TSTP Solution File: LAT306+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT306+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n017.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 06:27:14 EDT 2022
% Result : Theorem 8.03s 8.28s
% Output : Refutation 8.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT306+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 15:14:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.06 ============================== Prover9 ===============================
% 0.43/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.06 Process 5922 was started by sandbox on n017.cluster.edu,
% 0.43/1.06 Wed Jun 29 15:14:08 2022
% 0.43/1.06 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_5769_n017.cluster.edu".
% 0.43/1.06 ============================== end of head ===========================
% 0.43/1.06
% 0.43/1.06 ============================== INPUT =================================
% 0.43/1.06
% 0.43/1.06 % Reading from file /tmp/Prover9_5769_n017.cluster.edu
% 0.43/1.06
% 0.43/1.06 set(prolog_style_variables).
% 0.43/1.06 set(auto2).
% 0.43/1.06 % set(auto2) -> set(auto).
% 0.43/1.06 % set(auto) -> set(auto_inference).
% 0.43/1.06 % set(auto) -> set(auto_setup).
% 0.43/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.06 % set(auto) -> set(auto_limits).
% 0.43/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.06 % set(auto) -> set(auto_denials).
% 0.43/1.06 % set(auto) -> set(auto_process).
% 0.43/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.06 % set(auto2) -> assign(stats, some).
% 0.43/1.06 % set(auto2) -> clear(echo_input).
% 0.43/1.06 % set(auto2) -> set(quiet).
% 0.43/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.06 % set(auto2) -> clear(print_given).
% 0.43/1.06 assign(lrs_ticks,-1).
% 0.43/1.06 assign(sos_limit,10000).
% 0.43/1.06 assign(order,kbo).
% 0.43/1.06 set(lex_order_vars).
% 0.43/1.06 clear(print_given).
% 0.43/1.06
% 0.43/1.06 % formulas(sos). % not echoed (106 formulas)
% 0.43/1.06
% 0.43/1.06 ============================== end of input ==========================
% 0.43/1.06
% 0.43/1.06 % From the command line: assign(max_seconds, 300).
% 0.43/1.06
% 0.43/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.06
% 0.43/1.06 % Formulas that are not ordinary clauses:
% 0.43/1.06 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].
% 0.43/1.06 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 10 (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].
% 0.43/1.06 11 (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].
% 0.43/1.06 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_0(A,B) = a_2_0_filter_0(A,B))))) # label(d3_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 14 (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].
% 0.43/1.06 15 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 16 (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].
% 0.43/1.06 17 (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].
% 0.43/1.06 18 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 19 (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].
% 0.43/1.06 20 (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].
% 0.43/1.06 21 (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].
% 0.43/1.06 22 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 23 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 24 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 25 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_2(k2_filter_2(A,B),A))) # label(dt_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 26 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 27 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 28 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 29 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 30 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 31 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 32 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 33 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 34 (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].
% 0.43/1.06 35 (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].
% 0.43/1.06 36 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 37 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 38 (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].
% 0.43/1.06 39 (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].
% 0.43/1.06 40 (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].
% 0.43/1.06 41 (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].
% 0.43/1.06 42 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 43 (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].
% 0.43/1.06 44 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 45 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 46 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 47 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 48 (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].
% 0.43/1.06 49 (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].
% 0.43/1.06 50 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 51 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 52 (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].
% 0.43/1.06 53 (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].
% 0.43/1.06 54 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 55 (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].
% 0.43/1.06 56 (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].
% 0.43/1.06 57 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 58 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 59 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 60 (all A all B all C (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 61 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 62 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 63 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 64 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 65 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_0(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D)))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 66 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_2(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C)))))) # label(fraenkel_a_2_0_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 67 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> A = D & B = E & C = F)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 69 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 72 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 75 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 77 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 78 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 80 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 82 (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].
% 0.43/1.06 83 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 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].
% 0.43/1.06 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].
% 0.43/1.06 86 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) <-> B = C))) # label(redefinition_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 87 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 88 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> r1_filter_2(A,B,B))) # label(reflexivity_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 89 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 90 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 91 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) -> r1_filter_2(A,C,B)))) # label(symmetry_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 92 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 93 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> k1_filter_0(A) = k2_filter_0(A,k5_lattices(A))))) # label(t20_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 94 (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].
% 0.43/1.06 95 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.06 96 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 97 (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].
