TSTP Solution File: LAT322+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT322+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.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 06:27:31 EDT 2022
% Result : Theorem 33.98s 34.31s
% Output : Refutation 33.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : LAT322+1 : TPTP v8.1.0. Released v3.4.0.
% 0.08/0.15 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.37 % Computer : n007.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Tue Jun 28 20:54:22 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.88/1.14 ============================== Prover9 ===============================
% 0.88/1.14 Prover9 (32) version 2009-11A, November 2009.
% 0.88/1.14 Process 19404 was started by sandbox on n007.cluster.edu,
% 0.88/1.14 Tue Jun 28 20:54:23 2022
% 0.88/1.14 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_19251_n007.cluster.edu".
% 0.88/1.14 ============================== end of head ===========================
% 0.88/1.14
% 0.88/1.14 ============================== INPUT =================================
% 0.88/1.14
% 0.88/1.14 % Reading from file /tmp/Prover9_19251_n007.cluster.edu
% 0.88/1.14
% 0.88/1.14 set(prolog_style_variables).
% 0.88/1.14 set(auto2).
% 0.88/1.14 % set(auto2) -> set(auto).
% 0.88/1.14 % set(auto) -> set(auto_inference).
% 0.88/1.14 % set(auto) -> set(auto_setup).
% 0.88/1.14 % set(auto_setup) -> set(predicate_elim).
% 0.88/1.14 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.88/1.14 % set(auto) -> set(auto_limits).
% 0.88/1.14 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.88/1.14 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.88/1.14 % set(auto) -> set(auto_denials).
% 0.88/1.14 % set(auto) -> set(auto_process).
% 0.88/1.14 % set(auto2) -> assign(new_constants, 1).
% 0.88/1.14 % set(auto2) -> assign(fold_denial_max, 3).
% 0.88/1.14 % set(auto2) -> assign(max_weight, "200.000").
% 0.88/1.14 % set(auto2) -> assign(max_hours, 1).
% 0.88/1.14 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.88/1.14 % set(auto2) -> assign(max_seconds, 0).
% 0.88/1.14 % set(auto2) -> assign(max_minutes, 5).
% 0.88/1.14 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.88/1.14 % set(auto2) -> set(sort_initial_sos).
% 0.88/1.14 % set(auto2) -> assign(sos_limit, -1).
% 0.88/1.14 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.88/1.14 % set(auto2) -> assign(max_megs, 400).
% 0.88/1.14 % set(auto2) -> assign(stats, some).
% 0.88/1.14 % set(auto2) -> clear(echo_input).
% 0.88/1.14 % set(auto2) -> set(quiet).
% 0.88/1.14 % set(auto2) -> clear(print_initial_clauses).
% 0.88/1.14 % set(auto2) -> clear(print_given).
% 0.88/1.14 assign(lrs_ticks,-1).
% 0.88/1.14 assign(sos_limit,10000).
% 0.88/1.14 assign(order,kbo).
% 0.88/1.14 set(lex_order_vars).
% 0.88/1.14 clear(print_given).
% 0.88/1.14
% 0.88/1.14 % formulas(sos). % not echoed (99 formulas)
% 0.88/1.14
% 0.88/1.14 ============================== end of input ==========================
% 0.88/1.14
% 0.88/1.14 % From the command line: assign(max_seconds, 300).
% 0.88/1.14
% 0.88/1.14 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.88/1.14
% 0.88/1.14 % Formulas that are not ordinary clauses:
% 0.88/1.14 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].
% 0.88/1.14 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 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].
% 0.88/1.14 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k1_filter_0(A) = u1_struct_0(A))) # label(d2_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 14 (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].
% 0.88/1.14 15 (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].
% 0.88/1.14 16 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k17_filter_2(A) = u1_struct_0(A))) # label(d8_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 17 (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].
% 0.88/1.14 18 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))) # label(dt_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 19 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m2_filter_2(k17_filter_2(A),A))) # label(dt_k17_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 20 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m1_filter_0(k1_filter_0(A),A))) # label(dt_k1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 21 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m1_filter_2(k1_filter_2(A),A))) # label(dt_k1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 22 (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].
% 0.88/1.14 23 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 24 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 25 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 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].
% 0.88/1.14 27 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 28 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 29 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 30 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 31 (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].
% 0.88/1.14 32 (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].
% 0.88/1.14 33 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 34 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.14 35 (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].
% 0.88/1.15 36 (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].
% 0.88/1.15 37 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 38 (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].
% 0.88/1.15 39 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 40 (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].
% 0.88/1.15 41 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 42 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 43 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 44 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 45 (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].
% 0.88/1.15 46 (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].
% 0.88/1.15 47 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 48 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 49 (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].
% 0.88/1.15 50 (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].
% 0.88/1.15 51 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 52 (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].
% 0.88/1.15 53 (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].
% 0.88/1.15 54 (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].
% 0.88/1.15 55 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 56 (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].
% 0.88/1.15 57 (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].
% 0.88/1.15 58 (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].
% 0.88/1.15 59 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_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)) & v11_lattices(k1_lattice2(A)) & v12_lattices(k1_lattice2(A)) & v13_lattices(k1_lattice2(A)) & v14_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)))) # label(fc4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 60 (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].
% 0.88/1.15 61 (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].
% 0.88/1.15 62 (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].
% 0.88/1.15 63 (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].
% 0.88/1.15 64 (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].
% 0.88/1.15 65 (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].
% 0.88/1.15 66 (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].
% 0.88/1.15 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) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A))) # label(rc12_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 68 (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].
% 0.88/1.15 69 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 70 (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].
% 0.88/1.15 71 (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].
% 0.88/1.15 72 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 73 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 74 (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].
% 0.88/1.15 75 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 76 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 77 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 78 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 79 (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].
% 0.88/1.15 80 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 81 (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].
% 0.88/1.15 82 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> k15_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 83 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k1_filter_2(A) = k1_filter_0(A))) # label(redefinition_k1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 84 (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].
% 0.88/1.15 85 (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].
% 0.88/1.15 86 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 87 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 88 (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].
% 0.88/1.15 89 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t33_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 90 (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].
% 0.88/1.15 91 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (v1_filter_2(B,A) <-> v2_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t44_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 92 (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].
% 0.88/1.15 93 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (B != k1_filter_0(A) & v2_filter_0(B,A) <-> v1_filter_0(B,A)))))) # label(t58_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 94 (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].
% 0.88/1.15 95 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 96 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 97 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.88/1.15 98 -(all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (B != k17_filter_2(A) & v1_filter_2(B,A) <-> r2_filter_2(A,B)))))) # label(t58_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.88/1.15
% 0.88/1.15 ============================== end of process non-clausal formulas ===
% 0.88/1.15
% 0.88/1.15 ============================== PROCESS INITIAL CLAUSES ===============
% 0.88/1.15
% 0.88/1.15 ============================== PREDICATE ELIMINATION =================
% 0.88/1.15 99 -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(17)].
% 0.88/1.15 100 -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)].
% 0.88/1.15 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(99,g,100,b)].
% 0.88/1.15 101 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(22)].
% 0.88/1.15 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(101,b,100,b)].
% 0.88/1.15 102 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(53)].
% 0.88/1.15 103 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(58)].
% 0.88/1.15 104 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 0.88/1.15 105 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(63)].
% 0.88/1.15 106 v3_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(65)].
% 0.88/1.15 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(106,a,100,b)].
% 0.88/1.15 107 v3_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(66)].
% 0.88/1.15 Derived: -l3_lattices(c6) | g3_lattices(u1_struct_0(c6),u2_lattices(c6),u1_lattices(c6)) = c6. [resolve(107,a,100,b)].
