%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : LAT347+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n014.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 : Sun Jul 17 06:27:57 EDT 2022

% Result   : Theorem 4.96s 5.27s
% Output   : Refutation 4.96s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : LAT347+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12  % Command  : tptp2X_and_run_prover9 %d %s
% 0.12/0.33  % Computer : n014.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 29 01:02:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.41/0.98  ============================== Prover9 ===============================
% 0.41/0.98  Prover9 (32) version 2009-11A, November 2009.
% 0.41/0.98  Process 28051 was started by sandbox on n014.cluster.edu,
% 0.41/0.98  Wed Jun 29 01:02:13 2022
% 0.41/0.98  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_27896_n014.cluster.edu".
% 0.41/0.98  ============================== end of head ===========================
% 0.41/0.98  
% 0.41/0.98  ============================== INPUT =================================
% 0.41/0.98  
% 0.41/0.98  % Reading from file /tmp/Prover9_27896_n014.cluster.edu
% 0.41/0.98  
% 0.41/0.98  set(prolog_style_variables).
% 0.41/0.98  set(auto2).
% 0.41/0.98      % set(auto2) -> set(auto).
% 0.41/0.98      % set(auto) -> set(auto_inference).
% 0.41/0.98      % set(auto) -> set(auto_setup).
% 0.41/0.98      % set(auto_setup) -> set(predicate_elim).
% 0.41/0.98      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.41/0.98      % set(auto) -> set(auto_limits).
% 0.41/0.98      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.41/0.98      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.41/0.98      % set(auto) -> set(auto_denials).
% 0.41/0.98      % set(auto) -> set(auto_process).
% 0.41/0.98      % set(auto2) -> assign(new_constants, 1).
% 0.41/0.98      % set(auto2) -> assign(fold_denial_max, 3).
% 0.41/0.98      % set(auto2) -> assign(max_weight, "200.000").
% 0.41/0.98      % set(auto2) -> assign(max_hours, 1).
% 0.41/0.98      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.41/0.98      % set(auto2) -> assign(max_seconds, 0).
% 0.41/0.98      % set(auto2) -> assign(max_minutes, 5).
% 0.41/0.98      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.41/0.98      % set(auto2) -> set(sort_initial_sos).
% 0.41/0.98      % set(auto2) -> assign(sos_limit, -1).
% 0.41/0.98      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.41/0.98      % set(auto2) -> assign(max_megs, 400).
% 0.41/0.98      % set(auto2) -> assign(stats, some).
% 0.41/0.98      % set(auto2) -> clear(echo_input).
% 0.41/0.98      % set(auto2) -> set(quiet).
% 0.41/0.98      % set(auto2) -> clear(print_initial_clauses).
% 0.41/0.98      % set(auto2) -> clear(print_given).
% 0.41/0.98  assign(lrs_ticks,-1).
% 0.41/0.98  assign(sos_limit,10000).
% 0.41/0.98  assign(order,kbo).
% 0.41/0.98  set(lex_order_vars).
% 0.41/0.98  clear(print_given).
% 0.41/0.98  
% 0.41/0.98  % formulas(sos).  % not echoed (107 formulas)
% 0.41/0.98  
% 0.41/0.98  ============================== end of input ==========================
% 0.41/0.98  
% 0.41/0.98  % From the command line: assign(max_seconds, 300).
% 0.41/0.98  
% 0.41/0.98  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.41/0.98  
% 0.41/0.98  % Formulas that are not ordinary clauses:
% 0.41/0.98  1 (all A (l1_orders_2(A) -> (v1_orders_2(A) -> A = g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(abstractness_v1_orders_2) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  3 (all A (l1_orders_2(A) -> (-v3_struct_0(A) & v2_orders_2(A) & v3_lattice3(A) -> -v3_struct_0(A) & v2_orders_2(A) & v24_waybel_0(A) & v25_waybel_0(A)))) # label(cc10_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  4 (all A (l1_orders_2(A) -> (-v3_struct_0(A) & v2_orders_2(A) & v25_waybel_0(A) -> -v3_struct_0(A) & v2_orders_2(A) & v1_yellow_0(A)))) # label(cc11_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  5 (all A (l1_orders_2(A) -> (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & v24_waybel_0(A) -> -v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A)))) # label(cc12_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  6 (all A (l1_orders_2(A) -> (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & v25_waybel_0(A) -> -v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & v2_lattice3(A)))) # label(cc13_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  7 (all A (l1_orders_2(A) -> (-v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v25_waybel_0(A) -> -v3_struct_0(A) & v2_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_yellow_0(A)))) # label(cc14_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  8 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  9 (all A (l1_orders_2(A) -> (v1_lattice3(A) -> -v3_struct_0(A)))) # label(cc1_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  10 (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].
% 0.41/0.98  11 (all A (l1_orders_2(A) -> (-v3_struct_0(A) & v3_lattice3(A) -> -v3_struct_0(A) & v1_lattice3(A) & v2_lattice3(A)))) # label(cc1_yellow_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  12 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  13 (all A (l1_orders_2(A) -> (v2_lattice3(A) -> -v3_struct_0(A)))) # label(cc2_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  14 (all A (l1_orders_2(A) -> (-v3_struct_0(A) & v3_lattice3(A) -> -v3_struct_0(A) & v3_yellow_0(A)))) # label(cc3_yellow_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  15 (all A (l1_orders_2(A) -> (v3_yellow_0(A) -> v1_yellow_0(A) & v2_yellow_0(A)))) # label(cc4_yellow_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  16 (all A (l1_orders_2(A) -> (v1_yellow_0(A) & v2_yellow_0(A) -> v3_yellow_0(A)))) # label(cc5_yellow_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  17 (all A (l1_orders_2(A) -> (v2_orders_2(A) & v1_lattice3(A) & v24_waybel_0(A) -> -v3_struct_0(A) & v2_orders_2(A) & v1_lattice3(A) & v2_yellow_0(A)))) # label(cc9_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  18 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) -> k8_waybel_0(A) = a_1_0_waybel_0(A))) # label(d23_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  19 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) -> k9_waybel_0(A) = a_1_1_waybel_0(A))) # label(d24_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  20 (all A (l1_orders_2(A) -> k7_lattice3(A) = g1_orders_2(u1_struct_0(A),k6_relset_1(u1_struct_0(A),u1_struct_0(A),u1_orders_2(A))))) # label(d5_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  21 (all A all B (m1_relset_1(B,A,A) -> v1_orders_2(g1_orders_2(A,B)) & l1_orders_2(g1_orders_2(A,B)))) # label(dt_g1_orders_2) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  22 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  23 (all A all B (l1_orders_2(A) -> m1_subset_1(k1_yellow_0(A,B),u1_struct_0(A)))) # label(dt_k1_yellow_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  24 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  25 (all A (v1_orders_2(k2_yellow_1(A)) & l1_orders_2(k2_yellow_1(A)))) # label(dt_k2_yellow_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  26 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  27 $T # label(dt_k3_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  28 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  29 (all A all B all C (m1_relset_1(C,A,B) -> m2_relset_1(k6_relset_1(A,B,C),B,A))) # label(dt_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  30 (all A (l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & l1_orders_2(k7_lattice3(A)))) # label(dt_k7_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  31 $T # label(dt_k8_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  32 $T # label(dt_k9_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  33 (all A (l1_orders_2(A) -> l1_struct_0(A))) # label(dt_l1_orders_2) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  34 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  35 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  36 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  37 (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].
