%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% 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 17:54:02 EDT 2022

% Result   : Theorem 1.21s 1.48s
% Output   : Refutation 1.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG214+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n029.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  : 600
% 0.12/0.33  % DateTime : Wed Jun  8 12:01:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.73/1.03  ============================== Prover9 ===============================
% 0.73/1.03  Prover9 (32) version 2009-11A, November 2009.
% 0.73/1.03  Process 26234 was started by sandbox2 on n029.cluster.edu,
% 0.73/1.03  Wed Jun  8 12:01:51 2022
% 0.73/1.03  The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_26081_n029.cluster.edu".
% 0.73/1.03  ============================== end of head ===========================
% 0.73/1.03  
% 0.73/1.03  ============================== INPUT =================================
% 0.73/1.03  
% 0.73/1.03  % Reading from file /tmp/Prover9_26081_n029.cluster.edu
% 0.73/1.03  
% 0.73/1.03  set(prolog_style_variables).
% 0.73/1.03  set(auto2).
% 0.73/1.03      % set(auto2) -> set(auto).
% 0.73/1.03      % set(auto) -> set(auto_inference).
% 0.73/1.03      % set(auto) -> set(auto_setup).
% 0.73/1.03      % set(auto_setup) -> set(predicate_elim).
% 0.73/1.03      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.73/1.03      % set(auto) -> set(auto_limits).
% 0.73/1.03      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.73/1.03      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.73/1.03      % set(auto) -> set(auto_denials).
% 0.73/1.03      % set(auto) -> set(auto_process).
% 0.73/1.03      % set(auto2) -> assign(new_constants, 1).
% 0.73/1.03      % set(auto2) -> assign(fold_denial_max, 3).
% 0.73/1.03      % set(auto2) -> assign(max_weight, "200.000").
% 0.73/1.03      % set(auto2) -> assign(max_hours, 1).
% 0.73/1.03      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.73/1.03      % set(auto2) -> assign(max_seconds, 0).
% 0.73/1.03      % set(auto2) -> assign(max_minutes, 5).
% 0.73/1.03      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.73/1.03      % set(auto2) -> set(sort_initial_sos).
% 0.73/1.03      % set(auto2) -> assign(sos_limit, -1).
% 0.73/1.03      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.73/1.03      % set(auto2) -> assign(max_megs, 400).
% 0.73/1.03      % set(auto2) -> assign(stats, some).
% 0.73/1.03      % set(auto2) -> clear(echo_input).
% 0.73/1.03      % set(auto2) -> set(quiet).
% 0.73/1.03      % set(auto2) -> clear(print_initial_clauses).
% 0.73/1.03      % set(auto2) -> clear(print_given).
% 0.73/1.03  assign(lrs_ticks,-1).
% 0.73/1.03  assign(sos_limit,10000).
% 0.73/1.03  assign(order,kbo).
% 0.73/1.03  set(lex_order_vars).
% 0.73/1.03  clear(print_given).
% 0.73/1.03  
% 0.73/1.03  % formulas(sos).  % not echoed (75 formulas)
% 0.73/1.03  
% 0.73/1.03  ============================== end of input ==========================
% 0.73/1.03  
% 0.73/1.03  % From the command line: assign(max_seconds, 300).
% 0.73/1.03  
% 0.73/1.03  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.73/1.03  
% 0.73/1.03  % Formulas that are not ordinary clauses:
% 0.73/1.03  1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  2 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  3 (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)))))))))) # label(d1_rmod_5) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  4 (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))))))) # label(d5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  5 (all A all B (-v1_xboole_0(B) -> m1_fraenkel(k1_fraenkel(A,B),A,B))) # label(dt_k1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  6 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  7 $T # label(dt_k1_funct_2) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  8 (all A (l2_struct_0(A) -> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)))) # label(dt_k1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  9 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  10 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  11 (all A all B all 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))))) # label(dt_k2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  12 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  13 (all A all B all 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)))) # label(dt_k5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  14 (all A all B all C all 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))) # label(dt_k8_funct_2) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  15 (all A (l1_group_1(A) -> l1_struct_0(A))) # label(dt_l1_group_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  16 (all A (l1_rlvect_1(A) -> l2_struct_0(A))) # label(dt_l1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  17 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  18 (all A (l1_vectsp_1(A) -> l1_group_1(A))) # label(dt_l1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  19 (all A (l1_struct_0(A) -> (all B (l1_vectsp_2(B,A) -> l1_rlvect_1(B))))) # label(dt_l1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  20 (all A (l2_struct_0(A) -> l1_struct_0(A))) # label(dt_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  21 (all A (l2_vectsp_1(A) -> l1_vectsp_1(A) & l2_struct_0(A))) # label(dt_l2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  22 (all A (l3_vectsp_1(A) -> l1_rlvect_1(A) & l2_vectsp_1(A))) # label(dt_l3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  23 (all A all B all C (m1_fraenkel(C,A,B) -> -v1_xboole_0(C) & v1_fraenkel(C))) # label(dt_m1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  24 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  25 (all A all 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))))))) # label(dt_m1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  26 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  27 (all A all B all 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))))) # label(dt_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  28 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  29 (all A all B all 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))))) # label(dt_m2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  30 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  31 (exists A l1_group_1(A)) # label(existence_l1_group_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  32 (exists A l1_rlvect_1(A)) # label(existence_l1_rlvect_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  33 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  34 (exists A l1_vectsp_1(A)) # label(existence_l1_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  35 (all A (l1_struct_0(A) -> (exists B l1_vectsp_2(B,A)))) # label(existence_l1_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  36 (exists A l2_struct_0(A)) # label(existence_l2_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  37 (exists A l2_vectsp_1(A)) # label(existence_l2_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  38 (exists A l3_vectsp_1(A)) # label(existence_l3_vectsp_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  39 (all A all B exists C m1_fraenkel(C,A,B)) # label(existence_m1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  40 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  41 (all A all 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)))) # label(existence_m1_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  42 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  43 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (exists D m2_fraenkel(D,A,B,C)))) # label(existence_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  44 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  45 (all A all B all 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)))) # label(existence_m2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  46 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  47 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  48 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  49 (all A all B all C all 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)))))) # label(fraenkel_a_3_0_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  50 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  51 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  52 (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))))) # label(rc2_rlvect_2) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  53 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  54 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  55 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  56 (exists A (l2_struct_0(A) & -v3_struct_0(A))) # label(rc4_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  57 (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))))) # label(rc5_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  58 (all A (l1_struct_0(A) -> (exists B (l1_vectsp_2(B,A) & -v3_struct_0(B))))) # label(rc9_vectsp_2) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  59 (all A all B (-v1_xboole_0(B) -> k1_fraenkel(A,B) = k1_funct_2(A,B))) # label(redefinition_k1_fraenkel) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  60 (all A all B all C all 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))) # label(redefinition_k8_funct_2) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  61 (all A all B all C (-v1_xboole_0(B) & m1_fraenkel(C,A,B) -> (all D (m2_fraenkel(D,A,B,C) <-> m1_subset_1(D,C))))) # label(redefinition_m2_fraenkel) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  62 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  63 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  64 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  65 (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)))))))))))) # label(t25_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  66 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  67 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  68 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  69 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  70 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  71 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  72 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  73 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.73/1.03  74 -(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)))))))))) # label(t2_rmod_5) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.73/1.03  
% 0.73/1.03  ============================== end of process non-clausal formulas ===
% 0.73/1.03  
% 0.73/1.03  ============================== PROCESS INITIAL CLAUSES ===============
% 0.73/1.03  
% 0.73/1.03  ============================== PREDICATE ELIMINATION =================
% 0.73/1.03  75 v4_group_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 0.73/1.03  76 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) | k1_rlvect_1(B) != k5_rmod_4(A,B,D) | k2_rmod_4(A,B,D) = k1_xboole_0 # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 0.73/1.03  77 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) # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 0.73/1.03  78 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) | k1_rlvect_1(B) = k5_rmod_4(A,B,f1(A,B,C)) # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 0.73/1.03  79 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 # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 0.73/1.03  80 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) | a_3_0_rmod_4(A,B,C) = k2_rmod_4(A,B,C) # label(d5_rmod_4) # label(axiom).  [clausify(4)].