% 0.88/1.15 108 v3_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(67)].
% 0.88/1.15 Derived: -l3_lattices(c7) | g3_lattices(u1_struct_0(c7),u2_lattices(c7),u1_lattices(c7)) = c7. [resolve(108,a,100,b)].
% 0.88/1.15 109 v3_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(68)].
% 0.88/1.15 Derived: -l3_lattices(c8) | g3_lattices(u1_struct_0(c8),u2_lattices(c8),u1_lattices(c8)) = c8. [resolve(109,a,100,b)].
% 0.88/1.15 110 v3_lattices(c14) # label(rc3_lattices) # label(axiom). [clausify(77)].
% 0.88/1.15 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(110,a,100,b)].
% 0.88/1.15 111 v3_lattices(c16) # label(rc6_lattices) # label(axiom). [clausify(80)].
% 0.88/1.15 Derived: -l3_lattices(c16) | g3_lattices(u1_struct_0(c16),u2_lattices(c16),u1_lattices(c16)) = c16. [resolve(111,a,100,b)].
% 0.88/1.16 112 v3_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.88/1.16 Derived: -l3_lattices(c17) | g3_lattices(u1_struct_0(c17),u2_lattices(c17),u1_lattices(c17)) = c17. [resolve(112,a,100,b)].
% 0.88/1.16 113 -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)].
% 0.88/1.16 114 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.88/1.16 115 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v4_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.88/1.16 116 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(56)].
% 0.88/1.16 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(116,b,114,d)].
% 0.88/1.16 117 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(56)].
% 0.88/1.16 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(117,b,114,d)].
% 0.88/1.16 118 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(56)].
% 0.88/1.16 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(118,b,114,d)].
% 0.88/1.16 119 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(56)].
% 0.88/1.16 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(119,b,114,d)].
% 0.88/1.16 120 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(56)].
% 0.88/1.16 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(120,b,114,d)].
% 0.88/1.16 121 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 0.88/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_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(121,e,116,b)].
% 0.88/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_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(121,e,117,b)].
% 0.88/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_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(121,e,118,b)].
% 0.88/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_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(121,e,119,b)].
% 0.88/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_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(121,e,120,b)].
% 0.88/1.16 122 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(63)].
% 0.88/1.16 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(122,d,116,b)].
% 0.88/1.16 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(122,d,117,b)].
% 0.88/1.16 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(122,d,118,b)].
% 0.88/1.16 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(122,d,119,b)].
% 0.88/1.16 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(122,d,120,b)].
% 0.88/1.16 123 v4_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(65)].
% 0.88/1.16 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(123,a,116,b)].
% 0.88/1.16 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(123,a,117,b)].
% 0.88/1.16 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(123,a,118,b)].
% 0.88/1.16 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(123,a,119,b)].
% 0.88/1.16 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(123,a,120,b)].
% 0.88/1.16 124 v4_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(66)].
% 0.88/1.16 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(124,a,116,b)].
% 0.88/1.16 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_1(u2_lattices(c6)). [resolve(124,a,117,b)].
% 0.88/1.16 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(124,a,118,b)].
% 0.88/1.16 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(124,a,119,b)].
% 0.88/1.16 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(124,a,120,b)].
% 0.88/1.16 125 v4_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(67)].
% 0.88/1.16 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(125,a,116,b)].
% 0.88/1.16 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_1(u2_lattices(c7)). [resolve(125,a,117,b)].
% 0.88/1.16 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(125,a,118,b)].
% 0.88/1.16 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(125,a,119,b)].
% 0.88/1.16 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(125,a,120,b)].
% 0.88/1.16 126 v4_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(68)].
% 0.88/1.16 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(126,a,116,b)].
% 0.88/1.16 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_1(u2_lattices(c8)). [resolve(126,a,117,b)].
% 0.88/1.16 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(126,a,118,b)].
% 0.88/1.16 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(126,a,119,b)].
% 0.88/1.16 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(126,a,120,b)].
% 0.88/1.16 127 v4_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.88/1.17 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(127,a,116,b)].
% 0.88/1.17 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_1(u2_lattices(c17)). [resolve(127,a,117,b)].
% 0.88/1.17 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(127,a,118,b)].
% 0.88/1.17 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(127,a,119,b)].
% 0.88/1.17 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(127,a,120,b)].
% 0.88/1.17 128 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(57)].
% 0.88/1.17 129 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.88/1.17 130 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v5_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.88/1.17 131 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(57)].
% 0.88/1.17 132 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(57)].
% 0.88/1.17 133 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(57)].
% 0.88/1.17 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(133,b,129,d)].
% 0.88/1.17 134 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(57)].
% 0.88/1.17 135 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 0.88/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_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(135,e,133,b)].
% 0.88/1.17 136 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(63)].
% 0.88/1.17 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(136,d,133,b)].
% 0.88/1.17 137 v5_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(65)].
% 0.88/1.17 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(137,a,133,b)].
% 0.88/1.17 138 v5_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(66)].
% 0.88/1.17 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v2_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(138,a,133,b)].
% 0.88/1.17 139 v5_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(67)].
% 0.88/1.17 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v2_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(139,a,133,b)].
% 0.88/1.17 140 v5_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(68)].
% 0.88/1.17 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v2_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(140,a,133,b)].
% 0.88/1.17 141 v5_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.88/1.17 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v2_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(141,a,133,b)].
% 0.88/1.17 142 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(60)].
% 0.88/1.17 143 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.88/1.17 144 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v6_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.88/1.17 145 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 0.88/1.18 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(142,b,143,d)].
% 0.88/1.18 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(142,b,145,e)].
% 0.88/1.18 146 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(60)].
% 0.88/1.18 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(146,b,143,d)].
% 0.88/1.18 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(146,b,145,e)].
% 0.88/1.18 147 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(60)].
% 0.88/1.18 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(147,b,143,d)].
% 0.88/1.18 Derived: 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))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(147,b,145,e)].
% 0.88/1.18 148 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(60)].
% 0.88/1.18 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(148,b,143,d)].
% 0.88/1.18 Derived: 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))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(148,b,145,e)].
% 0.88/1.18 149 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(60)].
% 0.88/1.18 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(149,b,143,d)].
% 0.88/1.18 Derived: 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))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(149,b,145,e)].
% 0.88/1.18 150 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(63)].
% 0.88/1.18 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(150,d,142,b)].
% 0.88/1.18 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(150,d,146,b)].
% 0.88/1.18 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(150,d,147,b)].
% 0.88/1.18 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(150,d,148,b)].
% 0.88/1.18 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(150,d,149,b)].
% 0.88/1.18 151 v6_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(65)].
% 0.88/1.18 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(151,a,142,b)].
% 0.88/1.18 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(151,a,146,b)].
% 0.88/1.18 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(151,a,147,b)].
% 0.88/1.18 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(151,a,148,b)].
% 0.88/1.18 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(151,a,149,b)].
% 0.88/1.18 152 v6_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(66)].
% 0.88/1.18 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(152,a,142,b)].
% 0.88/1.18 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_1(u1_lattices(c6)). [resolve(152,a,146,b)].
% 0.88/1.18 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(152,a,147,b)].
% 0.88/1.18 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(152,a,148,b)].
% 0.88/1.18 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(152,a,149,b)].
% 0.88/1.18 153 v6_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(67)].
% 0.88/1.18 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(153,a,142,b)].
% 0.88/1.18 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_1(u1_lattices(c7)). [resolve(153,a,146,b)].
% 0.88/1.18 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(153,a,147,b)].
% 0.88/1.18 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(153,a,148,b)].
