TSTP Solution File: LAT337+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n023.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 06:27:46 EDT 2022
% Result : Theorem 1.25s 1.52s
% Output : Refutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT337+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 02:40:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.81/1.07 ============================== Prover9 ===============================
% 0.81/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.81/1.07 Process 3749 was started by sandbox on n023.cluster.edu,
% 0.81/1.07 Wed Jun 29 02:40:30 2022
% 0.81/1.07 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_3596_n023.cluster.edu".
% 0.81/1.07 ============================== end of head ===========================
% 0.81/1.07
% 0.81/1.07 ============================== INPUT =================================
% 0.81/1.07
% 0.81/1.07 % Reading from file /tmp/Prover9_3596_n023.cluster.edu
% 0.81/1.07
% 0.81/1.07 set(prolog_style_variables).
% 0.81/1.07 set(auto2).
% 0.81/1.07 % set(auto2) -> set(auto).
% 0.81/1.07 % set(auto) -> set(auto_inference).
% 0.81/1.07 % set(auto) -> set(auto_setup).
% 0.81/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.81/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.81/1.07 % set(auto) -> set(auto_limits).
% 0.81/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.81/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.81/1.07 % set(auto) -> set(auto_denials).
% 0.81/1.07 % set(auto) -> set(auto_process).
% 0.81/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.81/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.81/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.81/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.81/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.81/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.81/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.81/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.81/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.81/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.81/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.81/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.81/1.07 % set(auto2) -> assign(stats, some).
% 0.81/1.07 % set(auto2) -> clear(echo_input).
% 0.81/1.07 % set(auto2) -> set(quiet).
% 0.81/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.81/1.07 % set(auto2) -> clear(print_given).
% 0.81/1.07 assign(lrs_ticks,-1).
% 0.81/1.07 assign(sos_limit,10000).
% 0.81/1.07 assign(order,kbo).
% 0.81/1.07 set(lex_order_vars).
% 0.81/1.07 clear(print_given).
% 0.81/1.07
% 0.81/1.07 % formulas(sos). % not echoed (83 formulas)
% 0.81/1.07
% 0.81/1.07 ============================== end of input ==========================
% 0.81/1.07
% 0.81/1.07 % From the command line: assign(max_seconds, 300).
% 0.81/1.07
% 0.81/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.81/1.07
% 0.81/1.07 % Formulas that are not ordinary clauses:
% 0.81/1.07 1 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 4 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 5 (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].
% 0.81/1.07 6 (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].
% 0.81/1.07 7 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 8 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v14_lattices(A) -> -v3_struct_0(A) & v15_lattices(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 9 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v15_lattices(A) -> -v3_struct_0(A) & v13_lattices(A) & v14_lattices(A)))) # label(cc4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 10 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v17_lattices(A) -> -v3_struct_0(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.07 11 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 12 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v12_lattices(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 13 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 14 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 15 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 16 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> -v1_xboole_0(k22_filter_2(A,B,C)) & m2_lattice4(k22_filter_2(A,B,C),A))) # label(dt_k22_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 17 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m2_lattice4(B,A) -> m2_nat_lat(k23_filter_2(A,B),A))) # label(dt_k23_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 18 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 19 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 20 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 21 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 22 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 23 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 24 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 25 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 26 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_nat_lat(B,A) -> -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B))))) # label(dt_m2_nat_lat) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 27 (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].
% 0.81/1.08 28 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 29 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 30 (all A (l2_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 31 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 32 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 33 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 34 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 35 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 36 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 37 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 38 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_nat_lat(B,A)))) # label(existence_m2_nat_lat) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 39 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 40 (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].
% 0.81/1.08 41 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 42 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 43 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 44 (all A all B all C (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 45 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 46 (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].
% 0.81/1.08 47 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m2_lattice4(B,A) -> -v3_struct_0(k23_filter_2(A,B)) & v3_lattices(k23_filter_2(A,B)) & v4_lattices(k23_filter_2(A,B)) & v5_lattices(k23_filter_2(A,B)) & v6_lattices(k23_filter_2(A,B)) & v7_lattices(k23_filter_2(A,B)) & v8_lattices(k23_filter_2(A,B)) & v9_lattices(k23_filter_2(A,B)) & v10_lattices(k23_filter_2(A,B)))) # label(fc5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 48 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 49 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> A = D & B = E & C = F)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 50 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A))) # label(rc10_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 51 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 52 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A))) # label(rc12_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 53 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v17_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 54 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 55 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B (m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(rc1_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 56 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B (m2_nat_lat(B,A) & -v3_struct_0(B) & v3_lattices(B) & v4_lattices(B) & v5_lattices(B) & v6_lattices(B) & v7_lattices(B) & v8_lattices(B) & v9_lattices(B) & v10_lattices(B))))) # label(rc1_nat_lat) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 57 (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].
% 0.81/1.08 58 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 59 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 60 (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].
% 0.81/1.08 61 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 62 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 63 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 64 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 65 (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].
% 0.81/1.08 66 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 67 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 68 (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].
% 0.81/1.08 69 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 70 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 71 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 72 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 73 (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].
% 0.81/1.08 74 (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].
% 0.81/1.08 75 (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].
% 0.81/1.08 76 (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].
% 0.81/1.08 77 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 78 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (v11_lattices(A) -> v11_lattices(k23_filter_2(A,B))))))) # label(t78_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 79 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 80 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) & v12_lattices(A) & r3_lattices(A,B,C) -> -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) & v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))))))))) # label(t86_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 81 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 82 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & r3_lattices(A,B,C) -> -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) & v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v17_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))))))))) # label(t87_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.81/1.08
% 0.81/1.08 ============================== end of process non-clausal formulas ===
% 0.81/1.08
% 0.81/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.08
% 0.81/1.08 ============================== PREDICATE ELIMINATION =================
% 0.81/1.08 83 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_lattices(g3_lattices(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(13)].
% 0.81/1.08 84 -l3_lattices(A) | -v3_lattices(A) | g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(1)].
% 0.81/1.08 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -l3_lattices(g3_lattices(B,A,C)) | g3_lattices(u1_struct_0(g3_lattices(B,A,C)),u2_lattices(g3_lattices(B,A,C)),u1_lattices(g3_lattices(B,A,C))) = g3_lattices(B,A,C). [resolve(83,g,84,b)].
% 0.81/1.08 85 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A) | v3_lattices(g3_lattices(A,B,C)) # label(fc3_lattices) # label(axiom). [clausify(44)].
% 0.81/1.08 86 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | -l3_lattices(k23_filter_2(A,B)) | g3_lattices(u1_struct_0(k23_filter_2(A,B)),u2_lattices(k23_filter_2(A,B)),u1_lattices(k23_filter_2(A,B))) = k23_filter_2(A,B). [resolve(86,f,84,b)].
% 0.81/1.09 87 v3_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(50)].
% 0.81/1.09 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(87,a,84,b)].
% 0.81/1.09 88 v3_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(51)].
% 0.81/1.09 Derived: -l3_lattices(c6) | g3_lattices(u1_struct_0(c6),u2_lattices(c6),u1_lattices(c6)) = c6. [resolve(88,a,84,b)].
% 0.81/1.09 89 v3_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(52)].
% 0.81/1.09 Derived: -l3_lattices(c7) | g3_lattices(u1_struct_0(c7),u2_lattices(c7),u1_lattices(c7)) = c7. [resolve(89,a,84,b)].
% 0.81/1.09 90 v3_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(53)].
% 0.81/1.09 Derived: -l3_lattices(c8) | g3_lattices(u1_struct_0(c8),u2_lattices(c8),u1_lattices(c8)) = c8. [resolve(90,a,84,b)].
% 0.81/1.09 91 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(f7(A)) # label(rc1_nat_lat) # label(axiom). [clausify(56)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -l3_lattices(f7(A)) | g3_lattices(u1_struct_0(f7(A)),u2_lattices(f7(A)),u1_lattices(f7(A))) = f7(A). [resolve(91,d,84,b)].
% 0.81/1.09 92 v3_lattices(c14) # label(rc3_lattices) # label(axiom). [clausify(63)].
% 0.81/1.09 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(92,a,84,b)].