% 0.73/1.03  81 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)) # label(dt_k2_rmod_4) # label(axiom).  [clausify(11)].
% 0.73/1.03  82 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))) # label(dt_k2_rmod_4) # label(axiom).  [clausify(11)].
% 0.73/1.03  83 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)) # label(dt_k5_rmod_4) # label(axiom).  [clausify(13)].
% 0.73/1.03  84 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))) # label(dt_m1_rmod_4) # label(axiom).  [clausify(25)].
% 0.73/1.03  85 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) # label(dt_m2_rmod_4) # label(axiom).  [clausify(29)].
% 0.73/1.03  86 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) # label(existence_m1_rmod_4) # label(axiom).  [clausify(41)].
% 0.73/1.03  87 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) # label(existence_m2_rmod_4) # label(axiom).  [clausify(45)].
% 0.73/1.03  88 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)) # label(fraenkel_a_3_0_rmod_4) # label(axiom).  [clausify(49)].
% 0.73/1.03  89 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 # label(fraenkel_a_3_0_rmod_4) # label(axiom).  [clausify(49)].
% 0.73/1.03  90 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) # label(fraenkel_a_3_0_rmod_4) # label(axiom).  [clausify(49)].
% 0.73/1.03  91 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)) | E != D | k8_funct_2(u1_struct_0(B),u1_struct_0(A),C,E) = k1_rlvect_1(A) # label(fraenkel_a_3_0_rmod_4) # label(axiom).  [clausify(49)].
% 0.73/1.03  92 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) # label(t25_rmod_4) # label(axiom).  [clausify(65)].
% 0.73/1.03  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -v1_rmod_5(B,c12,A) | -m2_rmod_4(C,c12,A,B) | k1_rlvect_1(A) != k5_rmod_4(c12,A,C) | k2_rmod_4(c12,A,C) = k1_xboole_0.  [resolve(75,a,76,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | m2_rmod_4(f1(c12,A,B),c12,A,B).  [resolve(75,a,77,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | k1_rlvect_1(A) = k5_rmod_4(c12,A,f1(c12,A,B)).  [resolve(75,a,78,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | k2_rmod_4(c12,A,f1(c12,A,B)) != k1_xboole_0.  [resolve(75,a,79,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | a_3_0_rmod_4(c12,A,B) = k2_rmod_4(c12,A,B).  [resolve(75,a,80,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | v1_finset_1(k2_rmod_4(c12,A,B)).  [resolve(75,a,81,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | m1_subset_1(k2_rmod_4(c12,A,B),k1_zfmisc_1(u1_struct_0(A))).  [resolve(75,a,82,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | m1_subset_1(k5_rmod_4(c12,A,B),u1_struct_0(A)).  [resolve(75,a,83,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | m2_fraenkel(B,u1_struct_0(A),u1_struct_0(c12),k1_fraenkel(u1_struct_0(A),u1_struct_0(c12))).  [resolve(75,a,84,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(C,c12,A,B) | m1_rmod_4(C,c12,A).  [resolve(75,a,85,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | m1_rmod_4(f5(c12,A),c12,A).  [resolve(75,a,86,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_rmod_4(f9(c12,A,B),c12,A,B).  [resolve(75,a,87,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | -r2_hidden(C,a_3_0_rmod_4(c12,A,B)) | m1_subset_1(f10(C,c12,A,B),u1_struct_0(A)).  [resolve(75,a,88,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | -r2_hidden(C,a_3_0_rmod_4(c12,A,B)) | f10(C,c12,A,B) = C.  [resolve(75,a,89,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | -r2_hidden(C,a_3_0_rmod_4(c12,A,B)) | k8_funct_2(u1_struct_0(A),u1_struct_0(c12),B,f10(C,c12,A,B)) != k1_rlvect_1(c12).  [resolve(75,a,90,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | r2_hidden(C,a_3_0_rmod_4(c12,A,B)) | -m1_subset_1(D,u1_struct_0(A)) | D != C | k8_funct_2(u1_struct_0(A),u1_struct_0(c12),B,D) = k1_rlvect_1(c12).  [resolve(75,a,91,f)].
% 0.73/1.04  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(D,c12,A,B) | -r1_tarski(B,C) | m2_rmod_4(D,c12,A,C).  [resolve(75,a,92,f)].
% 0.73/1.04  93 -m1_fraenkel(A,B,C) | -v1_xboole_0(A) # label(dt_m1_fraenkel) # label(axiom).  [clausify(23)].
% 0.73/1.04  94 v1_xboole_0(A) | m1_fraenkel(k1_fraenkel(B,A),B,A) # label(dt_k1_fraenkel) # label(axiom).  [clausify(5)].
% 0.73/1.04  Derived: -v1_xboole_0(k1_fraenkel(A,B)) | v1_xboole_0(B).  [resolve(93,a,94,b)].
% 0.73/1.04  95 -m1_fraenkel(A,B,C) | v1_fraenkel(A) # label(dt_m1_fraenkel) # label(axiom).  [clausify(23)].
% 0.73/1.04  Derived: v1_fraenkel(k1_fraenkel(A,B)) | v1_xboole_0(B).  [resolve(95,a,94,b)].
% 0.73/1.04  96 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_1(D) # label(dt_m2_fraenkel) # label(axiom).  [clausify(27)].
% 0.73/1.04  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_1(B) | v1_xboole_0(A).  [resolve(96,b,94,b)].
% 0.73/1.04  97 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | v1_funct_2(D,C,A) # label(dt_m2_fraenkel) # label(axiom).  [clausify(27)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_2(B,C,A) | v1_xboole_0(A).  [resolve(97,b,94,b)].
% 0.73/1.05  98 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m2_relset_1(D,C,A) # label(dt_m2_fraenkel) # label(axiom).  [clausify(27)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | m2_relset_1(B,C,A) | v1_xboole_0(A).  [resolve(98,b,94,b)].
% 0.73/1.05  99 m1_fraenkel(f3(A,B),A,B) # label(existence_m1_fraenkel) # label(axiom).  [clausify(39)].
% 0.73/1.05  Derived: -v1_xboole_0(f3(A,B)).  [resolve(99,a,93,a)].
% 0.73/1.05  Derived: v1_fraenkel(f3(A,B)).  [resolve(99,a,95,a)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_funct_1(B).  [resolve(99,a,96,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_funct_2(B,C,A).  [resolve(99,a,97,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | m2_relset_1(B,C,A).  [resolve(99,a,98,b)].
% 0.73/1.05  100 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(f7(C,A,B),C,A,B) # label(existence_m2_fraenkel) # label(axiom).  [clausify(43)].
% 0.73/1.05  Derived: v1_xboole_0(A) | m2_fraenkel(f7(B,A,k1_fraenkel(B,A)),B,A,k1_fraenkel(B,A)) | v1_xboole_0(A).  [resolve(100,b,94,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | m2_fraenkel(f7(B,A,f3(B,A)),B,A,f3(B,A)).  [resolve(100,b,99,a)].
% 0.73/1.05  101 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | -m2_fraenkel(D,C,A,B) | m1_subset_1(D,B) # label(redefinition_m2_fraenkel) # label(axiom).  [clausify(61)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | m1_subset_1(B,k1_fraenkel(C,A)) | v1_xboole_0(A).  [resolve(101,b,94,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | m1_subset_1(B,f3(C,A)).  [resolve(101,b,99,a)].
