -l1_vectsp_1(A)|l1_group_1(A).
% 2.19/2.37 ** KEPT (pick-wt=7): 19 [] -l1_struct_0(A)| -l1_vectsp_2(B,A)|l1_rlvect_1(B).
% 2.19/2.37 ** KEPT (pick-wt=4): 20 [] -l2_struct_0(A)|l1_struct_0(A).
% 2.19/2.37 ** KEPT (pick-wt=4): 21 [] -l2_vectsp_1(A)|l1_vectsp_1(A).
% 2.19/2.37 ** KEPT (pick-wt=4): 22 [] -l2_vectsp_1(A)|l2_struct_0(A).
% 2.19/2.37 ** KEPT (pick-wt=4): 23 [] -l3_vectsp_1(A)|l1_rlvect_1(A).
% 2.19/2.37 ** KEPT (pick-wt=4): 24 [] -l3_vectsp_1(A)|l2_vectsp_1(A).
% 2.19/2.37 ** KEPT (pick-wt=6): 25 [] -m1_fraenkel(A,B,C)| -v1_xboole_0(A).
% 2.19/2.37 ** KEPT (pick-wt=6): 26 [] -m1_fraenkel(A,B,C)|v1_fraenkel(A).
% 2.19/2.37 ** KEPT (pick-wt=51): 27 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|m2_fraenkel(C,u1_struct_0(B),u1_struct_0(A),k1_fraenkel(u1_struct_0(B),u1_struct_0(A))).
% 2.19/2.39 ** KEPT (pick-wt=13): 28 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|v1_funct_1(D).
% 2.19/2.39 ** KEPT (pick-wt=15): 29 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|v1_funct_2(D,C,A).
% 2.19/2.39 ** KEPT (pick-wt=15): 30 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|m2_relset_1(D,C,A).
% 2.19/2.39 ** KEPT (pick-wt=10): 31 [] -m2_relset_1(A,B,C)|m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).
% 2.19/2.39 ** KEPT (pick-wt=50): 32 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))| -m2_rmod_4(D,A,B,C)|m1_rmod_4(D,A,B).
% 2.19/2.39 ** KEPT (pick-wt=6): 33 [] -l1_struct_0(A)|l1_vectsp_2($f2(A),A).
% 2.19/2.39 ** KEPT (pick-wt=42): 34 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)|m1_rmod_4($f5(A,B),A,B).
% 2.19/2.39 ** KEPT (pick-wt=14): 35 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)|m2_fraenkel($f7(C,A,B),C,A,B).
% 2.19/2.39 ** KEPT (pick-wt=49): 36 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))|m2_rmod_4($f9(A,B,C),A,B,C).
% 2.19/2.39 ** KEPT (pick-wt=7): 37 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0(u1_struct_0(A)).
% 2.19/2.39 ** KEPT (pick-wt=3): 38 [] -v1_xboole_0(k1_zfmisc_1(A)).
% 2.19/2.39 ** KEPT (pick-wt=8): 39 [] v1_xboole_0(A)|v1_xboole_0(B)| -v1_xboole_0(k2_zfmisc_1(A,B)).
% 2.19/2.39 ** KEPT (pick-wt=54): 40 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)| -r2_hidden(D,a_3_0_rmod_4(A,B,C))|m1_subset_1($f10(D,A,B,C),u1_struct_0(B)).
% 2.19/2.39 ** KEPT (pick-wt=53): 42 [copy,41,flip.20] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)| -r2_hidden(D,a_3_0_rmod_4(A,B,C))|$f10(D,A,B,C)=D.
% 2.19/2.39 ** KEPT (pick-wt=60): 43 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)| -r2_hidden(D,a_3_0_rmod_4(A,B,C))|k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,$f10(D,A,B,C))!=k1_rlvect_1(A).
% 2.19/2.39 ** KEPT (pick-wt=63): 44 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_rmod_4(C,A,B)|r2_hidden(D,a_3_0_rmod_4(A,B,C))| -m1_subset_1(E,u1_struct_0(B))|D!=E|k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E)=k1_rlvect_1(A).
% 2.19/2.39 ** KEPT (pick-wt=5): 45 [] v1_xboole_0(A)| -v1_xboole_0($f11(A)).
% 2.19/2.39 ** KEPT (pick-wt=10): 46 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f12(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.19/2.39 ** KEPT (pick-wt=7): 47 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f12(A)).
% 2.19/2.39 ** KEPT (pick-wt=7): 48 [] v3_struct_0(A)| -l1_struct_0(A)|v1_finset_1($f12(A)).
% 2.19/2.39 ** KEPT (pick-wt=2): 49 [] -v1_xboole_0($c13).
% 2.19/2.39 ** KEPT (pick-wt=2): 50 [] -v3_struct_0($c14).
% 2.19/2.39 ** KEPT (pick-wt=2): 51 [] -v3_struct_0($c15).
% 2.19/2.39 ** KEPT (pick-wt=10): 52 [] v3_struct_0(A)| -l1_struct_0(A)|m1_subset_1($f14(A),k1_zfmisc_1(u1_struct_0(A))).
