TSTP Solution File: LAT311+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT311+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n016.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 06:27:19 EDT 2022
% Result : Theorem 1.55s 1.85s
% Output : Refutation 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT311+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jun 30 00:03:25 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.72/1.04 ============================== Prover9 ===============================
% 0.72/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.72/1.04 Process 31128 was started by sandbox on n016.cluster.edu,
% 0.72/1.04 Thu Jun 30 00:03:25 2022
% 0.72/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_30975_n016.cluster.edu".
% 0.72/1.04 ============================== end of head ===========================
% 0.72/1.04
% 0.72/1.04 ============================== INPUT =================================
% 0.72/1.04
% 0.72/1.04 % Reading from file /tmp/Prover9_30975_n016.cluster.edu
% 0.72/1.04
% 0.72/1.04 set(prolog_style_variables).
% 0.72/1.04 set(auto2).
% 0.72/1.04 % set(auto2) -> set(auto).
% 0.72/1.04 % set(auto) -> set(auto_inference).
% 0.72/1.04 % set(auto) -> set(auto_setup).
% 0.72/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.72/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.72/1.04 % set(auto) -> set(auto_limits).
% 0.72/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.72/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.72/1.04 % set(auto) -> set(auto_denials).
% 0.72/1.04 % set(auto) -> set(auto_process).
% 0.72/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.72/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.72/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.72/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.72/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.72/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.72/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.72/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.72/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.72/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.72/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.72/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.72/1.04 % set(auto2) -> assign(stats, some).
% 0.72/1.04 % set(auto2) -> clear(echo_input).
% 0.72/1.04 % set(auto2) -> set(quiet).
% 0.72/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.72/1.04 % set(auto2) -> clear(print_given).
% 0.72/1.04 assign(lrs_ticks,-1).
% 0.72/1.04 assign(sos_limit,10000).
% 0.72/1.04 assign(order,kbo).
% 0.72/1.04 set(lex_order_vars).
% 0.72/1.04 clear(print_given).
% 0.72/1.04
% 0.72/1.04 % formulas(sos). % not echoed (101 formulas)
% 0.72/1.04
% 0.72/1.04 ============================== end of input ==========================
% 0.72/1.04
% 0.72/1.04 % From the command line: assign(max_seconds, 300).
% 0.72/1.04
% 0.72/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.72/1.04
% 0.72/1.04 % Formulas that are not ordinary clauses:
% 0.72/1.04 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].
% 0.72/1.04 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 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].
% 0.72/1.04 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].
% 0.72/1.04 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].
% 0.72/1.04 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].
% 0.72/1.04 8 (all A (l3_lattices(A) -> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(d2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 9 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_0(A,B) = a_2_0_filter_0(A,B))))) # label(d3_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 10 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 11 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k8_filter_2(A,B) = B)))) # label(d7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 14 (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].
% 0.72/1.04 15 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 16 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 17 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 18 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 19 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 20 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 21 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_2(k2_filter_2(A,B),A))) # label(dt_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 22 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 23 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_filter_0(k3_filter_0(A,B),A))) # label(dt_k3_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 24 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_filter_2(k3_filter_2(A,B),A))) # label(dt_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 25 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 26 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 27 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> m1_subset_1(k8_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k8_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 28 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 29 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 30 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 31 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.04 32 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 33 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 34 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 35 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 36 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 37 (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].
% 0.72/1.05 38 (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].
% 0.72/1.05 39 (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].
% 0.72/1.05 40 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 41 (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].
% 0.72/1.05 42 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 43 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 44 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 45 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 46 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 47 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 48 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 49 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 50 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 51 (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].
% 0.72/1.05 52 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 53 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 54 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 55 (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].
% 0.72/1.05 56 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 57 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> -v1_xboole_0(k8_filter_2(A,B)))) # label(fc2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 58 (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].
% 0.72/1.05 59 (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].
% 0.72/1.05 60 (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].
% 0.72/1.05 61 (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].
% 0.72/1.05 62 (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].