% 0.73/1.05  102 v1_xboole_0(A) | -m1_fraenkel(B,C,A) | m2_fraenkel(D,C,A,B) | -m1_subset_1(D,B) # label(redefinition_m2_fraenkel) # label(axiom).  [clausify(61)].
% 0.73/1.05  Derived: v1_xboole_0(A) | m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | -m1_subset_1(B,k1_fraenkel(C,A)) | v1_xboole_0(A).  [resolve(102,b,94,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | m2_fraenkel(B,C,A,f3(C,A)) | -m1_subset_1(B,f3(C,A)).  [resolve(102,b,99,a)].
% 0.73/1.05  103 -l1_rlvect_1(A) | l2_struct_0(A) # label(dt_l1_rlvect_1) # label(axiom).  [clausify(16)].
% 0.73/1.05  104 -l2_struct_0(A) | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) # label(dt_k1_rlvect_1) # label(axiom).  [clausify(8)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)).  [resolve(103,b,104,a)].
% 0.73/1.05  105 -l2_struct_0(A) | l1_struct_0(A) # label(dt_l2_struct_0) # label(axiom).  [clausify(20)].
% 0.73/1.05  Derived: l1_struct_0(A) | -l1_rlvect_1(A).  [resolve(105,a,103,b)].
% 0.73/1.05  106 -l2_vectsp_1(A) | l2_struct_0(A) # label(dt_l2_vectsp_1) # label(axiom).  [clausify(21)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)).  [resolve(106,b,104,a)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | l1_struct_0(A).  [resolve(106,b,105,a)].
% 0.73/1.05  107 l2_struct_0(c5) # label(existence_l2_struct_0) # label(axiom).  [clausify(36)].
% 0.73/1.05  Derived: m1_subset_1(k1_rlvect_1(c5),u1_struct_0(c5)).  [resolve(107,a,104,a)].
% 0.73/1.05  Derived: l1_struct_0(c5).  [resolve(107,a,105,a)].
% 0.73/1.05  108 l2_struct_0(c11) # label(rc4_struct_0) # label(axiom).  [clausify(56)].
% 0.73/1.05  Derived: m1_subset_1(k1_rlvect_1(c11),u1_struct_0(c11)).  [resolve(108,a,104,a)].
% 0.73/1.05  Derived: l1_struct_0(c11).  [resolve(108,a,105,a)].
% 0.73/1.05  109 v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_funct_1(B) | v1_xboole_0(A).  [resolve(96,b,94,b)].
% 0.73/1.05  110 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) # label(dt_k8_funct_2) # label(axiom).  [clausify(14)].
% 0.73/1.05  111 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) | k1_funct_1(B,D) = k8_funct_2(A,C,B,D) # label(redefinition_k8_funct_2) # label(axiom).  [clausify(60)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | m1_subset_1(k8_funct_2(D,E,B,F),E).  [resolve(109,c,110,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | k1_funct_1(B,F) = k8_funct_2(D,E,B,F).  [resolve(109,c,111,b)].
% 0.73/1.05  112 v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_funct_1(B).  [resolve(99,a,96,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | m1_subset_1(k8_funct_2(D,E,B,F),E).  [resolve(112,c,110,b)].
% 0.73/1.05  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | k1_funct_1(B,F) = k8_funct_2(D,E,B,F).  [resolve(112,c,111,b)].
% 0.73/1.05  113 -l1_vectsp_1(A) | l1_group_1(A) # label(dt_l1_vectsp_1) # label(axiom).  [clausify(18)].
% 0.73/1.05  114 -l1_group_1(A) | l1_struct_0(A) # label(dt_l1_group_1) # label(axiom).  [clausify(15)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | l1_struct_0(A).  [resolve(113,b,114,a)].
% 0.73/1.05  115 l1_group_1(c1) # label(existence_l1_group_1) # label(axiom).  [clausify(31)].
% 0.73/1.05  Derived: l1_struct_0(c1).  [resolve(115,a,114,a)].
% 0.73/1.05  116 l1_struct_0(c3) # label(existence_l1_struct_0) # label(axiom).  [clausify(33)].
% 0.73/1.05  117 -l1_struct_0(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B) # label(dt_l1_vectsp_2) # label(axiom).  [clausify(19)].
% 0.73/1.05  Derived: -l1_vectsp_2(A,c3) | l1_rlvect_1(A).  [resolve(116,a,117,a)].
% 0.73/1.05  118 -l1_struct_0(A) | l1_vectsp_2(f2(A),A) # label(existence_l1_vectsp_2) # label(axiom).  [clausify(35)].
% 0.73/1.05  Derived: l1_vectsp_2(f2(c3),c3).  [resolve(118,a,116,a)].
% 0.73/1.05  119 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom).  [clausify(46)].
% 0.73/1.05  Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)).  [resolve(119,b,116,a)].
% 0.73/1.05  120 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc2_rlvect_2) # label(axiom).  [clausify(52)].
% 0.73/1.05  Derived: v3_struct_0(c3) | m1_subset_1(f12(c3),k1_zfmisc_1(u1_struct_0(c3))).  [resolve(120,b,116,a)].
% 0.73/1.05  121 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f12(A)) # label(rc2_rlvect_2) # label(axiom).  [clausify(52)].
% 0.73/1.05  Derived: v3_struct_0(c3) | -v1_xboole_0(f12(c3)).  [resolve(121,b,116,a)].
% 0.73/1.05  122 v3_struct_0(A) | -l1_struct_0(A) | v1_finset_1(f12(A)) # label(rc2_rlvect_2) # label(axiom).  [clausify(52)].
% 0.73/1.05  Derived: v3_struct_0(c3) | v1_finset_1(f12(c3)).  [resolve(122,b,116,a)].
% 0.73/1.05  123 l1_struct_0(c10) # label(rc3_struct_0) # label(axiom).  [clausify(55)].
% 0.73/1.05  Derived: -l1_vectsp_2(A,c10) | l1_rlvect_1(A).  [resolve(123,a,117,a)].
% 0.73/1.05  Derived: l1_vectsp_2(f2(c10),c10).  [resolve(123,a,118,a)].
% 0.73/1.05  Derived: v3_struct_0(c10) | -v1_xboole_0(u1_struct_0(c10)).  [resolve(123,a,119,b)].
% 0.73/1.05  Derived: v3_struct_0(c10) | m1_subset_1(f12(c10),k1_zfmisc_1(u1_struct_0(c10))).  [resolve(123,a,120,b)].
% 0.73/1.05  Derived: v3_struct_0(c10) | -v1_xboole_0(f12(c10)).  [resolve(123,a,121,b)].
% 0.73/1.05  Derived: v3_struct_0(c10) | v1_finset_1(f12(c10)).  [resolve(123,a,122,b)].
% 0.73/1.05  124 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom).  [clausify(57)].
% 0.73/1.05  Derived: v3_struct_0(c3) | m1_subset_1(f14(c3),k1_zfmisc_1(u1_struct_0(c3))).  [resolve(124,b,116,a)].
% 0.73/1.05  Derived: v3_struct_0(c10) | m1_subset_1(f14(c10),k1_zfmisc_1(u1_struct_0(c10))).  [resolve(124,b,123,a)].
% 0.73/1.05  125 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f14(A)) # label(rc5_struct_0) # label(axiom).  [clausify(57)].
% 0.73/1.05  Derived: v3_struct_0(c3) | -v1_xboole_0(f14(c3)).  [resolve(125,b,116,a)].
% 0.73/1.05  Derived: v3_struct_0(c10) | -v1_xboole_0(f14(c10)).  [resolve(125,b,123,a)].
% 0.73/1.05  126 -l1_struct_0(A) | l1_vectsp_2(f15(A),A) # label(rc9_vectsp_2) # label(axiom).  [clausify(58)].