% 0.41/0.98  38 (all A (l1_orders_2(A) -> m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)))) # label(dt_u1_orders_2) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  39 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  40 (exists A l1_orders_2(A)) # label(existence_l1_orders_2) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  41 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  42 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  43 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  44 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  45 (all A (-v3_struct_0(A) & v2_orders_2(A) & v24_waybel_0(A) & l1_orders_2(A) -> -v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v24_waybel_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(fc10_waybel_8) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  46 (all A (v2_yellow_0(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v1_yellow_0(k7_lattice3(A)))) # label(fc10_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  47 (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].
% 0.41/0.98  48 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  49 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & l1_orders_2(A) -> -v1_xboole_0(k9_waybel_0(A)))) # label(fc1_waybel16) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  50 (all A (v2_orders_2(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v2_orders_2(k7_lattice3(A)))) # label(fc1_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  51 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_lattice3(A) & v2_yellow_0(A) & l1_orders_2(A) -> -v3_struct_0(k2_yellow_1(k9_waybel_0(A))) & v1_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_orders_2(k2_yellow_1(k9_waybel_0(A))) & v3_orders_2(k2_yellow_1(k9_waybel_0(A))) & v4_orders_2(k2_yellow_1(k9_waybel_0(A))) & v2_lattice3(k2_yellow_1(k9_waybel_0(A))) & v3_lattice3(k2_yellow_1(k9_waybel_0(A))) & v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) & v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) & v25_waybel_0(k2_yellow_1(k9_waybel_0(A))))) # label(fc2_waybel16) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  52 (all A (v3_orders_2(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)))) # label(fc2_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  53 (all A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) -> v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(A)))) # label(fc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  54 (all A (v4_orders_2(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v4_orders_2(k7_lattice3(A)))) # label(fc3_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  55 (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].
% 0.41/0.98  56 (all A (-v3_struct_0(A) & l1_orders_2(A) -> -v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(fc4_waybel_8) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  57 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v2_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)) & v4_orders_2(k7_lattice3(A)))) # label(fc5_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  58 (all A (-v3_struct_0(A) & v2_orders_2(A) & l1_orders_2(A) -> -v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v2_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(fc5_waybel_8) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.98  59 (all A (v2_lattice3(A) & l1_orders_2(A) -> -v3_struct_0(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)) & v1_lattice3(k7_lattice3(A)))) # label(fc5_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  60 (all A (-v3_struct_0(A) & l1_orders_2(A) -> -v3_struct_0(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)))) # label(fc6_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  61 (all A (v3_orders_2(A) & l1_orders_2(A) -> v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v3_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(fc6_waybel_8) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  62 (all A (v1_lattice3(A) & l1_orders_2(A) -> -v3_struct_0(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)) & v2_lattice3(k7_lattice3(A)))) # label(fc6_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  63 (all A (v4_orders_2(A) & l1_orders_2(A) -> v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v4_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(fc7_waybel_8) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  64 (all A (-v3_struct_0(A) & v3_lattice3(A) & l1_orders_2(A) -> -v3_struct_0(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)) & v1_lattice3(k7_lattice3(A)) & v2_lattice3(k7_lattice3(A)) & v3_lattice3(k7_lattice3(A)) & v1_yellow_0(k7_lattice3(A)) & v2_yellow_0(k7_lattice3(A)) & v3_yellow_0(k7_lattice3(A)))) # label(fc7_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  65 (all A (v2_lattice3(A) & l1_orders_2(A) -> -v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v2_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(fc8_waybel_8) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  66 (all A (v1_lattice3(A) & l1_orders_2(A) -> -v3_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) & v1_lattice3(g1_orders_2(u1_struct_0(A),u1_orders_2(A))))) # label(fc9_waybel_8) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  67 (all A (v1_yellow_0(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v2_yellow_0(k7_lattice3(A)))) # label(fc9_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  68 (all A all B (-v3_struct_0(B) & v2_orders_2(B) & v3_orders_2(B) & l1_orders_2(B) -> (r2_hidden(A,a_1_0_waybel_0(B)) <-> (exists C (-v1_xboole_0(C) & v1_waybel_0(C,B) & v12_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C))))) # label(fraenkel_a_1_0_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  69 (all A all B (-v3_struct_0(B) & v2_orders_2(B) & v3_orders_2(B) & l1_orders_2(B) -> (r2_hidden(A,a_1_1_waybel_0(B)) <-> (exists C (-v1_xboole_0(C) & v2_waybel_0(C,B) & v13_waybel_0(C,B) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & A = C))))) # label(fraenkel_a_1_1_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  70 (all A all B (m1_relset_1(B,A,A) -> (all C all D (g1_orders_2(A,B) = g1_orders_2(C,D) -> A = C & B = D)))) # label(free_g1_orders_2) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  71 (all A (v1_relat_1(A) -> k4_relat_1(k4_relat_1(A)) = A)) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  72 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,k6_relset_1(A,B,C)) = C)) # label(involutiveness_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  73 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v2_waybel_0(B,A) & v13_waybel_0(B,A))))) # label(rc10_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  74 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v1_waybel_0(B,A) & v2_waybel_0(B,A) & v12_waybel_0(B,A) & v13_waybel_0(B,A))))) # label(rc11_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  75 (exists A (l1_orders_2(A) & -v3_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A) & v24_waybel_0(A) & v25_waybel_0(A))) # label(rc13_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  76 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  77 (exists A (l1_orders_2(A) & -v3_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v3_lattice3(A))) # label(rc1_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  78 (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].
% 0.41/0.99  79 (all A (l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v1_waybel_0(B,A) & v2_waybel_0(B,A))))) # label(rc1_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  80 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  81 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  82 (exists A (l1_orders_2(A) & -v3_struct_0(A) & v1_orders_2(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A))) # label(rc2_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  83 (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].
% 0.41/0.99  84 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  85 (exists A (l1_orders_2(A) & -v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v2_lattice3(A) & v3_lattice3(A) & v1_yellow_0(A) & v2_yellow_0(A) & v3_yellow_0(A))) # label(rc2_yellow_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  86 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  87 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  88 (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].
% 0.41/0.99  89 (all A (l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & v12_waybel_0(B,A) & v13_waybel_0(B,A))))) # label(rc7_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  90 (all A (-v3_struct_0(A) & l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v12_waybel_0(B,A) & v13_waybel_0(B,A))))) # label(rc8_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  91 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B) & v1_waybel_0(B,A) & v12_waybel_0(B,A))))) # label(rc9_waybel_0) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  92 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,C) = k4_relat_1(C))) # label(redefinition_k6_relset_1) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  93 (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].
% 0.41/0.99  94 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  95 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  96 (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].
% 0.41/0.99  97 (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].
% 0.41/0.99  98 (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].
% 0.41/0.99  99 (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].
% 0.41/0.99  100 (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].
% 0.41/0.99  101 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  102 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  103 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) -> k9_waybel_0(A) = k8_waybel_0(k7_lattice3(A)))) # label(t7_waybel16) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  104 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  105 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) -> (all B (-v1_xboole_0(B) & v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) -> k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) = k3_tarski(B))))) # label(t9_waybel13) # label(axiom) # label(non_clause).  [assumption].
% 0.41/0.99  106 -(all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) -> (all B (-v1_xboole_0(B) & v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A))))) -> k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B) = k3_tarski(B))))) # label(t1_waybel22) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.41/0.99  
% 0.41/0.99  ============================== end of process non-clausal formulas ===
% 0.41/0.99  
% 0.41/0.99  ============================== PROCESS INITIAL CLAUSES ===============
% 0.41/0.99  
% 0.41/0.99  ============================== PREDICATE ELIMINATION =================
% 0.41/0.99  107 -m1_relset_1(A,B,B) | v1_orders_2(g1_orders_2(B,A)) # label(dt_g1_orders_2) # label(axiom).  [clausify(21)].