% 0.43/1.07 98 (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].
% 0.43/1.07 99 (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].
% 0.43/1.07 100 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) <-> v13_lattices(k1_lattice2(A))))) # label(t64_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 101 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 102 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> k6_lattices(A) = k5_lattices(k1_lattice2(A)))) # label(t79_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 103 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 104 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.07 105 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k17_filter_2(A),k18_filter_2(A,k6_lattices(A)))))) # label(t32_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/1.07
% 0.43/1.07 ============================== end of process non-clausal formulas ===
% 0.43/1.07
% 0.43/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.07
% 0.43/1.07 ============================== PREDICATE ELIMINATION =================
% 0.43/1.07 106 -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(16)].
% 0.43/1.07 107 -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)].
% 0.43/1.07 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(106,g,107,b)].
% 0.43/1.07 108 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(21)].
% 0.43/1.07 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(108,b,107,b)].
% 0.43/1.07 109 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(55)].
% 0.43/1.07 110 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A) | v3_lattices(g3_lattices(A,B,C)) # label(fc3_lattices) # label(axiom). [clausify(60)].
% 0.43/1.07 111 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.43/1.07 112 v3_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(68)].
% 0.43/1.07 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(112,a,107,b)].
% 0.43/1.07 113 v3_lattices(c11) # label(rc3_lattices) # label(axiom). [clausify(77)].
% 0.43/1.07 Derived: -l3_lattices(c11) | g3_lattices(u1_struct_0(c11),u2_lattices(c11),u1_lattices(c11)) = c11. [resolve(113,a,107,b)].
% 0.43/1.07 114 v3_lattices(c13) # label(rc6_lattices) # label(axiom). [clausify(80)].
% 0.43/1.07 Derived: -l3_lattices(c13) | g3_lattices(u1_struct_0(c13),u2_lattices(c13),u1_lattices(c13)) = c13. [resolve(114,a,107,b)].
% 0.43/1.07 115 v3_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.43/1.07 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(115,a,107,b)].
% 0.43/1.07 116 -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)].
% 0.43/1.07 117 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.43/1.07 118 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.43/1.07 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(118,b,117,d)].
% 0.43/1.07 119 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.43/1.07 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(119,b,117,d)].
% 0.43/1.07 120 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.43/1.07 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(120,b,117,d)].
% 0.43/1.07 121 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.43/1.07 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(121,b,117,d)].
% 0.43/1.07 122 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.43/1.07 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(122,b,117,d)].
% 0.43/1.07 123 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.43/1.07 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(123,d,118,b)].
% 0.43/1.07 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(123,d,119,b)].
% 0.43/1.07 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(123,d,120,b)].
% 0.43/1.07 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(123,d,121,b)].
% 0.43/1.07 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(123,d,122,b)].
% 0.43/1.07 124 v4_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(68)].
% 0.43/1.07 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(124,a,118,b)].
% 0.43/1.07 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(124,a,119,b)].
% 0.43/1.07 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(124,a,120,b)].
% 0.83/1.08 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(124,a,121,b)].
% 0.83/1.08 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(124,a,122,b)].
% 0.83/1.08 125 v4_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_relat_1(u2_lattices(c14)). [resolve(125,a,118,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_funct_1(u2_lattices(c14)). [resolve(125,a,119,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_funct_2(u2_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(125,a,120,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_binop_1(u2_lattices(c14),u1_struct_0(c14)). [resolve(125,a,121,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_partfun1(u2_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(125,a,122,b)].
% 0.83/1.08 126 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.83/1.08 127 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.83/1.08 128 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.83/1.08 129 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.83/1.08 130 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.83/1.08 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(130,b,127,d)].
% 0.83/1.08 131 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.83/1.08 132 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.83/1.08 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(132,d,130,b)].
% 0.83/1.08 133 v5_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(68)].
% 0.83/1.08 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(133,a,130,b)].
% 0.83/1.08 134 v5_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v2_binop_1(u2_lattices(c14),u1_struct_0(c14)). [resolve(134,a,130,b)].
% 0.83/1.08 135 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.83/1.08 136 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.83/1.08 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(135,b,136,d)].
% 0.83/1.08 137 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.83/1.08 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(137,b,136,d)].
% 0.83/1.08 138 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.83/1.08 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(138,b,136,d)].
% 0.83/1.08 139 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.83/1.08 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(139,b,136,d)].