% 0.73/1.05  Derived: l1_vectsp_2(f15(c3),c3).  [resolve(126,a,116,a)].
% 0.73/1.05  Derived: l1_vectsp_2(f15(c10),c10).  [resolve(126,a,123,a)].
% 0.73/1.05  127 -l1_struct_0(A) | -v3_struct_0(f15(A)) # label(rc9_vectsp_2) # label(axiom).  [clausify(58)].
% 0.73/1.05  Derived: -v3_struct_0(f15(c3)).  [resolve(127,a,116,a)].
% 0.73/1.05  Derived: -v3_struct_0(f15(c10)).  [resolve(127,a,123,a)].
% 0.73/1.05  128 l1_struct_0(A) | -l1_rlvect_1(A).  [resolve(105,a,103,b)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B).  [resolve(128,a,117,a)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | l1_vectsp_2(f2(A),A).  [resolve(128,a,118,a)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)).  [resolve(128,a,119,b)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(128,a,120,b)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | v3_struct_0(A) | -v1_xboole_0(f12(A)).  [resolve(128,a,121,b)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | v3_struct_0(A) | v1_finset_1(f12(A)).  [resolve(128,a,122,b)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(128,a,124,b)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | v3_struct_0(A) | -v1_xboole_0(f14(A)).  [resolve(128,a,125,b)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | l1_vectsp_2(f15(A),A).  [resolve(128,a,126,a)].
% 0.73/1.05  Derived: -l1_rlvect_1(A) | -v3_struct_0(f15(A)).  [resolve(128,a,127,a)].
% 0.73/1.05  129 -l2_vectsp_1(A) | l1_struct_0(A).  [resolve(106,b,105,a)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B).  [resolve(129,b,117,a)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | l1_vectsp_2(f2(A),A).  [resolve(129,b,118,a)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)).  [resolve(129,b,119,b)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(129,b,120,b)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f12(A)).  [resolve(129,b,121,b)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | v3_struct_0(A) | v1_finset_1(f12(A)).  [resolve(129,b,122,b)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(129,b,124,b)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f14(A)).  [resolve(129,b,125,b)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | l1_vectsp_2(f15(A),A).  [resolve(129,b,126,a)].
% 0.73/1.05  Derived: -l2_vectsp_1(A) | -v3_struct_0(f15(A)).  [resolve(129,b,127,a)].
% 0.73/1.05  130 l1_struct_0(c5).  [resolve(107,a,105,a)].
% 0.73/1.05  Derived: -l1_vectsp_2(A,c5) | l1_rlvect_1(A).  [resolve(130,a,117,a)].
% 0.73/1.05  Derived: l1_vectsp_2(f2(c5),c5).  [resolve(130,a,118,a)].
% 0.73/1.05  Derived: v3_struct_0(c5) | -v1_xboole_0(u1_struct_0(c5)).  [resolve(130,a,119,b)].
% 0.73/1.05  Derived: v3_struct_0(c5) | m1_subset_1(f12(c5),k1_zfmisc_1(u1_struct_0(c5))).  [resolve(130,a,120,b)].
% 0.73/1.05  Derived: v3_struct_0(c5) | -v1_xboole_0(f12(c5)).  [resolve(130,a,121,b)].
% 0.73/1.05  Derived: v3_struct_0(c5) | v1_finset_1(f12(c5)).  [resolve(130,a,122,b)].
% 0.73/1.05  Derived: v3_struct_0(c5) | m1_subset_1(f14(c5),k1_zfmisc_1(u1_struct_0(c5))).  [resolve(130,a,124,b)].
% 0.73/1.05  Derived: v3_struct_0(c5) | -v1_xboole_0(f14(c5)).  [resolve(130,a,125,b)].
% 0.73/1.05  Derived: l1_vectsp_2(f15(c5),c5).  [resolve(130,a,126,a)].
% 0.73/1.05  Derived: -v3_struct_0(f15(c5)).  [resolve(130,a,127,a)].
% 0.73/1.05  131 l1_struct_0(c11).  [resolve(108,a,105,a)].
% 0.73/1.05  Derived: -l1_vectsp_2(A,c11) | l1_rlvect_1(A).  [resolve(131,a,117,a)].
% 0.73/1.05  Derived: l1_vectsp_2(f2(c11),c11).  [resolve(131,a,118,a)].
% 0.73/1.05  Derived: v3_struct_0(c11) | -v1_xboole_0(u1_struct_0(c11)).  [resolve(131,a,119,b)].
% 0.73/1.05  Derived: v3_struct_0(c11) | m1_subset_1(f12(c11),k1_zfmisc_1(u1_struct_0(c11))).  [resolve(131,a,120,b)].
% 0.73/1.05  Derived: v3_struct_0(c11) | -v1_xboole_0(f12(c11)).  [resolve(131,a,121,b)].
% 0.73/1.05  Derived: v3_struct_0(c11) | v1_finset_1(f12(c11)).  [resolve(131,a,122,b)].
% 0.73/1.05  Derived: v3_struct_0(c11) | m1_subset_1(f14(c11),k1_zfmisc_1(u1_struct_0(c11))).  [resolve(131,a,124,b)].
% 0.73/1.05  Derived: v3_struct_0(c11) | -v1_xboole_0(f14(c11)).  [resolve(131,a,125,b)].
% 0.73/1.05  Derived: l1_vectsp_2(f15(c11),c11).  [resolve(131,a,126,a)].
% 0.73/1.05  Derived: -v3_struct_0(f15(c11)).  [resolve(131,a,127,a)].
% 0.73/1.05  132 -l1_vectsp_1(A) | l1_struct_0(A).  [resolve(113,b,114,a)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B).  [resolve(132,b,117,a)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | l1_vectsp_2(f2(A),A).  [resolve(132,b,118,a)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)).  [resolve(132,b,119,b)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(132,b,120,b)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f12(A)).  [resolve(132,b,121,b)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | v3_struct_0(A) | v1_finset_1(f12(A)).  [resolve(132,b,122,b)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(132,b,124,b)].
% 0.73/1.05  Derived: -l1_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f14(A)).  [resolve(132,b,125,b)].
% 0.73/1.06  Derived: -l1_vectsp_1(A) | l1_vectsp_2(f15(A),A).  [resolve(132,b,126,a)].
% 0.73/1.06  Derived: -l1_vectsp_1(A) | -v3_struct_0(f15(A)).  [resolve(132,b,127,a)].
% 0.73/1.06  133 l1_struct_0(c1).  [resolve(115,a,114,a)].
% 0.73/1.06  Derived: -l1_vectsp_2(A,c1) | l1_rlvect_1(A).  [resolve(133,a,117,a)].
% 0.73/1.06  Derived: l1_vectsp_2(f2(c1),c1).  [resolve(133,a,118,a)].
% 0.73/1.06  Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)).  [resolve(133,a,119,b)].
% 0.73/1.06  Derived: v3_struct_0(c1) | m1_subset_1(f12(c1),k1_zfmisc_1(u1_struct_0(c1))).  [resolve(133,a,120,b)].
% 0.73/1.06  Derived: v3_struct_0(c1) | -v1_xboole_0(f12(c1)).  [resolve(133,a,121,b)].
% 0.73/1.06  Derived: v3_struct_0(c1) | v1_finset_1(f12(c1)).  [resolve(133,a,122,b)].
% 0.73/1.06  Derived: v3_struct_0(c1) | m1_subset_1(f14(c1),k1_zfmisc_1(u1_struct_0(c1))).  [resolve(133,a,124,b)].
% 0.73/1.06  Derived: v3_struct_0(c1) | -v1_xboole_0(f14(c1)).  [resolve(133,a,125,b)].