% 2.19/2.39 ** KEPT (pick-wt=7): 53 [] v3_struct_0(A)| -l1_struct_0(A)| -v1_xboole_0($f14(A)).
% 2.19/2.39 ** KEPT (pick-wt=6): 54 [] -l1_struct_0(A)|l1_vectsp_2($f15(A),A).
% 2.19/2.39 ** KEPT (pick-wt=5): 55 [] -l1_struct_0(A)| -v3_struct_0($f15(A)).
% 2.19/2.39 ** KEPT (pick-wt=24): 56 [] v1_xboole_0(A)| -v1_funct_1(B)| -v1_funct_2(B,A,C)| -m1_relset_1(B,A,C)| -m1_subset_1(D,A)|k8_funct_2(A,C,B,D)=k1_funct_1(B,D).
% 2.19/2.39 ** KEPT (pick-wt=14): 57 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)| -m2_fraenkel(D,C,A,B)|m1_subset_1(D,B).
% 2.19/2.39 ** KEPT (pick-wt=14): 58 [] v1_xboole_0(A)| -m1_fraenkel(B,C,A)|m2_fraenkel(D,C,A,B)| -m1_subset_1(D,B).
% 2.19/2.39 ** KEPT (pick-wt=8): 59 [] -m2_relset_1(A,B,C)|m1_relset_1(A,B,C).
% 2.19/2.39 ** KEPT (pick-wt=8): 60 [] m2_relset_1(A,B,C)| -m1_relset_1(A,B,C).
% 2.19/2.39 ** KEPT (pick-wt=6): 61 [] -r2_hidden(A,B)|m1_subset_1(A,B).
% 2.19/2.39 ** KEPT (pick-wt=59): 62 [] v3_struct_0(A)| -v3_rlvect_1(A)| -v4_rlvect_1(A)| -v5_rlvect_1(A)| -v6_rlvect_1(A)| -v4_group_1(A)| -v6_vectsp_1(A)| -v7_vectsp_1(A)| -v8_vectsp_1(A)| -l3_vectsp_1(A)|v3_struct_0(B)| -v3_rlvect_1(B)| -v4_rlvect_1(B)| -v5_rlvect_1(B)| -v6_rlvect_1(B)| -v5_vectsp_2(B,A)| -l1_vectsp_2(B,A)| -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))| -m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))| -m2_rmod_4(E,A,B,C)| -r1_tarski(C,D)|m2_rmod_4(E,A,B,D).
% 2.19/2.39 ** KEPT (pick-wt=8): 63 [] -m1_subset_1(A,B)|v1_xboole_0(B)|r2_hidden(A,B).
% 2.19/2.39 ** KEPT (pick-wt=13): 64 [] -r2_hidden($f16(A,B),A)| -r2_hidden($f16(A,B),B)|A=B.
% 2.19/2.39 ** KEPT (pick-wt=7): 65 [] -m1_subset_1(A,k1_zfmisc_1(B))|r1_tarski(A,B).
% 2.19/2.39 ** KEPT (pick-wt=7): 66 [] m1_subset_1(A,k1_zfmisc_1(B))| -r1_tarski(A,B).
% 2.19/2.39 ** KEPT (pick-wt=10): 67 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))|m1_subset_1(A,C).
% 2.19/2.39 ** KEPT (pick-wt=9): 68 [] -r2_hidden(A,B)| -m1_subset_1(B,k1_zfmisc_1(C))| -v1_xboole_0(C).
% 2.19/2.39 ** KEPT (pick-wt=5): 69 [] -v1_xboole_0(A)|A=k1_xboole_0.
% 2.19/2.39 ** KEPT (pick-wt=5): 70 [] -r2_hidden(A,B)| -v1_xboole_0(B).
% 2.19/2.39 ** KEPT (pick-wt=7): 71 [] -v1_xboole_0(A)|A=B| -v1_xboole_0(B).
% 2.19/2.39
% 2.19/2.39 ------------> process sos:
% 2.19/2.39 ** KEPT (pick-wt=3): 93 [] A=A.
% 2.19/2.39 ** KEPT (pick-wt=2): 94 [] v3_rlvect_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 95 [] v4_rlvect_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 96 [] v5_rlvect_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 97 [] v6_rlvect_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 98 [] v4_group_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 99 [] v6_vectsp_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 100 [] v7_vectsp_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 101 [] v8_vectsp_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 102 [] l3_vectsp_1($c4).
% 2.19/2.39 ** KEPT (pick-wt=2): 103 [] v3_rlvect_1($c3).
% 2.19/2.39 ** KEPT (pick-wt=2): 104 [] v4_rlvect_1($c3).
% 2.19/2.39 ** KEPT (pick-wt=2): 105 [] v5_rlvect_1($c3).
% 2.19/2.39 ** KEPT (pick-wt=2): 106 [] v6_rlvect_1($c3).
% 2.19/2.39 ** KEPT (pick-wt=3): 107 [] v5_vectsp_2($c3,$c4).
% 2.19/2.39 ** KEPT (pick-wt=3): 108 [] l1_vectsp_2($c3,$c4).