% 0.83/1.08 140 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.83/1.08 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(140,b,136,d)].
% 0.83/1.08 141 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.83/1.08 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(141,d,135,b)].
% 0.83/1.08 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(141,d,137,b)].
% 0.83/1.08 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(141,d,138,b)].
% 0.83/1.08 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(141,d,139,b)].
% 0.83/1.08 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(141,d,140,b)].
% 0.83/1.08 142 v6_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(68)].
% 0.83/1.08 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(142,a,135,b)].
% 0.83/1.08 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(142,a,137,b)].
% 0.83/1.08 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(142,a,138,b)].
% 0.83/1.08 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(142,a,139,b)].
% 0.83/1.08 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(142,a,140,b)].
% 0.83/1.08 143 v6_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_relat_1(u1_lattices(c14)). [resolve(143,a,135,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_funct_1(u1_lattices(c14)). [resolve(143,a,137,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_funct_2(u1_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(143,a,138,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_binop_1(u1_lattices(c14),u1_struct_0(c14)). [resolve(143,a,139,b)].
% 0.83/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_partfun1(u1_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(143,a,140,b)].
% 0.83/1.08 144 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(87)].
% 0.83/1.08 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(144,b,136,d)].
% 0.83/1.08 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | -r3_lattices(k1_lattice2(A),B,C) | r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(144,b,141,d)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | -r3_lattices(c5,A,B) | r1_lattices(c5,A,B). [resolve(144,b,142,a)].
% 0.83/1.09 Derived: v3_struct_0(c14) | -v8_lattices(c14) | -v9_lattices(c14) | -l3_lattices(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | -r3_lattices(c14,A,B) | r1_lattices(c14,A,B). [resolve(144,b,143,a)].
% 0.83/1.09 145 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(87)].
% 0.83/1.09 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(145,b,136,d)].
% 0.83/1.09 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,C) | -r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(145,b,141,d)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | r3_lattices(c5,A,B) | -r1_lattices(c5,A,B). [resolve(145,b,142,a)].
% 0.83/1.09 Derived: v3_struct_0(c14) | -v8_lattices(c14) | -v9_lattices(c14) | -l3_lattices(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | r3_lattices(c14,A,B) | -r1_lattices(c14,A,B). [resolve(145,b,143,a)].
% 0.83/1.09 146 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(90)].
% 0.83/1.09 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(146,b,136,d)].
% 0.83/1.09 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(146,b,141,d)].
% 0.83/1.09 Derived: v3_struct_0(c5) | -v8_lattices(c5) | -v9_lattices(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -m1_subset_1(B,u1_struct_0(c5)) | r3_lattices(c5,A,A). [resolve(146,b,142,a)].
% 0.83/1.09 Derived: v3_struct_0(c14) | -v8_lattices(c14) | -v9_lattices(c14) | -l3_lattices(c14) | -m1_subset_1(A,u1_struct_0(c14)) | -m1_subset_1(B,u1_struct_0(c14)) | r3_lattices(c14,A,A). [resolve(146,b,143,a)].
% 0.83/1.09 147 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.83/1.09 148 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.83/1.09 149 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.83/1.09 150 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.83/1.09 151 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v2_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.83/1.09 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(151,b,148,d)].
% 0.83/1.10 152 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.83/1.10 153 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.83/1.10 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(153,d,151,b)].
% 0.83/1.10 154 v7_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(68)].
% 0.83/1.10 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(154,a,151,b)].
% 0.83/1.10 155 v7_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(81)].
% 0.83/1.10 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v2_binop_1(u1_lattices(c14),u1_struct_0(c14)). [resolve(155,a,151,b)].
% 0.83/1.10 156 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.83/1.10 157 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.83/1.10 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(156,a,157,b)].
% 0.83/1.10 158 v1_relat_1(c6) # label(rc1_funct_1) # label(axiom). [clausify(69)].
% 0.83/1.10 Derived: -v1_xboole_0(c6) | -v1_funct_1(c6) | v2_funct_1(c6). [resolve(158,a,156,a)].
% 0.83/1.10 159 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(73)].
% 0.83/1.10 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(159,a,156,a)].
% 0.83/1.10 160 v1_relat_1(c10) # label(rc3_funct_1) # label(axiom). [clausify(76)].
% 0.83/1.10 161 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(118,b,117,d)].
% 0.83/1.10 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(161,c,156,a)].