% 0.41/0.99  108 -l1_orders_2(A) | -v1_orders_2(A) | g1_orders_2(u1_struct_0(A),u1_orders_2(A)) = A # label(abstractness_v1_orders_2) # label(axiom).  [clausify(1)].
% 0.41/0.99  Derived: -m1_relset_1(A,B,B) | -l1_orders_2(g1_orders_2(B,A)) | g1_orders_2(u1_struct_0(g1_orders_2(B,A)),u1_orders_2(g1_orders_2(B,A))) = g1_orders_2(B,A).  [resolve(107,b,108,b)].
% 0.41/0.99  109 v1_orders_2(k2_yellow_1(A)) # label(dt_k2_yellow_1) # label(axiom).  [clausify(25)].
% 0.41/0.99  Derived: -l1_orders_2(k2_yellow_1(A)) | g1_orders_2(u1_struct_0(k2_yellow_1(A)),u1_orders_2(k2_yellow_1(A))) = k2_yellow_1(A).  [resolve(109,a,108,b)].
% 0.41/0.99  110 -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(dt_k7_lattice3) # label(axiom).  [clausify(30)].
% 0.41/0.99  Derived: -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | g1_orders_2(u1_struct_0(k7_lattice3(A)),u1_orders_2(k7_lattice3(A))) = k7_lattice3(A).  [resolve(110,b,108,b)].
% 0.41/0.99  111 v3_struct_0(A) | -v2_orders_2(A) | -v24_waybel_0(A) | -l1_orders_2(A) | v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) # label(fc10_waybel_8) # label(axiom).  [clausify(45)].
% 0.41/0.99  Derived: v3_struct_0(A) | -v2_orders_2(A) | -v24_waybel_0(A) | -l1_orders_2(A) | -l1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) | g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))),u1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)).  [resolve(111,e,108,b)].
% 0.41/0.99  112 -v2_yellow_0(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc10_yellow_7) # label(axiom).  [clausify(46)].
% 0.41/0.99  113 -v2_orders_2(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc1_yellow_7) # label(axiom).  [clausify(50)].
% 0.41/0.99  114 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | v1_orders_2(k2_yellow_1(k9_waybel_0(A))) # label(fc2_waybel16) # label(axiom).  [clausify(51)].
% 0.41/0.99  115 -v3_orders_2(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc2_yellow_7) # label(axiom).  [clausify(52)].
% 0.41/0.99  116 -v4_orders_2(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc3_yellow_7) # label(axiom).  [clausify(54)].
% 0.41/0.99  117 v3_struct_0(A) | -l1_orders_2(A) | v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) # label(fc4_waybel_8) # label(axiom).  [clausify(56)].
% 0.41/1.00  Derived: v3_struct_0(A) | -l1_orders_2(A) | -l1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) | g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))),u1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)).  [resolve(117,c,108,b)].
% 0.41/1.00  118 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc5_lattice3) # label(axiom).  [clausify(57)].
% 0.41/1.00  119 v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) # label(fc5_waybel_8) # label(axiom).  [clausify(58)].
% 0.41/1.00  120 -v2_lattice3(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc5_yellow_7) # label(axiom).  [clausify(59)].
% 0.41/1.00  121 v3_struct_0(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc6_lattice3) # label(axiom).  [clausify(60)].
% 0.41/1.00  122 -v3_orders_2(A) | -l1_orders_2(A) | v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) # label(fc6_waybel_8) # label(axiom).  [clausify(61)].
% 0.41/1.00  Derived: -v3_orders_2(A) | -l1_orders_2(A) | -l1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) | g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))),u1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)).  [resolve(122,c,108,b)].
% 0.41/1.00  123 -v1_lattice3(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc6_yellow_7) # label(axiom).  [clausify(62)].
% 0.41/1.00  124 -v4_orders_2(A) | -l1_orders_2(A) | v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) # label(fc7_waybel_8) # label(axiom).  [clausify(63)].
% 0.41/1.00  Derived: -v4_orders_2(A) | -l1_orders_2(A) | -l1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) | g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))),u1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)).  [resolve(124,c,108,b)].
% 0.41/1.00  125 v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc7_yellow_7) # label(axiom).  [clausify(64)].
% 0.41/1.00  126 -v2_lattice3(A) | -l1_orders_2(A) | v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) # label(fc8_waybel_8) # label(axiom).  [clausify(65)].
% 0.41/1.00  Derived: -v2_lattice3(A) | -l1_orders_2(A) | -l1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) | g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))),u1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)).  [resolve(126,c,108,b)].
% 0.41/1.00  127 -v1_lattice3(A) | -l1_orders_2(A) | v1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) # label(fc9_waybel_8) # label(axiom).  [clausify(66)].
% 0.41/1.00  Derived: -v1_lattice3(A) | -l1_orders_2(A) | -l1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A))) | g1_orders_2(u1_struct_0(g1_orders_2(u1_struct_0(A),u1_orders_2(A))),u1_orders_2(g1_orders_2(u1_struct_0(A),u1_orders_2(A)))) = g1_orders_2(u1_struct_0(A),u1_orders_2(A)).  [resolve(127,c,108,b)].
% 0.41/1.00  128 -v1_yellow_0(A) | -l1_orders_2(A) | v1_orders_2(k7_lattice3(A)) # label(fc9_yellow_7) # label(axiom).  [clausify(67)].
% 0.41/1.00  129 v1_orders_2(c3) # label(rc13_waybel_0) # label(axiom).  [clausify(75)].
% 0.41/1.00  Derived: -l1_orders_2(c3) | g1_orders_2(u1_struct_0(c3),u1_orders_2(c3)) = c3.  [resolve(129,a,108,b)].
% 0.41/1.00  130 v1_orders_2(c5) # label(rc1_lattice3) # label(axiom).  [clausify(77)].
% 0.41/1.00  Derived: -l1_orders_2(c5) | g1_orders_2(u1_struct_0(c5),u1_orders_2(c5)) = c5.  [resolve(130,a,108,b)].
% 0.41/1.00  131 v1_orders_2(c8) # label(rc2_lattice3) # label(axiom).  [clausify(82)].
% 0.41/1.00  Derived: -l1_orders_2(c8) | g1_orders_2(u1_struct_0(c8),u1_orders_2(c8)) = c8.  [resolve(131,a,108,b)].
% 0.41/1.00  132 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v25_waybel_0(A) | v1_yellow_0(A) # label(cc11_waybel_0) # label(axiom).  [clausify(4)].
% 0.41/1.00  133 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | v25_waybel_0(A) # label(cc10_waybel_0) # label(axiom).  [clausify(3)].
% 0.41/1.00  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | v1_yellow_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A).  [resolve(132,d,133,e)].
% 0.41/1.00  134 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v4_orders_2(A) | -v25_waybel_0(A) | v2_lattice3(A) # label(cc13_waybel_0) # label(axiom).  [clausify(6)].
% 0.41/1.00  135 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v4_orders_2(A) | -v2_yellow_0(A) | -v25_waybel_0(A) | v1_lattice3(A) # label(cc14_waybel_0) # label(axiom).  [clausify(7)].
% 0.41/1.00  136 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | v25_waybel_0(k2_yellow_1(k9_waybel_0(A))) # label(fc2_waybel16) # label(axiom).  [clausify(51)].