% 0.73/1.06  Derived: l1_vectsp_2(f15(c1),c1).  [resolve(133,a,126,a)].
% 0.73/1.06  Derived: -v3_struct_0(f15(c1)).  [resolve(133,a,127,a)].
% 0.73/1.06  134 -l3_vectsp_1(A) | l2_vectsp_1(A) # label(dt_l3_vectsp_1) # label(axiom).  [clausify(22)].
% 0.73/1.06  135 -l2_vectsp_1(A) | l1_vectsp_1(A) # label(dt_l2_vectsp_1) # label(axiom).  [clausify(21)].
% 0.73/1.06  Derived: -l3_vectsp_1(A) | l1_vectsp_1(A).  [resolve(134,b,135,a)].
% 0.73/1.06  136 l2_vectsp_1(c6) # label(existence_l2_vectsp_1) # label(axiom).  [clausify(37)].
% 0.73/1.06  Derived: l1_vectsp_1(c6).  [resolve(136,a,135,a)].
% 0.73/1.06  137 -l2_vectsp_1(A) | m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)).  [resolve(106,b,104,a)].
% 0.73/1.06  Derived: m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) | -l3_vectsp_1(A).  [resolve(137,a,134,b)].
% 0.73/1.06  Derived: m1_subset_1(k1_rlvect_1(c6),u1_struct_0(c6)).  [resolve(137,a,136,a)].
% 0.73/1.06  138 -l2_vectsp_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B).  [resolve(129,b,117,a)].
% 0.73/1.06  Derived: -l1_vectsp_2(A,B) | l1_rlvect_1(A) | -l3_vectsp_1(B).  [resolve(138,a,134,b)].
% 0.73/1.06  Derived: -l1_vectsp_2(A,c6) | l1_rlvect_1(A).  [resolve(138,a,136,a)].
% 0.73/1.06  139 -l2_vectsp_1(A) | l1_vectsp_2(f2(A),A).  [resolve(129,b,118,a)].
% 0.73/1.06  Derived: l1_vectsp_2(f2(A),A) | -l3_vectsp_1(A).  [resolve(139,a,134,b)].
% 0.73/1.06  Derived: l1_vectsp_2(f2(c6),c6).  [resolve(139,a,136,a)].
% 0.73/1.06  140 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)).  [resolve(129,b,119,b)].
% 0.73/1.06  Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l3_vectsp_1(A).  [resolve(140,a,134,b)].
% 0.73/1.06  Derived: v3_struct_0(c6) | -v1_xboole_0(u1_struct_0(c6)).  [resolve(140,a,136,a)].
% 0.73/1.06  141 -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(129,b,120,b)].
% 0.73/1.06  Derived: v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A).  [resolve(141,a,134,b)].
% 0.73/1.06  Derived: v3_struct_0(c6) | m1_subset_1(f12(c6),k1_zfmisc_1(u1_struct_0(c6))).  [resolve(141,a,136,a)].
% 0.73/1.06  142 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f12(A)).  [resolve(129,b,121,b)].
% 0.73/1.06  Derived: v3_struct_0(A) | -v1_xboole_0(f12(A)) | -l3_vectsp_1(A).  [resolve(142,a,134,b)].
% 0.73/1.06  Derived: v3_struct_0(c6) | -v1_xboole_0(f12(c6)).  [resolve(142,a,136,a)].
% 0.73/1.06  143 -l2_vectsp_1(A) | v3_struct_0(A) | v1_finset_1(f12(A)).  [resolve(129,b,122,b)].
% 0.73/1.06  Derived: v3_struct_0(A) | v1_finset_1(f12(A)) | -l3_vectsp_1(A).  [resolve(143,a,134,b)].
% 0.73/1.06  Derived: v3_struct_0(c6) | v1_finset_1(f12(c6)).  [resolve(143,a,136,a)].
% 0.73/1.06  144 -l2_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(129,b,124,b)].
% 0.73/1.06  Derived: v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))) | -l3_vectsp_1(A).  [resolve(144,a,134,b)].
% 0.73/1.06  Derived: v3_struct_0(c6) | m1_subset_1(f14(c6),k1_zfmisc_1(u1_struct_0(c6))).  [resolve(144,a,136,a)].
% 0.73/1.06  145 -l2_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f14(A)).  [resolve(129,b,125,b)].
% 0.73/1.06  Derived: v3_struct_0(A) | -v1_xboole_0(f14(A)) | -l3_vectsp_1(A).  [resolve(145,a,134,b)].
% 0.73/1.06  Derived: v3_struct_0(c6) | -v1_xboole_0(f14(c6)).  [resolve(145,a,136,a)].
% 0.73/1.06  146 -l2_vectsp_1(A) | l1_vectsp_2(f15(A),A).  [resolve(129,b,126,a)].
% 0.73/1.06  Derived: l1_vectsp_2(f15(A),A) | -l3_vectsp_1(A).  [resolve(146,a,134,b)].
% 0.73/1.06  Derived: l1_vectsp_2(f15(c6),c6).  [resolve(146,a,136,a)].
% 0.73/1.06  147 -l2_vectsp_1(A) | -v3_struct_0(f15(A)).  [resolve(129,b,127,a)].
% 0.73/1.06  Derived: -v3_struct_0(f15(A)) | -l3_vectsp_1(A).  [resolve(147,a,134,b)].
% 0.73/1.07  Derived: -v3_struct_0(f15(c6)).  [resolve(147,a,136,a)].
% 0.73/1.07  148 m2_relset_1(f8(A,B),A,B) # label(existence_m2_relset_1) # label(axiom).  [clausify(44)].
% 0.73/1.07  149 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom).  [clausify(28)].
% 0.73/1.07  Derived: m1_subset_1(f8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))).  [resolve(148,a,149,a)].
% 0.73/1.07  150 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom).  [clausify(62)].
% 0.73/1.07  Derived: m1_relset_1(f8(A,B),A,B).  [resolve(150,a,148,a)].
% 0.73/1.07  151 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom).  [clausify(62)].
% 0.73/1.07  Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).  [resolve(151,a,149,a)].
% 0.73/1.07  152 v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | m2_relset_1(B,C,A) | v1_xboole_0(A).  [resolve(98,b,94,b)].
% 0.73/1.07  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,A))).  [resolve(152,c,149,a)].
% 0.73/1.07  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | m1_relset_1(B,C,A).  [resolve(152,c,150,a)].
% 0.73/1.07  153 v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | m2_relset_1(B,C,A).  [resolve(99,a,98,b)].
% 0.73/1.07  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,A))).  [resolve(153,c,149,a)].
% 0.73/1.07  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | m1_relset_1(B,C,A).  [resolve(153,c,150,a)].
% 0.73/1.07  154 -l1_vectsp_1(A) | -l1_vectsp_2(B,A) | l1_rlvect_1(B).  [resolve(132,b,117,a)].
% 0.73/1.07  155 l1_vectsp_1(c4) # label(existence_l1_vectsp_1) # label(axiom).  [clausify(34)].
% 0.73/1.07  Derived: -l1_vectsp_2(A,c4) | l1_rlvect_1(A).  [resolve(154,a,155,a)].
% 0.73/1.07  156 -l1_vectsp_1(A) | l1_vectsp_2(f2(A),A).  [resolve(132,b,118,a)].
% 0.73/1.07  Derived: l1_vectsp_2(f2(c4),c4).  [resolve(156,a,155,a)].
% 0.73/1.07  157 -l1_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)).  [resolve(132,b,119,b)].
% 0.73/1.07  Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)).  [resolve(157,a,155,a)].
% 0.73/1.07  158 -l1_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(132,b,120,b)].
% 0.73/1.07  Derived: v3_struct_0(c4) | m1_subset_1(f12(c4),k1_zfmisc_1(u1_struct_0(c4))).  [resolve(158,a,155,a)].