% 0.83/1.10 162 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(123,d,118,b)].
% 0.83/1.10 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(162,f,156,a)].
% 0.83/1.10 163 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(124,a,118,b)].
% 0.83/1.10 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(163,c,156,a)].
% 0.83/1.10 164 v3_struct_0(c14) | -l2_lattices(c14) | v1_relat_1(u2_lattices(c14)). [resolve(125,a,118,b)].
% 0.83/1.10 Derived: v3_struct_0(c14) | -l2_lattices(c14) | -v1_xboole_0(u2_lattices(c14)) | -v1_funct_1(u2_lattices(c14)) | v2_funct_1(u2_lattices(c14)). [resolve(164,c,156,a)].
% 0.83/1.10 165 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(135,b,136,d)].
% 0.83/1.10 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(165,c,156,a)].
% 0.83/1.10 166 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(141,d,135,b)].
% 0.83/1.10 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(166,f,156,a)].
% 0.83/1.10 167 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(142,a,135,b)].
% 0.83/1.10 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(167,c,156,a)].
% 0.83/1.11 168 v3_struct_0(c14) | -l1_lattices(c14) | v1_relat_1(u1_lattices(c14)). [resolve(143,a,135,b)].
% 0.83/1.11 Derived: v3_struct_0(c14) | -l1_lattices(c14) | -v1_xboole_0(u1_lattices(c14)) | -v1_funct_1(u1_lattices(c14)) | v2_funct_1(u1_lattices(c14)). [resolve(168,c,156,a)].
% 0.83/1.11 169 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v14_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.83/1.11 170 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.83/1.11 171 v14_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(68)].
% 0.83/1.11 172 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(100)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(172,d,169,d)].
% 0.83/1.11 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v13_lattices(k1_lattice2(c5)). [resolve(172,d,171,a)].
% 0.83/1.11 173 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v14_lattices(A) | -v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(100)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | v15_lattices(A). [resolve(173,d,170,d)].
% 0.83/1.11 174 v3_struct_0(A) | -v10_lattices(A) | -v14_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) # label(t79_lattice2) # label(axiom). [clausify(102)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(174,c,169,d)].
% 0.83/1.11 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | k6_lattices(c5) = k5_lattices(k1_lattice2(c5)). [resolve(174,c,171,a)].
% 0.83/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(k1_lattice2(A)). [resolve(174,c,173,d)].
% 0.83/1.11 175 v14_lattices(c15) # label(t32_filter_2) # label(negated_conjecture). [clausify(105)].
% 0.83/1.11 Derived: -l3_lattices(c15) | v3_struct_0(c15) | -v13_lattices(c15) | v15_lattices(c15). [resolve(175,a,170,d)].
% 0.83/1.11 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v13_lattices(k1_lattice2(c15)). [resolve(175,a,172,d)].
% 0.83/1.11 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | k6_lattices(c15) = k5_lattices(k1_lattice2(c15)). [resolve(175,a,174,c)].
% 0.83/1.11 176 v15_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(68)].
% 0.83/1.11 177 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.83/1.11 Derived: -l3_lattices(c5) | v3_struct_0(c5) | v13_lattices(c5). [resolve(176,a,177,c)].
% 0.83/1.11 178 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(172,d,169,d)].
% 0.83/1.11 179 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | v15_lattices(A). [resolve(173,d,170,d)].
% 0.83/1.11 180 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(174,c,169,d)].
% 0.83/1.11 181 -l3_lattices(c15) | v3_struct_0(c15) | -v13_lattices(c15) | v15_lattices(c15). [resolve(175,a,170,d)].
% 0.83/1.11 182 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(38)].
% 0.83/1.11 183 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(17)].
% 0.83/1.11 184 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m2_filter_2(k18_filter_2(A,B),A) # label(dt_k18_filter_2) # label(axiom). [clausify(18)].
% 0.83/1.12 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(182,d,183,d)].
% 0.83/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k18_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(182,d,184,e)].
% 0.83/1.12 185 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(38)].
% 0.83/1.12 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(185,d,183,d)].
% 0.83/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k18_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(185,d,184,e)].
% 0.83/1.12 186 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(f5(A),A) # label(existence_m2_filter_2) # label(axiom). [clausify(52)].
% 0.83/1.12 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(186,d,182,d)].
% 0.83/1.12 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(186,d,185,d)].