% 0.41/1.00  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | v1_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(136,g,132,d)].
% 0.41/1.00  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | v2_lattice3(k2_yellow_1(k9_waybel_0(A))).  [resolve(136,g,134,e)].
% 0.41/1.00  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) | v1_lattice3(k2_yellow_1(k9_waybel_0(A))).  [resolve(136,g,135,f)].
% 0.41/1.00  137 v25_waybel_0(c3) # label(rc13_waybel_0) # label(axiom).  [clausify(75)].
% 0.41/1.00  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | v1_yellow_0(c3).  [resolve(137,a,132,d)].
% 0.41/1.00  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v4_orders_2(c3) | v2_lattice3(c3).  [resolve(137,a,134,e)].
% 0.41/1.00  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v4_orders_2(c3) | -v2_yellow_0(c3) | v1_lattice3(c3).  [resolve(137,a,135,f)].
% 0.41/1.00  138 -l1_orders_2(A) | -v3_yellow_0(A) | v1_yellow_0(A) # label(cc4_yellow_0) # label(axiom).  [clausify(15)].
% 0.41/1.00  139 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v1_yellow_0(A) | -v24_waybel_0(A) | v2_lattice3(A) # label(cc12_waybel_0) # label(axiom).  [clausify(5)].
% 0.41/1.00  140 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v1_yellow_0(A) | -v24_waybel_0(A) | v3_lattice3(A) # label(cc12_waybel_0) # label(axiom).  [clausify(5)].
% 0.41/1.00  141 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v1_yellow_0(A) | -v24_waybel_0(A) | v2_yellow_0(A) # label(cc12_waybel_0) # label(axiom).  [clausify(5)].
% 0.41/1.00  142 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v1_yellow_0(A) | -v24_waybel_0(A) | v3_yellow_0(A) # label(cc12_waybel_0) # label(axiom).  [clausify(5)].
% 0.41/1.00  Derived: -l1_orders_2(A) | -v3_yellow_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v2_lattice3(A).  [resolve(138,c,139,g)].
% 0.41/1.00  Derived: -l1_orders_2(A) | -v3_yellow_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v3_lattice3(A).  [resolve(138,c,140,g)].
% 0.41/1.00  143 -l1_orders_2(A) | -v1_yellow_0(A) | -v2_yellow_0(A) | v3_yellow_0(A) # label(cc5_yellow_0) # label(axiom).  [clausify(16)].
% 0.41/1.00  144 -v2_yellow_0(A) | -l1_orders_2(A) | v1_yellow_0(k7_lattice3(A)) # label(fc10_yellow_7) # label(axiom).  [clausify(46)].
% 0.41/1.00  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v2_lattice3(k7_lattice3(A)).  [resolve(144,c,139,g)].
% 0.41/1.00  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v3_lattice3(k7_lattice3(A)).  [resolve(144,c,140,g)].
% 0.41/1.00  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v2_yellow_0(k7_lattice3(A)).  [resolve(144,c,141,g)].
% 0.41/1.00  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v3_yellow_0(k7_lattice3(A)).  [resolve(144,c,142,g)].
% 0.41/1.00  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | -v2_yellow_0(k7_lattice3(A)) | v3_yellow_0(k7_lattice3(A)).  [resolve(144,c,143,b)].
% 0.41/1.00  145 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | v1_yellow_0(k2_yellow_1(k9_waybel_0(A))) # label(fc2_waybel16) # label(axiom).  [clausify(51)].
% 0.41/1.00  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | v3_lattice3(k2_yellow_1(k9_waybel_0(A))).  [resolve(145,g,140,g)].
% 0.41/1.00  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | v2_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(145,g,141,g)].
% 0.41/1.00  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | v3_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(145,g,142,g)].
% 0.41/1.00  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) | v3_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(145,g,143,b)].
% 0.41/1.00  146 v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A) | v1_yellow_0(k7_lattice3(A)) # label(fc7_yellow_7) # label(axiom).  [clausify(64)].
% 0.41/1.00  Derived: v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v2_lattice3(k7_lattice3(A)).  [resolve(146,d,139,g)].
% 0.41/1.00  Derived: v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v3_lattice3(k7_lattice3(A)).  [resolve(146,d,140,g)].
% 0.41/1.00  147 -v1_yellow_0(A) | -l1_orders_2(A) | v2_yellow_0(k7_lattice3(A)) # label(fc9_yellow_7) # label(axiom).  [clausify(67)].
% 0.41/1.00  Derived: -l1_orders_2(A) | v2_yellow_0(k7_lattice3(A)) | -l1_orders_2(A) | -v3_yellow_0(A).  [resolve(147,a,138,c)].
% 0.41/1.00  Derived: -l1_orders_2(k7_lattice3(A)) | v2_yellow_0(k7_lattice3(k7_lattice3(A))) | -v2_yellow_0(A) | -l1_orders_2(A).  [resolve(147,a,144,c)].
% 0.41/1.01  Derived: -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v2_yellow_0(k7_lattice3(k2_yellow_1(k9_waybel_0(A)))) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A).  [resolve(147,a,145,g)].
% 0.41/1.01  Derived: -l1_orders_2(k7_lattice3(A)) | v2_yellow_0(k7_lattice3(k7_lattice3(A))) | v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A).  [resolve(147,a,146,d)].
% 0.41/1.01  148 v1_yellow_0(c3) # label(rc13_waybel_0) # label(axiom).  [clausify(75)].
% 0.41/1.01  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | v3_lattice3(c3).  [resolve(148,a,140,g)].
% 0.41/1.01  Derived: -l1_orders_2(c3) | v2_yellow_0(k7_lattice3(c3)).  [resolve(148,a,147,a)].
% 0.41/1.01  149 v1_yellow_0(c10) # label(rc2_yellow_0) # label(axiom).  [clausify(85)].
% 0.41/1.01  Derived: -l1_orders_2(c10) | v3_struct_0(c10) | -v2_orders_2(c10) | -v3_orders_2(c10) | -v4_orders_2(c10) | -v1_lattice3(c10) | -v24_waybel_0(c10) | v2_lattice3(c10).  [resolve(149,a,139,g)].
% 0.41/1.01  Derived: -l1_orders_2(c10) | v3_struct_0(c10) | -v2_orders_2(c10) | -v3_orders_2(c10) | -v4_orders_2(c10) | -v1_lattice3(c10) | -v24_waybel_0(c10) | v3_lattice3(c10).  [resolve(149,a,140,g)].
% 0.41/1.01  Derived: -l1_orders_2(c10) | v2_yellow_0(k7_lattice3(c10)).  [resolve(149,a,147,a)].
% 0.41/1.01  150 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v1_yellow_0(A) | -l1_orders_2(A) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) # label(t9_waybel13) # label(axiom).  [clausify(105)].
% 0.41/1.01  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -l1_orders_2(A) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) | -l1_orders_2(A) | -v3_yellow_0(A).  [resolve(150,e,138,c)].
% 0.41/1.01  Derived: -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(k7_lattice3(A)))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A)))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A))),B) | -v2_yellow_0(A) | -l1_orders_2(A).  [resolve(150,e,144,c)].
% 0.41/1.01  Derived: -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(k2_yellow_1(k9_waybel_0(A))))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k2_yellow_1(k9_waybel_0(A))))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k2_yellow_1(k9_waybel_0(A)))),B) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A).  [resolve(150,e,145,g)].
% 0.41/1.01  Derived: -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(k7_lattice3(A)))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A)))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A))),B) | v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A).  [resolve(150,e,146,d)].