% 0.81/1.09 93 v3_lattices(c16) # label(rc6_lattices) # label(axiom). [clausify(66)].
% 0.81/1.09 Derived: -l3_lattices(c16) | g3_lattices(u1_struct_0(c16),u2_lattices(c16),u1_lattices(c16)) = c16. [resolve(93,a,84,b)].
% 0.81/1.09 94 v3_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(67)].
% 0.81/1.09 Derived: -l3_lattices(c17) | g3_lattices(u1_struct_0(c17),u2_lattices(c17),u1_lattices(c17)) = c17. [resolve(94,a,84,b)].
% 0.81/1.09 95 -l3_lattices(A) | v3_struct_0(A) | -v4_lattices(A) | -v5_lattices(A) | -v6_lattices(A) | -v7_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | v10_lattices(A) # label(cc2_lattices) # label(axiom). [clausify(7)].
% 0.81/1.09 96 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.81/1.09 97 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v4_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.81/1.09 98 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(42)].
% 0.81/1.09 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(98,b,96,d)].
% 0.81/1.09 99 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(42)].
% 0.81/1.09 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(99,b,96,d)].
% 0.81/1.09 100 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(42)].
% 0.81/1.09 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(100,b,96,d)].
% 0.81/1.09 101 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(42)].
% 0.81/1.09 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(101,b,96,d)].
% 0.81/1.09 102 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(42)].
% 0.81/1.09 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(102,b,96,d)].
% 0.81/1.09 103 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v4_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_relat_1(u2_lattices(k23_filter_2(A,B))). [resolve(103,f,98,b)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_funct_1(u2_lattices(k23_filter_2(A,B))). [resolve(103,f,99,b)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_funct_2(u2_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(103,f,100,b)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_binop_1(u2_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))). [resolve(103,f,101,b)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_partfun1(u2_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(103,f,102,b)].
% 0.81/1.09 104 v4_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(50)].
% 0.81/1.09 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(104,a,98,b)].
% 0.81/1.09 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(104,a,99,b)].
% 0.81/1.09 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_2(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(104,a,100,b)].
% 0.81/1.09 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(104,a,101,b)].
% 0.81/1.09 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_partfun1(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(104,a,102,b)].
% 0.81/1.09 105 v4_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(51)].
% 0.81/1.09 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(105,a,98,b)].
% 0.81/1.09 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_1(u2_lattices(c6)). [resolve(105,a,99,b)].
% 0.81/1.09 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_2(u2_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(105,a,100,b)].
% 0.81/1.09 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(105,a,101,b)].
% 0.81/1.09 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_partfun1(u2_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(105,a,102,b)].
% 0.81/1.09 106 v4_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(52)].
% 0.81/1.09 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(106,a,98,b)].
% 0.81/1.09 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_1(u2_lattices(c7)). [resolve(106,a,99,b)].
% 0.81/1.09 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_2(u2_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(106,a,100,b)].
% 0.81/1.09 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(106,a,101,b)].
% 0.81/1.09 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_partfun1(u2_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(106,a,102,b)].
% 0.81/1.09 107 v4_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(53)].
% 0.81/1.09 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(107,a,98,b)].
% 0.81/1.09 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_1(u2_lattices(c8)). [resolve(107,a,99,b)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_2(u2_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(107,a,100,b)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(107,a,101,b)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_partfun1(u2_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(107,a,102,b)].
% 0.81/1.10 108 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(f7(A)) # label(rc1_nat_lat) # label(axiom). [clausify(56)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | v1_relat_1(u2_lattices(f7(A))). [resolve(108,d,98,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | v1_funct_1(u2_lattices(f7(A))). [resolve(108,d,99,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | v1_funct_2(u2_lattices(f7(A)),k2_zfmisc_1(u1_struct_0(f7(A)),u1_struct_0(f7(A))),u1_struct_0(f7(A))). [resolve(108,d,100,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | v1_binop_1(u2_lattices(f7(A)),u1_struct_0(f7(A))). [resolve(108,d,101,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | v1_partfun1(u2_lattices(f7(A)),k2_zfmisc_1(u1_struct_0(f7(A)),u1_struct_0(f7(A))),u1_struct_0(f7(A))). [resolve(108,d,102,b)].
% 0.81/1.10 109 v4_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(67)].
% 0.81/1.10 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(109,a,98,b)].
% 0.81/1.10 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_1(u2_lattices(c17)). [resolve(109,a,99,b)].
% 0.81/1.10 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_2(u2_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(109,a,100,b)].
% 0.81/1.10 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(109,a,101,b)].
% 0.81/1.10 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_partfun1(u2_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(109,a,102,b)].
% 0.81/1.10 110 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(43)].
% 0.81/1.10 111 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.81/1.10 112 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v5_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.81/1.10 113 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(43)].
% 0.81/1.10 114 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(43)].
% 0.81/1.10 115 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(43)].
% 0.81/1.10 Derived: v3_struct_0(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(115,b,111,d)].
% 0.81/1.10 116 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(43)].
% 0.81/1.10 117 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v5_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v2_binop_1(u2_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))). [resolve(117,f,115,b)].
% 0.81/1.10 118 v5_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(50)].
% 0.81/1.10 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(118,a,115,b)].
% 0.81/1.10 119 v5_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(51)].
% 0.81/1.10 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v2_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(119,a,115,b)].
% 0.81/1.10 120 v5_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(52)].
% 0.81/1.10 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v2_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(120,a,115,b)].
% 0.81/1.10 121 v5_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(53)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v2_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(121,a,115,b)].
% 0.81/1.10 122 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(f7(A)) # label(rc1_nat_lat) # label(axiom). [clausify(56)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | v2_binop_1(u2_lattices(f7(A)),u1_struct_0(f7(A))). [resolve(122,d,115,b)].
% 0.81/1.10 123 v5_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(67)].
% 0.81/1.10 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v2_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(123,a,115,b)].
% 0.81/1.10 124 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(45)].
% 0.81/1.10 125 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.81/1.10 126 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v6_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.81/1.10 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(124,b,125,d)].
% 0.81/1.10 127 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(45)].
% 0.81/1.10 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(127,b,125,d)].
% 0.81/1.10 128 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(45)].
% 0.81/1.10 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(128,b,125,d)].
% 0.81/1.10 129 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(45)].
% 0.81/1.10 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_binop_1(u1_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(129,b,125,d)].
% 0.81/1.10 130 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(45)].
% 0.81/1.10 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(130,b,125,d)].
% 0.81/1.10 131 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v6_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_relat_1(u1_lattices(k23_filter_2(A,B))). [resolve(131,f,124,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_funct_1(u1_lattices(k23_filter_2(A,B))). [resolve(131,f,127,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_funct_2(u1_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(131,f,128,b)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_binop_1(u1_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))). [resolve(131,f,129,b)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_partfun1(u1_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(131,f,130,b)].
% 0.81/1.11 132 v6_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(50)].
% 0.81/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(132,a,124,b)].
% 0.81/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(132,a,127,b)].
% 0.81/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_2(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(132,a,128,b)].
% 0.81/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(132,a,129,b)].
% 0.81/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_partfun1(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(132,a,130,b)].
% 0.81/1.11 133 v6_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(51)].
% 0.81/1.11 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(133,a,124,b)].
% 0.81/1.11 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_1(u1_lattices(c6)). [resolve(133,a,127,b)].
% 0.81/1.11 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_2(u1_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(133,a,128,b)].
% 0.81/1.11 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(133,a,129,b)].
% 0.81/1.11 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_partfun1(u1_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(133,a,130,b)].
% 0.81/1.11 134 v6_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(52)].
% 0.81/1.11 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(134,a,124,b)].
% 0.81/1.11 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_1(u1_lattices(c7)). [resolve(134,a,127,b)].
% 0.81/1.11 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_2(u1_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(134,a,128,b)].
% 0.81/1.11 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(134,a,129,b)].
% 0.81/1.11 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_partfun1(u1_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(134,a,130,b)].
% 0.81/1.11 135 v6_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(53)].
% 0.81/1.11 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(135,a,124,b)].
% 0.81/1.11 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_1(u1_lattices(c8)). [resolve(135,a,127,b)].
% 0.81/1.11 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_2(u1_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(135,a,128,b)].