% 0.88/1.18 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(153,a,149,b)].
% 0.88/1.18 154 v6_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(68)].
% 0.88/1.18 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(154,a,142,b)].
% 0.88/1.18 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_1(u1_lattices(c8)). [resolve(154,a,146,b)].
% 0.88/1.18 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(154,a,147,b)].
% 0.88/1.18 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(154,a,148,b)].
% 0.88/1.18 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(154,a,149,b)].
% 0.88/1.18 155 v6_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.88/1.18 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(155,a,142,b)].
% 0.88/1.18 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_1(u1_lattices(c17)). [resolve(155,a,146,b)].
% 0.88/1.18 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(155,a,147,b)].
% 0.88/1.18 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(155,a,148,b)].
% 0.88/1.18 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(155,a,149,b)].
% 0.88/1.18 156 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(62)].
% 0.88/1.18 157 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.88/1.18 158 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v7_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.88/1.21 159 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 0.88/1.21 160 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(62)].
% 0.88/1.21 161 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(62)].
% 0.88/1.21 162 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(62)].
% 0.88/1.21 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(162,b,157,d)].
% 0.88/1.21 Derived: 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))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(162,b,159,e)].
% 0.88/1.21 163 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(62)].
% 0.88/1.21 164 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(63)].
% 0.88/1.21 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(164,d,162,b)].
% 0.88/1.21 165 v7_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(65)].
% 0.88/1.21 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(165,a,162,b)].
% 0.88/1.21 166 v7_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(66)].
% 0.88/1.21 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v2_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(166,a,162,b)].
% 0.88/1.21 167 v7_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(67)].
% 0.88/1.21 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v2_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(167,a,162,b)].
% 0.88/1.21 168 v7_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(68)].
% 0.88/1.21 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v2_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(168,a,162,b)].
% 0.88/1.21 169 v7_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.88/1.21 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v2_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(169,a,162,b)].
% 0.88/1.21 170 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.88/1.21 171 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.88/1.21 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(170,a,171,b)].
% 0.88/1.21 172 v1_relat_1(c9) # label(rc1_funct_1) # label(axiom). [clausify(69)].
% 0.88/1.21 Derived: -v1_xboole_0(c9) | -v1_funct_1(c9) | v2_funct_1(c9). [resolve(172,a,170,a)].
% 0.88/1.21 173 v1_relat_1(c11) # label(rc2_funct_1) # label(axiom). [clausify(73)].
% 0.88/1.21 Derived: -v1_xboole_0(c11) | -v1_funct_1(c11) | v2_funct_1(c11). [resolve(173,a,170,a)].
% 0.88/1.21 174 v1_relat_1(c13) # label(rc3_funct_1) # label(axiom). [clausify(76)].
% 0.88/1.21 175 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(116,b,114,d)].
% 0.88/1.21 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(175,c,170,a)].
% 0.88/1.21 176 v3_struct_0(A) | -v10_lattices(A) | -v17_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(121,e,116,b)].
% 0.88/1.21 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_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(176,g,170,a)].
% 0.88/1.21 177 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(122,d,116,b)].
% 0.88/1.21 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(177,f,170,a)].
% 0.88/1.21 178 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(123,a,116,b)].
% 0.88/1.21 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(178,c,170,a)].
% 0.88/1.21 179 v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(124,a,116,b)].
% 0.88/1.21 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(179,c,170,a)].
% 0.88/1.21 180 v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(125,a,116,b)].
% 0.88/1.21 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(180,c,170,a)].
% 0.88/1.21 181 v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(126,a,116,b)].
% 0.88/1.21 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(181,c,170,a)].
% 0.88/1.21 182 v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(127,a,116,b)].
% 0.88/1.21 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(182,c,170,a)].
% 0.88/1.21 183 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(142,b,143,d)].
% 0.88/1.21 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(183,c,170,a)].
% 0.88/1.21 184 v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(142,b,145,e)].
% 0.88/1.21 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(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(184,c,170,a)].
% 0.88/1.21 185 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(150,d,142,b)].
% 0.88/1.21 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(185,f,170,a)].
% 0.88/1.21 186 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(151,a,142,b)].
% 0.88/1.21 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(186,c,170,a)].
% 0.88/1.21 187 v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(152,a,142,b)].
% 0.88/1.21 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(187,c,170,a)].
% 0.88/1.21 188 v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(153,a,142,b)].
% 0.88/1.21 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(188,c,170,a)].
% 0.88/1.21 189 v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(154,a,142,b)].
% 0.88/1.23 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(189,c,170,a)].
% 0.88/1.23 190 v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(155,a,142,b)].
% 0.88/1.23 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(190,c,170,a)].
% 0.88/1.23 191 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.88/1.23 192 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.88/1.23 193 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v13_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.88/1.23 194 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v13_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 0.88/1.23 195 v13_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(65)].
% 0.88/1.23 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | v15_lattices(c5). [resolve(195,a,192,c)].
% 0.88/1.23 196 v13_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(66)].
% 0.88/1.23 197 v13_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(67)].
% 0.88/1.23 198 v13_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(68)].
% 0.88/1.23 199 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v15_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.88/1.23 200 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v14_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.88/1.23 Derived: -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | v14_lattices(A). [resolve(199,d,200,c)].
% 0.88/1.23 201 -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)].
% 0.88/1.23 202 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v15_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 0.88/1.23 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | v14_lattices(k1_lattice2(A)). [resolve(202,e,200,c)].
% 0.88/1.23 203 v15_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(66)].
% 0.88/1.23 Derived: -l3_lattices(c6) | v3_struct_0(c6) | v14_lattices(c6). [resolve(203,a,200,c)].
% 0.88/1.23 Derived: -l3_lattices(c6) | v3_struct_0(c6) | -v11_lattices(c6) | -v16_lattices(c6) | v17_lattices(c6). [resolve(203,a,201,d)].
% 0.88/1.23 204 v15_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(67)].
% 0.88/1.23 Derived: -l3_lattices(c7) | v3_struct_0(c7) | v14_lattices(c7). [resolve(204,a,200,c)].
% 0.88/1.23 Derived: -l3_lattices(c7) | v3_struct_0(c7) | -v11_lattices(c7) | -v16_lattices(c7) | v17_lattices(c7). [resolve(204,a,201,d)].
% 0.88/1.23 205 v15_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(68)].
% 0.88/1.23 Derived: -l3_lattices(c8) | v3_struct_0(c8) | v14_lattices(c8). [resolve(205,a,200,c)].
% 0.88/1.23 206 -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | v15_lattices(c5). [resolve(195,a,192,c)].
% 0.88/1.23 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | -l3_lattices(c5) | v3_struct_0(c5) | -v11_lattices(c5) | -v16_lattices(c5) | v17_lattices(c5). [resolve(206,d,201,d)].
% 0.88/1.23 207 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(k17_filter_2(A),A) # label(dt_k17_filter_2) # label(axiom). [clausify(19)].
% 0.88/1.23 208 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) # label(dt_k15_filter_2) # label(axiom). [clausify(18)].
% 0.88/1.23 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)). [resolve(207,d,208,d)].
% 0.88/1.23 209 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(35)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k17_filter_2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(209,d,207,d)].
% 0.88/1.24 210 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(35)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k17_filter_2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(210,d,207,d)].
% 0.88/1.24 211 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(f5(A),A) # label(existence_m2_filter_2) # label(axiom). [clausify(49)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k15_filter_2(A,f5(A)),k1_lattice2(A)). [resolve(211,d,208,d)].
% 0.88/1.24 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(211,d,209,d)].
% 0.88/1.24 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(211,d,210,d)].