% 0.41/1.01  Derived: -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -l1_orders_2(c3) | v1_xboole_0(A) | -v1_waybel_0(A,k2_yellow_1(k8_waybel_0(c3))) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(c3))))) | k3_tarski(A) = k1_yellow_0(k2_yellow_1(k8_waybel_0(c3)),A).  [resolve(150,e,148,a)].
% 0.41/1.01  Derived: -v2_orders_2(c10) | -v3_orders_2(c10) | -v4_orders_2(c10) | -v1_lattice3(c10) | -l1_orders_2(c10) | v1_xboole_0(A) | -v1_waybel_0(A,k2_yellow_1(k8_waybel_0(c10))) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(c10))))) | k3_tarski(A) = k1_yellow_0(k2_yellow_1(k8_waybel_0(c10)),A).  [resolve(150,e,149,a)].
% 0.71/1.09  151 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | v1_yellow_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A).  [resolve(132,d,133,e)].
% 0.71/1.09  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v2_lattice3(A).  [resolve(151,d,139,g)].
% 0.71/1.09  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v2_yellow_0(A).  [resolve(151,d,141,g)].
% 0.71/1.09  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v3_yellow_0(A).  [resolve(151,d,142,g)].
% 0.71/1.09  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | -v2_yellow_0(A) | v3_yellow_0(A).  [resolve(151,d,143,b)].
% 0.71/1.09  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | v2_yellow_0(k7_lattice3(A)).  [resolve(151,d,147,a)].
% 0.71/1.09  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -l1_orders_2(A) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B).  [resolve(151,d,150,e)].
% 0.71/1.09  152 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | v1_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(136,g,132,d)].
% 0.71/1.09  153 -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | v1_yellow_0(c3).  [resolve(137,a,132,d)].
% 0.71/1.09  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | v2_yellow_0(c3).  [resolve(153,d,141,g)].
% 0.71/1.09  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | v3_yellow_0(c3).  [resolve(153,d,142,g)].
% 0.71/1.09  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | -v2_yellow_0(c3) | v3_yellow_0(c3).  [resolve(153,d,143,b)].
% 0.71/1.09  154 -v1_relat_1(A) | -v1_funct_1(A) | -v2_funct_1(A) | v1_relat_1(k4_relat_1(A)) # label(fc3_funct_1) # label(axiom).  [clausify(53)].
% 0.71/1.09  155 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom).  [clausify(12)].
% 0.71/1.09  Derived: -v1_relat_1(A) | -v1_funct_1(A) | v1_relat_1(k4_relat_1(A)) | -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A).  [resolve(154,c,155,d)].
% 0.71/1.09  156 -v1_relat_1(A) | -v1_funct_1(A) | -v2_funct_1(A) | v1_funct_1(k4_relat_1(A)) # label(fc3_funct_1) # label(axiom).  [clausify(53)].
% 0.71/1.09  Derived: -v1_relat_1(A) | -v1_funct_1(A) | v1_funct_1(k4_relat_1(A)) | -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A).  [resolve(156,c,155,d)].
% 0.71/1.09  157 v2_funct_1(c11) # label(rc3_funct_1) # label(axiom).  [clausify(86)].
% 0.71/1.09  Derived: -v1_relat_1(c11) | -v1_funct_1(c11) | v1_relat_1(k4_relat_1(c11)).  [resolve(157,a,154,c)].
% 0.71/1.09  Derived: -v1_relat_1(c11) | -v1_funct_1(c11) | v1_funct_1(k4_relat_1(c11)).  [resolve(157,a,156,c)].
% 0.71/1.12  158 -l1_orders_2(A) | -v3_yellow_0(A) | v2_yellow_0(A) # label(cc4_yellow_0) # label(axiom).  [clausify(15)].
% 0.71/1.12  159 -l1_orders_2(A) | v3_struct_0(A) | -v3_lattice3(A) | v3_yellow_0(A) # label(cc3_yellow_0) # label(axiom).  [clausify(14)].
% 0.71/1.12  Derived: -l1_orders_2(A) | v2_yellow_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v3_lattice3(A).  [resolve(158,b,159,d)].
% 0.71/1.12  160 v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A) | v3_yellow_0(k7_lattice3(A)) # label(fc7_yellow_7) # label(axiom).  [clausify(64)].
% 0.71/1.12  Derived: v3_struct_0(A) | -v3_lattice3(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v2_yellow_0(k7_lattice3(A)).  [resolve(160,d,158,b)].
% 0.71/1.12  161 v3_yellow_0(c3) # label(rc13_waybel_0) # label(axiom).  [clausify(75)].
% 0.71/1.12  Derived: -l1_orders_2(c3) | v2_yellow_0(c3).  [resolve(161,a,158,b)].
% 0.71/1.12  162 v3_yellow_0(c10) # label(rc2_yellow_0) # label(axiom).  [clausify(85)].
% 0.71/1.12  Derived: -l1_orders_2(c10) | v2_yellow_0(c10).  [resolve(162,a,158,b)].
% 0.71/1.12  163 -l1_orders_2(A) | -v3_yellow_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v2_lattice3(A).  [resolve(138,c,139,g)].
% 0.71/1.12  Derived: -l1_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | v2_lattice3(c3).  [resolve(163,b,161,a)].
% 0.71/1.12  164 -l1_orders_2(A) | -v3_yellow_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v3_lattice3(A).  [resolve(138,c,140,g)].
% 0.71/1.12  165 -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v3_yellow_0(k7_lattice3(A)).  [resolve(144,c,142,g)].
% 0.71/1.12  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | v2_yellow_0(k7_lattice3(A)).  [resolve(165,j,158,b)].
% 0.71/1.12  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v2_lattice3(k7_lattice3(A)).  [resolve(165,j,163,b)].
% 0.71/1.12  Derived: -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | v3_struct_0(k7_lattice3(A)) | -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -v24_waybel_0(k7_lattice3(A)) | v3_lattice3(k7_lattice3(A)).  [resolve(165,j,164,b)].
% 0.71/1.12  166 -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k7_lattice3(A)) | -v2_yellow_0(k7_lattice3(A)) | v3_yellow_0(k7_lattice3(A)).  [resolve(144,c,143,b)].
% 0.71/1.12  167 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | v3_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(145,g,142,g)].
% 0.71/1.12  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v2_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(167,n,158,b)].
% 1.05/1.35  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | v2_lattice3(k2_yellow_1(k9_waybel_0(A))).  [resolve(167,n,163,b)].
% 1.05/1.35  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | v3_struct_0(k2_yellow_1(k9_waybel_0(A))) | -v2_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v3_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v4_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v1_lattice3(k2_yellow_1(k9_waybel_0(A))) | -v24_waybel_0(k2_yellow_1(k9_waybel_0(A))) | v3_lattice3(k2_yellow_1(k9_waybel_0(A))).  [resolve(167,n,164,b)].
% 1.05/1.35  168 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v2_lattice3(A) | -v2_yellow_0(A) | -l1_orders_2(A) | -l1_orders_2(k2_yellow_1(k9_waybel_0(A))) | -v2_yellow_0(k2_yellow_1(k9_waybel_0(A))) | v3_yellow_0(k2_yellow_1(k9_waybel_0(A))).  [resolve(145,g,143,b)].
% 1.05/1.35  169 -l1_orders_2(A) | v2_yellow_0(k7_lattice3(A)) | -l1_orders_2(A) | -v3_yellow_0(A).  [resolve(147,a,138,c)].