% 0.81/1.11 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(135,a,129,b)].
% 0.81/1.11 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_partfun1(u1_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(135,a,130,b)].
% 0.81/1.11 136 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(f7(A)) # label(rc1_nat_lat) # label(axiom). [clausify(56)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | v1_relat_1(u1_lattices(f7(A))). [resolve(136,d,124,b)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | v1_funct_1(u1_lattices(f7(A))). [resolve(136,d,127,b)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | v1_funct_2(u1_lattices(f7(A)),k2_zfmisc_1(u1_struct_0(f7(A)),u1_struct_0(f7(A))),u1_struct_0(f7(A))). [resolve(136,d,128,b)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | v1_binop_1(u1_lattices(f7(A)),u1_struct_0(f7(A))). [resolve(136,d,129,b)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | v1_partfun1(u1_lattices(f7(A)),k2_zfmisc_1(u1_struct_0(f7(A)),u1_struct_0(f7(A))),u1_struct_0(f7(A))). [resolve(136,d,130,b)].
% 0.81/1.11 137 v6_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(67)].
% 0.81/1.11 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(137,a,124,b)].
% 0.81/1.11 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_1(u1_lattices(c17)). [resolve(137,a,127,b)].
% 0.81/1.11 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_2(u1_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(137,a,128,b)].
% 0.81/1.11 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(137,a,129,b)].
% 0.81/1.11 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_partfun1(u1_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(137,a,130,b)].
% 0.81/1.11 138 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(69)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(138,b,125,d)].
% 0.81/1.11 Derived: v3_struct_0(k23_filter_2(A,B)) | -v8_lattices(k23_filter_2(A,B)) | -v9_lattices(k23_filter_2(A,B)) | -l3_lattices(k23_filter_2(A,B)) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,B))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,B))) | -r3_lattices(k23_filter_2(A,B),C,D) | r1_lattices(k23_filter_2(A,B),C,D) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(138,b,131,f)].
% 0.81/1.11 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -r3_lattices(c5,A,B) | r1_lattices(c5,A,B). [resolve(138,b,132,a)].
% 0.81/1.11 Derived: v3_struct_0(c6) | -v8_lattices(c6) | -v9_lattices(c6) | -l3_lattices(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | -r3_lattices(c6,A,B) | r1_lattices(c6,A,B). [resolve(138,b,133,a)].
% 0.81/1.11 Derived: v3_struct_0(c7) | -v8_lattices(c7) | -v9_lattices(c7) | -l3_lattices(c7) | -m1_subset_1(A,u1_struct_0(c7)) | -m1_subset_1(B,u1_struct_0(c7)) | -r3_lattices(c7,A,B) | r1_lattices(c7,A,B). [resolve(138,b,134,a)].
% 0.81/1.11 Derived: v3_struct_0(c8) | -v8_lattices(c8) | -v9_lattices(c8) | -l3_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | -r3_lattices(c8,A,B) | r1_lattices(c8,A,B). [resolve(138,b,135,a)].
% 0.81/1.11 Derived: v3_struct_0(f7(A)) | -v8_lattices(f7(A)) | -v9_lattices(f7(A)) | -l3_lattices(f7(A)) | -m1_subset_1(B,u1_struct_0(f7(A))) | -m1_subset_1(C,u1_struct_0(f7(A))) | -r3_lattices(f7(A),B,C) | r1_lattices(f7(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(138,b,136,d)].
% 0.81/1.11 Derived: v3_struct_0(c17) | -v8_lattices(c17) | -v9_lattices(c17) | -l3_lattices(c17) | -m1_subset_1(A,u1_struct_0(c17)) | -m1_subset_1(B,u1_struct_0(c17)) | -r3_lattices(c17,A,B) | r1_lattices(c17,A,B). [resolve(138,b,137,a)].
% 0.81/1.11 139 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(69)].
% 0.81/1.11 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(139,b,125,d)].
% 0.81/1.12 Derived: v3_struct_0(k23_filter_2(A,B)) | -v8_lattices(k23_filter_2(A,B)) | -v9_lattices(k23_filter_2(A,B)) | -l3_lattices(k23_filter_2(A,B)) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,B))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,B))) | r3_lattices(k23_filter_2(A,B),C,D) | -r1_lattices(k23_filter_2(A,B),C,D) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(139,b,131,f)].
% 0.81/1.12 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | r3_lattices(c5,A,B) | -r1_lattices(c5,A,B). [resolve(139,b,132,a)].
% 0.81/1.12 Derived: v3_struct_0(c6) | -v8_lattices(c6) | -v9_lattices(c6) | -l3_lattices(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | r3_lattices(c6,A,B) | -r1_lattices(c6,A,B). [resolve(139,b,133,a)].
% 0.81/1.12 Derived: v3_struct_0(c7) | -v8_lattices(c7) | -v9_lattices(c7) | -l3_lattices(c7) | -m1_subset_1(A,u1_struct_0(c7)) | -m1_subset_1(B,u1_struct_0(c7)) | r3_lattices(c7,A,B) | -r1_lattices(c7,A,B). [resolve(139,b,134,a)].
% 0.81/1.12 Derived: v3_struct_0(c8) | -v8_lattices(c8) | -v9_lattices(c8) | -l3_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | r3_lattices(c8,A,B) | -r1_lattices(c8,A,B). [resolve(139,b,135,a)].
% 0.81/1.12 Derived: v3_struct_0(f7(A)) | -v8_lattices(f7(A)) | -v9_lattices(f7(A)) | -l3_lattices(f7(A)) | -m1_subset_1(B,u1_struct_0(f7(A))) | -m1_subset_1(C,u1_struct_0(f7(A))) | r3_lattices(f7(A),B,C) | -r1_lattices(f7(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(139,b,136,d)].
% 0.81/1.12 Derived: v3_struct_0(c17) | -v8_lattices(c17) | -v9_lattices(c17) | -l3_lattices(c17) | -m1_subset_1(A,u1_struct_0(c17)) | -m1_subset_1(B,u1_struct_0(c17)) | r3_lattices(c17,A,B) | -r1_lattices(c17,A,B). [resolve(139,b,137,a)].
% 0.81/1.12 140 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(71)].
% 0.81/1.12 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(140,b,125,d)].
% 0.81/1.12 Derived: v3_struct_0(k23_filter_2(A,B)) | -v8_lattices(k23_filter_2(A,B)) | -v9_lattices(k23_filter_2(A,B)) | -l3_lattices(k23_filter_2(A,B)) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,B))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,B))) | r3_lattices(k23_filter_2(A,B),C,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(140,b,131,f)].
% 0.81/1.12 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | r3_lattices(c5,A,A). [resolve(140,b,132,a)].
% 0.81/1.12 Derived: v3_struct_0(c6) | -v8_lattices(c6) | -v9_lattices(c6) | -l3_lattices(c6) | -m1_subset_1(A,u1_struct_0(c6)) | -m1_subset_1(B,u1_struct_0(c6)) | r3_lattices(c6,A,A). [resolve(140,b,133,a)].
% 0.81/1.12 Derived: v3_struct_0(c7) | -v8_lattices(c7) | -v9_lattices(c7) | -l3_lattices(c7) | -m1_subset_1(A,u1_struct_0(c7)) | -m1_subset_1(B,u1_struct_0(c7)) | r3_lattices(c7,A,A). [resolve(140,b,134,a)].
% 0.81/1.12 Derived: v3_struct_0(c8) | -v8_lattices(c8) | -v9_lattices(c8) | -l3_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | r3_lattices(c8,A,A). [resolve(140,b,135,a)].
% 0.81/1.12 Derived: v3_struct_0(f7(A)) | -v8_lattices(f7(A)) | -v9_lattices(f7(A)) | -l3_lattices(f7(A)) | -m1_subset_1(B,u1_struct_0(f7(A))) | -m1_subset_1(C,u1_struct_0(f7(A))) | r3_lattices(f7(A),B,B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(140,b,136,d)].
% 0.81/1.12 Derived: v3_struct_0(c17) | -v8_lattices(c17) | -v9_lattices(c17) | -l3_lattices(c17) | -m1_subset_1(A,u1_struct_0(c17)) | -m1_subset_1(B,u1_struct_0(c17)) | r3_lattices(c17,A,A). [resolve(140,b,137,a)].