% 0.72/1.05 63 (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].
% 0.72/1.05 64 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 65 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_0(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D)))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 66 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_2(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C)))))) # label(fraenkel_a_2_0_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 67 (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].
% 0.72/1.05 68 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 69 (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].
% 0.72/1.05 70 (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].
% 0.72/1.05 71 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 72 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 73 (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].
% 0.72/1.05 74 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 75 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 76 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 77 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 78 (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].
% 0.72/1.05 79 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 80 (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].
% 0.72/1.05 81 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 82 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_filter_2(A,B) = k3_filter_0(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 83 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) <-> m1_filter_0(B,A))))) # label(redefinition_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 84 (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].
% 0.72/1.05 85 (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].
% 0.72/1.05 86 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 87 (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].
% 0.72/1.05 88 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 89 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C))))))))) # label(t29_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 90 (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].
% 0.72/1.05 91 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 92 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 93 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) & k3_filter_2(A,B) = k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) & k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C) & k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)))))))) # label(t37_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 94 (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].
% 0.72/1.05 95 (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].
% 0.72/1.05 96 (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].
% 0.72/1.05 97 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 98 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 99 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.72/1.05 100 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C))))))))) # label(t40_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.72/1.05
% 0.72/1.05 ============================== end of process non-clausal formulas ===
% 0.72/1.05
% 0.72/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.72/1.05
% 0.72/1.05 ============================== PREDICATE ELIMINATION =================
% 0.72/1.05 101 -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(14)].
% 0.72/1.05 102 -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)].
% 0.72/1.05 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(101,g,102,b)].
% 0.72/1.05 103 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(17)].
% 0.72/1.05 Derived: -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | g3_lattices(u1_struct_0(k1_lattice2(A)),u2_lattices(k1_lattice2(A)),u1_lattices(k1_lattice2(A))) = k1_lattice2(A). [resolve(103,b,102,b)].
% 0.72/1.05 104 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(54)].
% 0.72/1.05 105 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(60)].
% 0.72/1.05 106 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.72/1.05 107 v3_lattices(c10) # label(rc3_lattices) # label(axiom). [clausify(76)].
% 0.72/1.05 Derived: -l3_lattices(c10) | g3_lattices(u1_struct_0(c10),u2_lattices(c10),u1_lattices(c10)) = c10. [resolve(107,a,102,b)].
% 0.72/1.05 108 v3_lattices(c12) # label(rc6_lattices) # label(axiom). [clausify(79)].
% 0.72/1.05 Derived: -l3_lattices(c12) | g3_lattices(u1_struct_0(c12),u2_lattices(c12),u1_lattices(c12)) = c12. [resolve(108,a,102,b)].
% 0.72/1.05 109 v3_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(80)].
% 0.72/1.05 Derived: -l3_lattices(c13) | g3_lattices(u1_struct_0(c13),u2_lattices(c13),u1_lattices(c13)) = c13. [resolve(109,a,102,b)].
% 0.72/1.06 110 -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)].
% 0.72/1.06 111 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.72/1.06 112 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.72/1.06 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(112,b,111,d)].
% 0.72/1.06 113 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.72/1.06 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(113,b,111,d)].
% 0.72/1.06 114 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(58)].
% 0.72/1.06 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(114,b,111,d)].
% 0.72/1.06 115 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(58)].
% 0.72/1.06 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(115,b,111,d)].
% 0.72/1.06 116 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(58)].
% 0.72/1.06 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(116,b,111,d)].
% 0.72/1.06 117 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(117,d,112,b)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))). [resolve(117,d,113,b)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_2(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(117,d,114,b)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(117,d,115,b)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_partfun1(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(117,d,116,b)].
% 0.72/1.06 118 v4_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(80)].
% 0.72/1.06 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(118,a,112,b)].
% 0.72/1.06 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_funct_1(u2_lattices(c13)). [resolve(118,a,113,b)].
% 0.72/1.06 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_funct_2(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(118,a,114,b)].
% 0.72/1.06 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(118,a,115,b)].