% 0.88/1.24 212 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | k15_filter_2(A,B) = k7_filter_2(A,B) # label(redefinition_k15_filter_2) # label(axiom). [clausify(82)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k15_filter_2(A,k17_filter_2(A)) = k7_filter_2(A,k17_filter_2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(212,d,207,d)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k15_filter_2(A,f5(A)) = k7_filter_2(A,f5(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(212,d,211,d)].
% 0.88/1.24 213 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -r2_filter_2(A,B) | v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t33_filter_2) # label(axiom). [clausify(89)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -r2_filter_2(A,k17_filter_2(A)) | v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(213,d,207,d)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -r2_filter_2(A,f5(A)) | v1_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(213,d,211,d)].
% 0.88/1.24 214 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | r2_filter_2(A,B) | -v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t33_filter_2) # label(axiom). [clausify(89)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | r2_filter_2(A,k17_filter_2(A)) | -v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(214,d,207,d)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | r2_filter_2(A,f5(A)) | -v1_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(214,d,211,d)].
% 0.88/1.24 215 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -v1_filter_2(B,A) | v2_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t44_filter_2) # label(axiom). [clausify(91)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_filter_2(k17_filter_2(A),A) | v2_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(215,d,207,d)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_filter_2(f5(A),A) | v2_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(215,d,211,d)].
% 0.88/1.24 216 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | v1_filter_2(B,A) | -v2_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t44_filter_2) # label(axiom). [clausify(91)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_filter_2(k17_filter_2(A),A) | -v2_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(216,d,207,d)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_filter_2(f5(A),A) | -v2_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(216,d,211,d)].
% 0.88/1.24 217 m2_filter_2(c19,c18) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m1_filter_2(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,208,d)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | -v1_xboole_0(c19). [resolve(217,a,209,d)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m2_lattice4(c19,c18). [resolve(217,a,210,d)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | k15_filter_2(c18,c19) = k7_filter_2(c18,c19). [resolve(217,a,212,d)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | -r2_filter_2(c18,c19) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,213,d)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | r2_filter_2(c18,c19) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,214,d)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | -v1_filter_2(c19,c18) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,215,d)].
% 0.88/1.24 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | v1_filter_2(c19,c18) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,216,d)].
% 0.88/1.24 218 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(31)].
% 0.88/1.24 219 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(k1_filter_0(A),A) # label(dt_k1_filter_0) # label(axiom). [clausify(20)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k1_filter_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(218,d,219,d)].
% 0.88/1.24 220 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(31)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k1_filter_0(A),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(220,d,219,d)].
% 0.88/1.24 221 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f1(A),A) # label(existence_m1_filter_0) # label(axiom). [clausify(45)].
% 0.88/1.24 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(221,d,218,d)].
% 0.88/1.24 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(221,d,220,d)].
% 0.88/1.24 222 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(84)].
% 0.88/1.24 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(222,e,218,d)].
% 0.88/1.24 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(222,e,220,d)].
% 0.88/1.24 223 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(84)].
% 0.88/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k1_filter_0(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(223,e,219,d)].
% 0.88/1.24 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(223,e,221,d)].
% 0.88/1.24 224 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | k1_filter_0(A) = B | -v2_filter_0(B,A) | v1_filter_0(B,A) # label(t58_filter_0) # label(axiom). [clausify(93)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = k1_filter_0(A) | -v2_filter_0(k1_filter_0(A),A) | v1_filter_0(k1_filter_0(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(224,e,219,d)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = f1(A) | -v2_filter_0(f1(A),A) | v1_filter_0(f1(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(224,e,221,d)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = B | -v2_filter_0(B,A) | v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(224,e,222,e)].
% 0.88/1.25 225 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | k1_filter_0(A) != B | -v1_filter_0(B,A) # label(t58_filter_0) # label(axiom). [clausify(93)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != k1_filter_0(A) | -v1_filter_0(k1_filter_0(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(225,e,219,d)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != f1(A) | -v1_filter_0(f1(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(225,e,221,d)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != B | -v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(225,e,222,e)].
% 0.88/1.25 226 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | v2_filter_0(B,A) | -v1_filter_0(B,A) # label(t58_filter_0) # label(axiom). [clausify(93)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(k1_filter_0(A),A) | -v1_filter_0(k1_filter_0(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(226,e,219,d)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(f1(A),A) | -v1_filter_0(f1(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(226,e,221,d)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(B,A) | -v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(226,e,222,e)].
% 0.88/1.25 227 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(32)].
% 0.88/1.25 228 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k1_filter_2(A),A) # label(dt_k1_filter_2) # label(axiom). [clausify(21)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k1_filter_2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(227,d,228,d)].
% 0.88/1.25 229 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(32)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k1_filter_2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(229,d,228,d)].
% 0.88/1.25 230 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f2(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(46)].
% 0.88/1.25 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(230,d,227,d)].
% 0.88/1.25 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(230,d,229,d)].
% 0.88/1.25 231 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)). [resolve(207,d,208,d)].
% 0.88/1.25 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -v1_xboole_0(k15_filter_2(A,k17_filter_2(A))). [resolve(231,g,227,d)].
% 0.88/1.26 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m2_lattice4(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)). [resolve(231,g,229,d)].
% 0.88/1.26 232 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k15_filter_2(A,f5(A)),k1_lattice2(A)). [resolve(211,d,208,d)].
% 0.88/1.26 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -v1_xboole_0(k15_filter_2(A,f5(A))). [resolve(232,g,227,d)].
% 0.88/1.26 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m2_lattice4(k15_filter_2(A,f5(A)),k1_lattice2(A)). [resolve(232,g,229,d)].
% 0.88/1.26 233 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m1_filter_2(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,208,d)].
% 0.88/1.26 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | -v1_xboole_0(k15_filter_2(c18,c19)). [resolve(233,d,227,d)].
% 0.88/1.26 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | m2_lattice4(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(233,d,229,d)].
% 0.88/1.26 234 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(222,e,218,d)].
% 0.88/1.26 235 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(222,e,220,d)].
% 0.88/1.26 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k1_filter_2(A),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(235,d,228,d)].
% 0.88/1.26 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(235,d,230,d)].
% 0.88/1.26 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m1_subset_1(k15_filter_2(A,k17_filter_2(A)),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(235,d,231,g)].
% 0.88/1.26 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m1_subset_1(k15_filter_2(A,f5(A)),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(235,d,232,g)].
% 0.88/1.26 Derived: v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | m1_subset_1(k15_filter_2(c18,c19),k1_zfmisc_1(u1_struct_0(k1_lattice2(c18)))) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18). [resolve(235,d,233,d)].
% 0.88/1.26 236 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k1_filter_0(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(223,e,219,d)].
% 0.88/1.26 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(k1_filter_0(A)). [resolve(236,d,227,d)].
% 6.94/7.21 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(k1_filter_0(A),A). [resolve(236,d,229,d)].
% 6.94/7.21 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(k1_filter_0(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(236,d,235,d)].
% 6.94/7.21 237 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(223,e,221,d)].
% 6.94/7.21 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(237,d,227,d)].
% 6.94/7.21 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(237,d,229,d)].
% 6.94/7.21 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(237,d,235,d)].
% 6.94/7.21 238 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = B | -v2_filter_0(B,A) | v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(224,e,222,e)].
% 6.94/7.21 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = k1_filter_2(A) | -v2_filter_0(k1_filter_2(A),A) | v1_filter_0(k1_filter_2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(238,k,228,d)].
% 6.94/7.21 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = f2(A) | -v2_filter_0(f2(A),A) | v1_filter_0(f2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(238,k,230,d)].