% 0.73/1.07  159 -l1_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f12(A)).  [resolve(132,b,121,b)].
% 0.73/1.07  Derived: v3_struct_0(c4) | -v1_xboole_0(f12(c4)).  [resolve(159,a,155,a)].
% 0.73/1.07  160 -l1_vectsp_1(A) | v3_struct_0(A) | v1_finset_1(f12(A)).  [resolve(132,b,122,b)].
% 0.73/1.07  Derived: v3_struct_0(c4) | v1_finset_1(f12(c4)).  [resolve(160,a,155,a)].
% 0.73/1.07  161 -l1_vectsp_1(A) | v3_struct_0(A) | m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))).  [resolve(132,b,124,b)].
% 0.73/1.07  Derived: v3_struct_0(c4) | m1_subset_1(f14(c4),k1_zfmisc_1(u1_struct_0(c4))).  [resolve(161,a,155,a)].
% 0.73/1.07  162 -l1_vectsp_1(A) | v3_struct_0(A) | -v1_xboole_0(f14(A)).  [resolve(132,b,125,b)].
% 0.73/1.07  Derived: v3_struct_0(c4) | -v1_xboole_0(f14(c4)).  [resolve(162,a,155,a)].
% 0.73/1.07  163 -l1_vectsp_1(A) | l1_vectsp_2(f15(A),A).  [resolve(132,b,126,a)].
% 0.73/1.07  Derived: l1_vectsp_2(f15(c4),c4).  [resolve(163,a,155,a)].
% 0.73/1.07  164 -l1_vectsp_1(A) | -v3_struct_0(f15(A)).  [resolve(132,b,127,a)].
% 0.73/1.07  Derived: -v3_struct_0(f15(c4)).  [resolve(164,a,155,a)].
% 0.73/1.07  165 -l3_vectsp_1(A) | l1_vectsp_1(A).  [resolve(134,b,135,a)].
% 0.73/1.07  166 l1_vectsp_1(c6).  [resolve(136,a,135,a)].
% 0.73/1.07  167 v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | m1_subset_1(k8_funct_2(D,E,B,F),E).  [resolve(109,c,110,b)].
% 0.73/1.07  168 m1_relset_1(f4(A,B),A,B) # label(existence_m1_relset_1) # label(axiom).  [clausify(40)].
% 0.73/1.07  Derived: v1_xboole_0(A) | -m2_fraenkel(f4(B,C),D,A,k1_fraenkel(D,A)) | v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(f4(B,C),B,C) | -m1_subset_1(E,B) | m1_subset_1(k8_funct_2(B,C,f4(B,C),E),C).  [resolve(167,f,168,a)].
% 0.73/1.07  169 v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | k1_funct_1(B,F) = k8_funct_2(D,E,B,F).  [resolve(109,c,111,b)].
% 0.73/1.07  Derived: v1_xboole_0(A) | -m2_fraenkel(f4(B,C),D,A,k1_fraenkel(D,A)) | v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(f4(B,C),B,C) | -m1_subset_1(E,B) | k1_funct_1(f4(B,C),E) = k8_funct_2(B,C,f4(B,C),E).  [resolve(169,f,168,a)].
% 0.73/1.08  170 v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | m1_subset_1(k8_funct_2(D,E,B,F),E).  [resolve(112,c,110,b)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(f4(B,C),D,A,f3(D,A)) | v1_xboole_0(B) | -v1_funct_2(f4(B,C),B,C) | -m1_subset_1(E,B) | m1_subset_1(k8_funct_2(B,C,f4(B,C),E),C).  [resolve(170,e,168,a)].
% 0.73/1.08  171 v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -v1_funct_2(B,D,E) | -m1_relset_1(B,D,E) | -m1_subset_1(F,D) | k1_funct_1(B,F) = k8_funct_2(D,E,B,F).  [resolve(112,c,111,b)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(f4(B,C),D,A,f3(D,A)) | v1_xboole_0(B) | -v1_funct_2(f4(B,C),B,C) | -m1_subset_1(E,B) | k1_funct_1(f4(B,C),E) = k8_funct_2(B,C,f4(B,C),E).  [resolve(171,e,168,a)].
% 0.73/1.08  172 m1_relset_1(f8(A,B),A,B).  [resolve(150,a,148,a)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(f8(B,C),D,A,k1_fraenkel(D,A)) | v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(f8(B,C),B,C) | -m1_subset_1(E,B) | m1_subset_1(k8_funct_2(B,C,f8(B,C),E),C).  [resolve(172,a,167,f)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(f8(B,C),D,A,k1_fraenkel(D,A)) | v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(f8(B,C),B,C) | -m1_subset_1(E,B) | k1_funct_1(f8(B,C),E) = k8_funct_2(B,C,f8(B,C),E).  [resolve(172,a,169,f)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(f8(B,C),D,A,f3(D,A)) | v1_xboole_0(B) | -v1_funct_2(f8(B,C),B,C) | -m1_subset_1(E,B) | m1_subset_1(k8_funct_2(B,C,f8(B,C),E),C).  [resolve(172,a,170,e)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(f8(B,C),D,A,f3(D,A)) | v1_xboole_0(B) | -v1_funct_2(f8(B,C),B,C) | -m1_subset_1(E,B) | k1_funct_1(f8(B,C),E) = k8_funct_2(B,C,f8(B,C),E).  [resolve(172,a,171,e)].
% 0.73/1.08  173 -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).  [resolve(151,a,149,a)].
% 0.73/1.08  Derived: m1_subset_1(f4(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))).  [resolve(173,a,168,a)].
% 0.73/1.08  Derived: m1_subset_1(f8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))).  [resolve(173,a,172,a)].
% 0.73/1.08  174 v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | m1_relset_1(B,C,A).  [resolve(152,c,150,a)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | v1_xboole_0(D) | -m2_fraenkel(B,E,D,k1_fraenkel(E,D)) | v1_xboole_0(D) | v1_xboole_0(C) | -v1_funct_2(B,C,A) | -m1_subset_1(F,C) | m1_subset_1(k8_funct_2(C,A,B,F),A).  [resolve(174,d,167,f)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | v1_xboole_0(D) | -m2_fraenkel(B,E,D,k1_fraenkel(E,D)) | v1_xboole_0(D) | v1_xboole_0(C) | -v1_funct_2(B,C,A) | -m1_subset_1(F,C) | k1_funct_1(B,F) = k8_funct_2(C,A,B,F).  [resolve(174,d,169,f)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,k1_fraenkel(C,A)) | v1_xboole_0(A) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,A))).  [resolve(174,d,173,a)].
% 0.73/1.08  175 v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | m1_relset_1(B,C,A).  [resolve(153,c,150,a)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -m2_fraenkel(B,E,D,k1_fraenkel(E,D)) | v1_xboole_0(D) | v1_xboole_0(C) | -v1_funct_2(B,C,A) | -m1_subset_1(F,C) | m1_subset_1(k8_funct_2(C,A,B,F),A).  [resolve(175,c,167,f)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -m2_fraenkel(B,E,D,k1_fraenkel(E,D)) | v1_xboole_0(D) | v1_xboole_0(C) | -v1_funct_2(B,C,A) | -m1_subset_1(F,C) | k1_funct_1(B,F) = k8_funct_2(C,A,B,F).  [resolve(175,c,169,f)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -m2_fraenkel(B,E,D,f3(E,D)) | v1_xboole_0(C) | -v1_funct_2(B,C,A) | -m1_subset_1(F,C) | m1_subset_1(k8_funct_2(C,A,B,F),A).  [resolve(175,c,170,e)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | v1_xboole_0(D) | -m2_fraenkel(B,E,D,f3(E,D)) | v1_xboole_0(C) | -v1_funct_2(B,C,A) | -m1_subset_1(F,C) | k1_funct_1(B,F) = k8_funct_2(C,A,B,F).  [resolve(175,c,171,e)].