% 0.72/1.06 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_partfun1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(118,a,116,b)].
% 0.72/1.06 119 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.72/1.06 120 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.72/1.06 121 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.72/1.06 122 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(59)].
% 0.72/1.06 123 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(59)].
% 0.72/1.06 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(123,b,120,d)].
% 0.72/1.06 124 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(59)].
% 0.72/1.06 125 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v2_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(125,d,123,b)].
% 0.72/1.06 126 v5_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(80)].
% 0.72/1.06 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v2_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(126,a,123,b)].
% 0.72/1.06 127 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.72/1.06 128 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.72/1.06 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(127,b,128,d)].
% 0.72/1.06 129 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.72/1.06 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(129,b,128,d)].
% 0.72/1.06 130 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(61)].
% 0.72/1.06 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(130,b,128,d)].
% 0.72/1.06 131 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(61)].
% 0.72/1.06 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(131,b,128,d)].
% 0.72/1.06 132 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(61)].
% 0.72/1.06 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(132,b,128,d)].
% 0.72/1.06 133 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))). [resolve(133,d,127,b)].
% 0.72/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_1(u1_lattices(k1_lattice2(A))). [resolve(133,d,129,b)].
% 0.72/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_2(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(133,d,130,b)].
% 0.72/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(133,d,131,b)].
% 0.72/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_partfun1(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(133,d,132,b)].
% 0.72/1.07 134 v6_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(80)].
% 0.72/1.07 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_relat_1(u1_lattices(c13)). [resolve(134,a,127,b)].
% 0.72/1.07 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_funct_1(u1_lattices(c13)). [resolve(134,a,129,b)].
% 0.72/1.07 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_funct_2(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(134,a,130,b)].
% 0.72/1.07 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_binop_1(u1_lattices(c13),u1_struct_0(c13)). [resolve(134,a,131,b)].
% 0.72/1.07 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_partfun1(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(134,a,132,b)].
% 0.72/1.07 135 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(85)].
% 0.72/1.07 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(135,b,128,d)].
% 0.72/1.07 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | -r3_lattices(k1_lattice2(A),B,C) | r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(135,b,133,d)].
% 0.72/1.07 Derived: v3_struct_0(c13) | -v8_lattices(c13) | -v9_lattices(c13) | -l3_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | -r3_lattices(c13,A,B) | r1_lattices(c13,A,B). [resolve(135,b,134,a)].
% 0.72/1.07 136 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(85)].
% 0.72/1.07 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(136,b,128,d)].
% 0.72/1.07 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,C) | -r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(136,b,133,d)].
% 0.72/1.07 Derived: v3_struct_0(c13) | -v8_lattices(c13) | -v9_lattices(c13) | -l3_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | r3_lattices(c13,A,B) | -r1_lattices(c13,A,B). [resolve(136,b,134,a)].
% 0.72/1.07 137 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(87)].
% 0.72/1.08 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(137,b,128,d)].
% 0.72/1.08 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(137,b,133,d)].
% 0.72/1.08 Derived: v3_struct_0(c13) | -v8_lattices(c13) | -v9_lattices(c13) | -l3_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | r3_lattices(c13,A,A). [resolve(137,b,134,a)].
% 0.72/1.08 138 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.72/1.08 139 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.72/1.08 140 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.72/1.08 141 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(63)].
% 0.72/1.08 142 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(63)].
% 0.72/1.08 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(142,b,139,d)].
% 0.72/1.08 143 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(63)].
% 0.72/1.08 144 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.72/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v2_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(144,d,142,b)].
% 0.72/1.08 145 v7_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(80)].
% 0.72/1.08 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v2_binop_1(u1_lattices(c13),u1_struct_0(c13)). [resolve(145,a,142,b)].
% 0.72/1.08 146 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.72/1.08 147 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.72/1.08 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(146,a,147,b)].
% 0.72/1.08 148 v1_relat_1(c5) # label(rc1_funct_1) # label(axiom). [clausify(68)].