% 6.94/7.21 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | k1_filter_0(k1_lattice2(A)) = k15_filter_2(A,k17_filter_2(A)) | -v2_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(238,k,231,g)].
% 6.94/7.21 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | k1_filter_0(k1_lattice2(A)) = k15_filter_2(A,f5(A)) | -v2_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v1_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(238,k,232,g)].
% 6.94/7.21 Derived: v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | k1_filter_0(k1_lattice2(c18)) = k15_filter_2(c18,c19) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18). [resolve(238,k,233,d)].
% 6.94/7.21 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = k1_filter_0(A) | -v2_filter_0(k1_filter_0(A),A) | v1_filter_0(k1_filter_0(A),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). [resolve(238,k,236,d)].
% 15.43/15.77 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = f1(A) | -v2_filter_0(f1(A),A) | v1_filter_0(f1(A),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). [resolve(238,k,237,d)].
% 15.43/15.77 239 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != B | -v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(225,e,222,e)].
% 15.43/15.77 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != k1_filter_2(A) | -v1_filter_0(k1_filter_2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(239,j,228,d)].
% 15.43/15.77 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != f2(A) | -v1_filter_0(f2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(239,j,230,d)].
% 15.43/15.77 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | k1_filter_0(k1_lattice2(A)) != k15_filter_2(A,k17_filter_2(A)) | -v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(239,j,231,g)].
% 15.43/15.77 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | k1_filter_0(k1_lattice2(A)) != k15_filter_2(A,f5(A)) | -v1_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(239,j,232,g)].
% 15.43/15.77 Derived: v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | k1_filter_0(k1_lattice2(c18)) != k15_filter_2(c18,c19) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18). [resolve(239,j,233,d)].
% 15.43/15.77 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != k1_filter_0(A) | -v1_filter_0(k1_filter_0(A),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). [resolve(239,j,236,d)].
% 15.43/15.77 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != f1(A) | -v1_filter_0(f1(A),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). [resolve(239,j,237,d)].
% 15.43/15.77 240 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(B,A) | -v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(226,e,222,e)].
% 15.43/15.77 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(k1_filter_2(A),A) | -v1_filter_0(k1_filter_2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(240,j,228,d)].
% 15.43/15.77 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(f2(A),A) | -v1_filter_0(f2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(240,j,230,d)].
% 20.99/21.26 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v2_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | -v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(240,j,231,g)].
% 20.99/21.26 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v2_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | -v1_filter_0(k15_filter_2(A,f5(A)),k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(240,j,232,g)].
% 20.99/21.26 Derived: v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18). [resolve(240,j,233,d)].
% 20.99/21.26 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(k1_filter_0(A),A) | -v1_filter_0(k1_filter_0(A),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). [resolve(240,j,236,d)].
% 20.99/21.26 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(f1(A),A) | -v1_filter_0(f1(A),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). [resolve(240,j,237,d)].
% 20.99/21.26 241 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(54)].
% 20.99/21.26 242 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(27)].
% 20.99/21.26 243 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(29)].
% 20.99/21.26 244 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(42)].
% 20.99/21.26 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(241,b,242,b)].
% 20.99/21.26 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(241,b,243,b)].
% 20.99/21.26 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(241,b,244,a)].
% 20.99/21.26 245 l1_struct_0(c15) # label(rc3_struct_0) # label(axiom). [clausify(78)].
% 20.99/21.26 Derived: v3_struct_0(c15) | -v1_xboole_0(u1_struct_0(c15)). [resolve(245,a,241,b)].
% 20.99/21.26 246 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(79)].
% 20.99/21.26 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(246,b,242,b)].
% 20.99/21.26 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(246,b,243,b)].
% 20.99/21.26 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(246,b,244,a)].
% 20.99/21.26 Derived: v3_struct_0(c15) | m1_subset_1(f11(c15),k1_zfmisc_1(u1_struct_0(c15))). [resolve(246,b,245,a)].
% 20.99/21.26 247 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(79)].
% 20.99/21.26 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_lattices(A). [resolve(247,b,242,b)].
% 20.99/21.26 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l2_lattices(A). [resolve(247,b,243,b)].
% 20.99/21.26 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(247,b,244,a)].
% 20.99/21.26 Derived: v3_struct_0(c15) | -v1_xboole_0(f11(c15)). [resolve(247,b,245,a)].
% 20.99/21.26 248 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(50)].
% 21.19/21.46 249 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(36)].
% 21.19/21.46 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(248,d,249,d)].
% 21.19/21.46 250 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f8(A),A) # label(rc1_lattice4) # label(axiom). [clausify(70)].
% 21.19/21.46 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(250,d,249,d)].
% 21.19/21.46 251 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k17_filter_2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(210,d,207,d)].
% 21.19/21.46 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(k17_filter_2(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(251,d,249,d)].
% 21.19/21.46 252 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(211,d,210,d)].
% 21.19/21.46 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(252,g,249,d)].
% 21.19/21.46 253 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m2_lattice4(c19,c18). [resolve(217,a,210,d)].
% 21.19/21.46 Derived: v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m1_subset_1(c19,k1_zfmisc_1(u1_struct_0(c18))). [resolve(253,d,249,d)].
% 21.19/21.46 254 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k1_filter_2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(229,d,228,d)].
% 21.19/21.46 255 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(230,d,229,d)].
% 21.19/21.46 256 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m2_lattice4(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)). [resolve(231,g,229,d)].
% 21.19/21.46 257 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m2_lattice4(k15_filter_2(A,f5(A)),k1_lattice2(A)). [resolve(232,g,229,d)].
% 21.19/21.46 258 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | m2_lattice4(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(233,d,229,d)].
% 21.19/21.46 259 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(k1_filter_0(A),A). [resolve(236,d,229,d)].
% 21.19/21.46 260 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(237,d,229,d)].
% 21.19/21.46 261 -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(38)].
% 21.19/21.46 262 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(37)].
% 21.19/21.46 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(261,b,262,a)].
% 21.19/21.46 263 -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(40)].
% 21.19/21.46 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(263,b,262,a)].
% 33.98/34.31 264 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(51)].
% 33.98/34.31 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(264,a,262,a)].
% 33.98/34.31 265 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(85)].
% 33.98/34.31 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(265,a,261,b)].
% 33.98/34.31 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(265,a,263,b)].
% 33.98/34.31 Derived: m1_relset_1(f7(A,B),A,B). [resolve(265,a,264,a)].
% 33.98/34.31 266 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(85)].
% 33.98/34.31 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(266,a,262,a)].
% 33.98/34.31 267 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(90)].
% 33.98/34.31 268 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(86)].
% 33.98/34.31 269 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(90)].
% 33.98/34.31 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(267,b,268,a)].
% 33.98/34.31
% 33.98/34.31 ============================== end predicate elimination =============
% 33.98/34.31
% 33.98/34.31 Auto_denials: (non-Horn, no changes).
% 33.98/34.31
% 33.98/34.31 Term ordering decisions:
% 33.98/34.31 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. k2_zfmisc_1=1. k15_filter_2=1. k7_filter_2=1. f3=1. f7=1. k1_lattice2=1. u1_struct_0=1. k1_filter_0=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. k17_filter_2=1. k1_filter_2=1. f1=1. f2=1. f4=1. f5=1. f6=1. f8=1. f9=1. f10=1. f11=1. g3_lattices=1.
% 33.98/34.31
% 33.98/34.31 ============================== end of process initial clauses ========
% 33.98/34.31
% 33.98/34.31 ============================== CLAUSES FOR SEARCH ====================
% 33.98/34.31
% 33.98/34.31 ============================== end of clauses for search =============
% 33.98/34.31
% 33.98/34.31 ============================== SEARCH ================================
% 33.98/34.31
% 33.98/34.31 % Starting search at 20.36 seconds.