% 0.81/1.12 141 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(48)].
% 0.81/1.13 142 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.81/1.13 143 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v7_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.81/1.13 144 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v7_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.13 145 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(48)].
% 0.81/1.13 146 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(48)].
% 0.81/1.13 147 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v2_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(48)].
% 0.81/1.13 Derived: v3_struct_0(A) | -l1_lattices(A) | v2_binop_1(u1_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(147,b,142,d)].
% 0.81/1.13 Derived: v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v2_binop_1(u1_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(147,b,144,f)].
% 0.81/1.13 148 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(48)].
% 0.81/1.13 149 v7_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(50)].
% 0.81/1.13 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(149,a,147,b)].
% 0.81/1.13 150 v7_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(51)].
% 0.81/1.13 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v2_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(150,a,147,b)].
% 0.81/1.13 151 v7_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(52)].
% 0.81/1.13 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v2_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(151,a,147,b)].
% 0.81/1.13 152 v7_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(53)].
% 0.81/1.13 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v2_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(152,a,147,b)].
% 0.81/1.13 153 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(f7(A)) # label(rc1_nat_lat) # label(axiom). [clausify(56)].
% 0.81/1.13 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | v2_binop_1(u1_lattices(f7(A)),u1_struct_0(f7(A))). [resolve(153,d,147,b)].
% 0.81/1.13 154 v7_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(67)].
% 0.81/1.13 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v2_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(154,a,147,b)].
% 0.81/1.13 155 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.81/1.13 156 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.81/1.13 Derived: -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(155,a,156,b)].
% 0.81/1.13 157 v1_relat_1(c9) # label(rc1_funct_1) # label(axiom). [clausify(54)].
% 0.81/1.13 Derived: -v1_xboole_0(c9) | -v1_funct_1(c9) | v2_funct_1(c9). [resolve(157,a,155,a)].
% 0.81/1.13 158 v1_relat_1(c11) # label(rc2_funct_1) # label(axiom). [clausify(59)].
% 0.81/1.13 Derived: -v1_xboole_0(c11) | -v1_funct_1(c11) | v2_funct_1(c11). [resolve(158,a,155,a)].
% 0.81/1.13 159 v1_relat_1(c13) # label(rc3_funct_1) # label(axiom). [clausify(62)].
% 0.81/1.13 160 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(98,b,96,d)].
% 0.81/1.13 Derived: v3_struct_0(A) | -l2_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v1_xboole_0(u2_lattices(A)) | -v1_funct_1(u2_lattices(A)) | v2_funct_1(u2_lattices(A)). [resolve(160,c,155,a)].
% 0.81/1.14 161 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_relat_1(u2_lattices(k23_filter_2(A,B))). [resolve(103,f,98,b)].
% 0.81/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | -v1_xboole_0(u2_lattices(k23_filter_2(A,B))) | -v1_funct_1(u2_lattices(k23_filter_2(A,B))) | v2_funct_1(u2_lattices(k23_filter_2(A,B))). [resolve(161,h,155,a)].
% 0.81/1.14 162 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(104,a,98,b)].
% 0.81/1.14 Derived: v3_struct_0(c5) | -l2_lattices(c5) | -v1_xboole_0(u2_lattices(c5)) | -v1_funct_1(u2_lattices(c5)) | v2_funct_1(u2_lattices(c5)). [resolve(162,c,155,a)].
% 0.81/1.14 163 v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(105,a,98,b)].
% 0.81/1.14 Derived: v3_struct_0(c6) | -l2_lattices(c6) | -v1_xboole_0(u2_lattices(c6)) | -v1_funct_1(u2_lattices(c6)) | v2_funct_1(u2_lattices(c6)). [resolve(163,c,155,a)].
% 0.81/1.14 164 v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(106,a,98,b)].
% 0.81/1.14 Derived: v3_struct_0(c7) | -l2_lattices(c7) | -v1_xboole_0(u2_lattices(c7)) | -v1_funct_1(u2_lattices(c7)) | v2_funct_1(u2_lattices(c7)). [resolve(164,c,155,a)].
% 0.81/1.14 165 v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(107,a,98,b)].
% 0.81/1.14 Derived: v3_struct_0(c8) | -l2_lattices(c8) | -v1_xboole_0(u2_lattices(c8)) | -v1_funct_1(u2_lattices(c8)) | v2_funct_1(u2_lattices(c8)). [resolve(165,c,155,a)].
% 0.81/1.14 166 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | v1_relat_1(u2_lattices(f7(A))). [resolve(108,d,98,b)].
% 0.81/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l2_lattices(f7(A)) | -v1_xboole_0(u2_lattices(f7(A))) | -v1_funct_1(u2_lattices(f7(A))) | v2_funct_1(u2_lattices(f7(A))). [resolve(166,f,155,a)].
% 0.81/1.14 167 v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(109,a,98,b)].
% 0.81/1.14 Derived: v3_struct_0(c17) | -l2_lattices(c17) | -v1_xboole_0(u2_lattices(c17)) | -v1_funct_1(u2_lattices(c17)) | v2_funct_1(u2_lattices(c17)). [resolve(167,c,155,a)].
% 0.81/1.14 168 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(124,b,125,d)].
% 0.81/1.14 Derived: v3_struct_0(A) | -l1_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v1_xboole_0(u1_lattices(A)) | -v1_funct_1(u1_lattices(A)) | v2_funct_1(u1_lattices(A)). [resolve(168,c,155,a)].
% 0.81/1.14 169 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_relat_1(u1_lattices(k23_filter_2(A,B))). [resolve(131,f,124,b)].
% 0.81/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | -v1_xboole_0(u1_lattices(k23_filter_2(A,B))) | -v1_funct_1(u1_lattices(k23_filter_2(A,B))) | v2_funct_1(u1_lattices(k23_filter_2(A,B))). [resolve(169,h,155,a)].
% 0.81/1.14 170 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(132,a,124,b)].
% 0.81/1.14 Derived: v3_struct_0(c5) | -l1_lattices(c5) | -v1_xboole_0(u1_lattices(c5)) | -v1_funct_1(u1_lattices(c5)) | v2_funct_1(u1_lattices(c5)). [resolve(170,c,155,a)].
% 0.81/1.14 171 v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(133,a,124,b)].
% 0.81/1.14 Derived: v3_struct_0(c6) | -l1_lattices(c6) | -v1_xboole_0(u1_lattices(c6)) | -v1_funct_1(u1_lattices(c6)) | v2_funct_1(u1_lattices(c6)). [resolve(171,c,155,a)].
% 0.81/1.14 172 v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(134,a,124,b)].
% 0.81/1.14 Derived: v3_struct_0(c7) | -l1_lattices(c7) | -v1_xboole_0(u1_lattices(c7)) | -v1_funct_1(u1_lattices(c7)) | v2_funct_1(u1_lattices(c7)). [resolve(172,c,155,a)].
% 0.81/1.14 173 v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(135,a,124,b)].
% 0.81/1.14 Derived: v3_struct_0(c8) | -l1_lattices(c8) | -v1_xboole_0(u1_lattices(c8)) | -v1_funct_1(u1_lattices(c8)) | v2_funct_1(u1_lattices(c8)). [resolve(173,c,155,a)].
% 0.81/1.15 174 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | v1_relat_1(u1_lattices(f7(A))). [resolve(136,d,124,b)].
% 0.81/1.15 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(f7(A)) | -l1_lattices(f7(A)) | -v1_xboole_0(u1_lattices(f7(A))) | -v1_funct_1(u1_lattices(f7(A))) | v2_funct_1(u1_lattices(f7(A))). [resolve(174,f,155,a)].
% 0.81/1.15 175 v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(137,a,124,b)].
% 0.81/1.15 Derived: v3_struct_0(c17) | -l1_lattices(c17) | -v1_xboole_0(u1_lattices(c17)) | -v1_funct_1(u1_lattices(c17)) | v2_funct_1(u1_lattices(c17)). [resolve(175,c,155,a)].
% 0.81/1.15 176 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.81/1.15 177 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.81/1.15 178 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v13_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.81/1.15 179 v13_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(50)].