% 0.72/1.08 Derived: -v1_xboole_0(c5) | -v1_funct_1(c5) | v2_funct_1(c5). [resolve(148,a,146,a)].
% 0.72/1.08 149 v1_relat_1(c7) # label(rc2_funct_1) # label(axiom). [clausify(72)].
% 0.72/1.08 Derived: -v1_xboole_0(c7) | -v1_funct_1(c7) | v2_funct_1(c7). [resolve(149,a,146,a)].
% 0.72/1.08 150 v1_relat_1(c9) # label(rc3_funct_1) # label(axiom). [clausify(75)].
% 0.72/1.08 151 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(112,b,111,d)].
% 0.72/1.08 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(151,c,146,a)].
% 0.72/1.08 152 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(117,d,112,b)].
% 0.72/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -v1_xboole_0(u2_lattices(k1_lattice2(A))) | -v1_funct_1(u2_lattices(k1_lattice2(A))) | v2_funct_1(u2_lattices(k1_lattice2(A))). [resolve(152,f,146,a)].
% 0.72/1.08 153 v3_struct_0(c13) | -l2_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(118,a,112,b)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -l2_lattices(c13) | -v1_xboole_0(u2_lattices(c13)) | -v1_funct_1(u2_lattices(c13)) | v2_funct_1(u2_lattices(c13)). [resolve(153,c,146,a)].
% 0.82/1.09 154 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(127,b,128,d)].
% 0.82/1.09 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(154,c,146,a)].
% 0.82/1.09 155 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))). [resolve(133,d,127,b)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -v1_xboole_0(u1_lattices(k1_lattice2(A))) | -v1_funct_1(u1_lattices(k1_lattice2(A))) | v2_funct_1(u1_lattices(k1_lattice2(A))). [resolve(155,f,146,a)].
% 0.82/1.09 156 v3_struct_0(c13) | -l1_lattices(c13) | v1_relat_1(u1_lattices(c13)). [resolve(134,a,127,b)].
% 0.82/1.09 Derived: v3_struct_0(c13) | -l1_lattices(c13) | -v1_xboole_0(u1_lattices(c13)) | -v1_funct_1(u1_lattices(c13)) | v2_funct_1(u1_lattices(c13)). [resolve(156,c,146,a)].
% 0.82/1.09 157 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m2_filter_2) # label(axiom). [clausify(36)].
% 0.82/1.09 158 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m2_filter_2(k18_filter_2(A,B),A) # label(dt_k18_filter_2) # label(axiom). [clausify(15)].
% 0.82/1.09 159 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_filter_2(k19_filter_2(A,B),A) # label(dt_k19_filter_2) # label(axiom). [clausify(16)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k18_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(157,d,158,e)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k19_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(157,d,159,f)].
% 0.82/1.09 160 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m2_filter_2) # label(axiom). [clausify(36)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k18_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(160,d,158,e)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k19_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(160,d,159,f)].
% 0.82/1.09 161 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(f5(A),A) # label(existence_m2_filter_2) # label(axiom). [clausify(50)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f5(A)). [resolve(161,d,157,d)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f5(A),A). [resolve(161,d,160,d)].
% 0.82/1.09 162 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_0) # label(axiom). [clausify(32)].
% 0.82/1.09 163 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_0(k2_filter_0(A,B),A) # label(dt_k2_filter_0) # label(axiom). [clausify(20)].
% 0.82/1.09 164 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_filter_0(k3_filter_0(A,B),A) # label(dt_k3_filter_0) # label(axiom). [clausify(23)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_0(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(162,d,163,e)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k3_filter_0(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(162,d,164,f)].
% 0.82/1.09 165 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m1_filter_0) # label(axiom). [clausify(32)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_0(A,B),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)). [resolve(165,d,163,e)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k3_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(165,d,164,f)].
% 0.82/1.09 166 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f1(A),A) # label(existence_m1_filter_0) # label(axiom). [clausify(46)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f1(A)). [resolve(166,d,162,d)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f1(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(166,d,165,d)].