% 33.98/34.31
% 33.98/34.31 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1395 (0.00 of 20.42 sec).
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=67.000, iters=3708
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=53.000, iters=3483
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=50.000, iters=3346
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=48.000, iters=3344
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=43.000, iters=3335
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=40.000, iters=3733
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=35.000, iters=3629
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=30.000, iters=3358
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=21.000, iters=3479
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=20.000, iters=3513
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=17.000, iters=3602
% 33.98/34.31
% 33.98/34.31 Low Water (keep): wt=16.000, iters=3345
% 33.98/34.31
% 33.98/34.31 ============================== PROOF =================================
% 33.98/34.31 % SZS status Theorem
% 33.98/34.31 % SZS output start Refutation
% 33.98/34.31
% 33.98/34.31 % Proof 1 at 33.13 (+ 0.05) seconds.
% 33.98/34.31 % Length of proof is 161.
% 33.98/34.31 % Level of proof is 18.
% 33.98/34.31 % Maximum clause weight is 40.000.
% 33.98/34.31 % Given clauses 11016.
% 33.98/34.31
% 33.98/34.31 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].
% 33.98/34.31 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k1_filter_0(A) = u1_struct_0(A))) # label(d2_filter_0) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 14 (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].
% 33.98/34.31 15 (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].
% 33.98/34.31 16 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> k17_filter_2(A) = u1_struct_0(A))) # label(d8_filter_2) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 18 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))) # label(dt_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 19 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m2_filter_2(k17_filter_2(A),A))) # label(dt_k17_filter_2) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 22 (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].
% 33.98/34.31 30 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 35 (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].
% 33.98/34.31 36 (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].
% 33.98/34.31 38 (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].
% 33.98/34.31 40 (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].
% 33.98/34.31 53 (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].
% 33.98/34.31 59 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_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)) & v11_lattices(k1_lattice2(A)) & v12_lattices(k1_lattice2(A)) & v13_lattices(k1_lattice2(A)) & v14_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)))) # label(fc4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 63 (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].
% 33.98/34.31 64 (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].
% 33.98/34.31 82 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> k15_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 84 (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].
% 33.98/34.31 85 (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].
% 33.98/34.31 86 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 89 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t33_filter_2) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 90 (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].
% 33.98/34.31 91 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (v1_filter_2(B,A) <-> v2_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t44_filter_2) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 93 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (B != k1_filter_0(A) & v2_filter_0(B,A) <-> v1_filter_0(B,A)))))) # label(t58_filter_0) # label(axiom) # label(non_clause). [assumption].
% 33.98/34.31 98 -(all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (B != k17_filter_2(A) & v1_filter_2(B,A) <-> r2_filter_2(A,B)))))) # label(t58_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 33.98/34.31 100 -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)].
% 33.98/34.31 101 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(22)].
% 33.98/34.31 207 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(k17_filter_2(A),A) # label(dt_k17_filter_2) # label(axiom). [clausify(19)].
% 33.98/34.31 208 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) # label(dt_k15_filter_2) # label(axiom). [clausify(18)].
% 33.98/34.31 210 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(35)].
% 33.98/34.31 212 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | k15_filter_2(A,B) = k7_filter_2(A,B) # label(redefinition_k15_filter_2) # label(axiom). [clausify(82)].
% 33.98/34.31 213 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -r2_filter_2(A,B) | v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t33_filter_2) # label(axiom). [clausify(89)].
% 33.98/34.31 214 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | r2_filter_2(A,B) | -v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t33_filter_2) # label(axiom). [clausify(89)].
% 33.98/34.31 215 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -v1_filter_2(B,A) | v2_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t44_filter_2) # label(axiom). [clausify(91)].
% 33.98/34.31 216 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | v1_filter_2(B,A) | -v2_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t44_filter_2) # label(axiom). [clausify(91)].
% 33.98/34.31 217 m2_filter_2(c19,c18) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 222 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(84)].
% 33.98/34.31 224 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | k1_filter_0(A) = B | -v2_filter_0(B,A) | v1_filter_0(B,A) # label(t58_filter_0) # label(axiom). [clausify(93)].
% 33.98/34.31 225 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | k1_filter_0(A) != B | -v1_filter_0(B,A) # label(t58_filter_0) # label(axiom). [clausify(93)].
% 33.98/34.31 226 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | v2_filter_0(B,A) | -v1_filter_0(B,A) # label(t58_filter_0) # label(axiom). [clausify(93)].
% 33.98/34.31 231 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)). [resolve(207,d,208,d)].
% 33.98/34.31 233 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m1_filter_2(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,208,d)].
% 33.98/34.31 238 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = B | -v2_filter_0(B,A) | v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(224,e,222,e)].
% 33.98/34.31 239 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | k1_filter_0(A) != B | -v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(225,e,222,e)].
% 33.98/34.31 240 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v2_filter_0(B,A) | -v1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A). [resolve(226,e,222,e)].
% 33.98/34.31 249 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(36)].
% 33.98/34.31 253 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m2_lattice4(c19,c18). [resolve(217,a,210,d)].
% 33.98/34.31 261 -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(38)].
% 33.98/34.31 263 -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(40)].
% 33.98/34.31 265 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(85)].
% 33.98/34.31 267 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(90)].
% 33.98/34.31 268 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(86)].
% 33.98/34.31 275 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k1_filter_0(A) = u1_struct_0(A) # label(d2_filter_0) # label(axiom). [clausify(13)].
% 33.98/34.31 276 -l3_lattices(A) | k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) # label(d2_lattice2) # label(axiom). [clausify(14)].
% 33.98/34.31 277 -l3_lattices(A) | g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) = k1_lattice2(A). [copy(276),flip(b)].
% 33.98/34.31 278 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(15)].
% 33.98/34.31 279 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k17_filter_2(A) = u1_struct_0(A) # label(d8_filter_2) # label(axiom). [clausify(16)].
% 33.98/34.31 281 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(22)].
% 33.98/34.31 283 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(30)].
% 33.98/34.31 284 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(30)].
% 33.98/34.31 285 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(38)].
% 33.98/34.31 286 -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(dt_u1_lattices) # label(axiom). [clausify(38)].
% 33.98/34.31 287 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(40)].
% 33.98/34.31 288 -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(dt_u2_lattices) # label(axiom). [clausify(40)].
% 33.98/34.31 295 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(53)].
% 33.98/34.31 303 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v17_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(59)].
% 33.98/34.31 305 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(63)].
% 33.98/34.31 306 -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) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | D = B # label(free_g3_lattices) # label(axiom). [clausify(64)].
% 33.98/34.31 308 -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) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | F = C # label(free_g3_lattices) # label(axiom). [clausify(64)].
% 33.98/34.31 356 -v3_struct_0(c18) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 357 v10_lattices(c18) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 358 v17_lattices(c18) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 359 l3_lattices(c18) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 360 k17_filter_2(c18) != c19 | r2_filter_2(c18,c19) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 361 v1_filter_2(c19,c18) | r2_filter_2(c18,c19) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 362 k17_filter_2(c18) = c19 | -v1_filter_2(c19,c18) | -r2_filter_2(c18,c19) # label(t58_filter_2) # label(negated_conjecture). [clausify(98)].
% 33.98/34.31 364 -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(101,b,100,b)].
% 33.98/34.31 417 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k15_filter_2(A,k17_filter_2(A)) = k7_filter_2(A,k17_filter_2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(212,d,207,d)].