% 0.81/1.15 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | v15_lattices(c5). [resolve(179,a,177,c)].
% 0.81/1.15 180 v13_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(51)].
% 0.81/1.15 181 v13_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(52)].
% 0.81/1.15 182 v13_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(53)].
% 0.81/1.15 183 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 0.81/1.15 184 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v12_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.81/1.15 185 v12_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(50)].
% 0.81/1.15 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(183,h,184,e)].
% 0.81/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -v15_lattices(c5) | -v16_lattices(c5) | -r3_lattices(c5,A,B) | -v3_struct_0(k23_filter_2(c5,k22_filter_2(c5,A,B))). [resolve(183,h,185,a)].
% 0.81/1.15 186 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 0.81/1.15 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(186,h,184,e)].
% 0.81/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -v15_lattices(c5) | -v16_lattices(c5) | -r3_lattices(c5,A,B) | v10_lattices(k23_filter_2(c5,k22_filter_2(c5,A,B))). [resolve(186,h,185,a)].
% 0.81/1.15 187 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 0.81/1.15 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(187,h,184,e)].
% 0.81/1.16 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -v15_lattices(c5) | -v16_lattices(c5) | -r3_lattices(c5,A,B) | v15_lattices(k23_filter_2(c5,k22_filter_2(c5,A,B))). [resolve(187,h,185,a)].
% 0.81/1.16 188 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(188,h,184,e)].
% 0.81/1.16 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -v15_lattices(c5) | -v16_lattices(c5) | -r3_lattices(c5,A,B) | v16_lattices(k23_filter_2(c5,k22_filter_2(c5,A,B))). [resolve(188,h,185,a)].
% 0.81/1.16 189 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(189,h,184,e)].
% 0.81/1.16 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -v15_lattices(c5) | -v16_lattices(c5) | -r3_lattices(c5,A,B) | l3_lattices(k23_filter_2(c5,k22_filter_2(c5,A,B))). [resolve(189,h,185,a)].
% 0.81/1.16 190 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | m2_nat_lat(k23_filter_2(A,B),A) # label(dt_k23_filter_2) # label(axiom). [clausify(17)].
% 0.81/1.16 191 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m2_lattice4(k22_filter_2(A,B,C),A) # label(dt_k22_filter_2) # label(axiom). [clausify(16)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | m2_nat_lat(k23_filter_2(A,k22_filter_2(A,B,C)),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(190,e,191,f)].
% 0.81/1.16 192 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_lattice4(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m2_lattice4) # label(axiom). [clausify(25)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k22_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(192,d,191,f)].
% 0.81/1.16 193 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f3(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(37)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | m2_nat_lat(k23_filter_2(A,f3(A)),A). [resolve(193,d,190,e)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f3(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(193,d,192,d)].
% 0.81/1.16 194 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | -v3_struct_0(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(194,e,191,f)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | -v3_struct_0(k23_filter_2(A,f3(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(194,e,193,d)].
% 0.81/1.17 195 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v8_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v8_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(195,e,191,f)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v8_lattices(k23_filter_2(A,f3(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(195,e,193,d)].
% 0.81/1.17 196 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v9_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v9_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(196,e,191,f)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v9_lattices(k23_filter_2(A,f3(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(196,e,193,d)].
% 0.81/1.17 197 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v10_lattices(k23_filter_2(A,B)) # label(fc5_filter_2) # label(axiom). [clausify(47)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(197,e,191,f)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v10_lattices(k23_filter_2(A,f3(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(197,e,193,d)].
% 0.81/1.17 198 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(rc1_lattice4) # label(axiom). [clausify(55)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | m2_nat_lat(k23_filter_2(A,f6(A)),A). [resolve(198,d,190,e)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(198,d,192,d)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | -v3_struct_0(k23_filter_2(A,f6(A))). [resolve(198,d,194,e)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v8_lattices(k23_filter_2(A,f6(A))). [resolve(198,d,195,e)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v9_lattices(k23_filter_2(A,f6(A))). [resolve(198,d,196,e)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v10_lattices(k23_filter_2(A,f6(A))). [resolve(198,d,197,e)].
% 0.81/1.17 199 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | -v11_lattices(A) | v11_lattices(k23_filter_2(A,B)) # label(t78_filter_2) # label(axiom). [clausify(78)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | -v11_lattices(A) | v11_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(199,e,191,f)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | -v11_lattices(A) | v11_lattices(k23_filter_2(A,f3(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(199,e,193,d)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | -v11_lattices(A) | v11_lattices(k23_filter_2(A,f6(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(199,e,198,d)].
% 0.81/1.17 200 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | -l3_lattices(k23_filter_2(A,B)) | g3_lattices(u1_struct_0(k23_filter_2(A,B)),u2_lattices(k23_filter_2(A,B)),u1_lattices(k23_filter_2(A,B))) = k23_filter_2(A,B). [resolve(86,f,84,b)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | -l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | g3_lattices(u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))),u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) = k23_filter_2(A,k22_filter_2(A,B,C)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(200,e,191,f)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | -l3_lattices(k23_filter_2(A,f3(A))) | g3_lattices(u1_struct_0(k23_filter_2(A,f3(A))),u2_lattices(k23_filter_2(A,f3(A))),u1_lattices(k23_filter_2(A,f3(A)))) = k23_filter_2(A,f3(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(200,e,193,d)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | -l3_lattices(k23_filter_2(A,f6(A))) | g3_lattices(u1_struct_0(k23_filter_2(A,f6(A))),u2_lattices(k23_filter_2(A,f6(A))),u1_lattices(k23_filter_2(A,f6(A)))) = k23_filter_2(A,f6(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(200,e,198,d)].
% 0.81/1.17 201 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_funct_1(u2_lattices(k23_filter_2(A,B))). [resolve(103,f,99,b)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_funct_1(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(201,e,191,f)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l2_lattices(k23_filter_2(A,f3(A))) | v1_funct_1(u2_lattices(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(201,e,193,d)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l2_lattices(k23_filter_2(A,f6(A))) | v1_funct_1(u2_lattices(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(201,e,198,d)].
% 0.81/1.17 202 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_funct_2(u2_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(103,f,100,b)].
% 0.81/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_funct_2(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(202,e,191,f)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l2_lattices(k23_filter_2(A,f3(A))) | v1_funct_2(u2_lattices(k23_filter_2(A,f3(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(202,e,193,d)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l2_lattices(k23_filter_2(A,f6(A))) | v1_funct_2(u2_lattices(k23_filter_2(A,f6(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(202,e,198,d)].
% 0.81/1.18 203 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_binop_1(u2_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))). [resolve(103,f,101,b)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_binop_1(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(203,e,191,f)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l2_lattices(k23_filter_2(A,f3(A))) | v1_binop_1(u2_lattices(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(203,e,193,d)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l2_lattices(k23_filter_2(A,f6(A))) | v1_binop_1(u2_lattices(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(203,e,198,d)].
% 0.81/1.18 204 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v1_partfun1(u2_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(103,f,102,b)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_partfun1(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(204,e,191,f)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l2_lattices(k23_filter_2(A,f3(A))) | v1_partfun1(u2_lattices(k23_filter_2(A,f3(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(204,e,193,d)].
% 0.81/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l2_lattices(k23_filter_2(A,f6(A))) | v1_partfun1(u2_lattices(k23_filter_2(A,f6(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(204,e,198,d)].
% 0.92/1.18 205 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | v2_binop_1(u2_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))). [resolve(117,f,115,b)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v2_binop_1(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(205,e,191,f)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l2_lattices(k23_filter_2(A,f3(A))) | v2_binop_1(u2_lattices(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(205,e,193,d)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l2_lattices(k23_filter_2(A,f6(A))) | v2_binop_1(u2_lattices(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(205,e,198,d)].
% 0.92/1.18 206 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_funct_1(u1_lattices(k23_filter_2(A,B))). [resolve(131,f,127,b)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_funct_1(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(206,e,191,f)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l1_lattices(k23_filter_2(A,f3(A))) | v1_funct_1(u1_lattices(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(206,e,193,d)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l1_lattices(k23_filter_2(A,f6(A))) | v1_funct_1(u1_lattices(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(206,e,198,d)].