% 0.82/1.09 167 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | m1_filter_0(B,A) # label(redefinition_m1_filter_2) # label(axiom). [clausify(83)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(B). [resolve(167,e,162,d)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(167,e,165,d)].
% 0.82/1.09 168 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(B,A) | -m1_filter_0(B,A) # label(redefinition_m1_filter_2) # label(axiom). [clausify(83)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k2_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(168,e,163,e)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k3_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(168,e,164,f)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f1(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(168,e,166,d)].
% 0.82/1.09 169 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_2) # label(axiom). [clausify(33)].
% 0.82/1.09 170 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_2(k2_filter_2(A,B),A) # label(dt_k2_filter_2) # label(axiom). [clausify(21)].
% 0.82/1.09 171 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_filter_2(k3_filter_2(A,B),A) # label(dt_k3_filter_2) # label(axiom). [clausify(24)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(169,d,170,e)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k3_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(169,d,171,f)].
% 0.82/1.09 172 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m1_filter_2) # label(axiom). [clausify(33)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(172,d,170,e)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(172,d,171,f)].
% 0.96/1.27 173 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f2(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(47)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f2(A)). [resolve(173,d,169,d)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f2(A),A). [resolve(173,d,172,d)].
% 0.96/1.27 174 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(B). [resolve(167,e,162,d)].
% 0.96/1.27 175 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(167,e,165,d)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_2(A,B),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)). [resolve(175,d,170,e)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k3_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(175,d,171,f)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(175,d,173,d)].
% 0.96/1.27 176 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k2_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(168,e,163,e)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_0(A,B)). [resolve(176,d,169,d)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_0(A,B),A). [resolve(176,d,172,d)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(176,d,175,d)].
% 0.96/1.27 177 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k3_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(168,e,164,f)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k3_filter_0(A,B)). [resolve(177,d,169,d)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_0(A,B),A). [resolve(177,d,172,d)].
% 0.96/1.27 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k3_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(177,d,175,d)].
% 1.20/1.47 178 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f1(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(168,e,166,d)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f1(A)). [resolve(178,d,169,d)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f1(A),A). [resolve(178,d,172,d)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f1(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(178,d,175,d)].
% 1.20/1.47 179 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(55)].
% 1.20/1.47 180 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(28)].
% 1.20/1.47 181 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(30)].
% 1.20/1.47 182 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(43)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(179,b,180,b)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(179,b,181,b)].
% 1.20/1.47 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(179,b,182,a)].
% 1.20/1.47 183 l1_struct_0(c11) # label(rc3_struct_0) # label(axiom). [clausify(77)].
% 1.20/1.47 Derived: v3_struct_0(c11) | -v1_xboole_0(u1_struct_0(c11)). [resolve(183,a,179,b)].
% 1.20/1.47 184 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(78)].
% 1.20/1.47 Derived: v3_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(184,b,180,b)].
% 1.20/1.47 Derived: v3_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(184,b,181,b)].
% 1.20/1.47 Derived: v3_struct_0(c2) | m1_subset_1(f13(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(184,b,182,a)].
% 1.20/1.47 Derived: v3_struct_0(c11) | m1_subset_1(f13(c11),k1_zfmisc_1(u1_struct_0(c11))). [resolve(184,b,183,a)].
% 1.20/1.47 185 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f13(A)) # label(rc5_struct_0) # label(axiom). [clausify(78)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v1_xboole_0(f13(A)) | -l1_lattices(A). [resolve(185,b,180,b)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v1_xboole_0(f13(A)) | -l2_lattices(A). [resolve(185,b,181,b)].
% 1.20/1.47 Derived: v3_struct_0(c2) | -v1_xboole_0(f13(c2)). [resolve(185,b,182,a)].
% 1.20/1.47 Derived: v3_struct_0(c11) | -v1_xboole_0(f13(c11)). [resolve(185,b,183,a)].
% 1.20/1.47 186 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(51)].
% 1.20/1.47 187 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(37)].