% 33.98/34.31 418 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k7_filter_2(A,k17_filter_2(A)) = k15_filter_2(A,k17_filter_2(A)). [copy(417),flip(d),merge(e),merge(f),merge(g)].
% 33.98/34.31 421 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -r2_filter_2(A,k17_filter_2(A)) | v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(213,d,207,d)].
% 33.98/34.31 422 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -r2_filter_2(A,k17_filter_2(A)) | v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)). [copy(421),merge(f),merge(g),merge(h)].
% 33.98/34.31 439 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | k15_filter_2(c18,c19) = k7_filter_2(c18,c19). [resolve(217,a,212,d)].
% 33.98/34.31 440 k7_filter_2(c18,c19) = k15_filter_2(c18,c19). [copy(439),flip(d),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 441 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | -r2_filter_2(c18,c19) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,213,d)].
% 33.98/34.31 442 -r2_filter_2(c18,c19) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [copy(441),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 443 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | r2_filter_2(c18,c19) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,214,d)].
% 33.98/34.31 444 r2_filter_2(c18,c19) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [copy(443),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 445 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | -v1_filter_2(c19,c18) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,215,d)].
% 33.98/34.31 446 -v1_filter_2(c19,c18) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [copy(445),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 447 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | v1_filter_2(c19,c18) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [resolve(217,a,216,d)].
% 33.98/34.31 448 v1_filter_2(c19,c18) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [copy(447),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 497 v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | k1_filter_0(k1_lattice2(c18)) = k15_filter_2(c18,c19) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18). [resolve(238,k,233,d)].
% 33.98/34.31 498 v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | k1_filter_0(k1_lattice2(c18)) = k15_filter_2(c18,c19) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [copy(497),merge(h),merge(i),merge(j),unit_del(h,356),unit_del(i,357),unit_del(j,359)].
% 33.98/34.31 504 v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | k1_filter_0(k1_lattice2(A)) != k15_filter_2(A,k17_filter_2(A)) | -v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(239,j,231,g)].
% 33.98/34.31 505 v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v17_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | k15_filter_2(A,k17_filter_2(A)) != k1_filter_0(k1_lattice2(A)) | -v1_filter_0(k15_filter_2(A,k17_filter_2(A)),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [copy(504),flip(e),merge(g),merge(h),merge(i),merge(m),merge(n),merge(o)].
% 33.98/34.31 520 v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18). [resolve(240,j,233,d)].
% 33.98/34.31 521 v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [copy(520),merge(g),merge(h),merge(i),unit_del(g,356),unit_del(h,357),unit_del(i,359)].
% 33.98/34.31 547 v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | v3_struct_0(c18) | -v10_lattices(c18) | -l3_lattices(c18) | m1_subset_1(c19,k1_zfmisc_1(u1_struct_0(c18))). [resolve(253,d,249,d)].
% 33.98/34.31 548 m1_subset_1(c19,k1_zfmisc_1(u1_struct_0(c18))). [copy(547),merge(d),merge(e),merge(f),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 552 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(265,a,261,b)].
% 33.98/34.31 553 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(265,a,263,b)].
% 33.98/34.31 556 m1_subset_1(A,k1_zfmisc_1(A)). [resolve(267,b,268,a)].
% 33.98/34.31 670 v10_lattices(k1_lattice2(c18)). [resolve(357,a,305,b),unit_del(a,356),unit_del(b,359)].
% 33.98/34.31 671 k17_filter_2(c18) = u1_struct_0(c18). [resolve(357,a,279,b),unit_del(a,356),unit_del(b,359)].
% 33.98/34.31 673 v3_struct_0(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [back_unit_del(521),unit_del(b,670)].
% 33.98/34.31 675 v3_struct_0(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | k1_filter_0(k1_lattice2(c18)) = k15_filter_2(c18,c19) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [back_unit_del(498),unit_del(b,670)].
% 33.98/34.31 678 u1_struct_0(c18) = c19 | -v1_filter_2(c19,c18) | -r2_filter_2(c18,c19). [back_rewrite(362),rewrite([671(2)])].
% 33.98/34.31 679 u1_struct_0(c18) != c19 | r2_filter_2(c18,c19). [back_rewrite(360),rewrite([671(2)])].
% 33.98/34.31 681 v17_lattices(k1_lattice2(c18)). [resolve(358,a,303,c),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 688 v3_struct_0(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | k1_filter_0(k1_lattice2(c18)) = k15_filter_2(c18,c19) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [back_unit_del(675),unit_del(b,681)].
% 33.98/34.31 690 v3_struct_0(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) | v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [back_unit_del(673),unit_del(b,681)].
% 33.98/34.31 691 -v3_struct_0(k1_lattice2(c18)). [resolve(359,a,295,b),unit_del(a,356)].
% 33.98/34.31 692 l2_lattices(c18). [resolve(359,a,284,a)].
% 33.98/34.31 693 l1_lattices(c18). [resolve(359,a,283,a)].
% 33.98/34.31 694 l3_lattices(k1_lattice2(c18)). [resolve(359,a,281,a)].
% 33.98/34.31 695 g3_lattices(u1_struct_0(c18),u1_lattices(c18),u2_lattices(c18)) = k1_lattice2(c18). [resolve(359,a,277,a)].
% 33.98/34.31 696 v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | -v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [back_unit_del(690),unit_del(a,691),unit_del(b,694)].
% 33.98/34.31 698 k1_filter_0(k1_lattice2(c18)) = k15_filter_2(c18,c19) | -v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | v1_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)). [back_unit_del(688),unit_del(a,691),unit_del(b,694)].
% 33.98/34.31 704 k7_filter_2(c18,u1_struct_0(c18)) = k15_filter_2(c18,u1_struct_0(c18)). [resolve(418,b,357,a),rewrite([671(7),671(11)]),unit_del(a,356),unit_del(b,359)].
% 33.98/34.31 716 v2_filter_0(k15_filter_2(c18,c19),k1_lattice2(c18)) | r2_filter_2(c18,c19). [resolve(446,a,361,a)].
% 33.98/34.31 762 k15_filter_2(c18,c19) = c19. [resolve(548,a,278,d),rewrite([440(9)]),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 763 v2_filter_0(c19,k1_lattice2(c18)) | r2_filter_2(c18,c19). [back_rewrite(716),rewrite([762(3)])].
% 33.98/34.31 765 k1_filter_0(k1_lattice2(c18)) = c19 | -v2_filter_0(c19,k1_lattice2(c18)) | v1_filter_0(c19,k1_lattice2(c18)). [back_rewrite(698),rewrite([762(6),762(8),762(12)])].
% 33.98/34.31 767 v2_filter_0(c19,k1_lattice2(c18)) | -v1_filter_0(c19,k1_lattice2(c18)). [back_rewrite(696),rewrite([762(3),762(7)])].
% 33.98/34.31 768 v1_filter_2(c19,c18) | -v2_filter_0(c19,k1_lattice2(c18)). [back_rewrite(448),rewrite([762(6)])].
% 33.98/34.31 770 r2_filter_2(c18,c19) | -v1_filter_0(c19,k1_lattice2(c18)). [back_rewrite(444),rewrite([762(6)])].
% 33.98/34.31 771 -r2_filter_2(c18,c19) | v1_filter_0(c19,k1_lattice2(c18)). [back_rewrite(442),rewrite([762(6)])].
% 33.98/34.31 800 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k7_filter_2(A,u1_struct_0(A)) = u1_struct_0(A). [resolve(556,a,278,d)].
% 33.98/34.31 895 m1_relset_1(u2_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(692,a,553,b)].
% 33.98/34.31 900 v1_funct_2(u2_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(692,a,288,a)].