% 0.92/1.18 207 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_funct_2(u1_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(131,f,128,b)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_funct_2(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(207,e,191,f)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l1_lattices(k23_filter_2(A,f3(A))) | v1_funct_2(u1_lattices(k23_filter_2(A,f3(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(207,e,193,d)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l1_lattices(k23_filter_2(A,f6(A))) | v1_funct_2(u1_lattices(k23_filter_2(A,f6(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(207,e,198,d)].
% 0.92/1.18 208 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_binop_1(u1_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))). [resolve(131,f,129,b)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_binop_1(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(208,e,191,f)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l1_lattices(k23_filter_2(A,f3(A))) | v1_binop_1(u1_lattices(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(208,e,193,d)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l1_lattices(k23_filter_2(A,f6(A))) | v1_binop_1(u1_lattices(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(208,e,198,d)].
% 0.92/1.18 209 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v1_partfun1(u1_lattices(k23_filter_2(A,B)),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))),u1_struct_0(k23_filter_2(A,B))). [resolve(131,f,130,b)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v1_partfun1(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(209,e,191,f)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l1_lattices(k23_filter_2(A,f3(A))) | v1_partfun1(u1_lattices(k23_filter_2(A,f3(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(209,e,193,d)].
% 0.92/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l1_lattices(k23_filter_2(A,f6(A))) | v1_partfun1(u1_lattices(k23_filter_2(A,f6(A))),k2_zfmisc_1(u1_struct_0(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(209,e,198,d)].
% 0.92/1.18 210 v3_struct_0(k23_filter_2(A,B)) | -v8_lattices(k23_filter_2(A,B)) | -v9_lattices(k23_filter_2(A,B)) | -l3_lattices(k23_filter_2(A,B)) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,B))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,B))) | -r3_lattices(k23_filter_2(A,B),C,D) | r1_lattices(k23_filter_2(A,B),C,D) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(138,b,131,f)].
% 0.92/1.18 Derived: v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -v8_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v9_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | -m1_subset_1(E,u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | -r3_lattices(k23_filter_2(A,k22_filter_2(A,B,C)),D,E) | r1_lattices(k23_filter_2(A,k22_filter_2(A,B,C)),D,E) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(210,m,191,f)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f3(A))) | -v8_lattices(k23_filter_2(A,f3(A))) | -v9_lattices(k23_filter_2(A,f3(A))) | -l3_lattices(k23_filter_2(A,f3(A))) | -m1_subset_1(B,u1_struct_0(k23_filter_2(A,f3(A)))) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,f3(A)))) | -r3_lattices(k23_filter_2(A,f3(A)),B,C) | r1_lattices(k23_filter_2(A,f3(A)),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(210,m,193,d)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f6(A))) | -v8_lattices(k23_filter_2(A,f6(A))) | -v9_lattices(k23_filter_2(A,f6(A))) | -l3_lattices(k23_filter_2(A,f6(A))) | -m1_subset_1(B,u1_struct_0(k23_filter_2(A,f6(A)))) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,f6(A)))) | -r3_lattices(k23_filter_2(A,f6(A)),B,C) | r1_lattices(k23_filter_2(A,f6(A)),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(210,m,198,d)].
% 0.92/1.19 211 v3_struct_0(k23_filter_2(A,B)) | -v8_lattices(k23_filter_2(A,B)) | -v9_lattices(k23_filter_2(A,B)) | -l3_lattices(k23_filter_2(A,B)) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,B))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,B))) | r3_lattices(k23_filter_2(A,B),C,D) | -r1_lattices(k23_filter_2(A,B),C,D) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(139,b,131,f)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -v8_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v9_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | -m1_subset_1(E,u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | r3_lattices(k23_filter_2(A,k22_filter_2(A,B,C)),D,E) | -r1_lattices(k23_filter_2(A,k22_filter_2(A,B,C)),D,E) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(211,m,191,f)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f3(A))) | -v8_lattices(k23_filter_2(A,f3(A))) | -v9_lattices(k23_filter_2(A,f3(A))) | -l3_lattices(k23_filter_2(A,f3(A))) | -m1_subset_1(B,u1_struct_0(k23_filter_2(A,f3(A)))) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,f3(A)))) | r3_lattices(k23_filter_2(A,f3(A)),B,C) | -r1_lattices(k23_filter_2(A,f3(A)),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(211,m,193,d)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f6(A))) | -v8_lattices(k23_filter_2(A,f6(A))) | -v9_lattices(k23_filter_2(A,f6(A))) | -l3_lattices(k23_filter_2(A,f6(A))) | -m1_subset_1(B,u1_struct_0(k23_filter_2(A,f6(A)))) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,f6(A)))) | r3_lattices(k23_filter_2(A,f6(A)),B,C) | -r1_lattices(k23_filter_2(A,f6(A)),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(211,m,198,d)].
% 0.92/1.19 212 v3_struct_0(k23_filter_2(A,B)) | -v8_lattices(k23_filter_2(A,B)) | -v9_lattices(k23_filter_2(A,B)) | -l3_lattices(k23_filter_2(A,B)) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,B))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,B))) | r3_lattices(k23_filter_2(A,B),C,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(140,b,131,f)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -v8_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v9_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -m1_subset_1(D,u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | -m1_subset_1(E,u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | r3_lattices(k23_filter_2(A,k22_filter_2(A,B,C)),D,D) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(212,l,191,f)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f3(A))) | -v8_lattices(k23_filter_2(A,f3(A))) | -v9_lattices(k23_filter_2(A,f3(A))) | -l3_lattices(k23_filter_2(A,f3(A))) | -m1_subset_1(B,u1_struct_0(k23_filter_2(A,f3(A)))) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,f3(A)))) | r3_lattices(k23_filter_2(A,f3(A)),B,B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(212,l,193,d)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f6(A))) | -v8_lattices(k23_filter_2(A,f6(A))) | -v9_lattices(k23_filter_2(A,f6(A))) | -l3_lattices(k23_filter_2(A,f6(A))) | -m1_subset_1(B,u1_struct_0(k23_filter_2(A,f6(A)))) | -m1_subset_1(C,u1_struct_0(k23_filter_2(A,f6(A)))) | r3_lattices(k23_filter_2(A,f6(A)),B,B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(212,l,198,d)].
% 0.92/1.19 213 v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | v2_binop_1(u1_lattices(k23_filter_2(A,B)),u1_struct_0(k23_filter_2(A,B))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A). [resolve(147,b,144,f)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v2_binop_1(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))),u1_struct_0(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(213,h,191,f)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f3(A))) | -l1_lattices(k23_filter_2(A,f3(A))) | v2_binop_1(u1_lattices(k23_filter_2(A,f3(A))),u1_struct_0(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(213,h,193,d)].
% 0.92/1.19 Derived: v3_struct_0(k23_filter_2(A,f6(A))) | -l1_lattices(k23_filter_2(A,f6(A))) | v2_binop_1(u1_lattices(k23_filter_2(A,f6(A))),u1_struct_0(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(213,h,198,d)].
% 0.92/1.19 214 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l2_lattices(k23_filter_2(A,B)) | -v1_xboole_0(u2_lattices(k23_filter_2(A,B))) | -v1_funct_1(u2_lattices(k23_filter_2(A,B))) | v2_funct_1(u2_lattices(k23_filter_2(A,B))). [resolve(161,h,155,a)].
% 0.92/1.19 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l2_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v1_xboole_0(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | -v1_funct_1(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | v2_funct_1(u2_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(214,e,191,f)].
% 0.92/1.19 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l2_lattices(k23_filter_2(A,f3(A))) | -v1_xboole_0(u2_lattices(k23_filter_2(A,f3(A)))) | -v1_funct_1(u2_lattices(k23_filter_2(A,f3(A)))) | v2_funct_1(u2_lattices(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(214,e,193,d)].
% 0.92/1.19 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l2_lattices(k23_filter_2(A,f6(A))) | -v1_xboole_0(u2_lattices(k23_filter_2(A,f6(A)))) | -v1_funct_1(u2_lattices(k23_filter_2(A,f6(A)))) | v2_funct_1(u2_lattices(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(214,e,198,d)].