% 1.20/1.47 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(186,d,187,d)].
% 1.20/1.47 188 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f10(A),A) # label(rc1_lattice4) # label(axiom). [clausify(69)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(188,d,187,d)].
% 1.20/1.47 189 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k18_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(160,d,158,e)].
% 1.20/1.47 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k18_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(189,d,187,d)].
% 1.35/1.63 190 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k19_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(160,d,159,f)].
% 1.35/1.63 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k19_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(190,d,187,d)].
% 1.35/1.63 191 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f5(A),A). [resolve(161,d,160,d)].
% 1.35/1.63 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f5(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(191,g,187,d)].
% 1.35/1.63 192 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(172,d,170,e)].
% 1.35/1.63 193 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(172,d,171,f)].
% 1.35/1.63 194 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f2(A),A). [resolve(173,d,172,d)].
% 1.35/1.63 195 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_0(A,B),A). [resolve(176,d,172,d)].
% 1.35/1.63 196 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_0(A,B),A). [resolve(177,d,172,d)].
% 1.35/1.63 197 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f1(A),A). [resolve(178,d,172,d)].
% 1.35/1.63 198 -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(39)].
% 1.35/1.63 199 -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(38)].
% 1.35/1.63 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(198,b,199,a)].
% 1.35/1.63 200 -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(41)].
% 1.35/1.63 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(200,b,199,a)].
% 1.35/1.63 201 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(52)].
% 1.35/1.63 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(201,a,199,a)].
% 1.35/1.63 202 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(84)].
% 1.35/1.63 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(202,a,198,b)].
% 1.35/1.63 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(202,a,200,b)].
% 1.35/1.63 Derived: m1_relset_1(f7(A,B),A,B). [resolve(202,a,201,a)].
% 1.35/1.63 203 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(84)].
% 1.35/1.63 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(203,a,199,a)].
% 1.35/1.63
% 1.35/1.63 ============================== end predicate elimination =============
% 1.55/1.85
% 1.55/1.85 Auto_denials: (non-Horn, no changes).
% 1.55/1.85
% 1.55/1.85 Term ordering decisions:
% 1.55/1.85 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. k2_zfmisc_1=1. k2_filter_0=1. k3_filter_2=1. k19_filter_2=1. k3_filter_0=1. a_2_0_filter_0=1. a_2_0_filter_2=1. k18_filter_2=1. k2_filter_2=1. k7_filter_2=1. k8_filter_2=1. k5_filter_2=1. f3=1. f7=1. f14=1. u1_struct_0=1. k1_lattice2=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. f1=1. f2=1. f4=1. f5=1. f6=1. f10=1. f11=1. f12=1. f13=1. g3_lattices=1. f8=1. f9=1.
% 1.55/1.85
% 1.55/1.85 ============================== end of process initial clauses ========
% 1.55/1.85
% 1.55/1.85 ============================== CLAUSES FOR SEARCH ====================
% 1.55/1.85
% 1.55/1.85 ============================== end of clauses for search =============
% 1.55/1.85
% 1.55/1.85 ============================== SEARCH ================================
% 1.55/1.85
% 1.55/1.85 % Starting search at 0.61 seconds.
% 1.55/1.85
% 1.55/1.85 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 31 (0.00 of 0.69 sec).
% 1.55/1.85
% 1.55/1.85 ============================== PROOF =================================
% 1.55/1.85 % SZS status Theorem
% 1.55/1.85 % SZS output start Refutation
% 1.55/1.85
% 1.55/1.85 % Proof 1 at 0.82 (+ 0.01) seconds.
% 1.55/1.85 % Length of proof is 56.
% 1.55/1.85 % Level of proof is 6.
% 1.55/1.85 % Maximum clause weight is 31.000.
% 1.55/1.85 % Given clauses 835.
% 1.55/1.85
% 1.55/1.85 10 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 11 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 17 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 25 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 26 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 54 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 64 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 81 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 82 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_filter_2(A,B) = k3_filter_0(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 89 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C))))))))) # label(t29_filter_0) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 92 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 93 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) & k3_filter_2(A,B) = k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) & k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C) & k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)))))))) # label(t37_filter_2) # label(axiom) # label(non_clause). [assumption].