% 33.98/34.31 901 v1_funct_1(u2_lattices(c18)). [resolve(692,a,287,a)].
% 33.98/34.31 902 m1_relset_1(u1_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(693,a,552,b)].
% 33.98/34.31 904 v1_funct_2(u1_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(693,a,286,a)].
% 33.98/34.31 905 v1_funct_1(u1_lattices(c18)). [resolve(693,a,285,a)].
% 33.98/34.31 1094 k1_filter_0(k1_lattice2(c18)) = u1_struct_0(k1_lattice2(c18)). [resolve(670,a,275,b),unit_del(a,691),unit_del(b,694)].
% 33.98/34.31 1098 u1_struct_0(k1_lattice2(c18)) = c19 | -v2_filter_0(c19,k1_lattice2(c18)) | v1_filter_0(c19,k1_lattice2(c18)). [back_rewrite(765),rewrite([1094(3)])].
% 33.98/34.31 1103 g3_lattices(u1_struct_0(k1_lattice2(c18)),u2_lattices(k1_lattice2(c18)),u1_lattices(k1_lattice2(c18))) = k1_lattice2(c18). [resolve(694,a,364,b),unit_del(a,359)].
% 33.98/34.31 1565 -r2_filter_2(c18,u1_struct_0(c18)) | v1_filter_0(k15_filter_2(c18,u1_struct_0(c18)),k1_lattice2(c18)). [para(671(a,1),422(d,2)),rewrite([671(13)]),unit_del(a,356),unit_del(b,357),unit_del(c,359)].
% 33.98/34.31 1571 k15_filter_2(c18,u1_struct_0(c18)) != u1_struct_0(k1_lattice2(c18)) | -v1_filter_0(k15_filter_2(c18,u1_struct_0(c18)),k1_lattice2(c18)). [para(671(a,1),505(f,1,2)),rewrite([671(15),1094(19)]),unit_del(a,691),unit_del(b,670),unit_del(c,681),unit_del(d,694),unit_del(g,356),unit_del(h,357),unit_del(i,359)].
% 33.98/34.31 2362 v1_filter_0(c19,k1_lattice2(c18)) | v2_filter_0(c19,k1_lattice2(c18)). [resolve(771,a,763,b)].
% 33.98/34.31 2761 k15_filter_2(c18,u1_struct_0(c18)) = u1_struct_0(c18). [resolve(800,b,357,a),rewrite([704(8)]),unit_del(a,356),unit_del(b,359)].
% 33.98/34.31 2858 u1_struct_0(k1_lattice2(c18)) != u1_struct_0(c18) | -v1_filter_0(u1_struct_0(c18),k1_lattice2(c18)). [back_rewrite(1571),rewrite([2761(4),2761(10)]),flip(a)].
% 33.98/34.31 2863 -r2_filter_2(c18,u1_struct_0(c18)) | v1_filter_0(u1_struct_0(c18),k1_lattice2(c18)). [back_rewrite(1565),rewrite([2761(8)])].
% 33.98/34.31 4416 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | g3_lattices(u1_struct_0(c18),A,u2_lattices(c18)) != g3_lattices(B,C,D) | u2_lattices(c18) = D. [resolve(895,a,308,f),flip(f),flip(g),unit_del(d,901),unit_del(e,900)].
% 33.98/34.31 4420 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | g3_lattices(u1_struct_0(c18),A,u2_lattices(c18)) != g3_lattices(B,C,D) | u1_struct_0(c18) = B. [resolve(895,a,306,f),flip(f),flip(g),unit_del(d,901),unit_del(e,900)].
% 33.98/34.31 5178 u1_struct_0(k1_lattice2(c18)) = c19 | v1_filter_0(c19,k1_lattice2(c18)). [resolve(1098,b,2362,b),merge(c)].
% 33.98/34.31 7449 u1_struct_0(k1_lattice2(c18)) = c19 | r2_filter_2(c18,c19). [resolve(5178,b,770,b)].
% 33.98/34.31 7450 u1_struct_0(k1_lattice2(c18)) = c19 | v2_filter_0(c19,k1_lattice2(c18)). [resolve(5178,b,767,b)].
% 33.98/34.31 8159 u1_struct_0(k1_lattice2(c18)) = c19 | v1_filter_2(c19,c18). [resolve(7450,b,768,b)].
% 33.98/34.31 8162 u1_struct_0(k1_lattice2(c18)) = c19 | u1_struct_0(c18) = c19 | -r2_filter_2(c18,c19). [resolve(8159,b,678,b)].
% 33.98/34.31 14416 u1_struct_0(k1_lattice2(c18)) = c19 | u1_struct_0(c18) = c19. [resolve(8162,c,7449,b),merge(c)].
% 33.98/34.31 25212 g3_lattices(A,B,C) != k1_lattice2(c18) | u2_lattices(c18) = C. [resolve(4416,c,902,a),rewrite([695(20)]),flip(c),unit_del(a,905),unit_del(b,904)].
% 33.98/34.31 25213 u1_lattices(k1_lattice2(c18)) = u2_lattices(c18). [resolve(25212,a,1103,a),flip(a)].
% 33.98/34.31 25398 g3_lattices(u1_struct_0(k1_lattice2(c18)),u2_lattices(k1_lattice2(c18)),u2_lattices(c18)) = k1_lattice2(c18). [back_rewrite(1103),rewrite([25213(9)])].
% 33.98/34.31 25403 g3_lattices(A,B,C) != k1_lattice2(c18) | u1_struct_0(c18) = A. [resolve(4420,c,902,a),rewrite([695(20)]),flip(c),unit_del(a,905),unit_del(b,904)].
% 33.98/34.31 25529 u1_struct_0(k1_lattice2(c18)) = u1_struct_0(c18). [resolve(25398,a,25403,a),flip(a)].
% 33.98/34.31 25688 u1_struct_0(c18) = c19. [back_rewrite(14416),rewrite([25529(3)]),merge(b)].
% 33.98/34.31 25853 -v1_filter_0(c19,k1_lattice2(c18)). [back_rewrite(2858),rewrite([25529(3),25688(2),25688(3),25688(5)]),xx(a)].
% 33.98/34.31 26290 -r2_filter_2(c18,c19). [back_rewrite(2863),rewrite([25688(3),25688(5)]),unit_del(b,25853)].
% 33.98/34.31 26299 $F. [back_rewrite(679),rewrite([25688(2)]),xx(a),unit_del(a,26290)].
% 33.98/34.31
% 33.98/34.31 % SZS output end Refutation
% 33.98/34.31 ============================== end of proof ==========================
% 33.98/34.31
% 33.98/34.31 ============================== STATISTICS ============================
% 33.98/34.31
% 33.98/34.31 Given=11016. Generated=60575. Kept=25921. proofs=1.
% 33.98/34.31 Usable=4058. Sos=3234. Demods=688. Limbo=611, Disabled=18509. Hints=0.
% 33.98/34.31 Megabytes=28.85.
% 33.98/34.31 User_CPU=33.13, System_CPU=0.05, Wall_clock=33.
% 33.98/34.31
% 33.98/34.31 ============================== end of statistics =====================
% 33.98/34.31
% 33.98/34.31 ============================== end of search =========================
% 33.98/34.31
% 33.98/34.31 THEOREM PROVED
% 33.98/34.31 % SZS status Theorem
% 33.98/34.31
% 33.98/34.31 Exiting with 1 proof.
% 33.98/34.31
% 33.98/34.31 Process 19404 exit (max_proofs) Tue Jun 28 20:54:56 2022
% 33.98/34.31 Prover9 interrupted
%------------------------------------------------------------------------------