% 0.95/1.21 215 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | v3_struct_0(k23_filter_2(A,B)) | -l1_lattices(k23_filter_2(A,B)) | -v1_xboole_0(u1_lattices(k23_filter_2(A,B))) | -v1_funct_1(u1_lattices(k23_filter_2(A,B))) | v2_funct_1(u1_lattices(k23_filter_2(A,B))). [resolve(169,h,155,a)].
% 0.95/1.21 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l1_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v1_xboole_0(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | -v1_funct_1(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | v2_funct_1(u1_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(215,e,191,f)].
% 0.95/1.21 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(k23_filter_2(A,f3(A))) | -l1_lattices(k23_filter_2(A,f3(A))) | -v1_xboole_0(u1_lattices(k23_filter_2(A,f3(A)))) | -v1_funct_1(u1_lattices(k23_filter_2(A,f3(A)))) | v2_funct_1(u1_lattices(k23_filter_2(A,f3(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(215,e,193,d)].
% 0.95/1.21 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(k23_filter_2(A,f6(A))) | -l1_lattices(k23_filter_2(A,f6(A))) | -v1_xboole_0(u1_lattices(k23_filter_2(A,f6(A)))) | -v1_funct_1(u1_lattices(k23_filter_2(A,f6(A)))) | v2_funct_1(u1_lattices(k23_filter_2(A,f6(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(215,e,198,d)].
% 0.95/1.21 216 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(40)].
% 0.95/1.21 217 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(19)].
% 0.95/1.21 218 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(21)].
% 0.95/1.21 219 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(32)].
% 0.95/1.21 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(216,b,217,b)].
% 0.95/1.21 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(216,b,218,b)].
% 0.95/1.21 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(216,b,219,a)].
% 0.95/1.21 220 l1_struct_0(c15) # label(rc3_struct_0) # label(axiom). [clausify(64)].
% 0.95/1.21 Derived: v3_struct_0(c15) | -v1_xboole_0(u1_struct_0(c15)). [resolve(220,a,216,b)].
% 0.95/1.21 221 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(65)].
% 0.95/1.21 Derived: v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(221,b,217,b)].
% 0.95/1.21 Derived: v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(221,b,218,b)].
% 0.95/1.21 Derived: v3_struct_0(c2) | m1_subset_1(f10(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(221,b,219,a)].
% 0.95/1.21 Derived: v3_struct_0(c15) | m1_subset_1(f10(c15),k1_zfmisc_1(u1_struct_0(c15))). [resolve(221,b,220,a)].
% 0.95/1.21 222 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f10(A)) # label(rc5_struct_0) # label(axiom). [clausify(65)].
% 0.95/1.21 Derived: v3_struct_0(A) | -v1_xboole_0(f10(A)) | -l1_lattices(A). [resolve(222,b,217,b)].
% 0.95/1.21 Derived: v3_struct_0(A) | -v1_xboole_0(f10(A)) | -l2_lattices(A). [resolve(222,b,218,b)].
% 0.95/1.21 Derived: v3_struct_0(c2) | -v1_xboole_0(f10(c2)). [resolve(222,b,219,a)].
% 0.95/1.21 Derived: v3_struct_0(c15) | -v1_xboole_0(f10(c15)). [resolve(222,b,220,a)].
% 0.95/1.21 223 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_nat_lat(f4(A),A) # label(existence_m2_nat_lat) # label(axiom). [clausify(38)].
% 0.95/1.21 224 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_nat_lat(B,A) | -v3_struct_0(B) # label(dt_m2_nat_lat) # label(axiom). [clausify(26)].
% 0.95/1.21 225 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_nat_lat(B,A) | v10_lattices(B) # label(dt_m2_nat_lat) # label(axiom). [clausify(26)].
% 0.95/1.22 226 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_nat_lat(B,A) | l3_lattices(B) # label(dt_m2_nat_lat) # label(axiom). [clausify(26)].
% 0.95/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v3_struct_0(f4(A)). [resolve(223,d,224,d)].
% 0.95/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(f4(A)). [resolve(223,d,225,d)].
% 0.95/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | l3_lattices(f4(A)). [resolve(223,d,226,d)].
% 0.95/1.22 227 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_nat_lat(f7(A),A) # label(rc1_nat_lat) # label(axiom). [clausify(56)].
% 0.95/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | l3_lattices(f7(A)). [resolve(227,d,226,d)].
% 0.95/1.22 228 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | m2_nat_lat(k23_filter_2(A,k22_filter_2(A,B,C)),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(190,e,191,f)].
% 0.95/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))). [resolve(228,e,226,d)].
% 0.95/1.22 229 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | m2_nat_lat(k23_filter_2(A,f3(A)),A). [resolve(193,d,190,e)].
% 0.95/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f3(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | l3_lattices(k23_filter_2(A,f3(A))). [resolve(229,h,226,d)].
% 0.95/1.22 230 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | m2_nat_lat(k23_filter_2(A,f6(A)),A). [resolve(198,d,190,e)].
% 0.95/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(f6(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | l3_lattices(k23_filter_2(A,f6(A))). [resolve(230,h,226,d)].
% 0.95/1.22 231 -l1_lattices(A) | m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(28)].
% 0.95/1.22 232 -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(27)].
% 0.95/1.22 Derived: -l1_lattices(A) | m1_subset_1(u1_lattices(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))). [resolve(231,b,232,a)].
% 0.95/1.22 233 -l2_lattices(A) | m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(30)].
% 0.95/1.22 Derived: -l2_lattices(A) | m1_subset_1(u2_lattices(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))). [resolve(233,b,232,a)].
% 0.95/1.22 234 m2_relset_1(f5(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(39)].
% 0.95/1.22 Derived: m1_subset_1(f5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(234,a,232,a)].
% 0.95/1.22 235 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(68)].
% 0.95/1.22 Derived: m1_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l1_lattices(A). [resolve(235,a,231,b)].
% 0.95/1.22 Derived: m1_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l2_lattices(A). [resolve(235,a,233,b)].
% 0.95/1.22 Derived: m1_relset_1(f5(A,B),A,B). [resolve(235,a,234,a)].
% 0.95/1.22 236 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(68)].
% 0.95/1.22 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(236,a,232,a)].
% 1.25/1.52 237 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(74)].
% 1.25/1.52 238 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(70)].
% 1.25/1.52 239 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(74)].
% 1.25/1.52 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(237,b,238,a)].
% 1.25/1.52
% 1.25/1.52 ============================== end predicate elimination =============
% 1.25/1.52
% 1.25/1.52 Auto_denials: (non-Horn, no changes).
% 1.25/1.52
% 1.25/1.52 Term ordering decisions:
% 1.25/1.52 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. c16=1. c17=1. c18=1. c19=1. c20=1. k23_filter_2=1. k2_zfmisc_1=1. f1=1. f5=1. u1_struct_0=1. u1_lattices=1. u2_lattices=1. k1_zfmisc_1=1. f2=1. f3=1. f4=1. f6=1. f7=1. f8=1. f9=1. f10=1. k22_filter_2=1. g3_lattices=1.
% 1.25/1.52
% 1.25/1.52 ============================== end of process initial clauses ========
% 1.25/1.52
% 1.25/1.52 ============================== CLAUSES FOR SEARCH ====================
% 1.25/1.52
% 1.25/1.52 ============================== end of clauses for search =============
% 1.25/1.52
% 1.25/1.52 ============================== SEARCH ================================
% 1.25/1.52
% 1.25/1.52 % Starting search at 0.23 seconds.
% 1.25/1.52
% 1.25/1.52 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 57 (0.00 of 0.31 sec).
% 1.25/1.52
% 1.25/1.52 ============================== PROOF =================================
% 1.25/1.52 % SZS status Theorem
% 1.25/1.52 % SZS output start Refutation
% 1.25/1.52
% 1.25/1.52 % Proof 1 at 0.46 (+ 0.01) seconds.
% 1.25/1.52 % Length of proof is 56.
% 1.25/1.52 % Level of proof is 9.
% 1.25/1.52 % Maximum clause weight is 31.000.
% 1.25/1.52 % Given clauses 1166.