% 1.05/1.35  Derived: -l1_orders_2(A) | v2_yellow_0(k7_lattice3(A)) | -l1_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v3_lattice3(A).  [resolve(169,d,159,d)].
% 1.05/1.35  170 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -l1_orders_2(A) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) | -l1_orders_2(A) | -v3_yellow_0(A).  [resolve(150,e,138,c)].
% 1.05/1.35  171 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v3_yellow_0(A).  [resolve(151,d,142,g)].
% 1.05/1.35  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | -l1_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v24_waybel_0(A) | v2_lattice3(A).  [resolve(171,o,163,b)].
% 1.05/1.35  172 -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_lattice3(A) | -l1_orders_2(A) | -v2_yellow_0(A) | v3_yellow_0(A).  [resolve(151,d,143,b)].
% 1.05/1.35  173 -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | v3_yellow_0(c3).  [resolve(153,d,142,g)].
% 1.86/2.20  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | -l1_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | v3_lattice3(c3).  [resolve(173,k,164,b)].
% 1.86/2.20  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | -l1_orders_2(c3) | v2_yellow_0(k7_lattice3(c3)) | -l1_orders_2(c3).  [resolve(173,k,169,d)].
% 1.86/2.20  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -v24_waybel_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -l1_orders_2(c3) | v1_xboole_0(A) | -v1_waybel_0(A,k2_yellow_1(k8_waybel_0(c3))) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(c3))))) | k3_tarski(A) = k1_yellow_0(k2_yellow_1(k8_waybel_0(c3)),A) | -l1_orders_2(c3).  [resolve(173,k,170,k)].
% 1.86/2.20  174 -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | -v2_yellow_0(c3) | v3_yellow_0(c3).  [resolve(153,d,143,b)].
% 1.86/2.20  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | -v2_yellow_0(c3) | -l1_orders_2(c3) | v2_yellow_0(k7_lattice3(c3)) | -l1_orders_2(c3).  [resolve(174,f,169,d)].
% 1.86/2.20  Derived: -l1_orders_2(c3) | v3_struct_0(c3) | -v2_orders_2(c3) | -l1_orders_2(c3) | -v2_yellow_0(c3) | -v2_orders_2(c3) | -v3_orders_2(c3) | -v4_orders_2(c3) | -v1_lattice3(c3) | -l1_orders_2(c3) | v1_xboole_0(A) | -v1_waybel_0(A,k2_yellow_1(k8_waybel_0(c3))) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(c3))))) | k3_tarski(A) = k1_yellow_0(k2_yellow_1(k8_waybel_0(c3)),A) | -l1_orders_2(c3).  [resolve(174,f,170,k)].
% 1.86/2.20  175 -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(37)].
% 1.86/2.20  176 -m1_relset_1(A,B,C) | m2_relset_1(k6_relset_1(B,C,A),C,B) # label(dt_k6_relset_1) # label(axiom).  [clausify(29)].
% 1.86/2.20  Derived: m1_subset_1(k6_relset_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,A))) | -m1_relset_1(C,A,B).  [resolve(175,a,176,b)].
% 1.86/2.20  177 -l1_orders_2(A) | m2_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) # label(dt_u1_orders_2) # label(axiom).  [clausify(38)].
% 1.86/2.20  Derived: -l1_orders_2(A) | m1_subset_1(u1_orders_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)))).  [resolve(177,b,175,a)].
% 1.86/2.20  178 m2_relset_1(f3(A,B),A,B) # label(existence_m2_relset_1) # label(axiom).  [clausify(44)].
% 1.86/2.20  Derived: m1_subset_1(f3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))).  [resolve(178,a,175,a)].
% 1.86/2.20  179 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom).  [clausify(93)].
% 1.86/2.20  Derived: m1_relset_1(k6_relset_1(A,B,C),B,A) | -m1_relset_1(C,A,B).  [resolve(179,a,176,b)].
% 1.86/2.20  Derived: m1_relset_1(u1_orders_2(A),u1_struct_0(A),u1_struct_0(A)) | -l1_orders_2(A).  [resolve(179,a,177,b)].
% 1.86/2.20  Derived: m1_relset_1(f3(A,B),A,B).  [resolve(179,a,178,a)].
% 1.86/2.20  180 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom).  [clausify(93)].
% 1.86/2.20  Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))).  [resolve(180,a,175,a)].
% 1.86/2.20  181 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom).  [clausify(47)].
% 1.86/2.20  182 -l1_orders_2(A) | l1_struct_0(A) # label(dt_l1_orders_2) # label(axiom).  [clausify(33)].
% 1.86/2.20  183 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom).  [clausify(41)].
% 1.86/2.20  Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_orders_2(A).  [resolve(181,b,182,b)].
% 1.86/2.20  Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)).  [resolve(181,b,183,a)].
% 1.86/2.20  184 l1_struct_0(c12) # label(rc3_struct_0) # label(axiom).  [clausify(87)].
% 1.95/2.21  Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)).  [resolve(184,a,181,b)].
% 1.95/2.21  185 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom).  [clausify(88)].
% 1.95/2.21  Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_orders_2(A).  [resolve(185,b,182,b)].
% 1.95/2.21  Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))).  [resolve(185,b,183,a)].
% 1.95/2.21  Derived: v3_struct_0(c12) | m1_subset_1(f11(c12),k1_zfmisc_1(u1_struct_0(c12))).  [resolve(185,b,184,a)].
% 1.95/2.21  186 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom).  [clausify(88)].
% 1.95/2.21  Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_orders_2(A).  [resolve(186,b,182,b)].
% 1.95/2.21  Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)).  [resolve(186,b,183,a)].
% 1.95/2.21  Derived: v3_struct_0(c12) | -v1_xboole_0(f11(c12)).  [resolve(186,b,184,a)].
% 1.95/2.21  187 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_0_waybel_0(A)) | v1_xboole_0(C) | -v1_waybel_0(C,A) | -v12_waybel_0(C,A) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | C != B # label(fraenkel_a_1_0_waybel_0) # label(axiom).  [clausify(68)].
% 1.95/2.21  188 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | -r2_hidden(B,a_1_0_waybel_0(A)) | v12_waybel_0(f4(B,A),A) # label(fraenkel_a_1_0_waybel_0) # label(axiom).  [clausify(68)].
% 1.95/2.21  Derived: v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_0_waybel_0(A)) | v1_xboole_0(f4(C,A)) | -v1_waybel_0(f4(C,A),A) | -m1_subset_1(f4(C,A),k1_zfmisc_1(u1_struct_0(A))) | f4(C,A) != B | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | -r2_hidden(C,a_1_0_waybel_0(A)).  [resolve(187,h,188,f)].
% 1.95/2.21  189 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v2_lattice3(A) | -l1_orders_2(A) | v12_waybel_0(f7(A),A) # label(rc11_waybel_0) # label(axiom).  [clausify(74)].
% 1.95/2.21  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v2_lattice3(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_0_waybel_0(A)) | v1_xboole_0(f7(A)) | -v1_waybel_0(f7(A),A) | -m1_subset_1(f7(A),k1_zfmisc_1(u1_struct_0(A))) | f7(A) != B.  [resolve(189,g,187,h)].
% 1.95/2.21  190 -l1_orders_2(A) | v12_waybel_0(f12(A),A) # label(rc7_waybel_0) # label(axiom).  [clausify(89)].
% 1.95/2.21  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_0_waybel_0(A)) | v1_xboole_0(f12(A)) | -v1_waybel_0(f12(A),A) | -m1_subset_1(f12(A),k1_zfmisc_1(u1_struct_0(A))) | f12(A) != B.  [resolve(190,b,187,h)].