% 1.55/1.85 100 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (r2_hidden(B,C) -> r1_tarski(k18_filter_2(A,B),k19_filter_2(A,C))))))))) # label(t40_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 1.55/1.85 211 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k5_filter_2(A,B) = B # label(d4_filter_2) # label(axiom). [clausify(10)].
% 1.55/1.85 212 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k7_filter_2(A,B) = B # label(d6_filter_2) # label(axiom). [clausify(11)].
% 1.55/1.85 214 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | a_2_0_filter_2(A,B) = k18_filter_2(A,B) # label(d9_filter_2) # label(axiom). [clausify(13)].
% 1.55/1.85 215 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k18_filter_2(A,B) = a_2_0_filter_2(A,B). [copy(214),flip(e)].
% 1.55/1.85 217 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(17)].
% 1.55/1.85 218 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) # label(dt_k5_filter_2) # label(axiom). [clausify(25)].
% 1.55/1.85 219 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) # label(dt_k7_filter_2) # label(axiom). [clausify(26)].
% 1.55/1.85 233 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(54)].
% 1.55/1.85 241 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 1.55/1.85 273 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k2_filter_2(A,B) = k2_filter_0(A,B) # label(redefinition_k2_filter_2) # label(axiom). [clausify(81)].
% 1.55/1.85 274 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k3_filter_2(A,B) = k3_filter_0(A,B) # label(redefinition_k3_filter_2) # label(axiom). [clausify(82)].
% 1.55/1.85 275 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k3_filter_0(A,B) = k3_filter_2(A,B). [copy(274),flip(f)].
% 1.55/1.85 278 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r2_hidden(B,C) | r1_tarski(k2_filter_0(A,B),k3_filter_0(A,C)) # label(t29_filter_0) # label(axiom). [clausify(89)].
% 1.55/1.85 282 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k18_filter_2(A,B) # label(t30_filter_2) # label(axiom). [clausify(92)].
% 1.55/1.85 285 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) | k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) # label(t37_filter_2) # label(axiom). [clausify(93)].
% 1.55/1.85 298 -v3_struct_0(c14) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 299 v10_lattices(c14) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 300 l3_lattices(c14) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 301 m1_subset_1(c15,u1_struct_0(c14)) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 302 -v1_xboole_0(c16) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 303 m1_subset_1(c16,k1_zfmisc_1(u1_struct_0(c14))) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 304 r2_hidden(c15,c16) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 305 -r1_tarski(k18_filter_2(c14,c15),k19_filter_2(c14,c16)) # label(t40_filter_2) # label(negated_conjecture). [clausify(100)].
% 1.55/1.85 414 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) | k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B). [factor(285,d,f)].
% 1.55/1.85 579 v10_lattices(k1_lattice2(c14)). [resolve(299,a,241,b),unit_del(a,298),unit_del(b,300)].
% 1.55/1.85 584 -v3_struct_0(k1_lattice2(c14)). [resolve(300,a,233,b),unit_del(a,298)].
% 1.55/1.85 587 l3_lattices(k1_lattice2(c14)). [resolve(300,a,217,a)].
% 1.55/1.85 590 k2_filter_2(k1_lattice2(c14),k5_filter_2(c14,c15)) = k18_filter_2(c14,c15). [resolve(301,a,282,d),unit_del(a,298),unit_del(b,299),unit_del(c,300)].
% 1.55/1.85 593 m1_subset_1(k5_filter_2(c14,c15),u1_struct_0(k1_lattice2(c14))). [resolve(301,a,218,d),unit_del(a,298),unit_del(b,299),unit_del(c,300)].
% 1.55/1.85 594 k18_filter_2(c14,c15) = a_2_0_filter_2(c14,c15). [resolve(301,a,215,d),unit_del(a,298),unit_del(b,299),unit_del(c,300)].