% 1.25/1.52
% 1.25/1.52 10 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v17_lattices(A) -> -v3_struct_0(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.52 11 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.52 12 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v12_lattices(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.52 16 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> -v1_xboole_0(k22_filter_2(A,B,C)) & m2_lattice4(k22_filter_2(A,B,C),A))) # label(dt_k22_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.52 78 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m2_lattice4(B,A) -> (v11_lattices(A) -> v11_lattices(k23_filter_2(A,B))))))) # label(t78_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.52 80 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) & v12_lattices(A) & r3_lattices(A,B,C) -> -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) & v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))))))))) # label(t86_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.25/1.52 82 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) & r3_lattices(A,B,C) -> -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) & v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & v17_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) & l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C)))))))))) # label(t87_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 1.25/1.52 183 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 1.25/1.52 184 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v12_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 1.25/1.52 186 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 1.25/1.52 187 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 1.25/1.52 188 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 1.25/1.52 189 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -v12_lattices(A) | -r3_lattices(A,B,C) | l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) # label(t86_filter_2) # label(axiom). [clausify(80)].
% 1.25/1.52 191 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m2_lattice4(k22_filter_2(A,B,C),A) # label(dt_k22_filter_2) # label(axiom). [clausify(16)].
% 1.25/1.52 199 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m2_lattice4(B,A) | -v11_lattices(A) | v11_lattices(k23_filter_2(A,B)) # label(t78_filter_2) # label(axiom). [clausify(78)].
% 1.25/1.52 245 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v11_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 1.25/1.52 247 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v15_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 1.25/1.52 248 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v16_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 1.25/1.52 249 -l3_lattices(A) | v3_struct_0(A) | -v11_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | v17_lattices(A) # label(cc6_lattices) # label(axiom). [clausify(11)].
% 1.25/1.52 251 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_xboole_0(k22_filter_2(A,B,C)) # label(dt_k22_filter_2) # label(axiom). [clausify(16)].
% 1.25/1.52 333 -v3_struct_0(c18) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 334 v10_lattices(c18) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 335 l3_lattices(c18) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 336 m1_subset_1(c19,u1_struct_0(c18)) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 337 m1_subset_1(c20,u1_struct_0(c18)) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 338 v17_lattices(c18) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 339 r3_lattices(c18,c19,c20) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 340 v3_struct_0(k23_filter_2(c18,k22_filter_2(c18,c19,c20))) | -v10_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))) | -v17_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))) | -l3_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))) # label(t87_filter_2) # label(negated_conjecture). [clausify(82)].
% 1.25/1.52 422 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(183,h,184,e)].
% 1.25/1.52 423 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | -v3_struct_0(k23_filter_2(A,k22_filter_2(A,B,C))) | -v11_lattices(A). [copy(422),merge(j),merge(k),merge(l)].
% 1.25/1.52 426 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(186,h,184,e)].
% 1.25/1.52 427 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v10_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v11_lattices(A). [copy(426),merge(j),merge(k),merge(l)].
% 1.25/1.52 430 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(187,h,184,e)].
% 1.25/1.52 431 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v15_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v11_lattices(A). [copy(430),merge(j),merge(k),merge(l)].
% 1.25/1.52 434 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(188,h,184,e)].
% 1.25/1.52 435 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | v16_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v11_lattices(A). [copy(434),merge(j),merge(k),merge(l)].
% 1.25/1.52 438 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A). [resolve(189,h,184,e)].
% 1.25/1.52 439 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v15_lattices(A) | -v16_lattices(A) | -r3_lattices(A,B,C) | l3_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -v11_lattices(A). [copy(438),merge(j),merge(k),merge(l)].
% 1.25/1.52 472 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | -v11_lattices(A) | v11_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [resolve(199,e,191,f)].
% 1.25/1.52 473 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(k22_filter_2(A,B,C)) | -v11_lattices(A) | v11_lattices(k23_filter_2(A,k22_filter_2(A,B,C))) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)). [copy(472),merge(g),merge(h),merge(i)].
% 1.25/1.52 692 -m1_subset_1(A,u1_struct_0(c18)) | -v1_xboole_0(k22_filter_2(c18,c19,A)). [resolve(336,a,251,d),unit_del(a,333),unit_del(b,334),unit_del(c,335)].
% 1.25/1.52 696 v16_lattices(c18). [resolve(338,a,248,c),unit_del(a,335),unit_del(b,333)].
% 1.25/1.52 697 v15_lattices(c18). [resolve(338,a,247,c),unit_del(a,335),unit_del(b,333)].
% 1.25/1.52 699 v11_lattices(c18). [resolve(338,a,245,c),unit_del(a,335),unit_del(b,333)].
% 1.25/1.52 710 -v3_struct_0(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [resolve(423,h,339,a),unit_del(a,333),unit_del(b,334),unit_del(c,335),unit_del(d,336),unit_del(e,337),unit_del(f,697),unit_del(g,696),unit_del(i,699)].
% 1.25/1.52 711 -v10_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))) | -v17_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))) | -l3_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [back_unit_del(340),unit_del(a,710)].
% 1.25/1.52 712 v10_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [resolve(427,h,339,a),unit_del(a,333),unit_del(b,334),unit_del(c,335),unit_del(d,336),unit_del(e,337),unit_del(f,697),unit_del(g,696),unit_del(i,699)].
% 1.25/1.52 713 -v17_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))) | -l3_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [back_unit_del(711),unit_del(a,712)].
% 1.25/1.52 714 v15_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [resolve(431,h,339,a),unit_del(a,333),unit_del(b,334),unit_del(c,335),unit_del(d,336),unit_del(e,337),unit_del(f,697),unit_del(g,696),unit_del(i,699)].
% 1.25/1.52 715 v16_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [resolve(435,h,339,a),unit_del(a,333),unit_del(b,334),unit_del(c,335),unit_del(d,336),unit_del(e,337),unit_del(f,697),unit_del(g,696),unit_del(i,699)].
% 1.25/1.52 716 l3_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [resolve(439,h,339,a),unit_del(a,333),unit_del(b,334),unit_del(c,335),unit_del(d,336),unit_del(e,337),unit_del(f,697),unit_del(g,696),unit_del(i,699)].
% 1.25/1.52 717 -v17_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [back_unit_del(713),unit_del(b,716)].
% 1.25/1.52 809 v1_xboole_0(k22_filter_2(c18,c19,A)) | v11_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,A))) | -m1_subset_1(A,u1_struct_0(c18)). [resolve(473,g,336,a),unit_del(a,333),unit_del(b,334),unit_del(c,335),unit_del(e,699)].
% 1.25/1.52 1380 -v1_xboole_0(k22_filter_2(c18,c19,c20)). [resolve(692,a,337,a)].
% 1.25/1.52 1624 -v11_lattices(k23_filter_2(c18,k22_filter_2(c18,c19,c20))). [resolve(715,a,249,e),unit_del(a,716),unit_del(b,710),unit_del(d,714),unit_del(e,717)].
% 1.25/1.52 3816 $F. [resolve(809,c,337,a),unit_del(a,1380),unit_del(b,1624)].
% 1.25/1.52
% 1.25/1.52 % SZS output end Refutation
% 1.25/1.52 ============================== end of proof ==========================
% 1.25/1.52
% 1.25/1.52 ============================== STATISTICS ============================
% 1.25/1.52
% 1.25/1.52 Given=1166. Generated=3990. Kept=3464. proofs=1.
% 1.25/1.52 Usable=1160. Sos=2261. Demods=103. Limbo=0, Disabled=525. Hints=0.
% 1.25/1.52 Megabytes=4.98.
% 1.25/1.52 User_CPU=0.46, System_CPU=0.01, Wall_clock=1.
% 1.25/1.52
% 1.25/1.52 ============================== end of statistics =====================
% 1.25/1.52
% 1.25/1.52 ============================== end of search =========================
% 1.25/1.52
% 1.25/1.52 THEOREM PROVED
% 1.25/1.52 % SZS status Theorem
% 1.25/1.52
% 1.25/1.52 Exiting with 1 proof.
% 1.25/1.52
% 1.25/1.52 Process 3749 exit (max_proofs) Wed Jun 29 02:40:31 2022
% 1.25/1.52 Prover9 interrupted
%------------------------------------------------------------------------------