% 0.73/1.08  Derived: v1_xboole_0(A) | -m2_fraenkel(B,C,A,f3(C,A)) | m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(C,A))).  [resolve(175,c,173,a)].
% 1.21/1.48  176 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom).  [clausify(68)].
% 1.21/1.48  177 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom).  [clausify(63)].
% 1.21/1.48  178 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom).  [clausify(68)].
% 1.21/1.48  Derived: m1_subset_1(A,k1_zfmisc_1(A)).  [resolve(176,b,177,a)].
% 1.21/1.48  179 r1_tarski(c14,c15) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  Derived: m1_subset_1(c14,k1_zfmisc_1(c15)).  [resolve(179,a,176,b)].
% 1.21/1.48  180 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(D,c12,A,B) | -r1_tarski(B,C) | m2_rmod_4(D,c12,A,C).  [resolve(75,a,92,f)].
% 1.21/1.48  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(D,c12,A,B) | m2_rmod_4(D,c12,A,C) | -m1_subset_1(B,k1_zfmisc_1(C)).  [resolve(180,t,178,b)].
% 1.21/1.48  Derived: v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(c14,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(c15,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(B,c12,A,c14) | m2_rmod_4(B,c12,A,c15).  [resolve(180,t,179,a)].
% 1.21/1.48  
% 1.21/1.48  ============================== end predicate elimination =============
% 1.21/1.48  
% 1.21/1.48  Auto_denials:  (non-Horn, no changes).
% 1.21/1.48  
% 1.21/1.48  Term ordering decisions:
% 1.21/1.48  Function symbol KB weights:  k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. k1_fraenkel=1. k2_zfmisc_1=1. k1_funct_1=1. k1_funct_2=1. f3=1. f4=1. f5=1. f8=1. f16=1. u1_struct_0=1. k1_zfmisc_1=1. k1_rlvect_1=1. f2=1. f6=1. f11=1. f12=1. f13=1. f14=1. f15=1. a_3_0_rmod_4=1. k2_rmod_4=1. k5_rmod_4=1. f1=1. f7=1. f9=1. k8_funct_2=1. f10=1.
% 1.21/1.48  
% 1.21/1.48  ============================== end of process initial clauses ========
% 1.21/1.48  
% 1.21/1.48  ============================== CLAUSES FOR SEARCH ====================
% 1.21/1.48  
% 1.21/1.48  ============================== end of clauses for search =============
% 1.21/1.48  
% 1.21/1.48  ============================== SEARCH ================================
% 1.21/1.48  
% 1.21/1.48  % Starting search at 0.10 seconds.
% 1.21/1.48  
% 1.21/1.48  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 27 (0.00 of 0.22 sec).
% 1.21/1.48  
% 1.21/1.48  Low Water (keep): wt=29.000, iters=3823
% 1.21/1.48  
% 1.21/1.48  Low Water (keep): wt=27.000, iters=3701
% 1.21/1.48  
% 1.21/1.48  Low Water (keep): wt=25.000, iters=3606
% 1.21/1.48  
% 1.21/1.48  Low Water (keep): wt=23.000, iters=3471
% 1.21/1.48  
% 1.21/1.48  Low Water (keep): wt=21.000, iters=3344
% 1.21/1.48  
% 1.21/1.48  Low Water (keep): wt=19.000, iters=3335
% 1.21/1.48  
% 1.21/1.48  ============================== PROOF =================================
% 1.21/1.48  % SZS status Theorem
% 1.21/1.48  % SZS output start Refutation
% 1.21/1.48  
% 1.21/1.48  % Proof 1 at 0.46 (+ 0.01) seconds.
% 1.21/1.48  % Length of proof is 60.
% 1.21/1.48  % Level of proof is 9.
% 1.21/1.48  % Maximum clause weight is 43.000.
% 1.21/1.48  % Given clauses 1275.
% 1.21/1.48  
% 1.21/1.48  3 (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)))))))))) # label(d1_rmod_5) # label(axiom) # label(non_clause).  [assumption].
% 1.21/1.48  4 (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))))))) # label(d5_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 1.21/1.48  29 (all A all B all 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))))) # label(dt_m2_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 1.21/1.48  65 (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)))))))))))) # label(t25_rmod_4) # label(axiom) # label(non_clause).  [assumption].
% 1.21/1.48  74 -(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)))))))))) # label(t2_rmod_5) # label(negated_conjecture) # label(non_clause).  [assumption].
% 1.21/1.48  75 v4_group_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  76 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) | k1_rlvect_1(B) != k5_rmod_4(A,B,D) | k2_rmod_4(A,B,D) = k1_xboole_0 # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 1.21/1.48  77 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) # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 1.21/1.48  78 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) | k1_rlvect_1(B) = k5_rmod_4(A,B,f1(A,B,C)) # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 1.21/1.48  79 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 # label(d1_rmod_5) # label(axiom).  [clausify(3)].
% 1.21/1.48  80 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) | a_3_0_rmod_4(A,B,C) = k2_rmod_4(A,B,C) # label(d5_rmod_4) # label(axiom).  [clausify(4)].
% 1.21/1.48  85 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) # label(dt_m2_rmod_4) # label(axiom).  [clausify(29)].
% 1.21/1.48  92 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) # label(t25_rmod_4) # label(axiom).  [clausify(65)].
% 1.21/1.48  179 r1_tarski(c14,c15) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  180 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(D,c12,A,B) | -r1_tarski(B,C) | m2_rmod_4(D,c12,A,C).  [resolve(75,a,92,f)].
% 1.21/1.48  207 -v3_struct_0(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  208 v3_rlvect_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  209 v4_rlvect_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  210 v5_rlvect_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  211 v6_rlvect_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  212 v6_vectsp_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  213 v7_vectsp_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  214 v8_vectsp_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  215 l3_vectsp_1(c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  216 -v3_struct_0(c13) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  217 v3_rlvect_1(c13) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  218 v4_rlvect_1(c13) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  219 v5_rlvect_1(c13) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  220 v6_rlvect_1(c13) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  221 v5_vectsp_2(c13,c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  222 l1_vectsp_2(c13,c12) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  223 m1_subset_1(c14,k1_zfmisc_1(u1_struct_0(c13))) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  224 m1_subset_1(c15,k1_zfmisc_1(u1_struct_0(c13))) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  225 v1_rmod_5(c15,c12,c13) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  226 -v1_rmod_5(c14,c12,c13) # label(t2_rmod_5) # label(negated_conjecture).  [clausify(74)].
% 1.21/1.48  227 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -v1_rmod_5(B,c12,A) | -m2_rmod_4(C,c12,A,B) | k1_rlvect_1(A) != k5_rmod_4(c12,A,C) | k2_rmod_4(c12,A,C) = k1_xboole_0.  [resolve(75,a,76,f)].
% 1.21/1.48  228 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -v1_rmod_5(B,c12,A) | -m2_rmod_4(C,c12,A,B) | k5_rmod_4(c12,A,C) != k1_rlvect_1(A) | k2_rmod_4(c12,A,C) = k1_xboole_0.  [copy(227),flip(t),unit_del(a,207),unit_del(b,208),unit_del(c,209),unit_del(d,210),unit_del(e,211),unit_del(f,212),unit_del(g,213),unit_del(h,214),unit_del(i,215)].
% 1.21/1.48  229 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | m2_rmod_4(f1(c12,A,B),c12,A,B).  [resolve(75,a,77,f)].
% 1.21/1.48  230 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | m2_rmod_4(f1(c12,A,B),c12,A,B).  [copy(229),unit_del(a,207),unit_del(b,208),unit_del(c,209),unit_del(d,210),unit_del(e,211),unit_del(f,212),unit_del(g,213),unit_del(h,214),unit_del(i,215)].