% 1.95/2.21  191 v3_struct_0(A) | -l1_orders_2(A) | v12_waybel_0(f13(A),A) # label(rc8_waybel_0) # label(axiom).  [clausify(90)].
% 1.95/2.21  Derived: v3_struct_0(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_0_waybel_0(A)) | v1_xboole_0(f13(A)) | -v1_waybel_0(f13(A),A) | -m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) | f13(A) != B.  [resolve(191,c,187,h)].
% 1.95/2.21  192 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | v12_waybel_0(f14(A),A) # label(rc9_waybel_0) # label(axiom).  [clausify(91)].
% 1.95/2.21  Derived: v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_0_waybel_0(A)) | v1_xboole_0(f14(A)) | -v1_waybel_0(f14(A),A) | -m1_subset_1(f14(A),k1_zfmisc_1(u1_struct_0(A))) | f14(A) != B.  [resolve(192,e,187,h)].
% 1.95/2.21  193 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_1_waybel_0(A)) | v1_xboole_0(C) | -v2_waybel_0(C,A) | -v13_waybel_0(C,A) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | C != B # label(fraenkel_a_1_1_waybel_0) # label(axiom).  [clausify(69)].
% 1.95/2.21  194 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | -r2_hidden(B,a_1_1_waybel_0(A)) | v2_waybel_0(f5(B,A),A) # label(fraenkel_a_1_1_waybel_0) # label(axiom).  [clausify(69)].
% 1.95/2.21  Derived: v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_1_waybel_0(A)) | v1_xboole_0(f5(C,A)) | -v13_waybel_0(f5(C,A),A) | -m1_subset_1(f5(C,A),k1_zfmisc_1(u1_struct_0(A))) | f5(C,A) != B | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | -r2_hidden(C,a_1_1_waybel_0(A)).  [resolve(193,g,194,f)].
% 4.96/5.27  195 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | v2_waybel_0(f6(A),A) # label(rc10_waybel_0) # label(axiom).  [clausify(73)].
% 4.96/5.27  Derived: v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_1_waybel_0(A)) | v1_xboole_0(f6(A)) | -v13_waybel_0(f6(A),A) | -m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) | f6(A) != B.  [resolve(195,e,193,g)].
% 4.96/5.27  196 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v2_lattice3(A) | -l1_orders_2(A) | v2_waybel_0(f7(A),A) # label(rc11_waybel_0) # label(axiom).  [clausify(74)].
% 4.96/5.27  Derived: -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v2_lattice3(A) | -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_1_waybel_0(A)) | v1_xboole_0(f7(A)) | -v13_waybel_0(f7(A),A) | -m1_subset_1(f7(A),k1_zfmisc_1(u1_struct_0(A))) | f7(A) != B.  [resolve(196,g,193,g)].
% 4.96/5.27  197 -l1_orders_2(A) | v2_waybel_0(f9(A),A) # label(rc1_waybel_0) # label(axiom).  [clausify(79)].
% 4.96/5.27  Derived: -l1_orders_2(A) | v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | r2_hidden(B,a_1_1_waybel_0(A)) | v1_xboole_0(f9(A)) | -v13_waybel_0(f9(A),A) | -m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) | f9(A) != B.  [resolve(197,b,193,g)].
% 4.96/5.27  198 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom).  [clausify(98)].
% 4.96/5.27  199 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom).  [clausify(94)].
% 4.96/5.27  200 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom).  [clausify(98)].
% 4.96/5.27  Derived: m1_subset_1(A,k1_zfmisc_1(A)).  [resolve(198,b,199,a)].
% 4.96/5.27  
% 4.96/5.27  ============================== end predicate elimination =============
% 4.96/5.27  
% 4.96/5.27  Auto_denials:  (non-Horn, no changes).
% 4.96/5.27  
% 4.96/5.27  Term ordering decisions:
% 4.96/5.27  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. g1_orders_2=1. k1_yellow_0=1. k2_zfmisc_1=1. f1=1. f3=1. f4=1. f5=1. f15=1. k7_lattice3=1. k2_yellow_1=1. k9_waybel_0=1. u1_struct_0=1. u1_orders_2=1. k1_zfmisc_1=1. k8_waybel_0=1. a_1_0_waybel_0=1. a_1_1_waybel_0=1. k3_tarski=1. k4_relat_1=1. f2=1. f6=1. f7=1. f8=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. k6_relset_1=1.
% 4.96/5.27  
% 4.96/5.27  ============================== end of process initial clauses ========
% 4.96/5.27  
% 4.96/5.27  ============================== CLAUSES FOR SEARCH ====================
% 4.96/5.27  
% 4.96/5.27  ============================== end of clauses for search =============
% 4.96/5.27  
% 4.96/5.27  ============================== SEARCH ================================
% 4.96/5.27  
% 4.96/5.27  % Starting search at 1.26 seconds.
% 4.96/5.27  
% 4.96/5.27  NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 191 (0.00 of 1.32 sec).
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=45.000, iters=3834
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=43.000, iters=3773
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=32.000, iters=3594
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=21.000, iters=3393
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=20.000, iters=3335
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=18.000, iters=3353
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=17.000, iters=3336
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=16.000, iters=3387
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=15.000, iters=3475
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=14.000, iters=3340
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=13.000, iters=3341
% 4.96/5.27  
% 4.96/5.27  Low Water (keep): wt=12.000, iters=3350
% 4.96/5.27  
% 4.96/5.27  ============================== PROOF =================================
% 4.96/5.27  % SZS status Theorem
% 4.96/5.27  % SZS output start Refutation
% 4.96/5.27  
% 4.96/5.27  % Proof 1 at 4.27 (+ 0.03) seconds.
% 4.96/5.27  % Length of proof is 43.
% 4.96/5.27  % Level of proof is 6.
% 4.96/5.27  % Maximum clause weight is 44.000.
% 4.96/5.27  % Given clauses 5896.
% 4.96/5.27  
% 4.96/5.27  13 (all A (l1_orders_2(A) -> (v2_lattice3(A) -> -v3_struct_0(A)))) # label(cc2_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  30 (all A (l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & l1_orders_2(k7_lattice3(A)))) # label(dt_k7_lattice3) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  46 (all A (v2_yellow_0(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v1_yellow_0(k7_lattice3(A)))) # label(fc10_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  50 (all A (v2_orders_2(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v2_orders_2(k7_lattice3(A)))) # label(fc1_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  52 (all A (v3_orders_2(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v3_orders_2(k7_lattice3(A)))) # label(fc2_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  54 (all A (v4_orders_2(A) & l1_orders_2(A) -> v1_orders_2(k7_lattice3(A)) & v4_orders_2(k7_lattice3(A)))) # label(fc3_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  59 (all A (v2_lattice3(A) & l1_orders_2(A) -> -v3_struct_0(k7_lattice3(A)) & v1_orders_2(k7_lattice3(A)) & v1_lattice3(k7_lattice3(A)))) # label(fc5_yellow_7) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  103 (all A (-v3_struct_0(A) & v2_orders_2(A) & v3_orders_2(A) & l1_orders_2(A) -> k9_waybel_0(A) = k8_waybel_0(k7_lattice3(A)))) # label(t7_waybel16) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  105 (all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v1_lattice3(A) & v1_yellow_0(A) & l1_orders_2(A) -> (all B (-v1_xboole_0(B) & v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) -> k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) = k3_tarski(B))))) # label(t9_waybel13) # label(axiom) # label(non_clause).  [assumption].