% 1.55/1.85 595 k5_filter_2(c14,c15) = c15. [resolve(301,a,211,d),unit_del(a,298),unit_del(b,299),unit_del(c,300)].
% 1.55/1.85 598 k2_filter_2(k1_lattice2(c14),c15) = a_2_0_filter_2(c14,c15). [back_rewrite(590),rewrite([595(5),594(7)])].
% 1.55/1.85 599 -r1_tarski(a_2_0_filter_2(c14,c15),k19_filter_2(c14,c16)). [back_rewrite(305),rewrite([594(3)])].
% 1.55/1.85 600 m1_subset_1(c15,u1_struct_0(k1_lattice2(c14))). [back_rewrite(593),rewrite([595(3)])].
% 1.55/1.85 609 m1_subset_1(k7_filter_2(c14,c16),k1_zfmisc_1(u1_struct_0(k1_lattice2(c14)))). [resolve(303,a,219,d),unit_del(a,298),unit_del(b,299),unit_del(c,300)].
% 1.55/1.85 610 k7_filter_2(c14,c16) = c16. [resolve(303,a,212,d),unit_del(a,298),unit_del(b,299),unit_del(c,300)].
% 1.55/1.85 611 m1_subset_1(c16,k1_zfmisc_1(u1_struct_0(k1_lattice2(c14)))). [back_rewrite(609),rewrite([610(3)])].
% 1.55/1.85 616 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(c15,u1_struct_0(A)) | -m1_subset_1(c16,k1_zfmisc_1(u1_struct_0(A))) | r1_tarski(k2_filter_0(A,c15),k3_filter_0(A,c16)). [resolve(304,a,278,g),unit_del(e,302)].
% 1.55/1.85 1104 k2_filter_0(k1_lattice2(c14),c15) = a_2_0_filter_2(c14,c15). [resolve(600,a,273,d),rewrite([598(13)]),flip(d),unit_del(a,584),unit_del(b,579),unit_del(c,587)].
% 1.55/1.85 1273 k3_filter_2(k1_lattice2(c14),c16) = k19_filter_2(c14,c16). [resolve(611,a,414,f),rewrite([610(18)]),unit_del(a,298),unit_del(b,299),unit_del(c,300),unit_del(d,302),unit_del(e,303)].
% 1.55/1.85 1286 k3_filter_0(k1_lattice2(c14),c16) = k19_filter_2(c14,c16). [resolve(611,a,275,e),rewrite([1273(19)]),unit_del(a,584),unit_del(b,579),unit_del(c,587),unit_del(d,302)].
% 1.55/1.85 3644 $F. [resolve(616,e,611,a),rewrite([1104(18),1286(21)]),unit_del(a,584),unit_del(b,579),unit_del(c,587),unit_del(d,600),unit_del(e,599)].
% 1.55/1.85
% 1.55/1.85 % SZS output end Refutation
% 1.55/1.85 ============================== end of proof ==========================
% 1.55/1.85
% 1.55/1.85 ============================== STATISTICS ============================
% 1.55/1.85
% 1.55/1.85 Given=835. Generated=5076. Kept=3388. proofs=1.
% 1.55/1.85 Usable=826. Sos=1865. Demods=331. Limbo=1, Disabled=995. Hints=0.
% 1.55/1.85 Megabytes=4.84.
% 1.55/1.85 User_CPU=0.82, System_CPU=0.01, Wall_clock=1.
% 1.55/1.85
% 1.55/1.85 ============================== end of statistics =====================
% 1.55/1.85
% 1.55/1.85 ============================== end of search =========================
% 1.55/1.85
% 1.55/1.85 THEOREM PROVED
% 1.55/1.85 % SZS status Theorem
% 1.55/1.85
% 1.55/1.85 Exiting with 1 proof.
% 1.55/1.85
% 1.55/1.85 Process 31128 exit (max_proofs) Thu Jun 30 00:03:26 2022
% 1.55/1.85 Prover9 interrupted
%------------------------------------------------------------------------------