% 1.21/1.48  231 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | k1_rlvect_1(A) = k5_rmod_4(c12,A,f1(c12,A,B)).  [resolve(75,a,78,f)].
% 1.21/1.48  232 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | k5_rmod_4(c12,A,f1(c12,A,B)) = k1_rlvect_1(A).  [copy(231),flip(s),unit_del(a,207),unit_del(b,208),unit_del(c,209),unit_del(d,210),unit_del(e,211),unit_del(f,212),unit_del(g,213),unit_del(h,214),unit_del(i,215)].
% 1.21/1.48  233 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | k2_rmod_4(c12,A,f1(c12,A,B)) != k1_xboole_0.  [resolve(75,a,79,f)].
% 1.21/1.48  234 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_rmod_5(B,c12,A) | k2_rmod_4(c12,A,f1(c12,A,B)) != k1_xboole_0.  [copy(233),unit_del(a,207),unit_del(b,208),unit_del(c,209),unit_del(d,210),unit_del(e,211),unit_del(f,212),unit_del(g,213),unit_del(h,214),unit_del(i,215)].
% 1.21/1.48  235 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | a_3_0_rmod_4(c12,A,B) = k2_rmod_4(c12,A,B).  [resolve(75,a,80,f)].
% 1.21/1.48  236 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_rmod_4(B,c12,A) | k2_rmod_4(c12,A,B) = a_3_0_rmod_4(c12,A,B).  [copy(235),flip(r),unit_del(a,207),unit_del(b,208),unit_del(c,209),unit_del(d,210),unit_del(e,211),unit_del(f,212),unit_del(g,213),unit_del(h,214),unit_del(i,215)].
% 1.21/1.48  243 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(C,c12,A,B) | m1_rmod_4(C,c12,A).  [resolve(75,a,85,f)].
% 1.21/1.48  244 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(C,c12,A,B) | m1_rmod_4(C,c12,A).  [copy(243),unit_del(a,207),unit_del(b,208),unit_del(c,209),unit_del(d,210),unit_del(e,211),unit_del(f,212),unit_del(g,213),unit_del(h,214),unit_del(i,215)].
% 1.21/1.48  402 v3_struct_0(c12) | -v3_rlvect_1(c12) | -v4_rlvect_1(c12) | -v5_rlvect_1(c12) | -v6_rlvect_1(c12) | -v6_vectsp_1(c12) | -v7_vectsp_1(c12) | -v8_vectsp_1(c12) | -l3_vectsp_1(c12) | v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(c14,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(c15,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(B,c12,A,c14) | m2_rmod_4(B,c12,A,c15).  [resolve(180,t,179,a)].
% 1.21/1.48  403 v3_struct_0(A) | -v3_rlvect_1(A) | -v4_rlvect_1(A) | -v5_rlvect_1(A) | -v6_rlvect_1(A) | -v5_vectsp_2(A,c12) | -l1_vectsp_2(A,c12) | -m1_subset_1(c14,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(c15,k1_zfmisc_1(u1_struct_0(A))) | -m2_rmod_4(B,c12,A,c14) | m2_rmod_4(B,c12,A,c15).  [copy(402),unit_del(a,207),unit_del(b,208),unit_del(c,209),unit_del(d,210),unit_del(e,211),unit_del(f,212),unit_del(g,213),unit_del(h,214),unit_del(i,215)].
% 1.21/1.48  468 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_rmod_5(A,c12,c13) | m2_rmod_4(f1(c12,c13,A),c12,c13,A).  [resolve(230,f,221,a),unit_del(a,216),unit_del(b,217),unit_del(c,218),unit_del(d,219),unit_del(e,220),unit_del(f,222)].
% 1.21/1.48  469 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_rmod_5(A,c12,c13) | k5_rmod_4(c12,c13,f1(c12,c13,A)) = k1_rlvect_1(c13).  [resolve(232,f,221,a),unit_del(a,216),unit_del(b,217),unit_del(c,218),unit_del(d,219),unit_del(e,220),unit_del(f,222)].
% 1.21/1.48  470 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_rmod_5(A,c12,c13) | k2_rmod_4(c12,c13,f1(c12,c13,A)) != k1_xboole_0.  [resolve(234,f,221,a),unit_del(a,216),unit_del(b,217),unit_del(c,218),unit_del(d,219),unit_del(e,220),unit_del(f,222)].
% 1.21/1.48  1456 m2_rmod_4(f1(c12,c13,c14),c12,c13,c14).  [resolve(468,a,223,a),unit_del(a,226)].
% 1.21/1.48  1500 k5_rmod_4(c12,c13,f1(c12,c13,c14)) = k1_rlvect_1(c13).  [resolve(469,a,223,a),unit_del(a,226)].
% 1.21/1.48  1544 k2_rmod_4(c12,c13,f1(c12,c13,c14)) != k1_xboole_0.  [resolve(470,a,223,a),unit_del(a,226)].
% 1.21/1.48  3150 m2_rmod_4(f1(c12,c13,c14),c12,c13,c15).  [resolve(1456,a,403,j),unit_del(a,216),unit_del(b,217),unit_del(c,218),unit_del(d,219),unit_del(e,220),unit_del(f,221),unit_del(g,222),unit_del(h,223),unit_del(i,224)].
% 1.21/1.48  3152 m1_rmod_4(f1(c12,c13,c14),c12,c13).  [resolve(1456,a,244,i),unit_del(a,216),unit_del(b,217),unit_del(c,218),unit_del(d,219),unit_del(e,220),unit_del(f,221),unit_del(g,222),unit_del(h,223)].
% 1.21/1.48  3171 k2_rmod_4(c12,c13,f1(c12,c13,c14)) = a_3_0_rmod_4(c12,c13,f1(c12,c13,c14)).  [resolve(3152,a,236,h),unit_del(a,216),unit_del(b,217),unit_del(c,218),unit_del(d,219),unit_del(e,220),unit_del(f,221),unit_del(g,222)].
% 1.21/1.48  3173 a_3_0_rmod_4(c12,c13,f1(c12,c13,c14)) != k1_xboole_0.  [back_rewrite(1544),rewrite([3171(7)])].
% 1.21/1.48  5563 $F.  [resolve(3150,a,228,j),rewrite([1500(32),3171(37)]),xx(j),unit_del(a,216),unit_del(b,217),unit_del(c,218),unit_del(d,219),unit_del(e,220),unit_del(f,221),unit_del(g,222),unit_del(h,224),unit_del(i,225),unit_del(j,3173)].
% 1.21/1.48  
% 1.21/1.48  % SZS output end Refutation
% 1.21/1.48  ============================== end of proof ==========================
% 1.21/1.48  
% 1.21/1.48  ============================== STATISTICS ============================
% 1.21/1.48  
% 1.21/1.48  Given=1275. Generated=6770. Kept=5338. proofs=1.
% 1.21/1.48  Usable=1270. Sos=3982. Demods=1618. Limbo=1, Disabled=386. Hints=0.
% 1.21/1.48  Megabytes=6.83.
% 1.21/1.48  User_CPU=0.46, System_CPU=0.01, Wall_clock=1.
% 1.21/1.48  
% 1.21/1.48  ============================== end of statistics =====================
% 1.21/1.48  
% 1.21/1.48  ============================== end of search =========================
% 1.21/1.48  
% 1.21/1.48  THEOREM PROVED
% 1.21/1.48  % SZS status Theorem
% 1.21/1.48  
% 1.21/1.48  Exiting with 1 proof.
% 1.21/1.48  
% 1.21/1.48  Process 26234 exit (max_proofs) Wed Jun  8 12:01:52 2022
% 1.21/1.48  Prover9 interrupted
%------------------------------------------------------------------------------