% 4.96/5.27  106 -(all A (v2_orders_2(A) & v3_orders_2(A) & v4_orders_2(A) & v2_yellow_0(A) & v2_lattice3(A) & l1_orders_2(A) -> (all B (-v1_xboole_0(B) & v1_waybel_0(B,k2_yellow_1(k9_waybel_0(A))) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(A))))) -> k1_yellow_0(k2_yellow_1(k9_waybel_0(A)),B) = k3_tarski(B))))) # label(t1_waybel22) # label(negated_conjecture) # label(non_clause).  [assumption].
% 4.96/5.27  144 -v2_yellow_0(A) | -l1_orders_2(A) | v1_yellow_0(k7_lattice3(A)) # label(fc10_yellow_7) # label(axiom).  [clausify(46)].
% 4.96/5.27  150 -v2_orders_2(A) | -v3_orders_2(A) | -v4_orders_2(A) | -v1_lattice3(A) | -v1_yellow_0(A) | -l1_orders_2(A) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(A))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(A)),B) # label(t9_waybel13) # label(axiom).  [clausify(105)].
% 4.96/5.27  208 -l1_orders_2(A) | -v2_lattice3(A) | -v3_struct_0(A) # label(cc2_lattice3) # label(axiom).  [clausify(13)].
% 4.96/5.27  218 -l1_orders_2(A) | l1_orders_2(k7_lattice3(A)) # label(dt_k7_lattice3) # label(axiom).  [clausify(30)].
% 4.96/5.27  228 -v2_orders_2(A) | -l1_orders_2(A) | v2_orders_2(k7_lattice3(A)) # label(fc1_yellow_7) # label(axiom).  [clausify(50)].
% 4.96/5.27  236 -v3_orders_2(A) | -l1_orders_2(A) | v3_orders_2(k7_lattice3(A)) # label(fc2_yellow_7) # label(axiom).  [clausify(52)].
% 4.96/5.27  237 -v4_orders_2(A) | -l1_orders_2(A) | v4_orders_2(k7_lattice3(A)) # label(fc3_yellow_7) # label(axiom).  [clausify(54)].
% 4.96/5.27  242 -v2_lattice3(A) | -l1_orders_2(A) | v1_lattice3(k7_lattice3(A)) # label(fc5_yellow_7) # label(axiom).  [clausify(59)].
% 4.96/5.27  342 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | k9_waybel_0(A) = k8_waybel_0(k7_lattice3(A)) # label(t7_waybel16) # label(axiom).  [clausify(103)].
% 4.96/5.27  343 v3_struct_0(A) | -v2_orders_2(A) | -v3_orders_2(A) | -l1_orders_2(A) | k8_waybel_0(k7_lattice3(A)) = k9_waybel_0(A).  [copy(342),flip(e)].
% 4.96/5.27  345 v2_orders_2(c13) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  346 v3_orders_2(c13) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  347 v4_orders_2(c13) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  348 v2_yellow_0(c13) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  349 v2_lattice3(c13) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  350 l1_orders_2(c13) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  351 -v1_xboole_0(c14) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  352 v1_waybel_0(c14,k2_yellow_1(k9_waybel_0(c13))) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  353 m1_subset_1(c14,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(c13))))) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  354 k3_tarski(c14) != k1_yellow_0(k2_yellow_1(k9_waybel_0(c13)),c14) # label(t1_waybel22) # label(negated_conjecture).  [clausify(106)].
% 4.96/5.27  355 k1_yellow_0(k2_yellow_1(k9_waybel_0(c13)),c14) != k3_tarski(c14).  [copy(354),flip(a)].
% 4.96/5.27  393 -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(k7_lattice3(A)))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A)))))) | k3_tarski(B) = k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A))),B) | -v2_yellow_0(A) | -l1_orders_2(A).  [resolve(150,e,144,c)].
% 4.96/5.27  394 -v2_orders_2(k7_lattice3(A)) | -v3_orders_2(k7_lattice3(A)) | -v4_orders_2(k7_lattice3(A)) | -v1_lattice3(k7_lattice3(A)) | -l1_orders_2(k7_lattice3(A)) | v1_xboole_0(B) | -v1_waybel_0(B,k2_yellow_1(k8_waybel_0(k7_lattice3(A)))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A)))))) | k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(A))),B) = k3_tarski(B) | -v2_yellow_0(A) | -l1_orders_2(A).  [copy(393),flip(i)].
% 4.96/5.27  684 v2_orders_2(k7_lattice3(c13)).  [resolve(345,a,228,a),unit_del(a,350)].
% 4.96/5.27  685 v3_struct_0(c13) | k8_waybel_0(k7_lattice3(c13)) = k9_waybel_0(c13).  [resolve(346,a,343,c),unit_del(b,345),unit_del(c,350)].
% 4.96/5.27  691 v3_orders_2(k7_lattice3(c13)).  [resolve(346,a,236,a),unit_del(a,350)].
% 4.96/5.27  695 v4_orders_2(k7_lattice3(c13)).  [resolve(347,a,237,a),unit_del(a,350)].
% 4.96/5.27  702 v1_lattice3(k7_lattice3(c13)).  [resolve(349,a,242,a),unit_del(a,350)].
% 4.96/5.27  711 -v3_struct_0(c13).  [resolve(349,a,208,b),unit_del(a,350)].
% 4.96/5.27  718 k8_waybel_0(k7_lattice3(c13)) = k9_waybel_0(c13).  [back_unit_del(685),unit_del(a,711)].
% 4.96/5.27  726 l1_orders_2(k7_lattice3(c13)).  [resolve(350,a,218,a)].
% 4.96/5.27  2461 v1_xboole_0(A) | -v1_waybel_0(A,k2_yellow_1(k9_waybel_0(c13))) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(c13))))) | k1_yellow_0(k2_yellow_1(k9_waybel_0(c13)),A) = k3_tarski(A).  [para(718(a,1),394(g,2,1)),rewrite([718(23),718(29)]),unit_del(a,684),unit_del(b,691),unit_del(c,695),unit_del(d,702),unit_del(e,726),unit_del(j,348),unit_del(k,350)].
% 4.96/5.27  16322 $F.  [resolve(2461,b,352,a),unit_del(a,351),unit_del(b,353),unit_del(c,355)].
% 4.96/5.27  
% 4.96/5.27  % SZS output end Refutation
% 4.96/5.27  ============================== end of proof ==========================
% 4.96/5.27  
% 4.96/5.27  ============================== STATISTICS ============================
% 4.96/5.27  
% 4.96/5.27  Given=5896. Generated=52528. Kept=16058. proofs=1.
% 4.96/5.27  Usable=5613. Sos=8038. Demods=777. Limbo=0, Disabled=2747. Hints=0.
% 4.96/5.27  Megabytes=18.84.
% 4.96/5.27  User_CPU=4.27, System_CPU=0.03, Wall_clock=4.
% 4.96/5.27  
% 4.96/5.27  ============================== end of statistics =====================
% 4.96/5.27  
% 4.96/5.27  ============================== end of search =========================
% 4.96/5.27  
% 4.96/5.27  THEOREM PROVED
% 4.96/5.27  % SZS status Theorem
% 4.96/5.27  
% 4.96/5.27  Exiting with 1 proof.
% 4.96/5.27  
% 4.96/5.27  Process 28051 exit (max_proofs) Wed Jun 29 01:02:17 2022
% 4.96/5.27  Prover9 interrupted
%------------------------------------------------------------------------------