% 2.19/2.39 ** KEPT (pick-wt=5): 109 [] m1_subset_1($c2,k1_zfmisc_1(u1_struct_0($c3))).
% 2.19/2.39 ** KEPT (pick-wt=5): 110 [] m1_subset_1($c1,k1_zfmisc_1(u1_struct_0($c3))).
% 2.19/2.39 ** KEPT (pick-wt=3): 111 [] r1_tarski($c2,$c1).
% 2.19/2.39 ** KEPT (pick-wt=4): 112 [] v1_rmod_5($c1,$c4,$c3).
% 2.19/2.39 ** KEPT (pick-wt=8): 113 [] v1_xboole_0(A)|m1_fraenkel(k1_fraenkel(B,A),B,A).
% 2.19/2.39 ** KEPT (pick-wt=2): 114 [] l1_group_1($c5).
% 2.19/2.39 ** KEPT (pick-wt=2): 115 [] l1_rlvect_1($c6).
% 2.19/2.39 ** KEPT (pick-wt=2): 116 [] l1_struct_0($c7).
% 2.19/2.39 ** KEPT (pick-wt=2): 117 [] l1_vectsp_1($c8).
% 2.19/2.39 ** KEPT (pick-wt=2): 118 [] l2_struct_0($c9).
% 2.19/2.39 ** KEPT (pick-wt=2): 119 [] l2_vectsp_1($c10).
% 2.19/2.39 ** KEPT (pick-wt=2): 120 [] l3_vectsp_1($c11).
% 2.19/2.39 ** KEPT (pick-wt=6): 121 [] m1_fraenkel($f3(A,B),A,B).
% 2.19/2.39 ** KEPT (pick-wt=6): 122 [] m1_relset_1($f4(A,B),A,B).
% 2.19/2.39 ** KEPT (pick-wt=4): 123 [] m1_subset_1($f6(A),A).
% 2.19/2.39 ** KEPT (pick-wt=6): 124 [] m2_relset_1($f8(A,B),A,B).
% 2.19/2.39 ** KEPT (pick-wt=2): 125 [] v1_xboole_0(k1_xboole_0).
% 2.19/2.39 ** KEPT (pick-wt=7): 126 [] v1_xboole_0(A)|m1_subset_1($f11(A),k1_zfmisc_1(A)).
% 2.19/2.39 ** KEPT (pick-wt=2): 127 [] v1_xboole_0($c12).
% 2.19/2.39 ** KEPT (pick-wt=5): 128 [] m1_subset_1($f13(A),k1_zfmisc_1(A)).
% 2.19/2.39 ** KEPT (pick-wt=3): 129 [] v1_xboole_0($f13(A)).
% 2.19/2.39 ** KEPT (pick-wt=2): 130 [] l1_struct_0($c14).
% 2.19/2.39 ** KEPT (pick-wt=2): 131 [] l2_struct_0($c15).
% 3.35/3.51 ** KEPT (pick-wt=9): 133 [copy,132,flip.2] v1_xboole_0(A)|k1_funct_2(B,A)=k1_fraenkel(B,A).
% 3.35/3.51 ** KEPT (pick-wt=3): 134 [] r1_tarski(A,A).
% 3.35/3.51 ** KEPT (pick-wt=13): 135 [] r2_hidden($f16(A,B),A)|r2_hidden($f16(A,B),B)|A=B.
% 3.35/3.51 Following clause subsumed by 93 during input processing: 0 [copy,93,flip.1] A=A.
% 3.35/3.51 93 back subsumes 92.
% 3.35/3.51 93 back subsumes 91.
% 3.35/3.51
% 3.35/3.51 ======= end of input processing =======
% 3.35/3.51
% 3.35/3.51 =========== start of search ===========
% 3.35/3.51
% 3.35/3.51
% 3.35/3.51 Resetting weight limit to 4.
% 3.35/3.51
% 3.35/3.51
% 3.35/3.51 Resetting weight limit to 4.
% 3.35/3.51
% 3.35/3.51 sos_size=442
% 3.35/3.51
% 3.35/3.51 Search stopped because sos empty.
% 3.35/3.51
% 3.35/3.51
% 3.35/3.51 Search stopped because sos empty.
% 3.35/3.51
% 3.35/3.51 ============ end of search ============
% 3.35/3.51
% 3.35/3.51 -------------- statistics -------------
% 3.35/3.51 clauses given 631
% 3.35/3.51 clauses generated 84111
% 3.35/3.51 clauses kept 749
% 3.35/3.51 clauses forward subsumed 510
% 3.35/3.51 clauses back subsumed 3
% 3.35/3.51 Kbytes malloced 6835
% 3.35/3.51
% 3.35/3.51 ----------- times (seconds) -----------
% 3.35/3.51 user CPU time 1.14 (0 hr, 0 min, 1 sec)
% 3.35/3.51 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.35/3.51 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.35/3.51
% 3.35/3.51 Process 19853 finished Wed Jul 27 03:48:10 2022
% 3.35/3.51 Otter interrupted
% 3.35/3.51 PROOF NOT FOUND
%------------------------------------------------------------------------------