% 0.83/1.12 187 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(34)].
% 0.83/1.12 188 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(19)].
% 0.83/1.12 189 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_0(k2_filter_0(A,B),A) # label(dt_k2_filter_0) # label(axiom). [clausify(24)].
% 0.83/1.12 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(187,d,188,d)].
% 0.83/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_0(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(187,d,189,e)].
% 0.83/1.12 190 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(34)].
% 0.83/1.12 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(190,d,188,d)].
% 0.83/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(190,d,189,e)].
% 0.83/1.12 191 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f1(A),A) # label(existence_m1_filter_0) # label(axiom). [clausify(48)].
% 0.83/1.12 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(191,d,187,d)].
% 0.83/1.12 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(191,d,190,d)].
% 0.83/1.12 192 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)].
% 0.83/1.12 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(192,e,187,d)].
% 0.83/1.12 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(192,e,190,d)].
% 0.83/1.12 193 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)].
% 0.83/1.14 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(193,e,188,d)].
% 0.83/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k2_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(193,e,189,e)].
% 0.83/1.14 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(193,e,191,d)].
% 0.83/1.14 194 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(35)].
% 0.83/1.14 195 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(20)].
% 0.83/1.14 196 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_2(k2_filter_2(A,B),A) # label(dt_k2_filter_2) # label(axiom). [clausify(25)].
% 0.83/1.14 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(194,d,195,d)].
% 0.83/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(194,d,196,e)].
% 0.83/1.14 197 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(35)].
% 0.83/1.14 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(197,d,195,d)].
% 0.83/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(197,d,196,e)].
% 0.83/1.14 198 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f2(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(49)].
% 0.83/1.14 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(198,d,194,d)].
% 0.83/1.14 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(198,d,197,d)].
% 0.83/1.14 199 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(192,e,187,d)].
% 0.83/1.14 200 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(192,e,190,d)].
% 0.83/1.14 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(200,d,195,d)].
% 0.83/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(200,d,196,e)].
% 0.83/1.14 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(200,d,198,d)].
% 0.83/1.14 201 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(193,e,188,d)].
% 0.83/1.14 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(201,d,194,d)].
% 0.83/1.14 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(201,d,197,d)].
% 6.32/6.57 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(201,d,200,d)].
% 6.32/6.57 202 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k2_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(193,e,189,e)].
% 6.32/6.57 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_0(A,B)). [resolve(202,d,194,d)].
% 6.32/6.57 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_0(A,B),A). [resolve(202,d,197,d)].
% 6.32/6.57 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(202,d,200,d)].
% 6.32/6.57 203 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(193,e,191,d)].
% 6.32/6.57 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(203,d,194,d)].
% 6.32/6.57 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(203,d,197,d)].
% 6.32/6.57 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(203,d,200,d)].
% 6.32/6.57 204 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(56)].
% 6.32/6.57 205 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(30)].
% 6.32/6.57 206 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(32)].
% 6.32/6.57 207 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(45)].
% 6.32/6.57 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(204,b,205,b)].
% 6.32/6.57 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(204,b,206,b)].
% 6.32/6.57 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(204,b,207,a)].
% 6.32/6.57 208 l1_struct_0(c12) # label(rc3_struct_0) # label(axiom). [clausify(78)].
% 6.32/6.57 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(208,a,204,b)].
% 6.32/6.57 209 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(79)].
% 6.32/6.57 Derived: v3_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(209,b,205,b)].
% 6.32/6.57 Derived: v3_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(209,b,206,b)].
% 6.32/6.57 Derived: v3_struct_0(c2) | m1_subset_1(f13(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(209,b,207,a)].
% 6.32/6.57 Derived: v3_struct_0(c12) | m1_subset_1(f13(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(209,b,208,a)].
% 6.32/6.57 210 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f13(A)) # label(rc5_struct_0) # label(axiom). [clausify(79)].
% 6.32/6.57 Derived: v3_struct_0(A) | -v1_xboole_0(f13(A)) | -l1_lattices(A). [resolve(210,b,205,b)].
% 6.32/6.57 Derived: v3_struct_0(A) | -v1_xboole_0(f13(A)) | -l2_lattices(A). [resolve(210,b,206,b)].
% 6.32/6.57 Derived: v3_struct_0(c2) | -v1_xboole_0(f13(c2)). [resolve(210,b,207,a)].
% 6.61/6.88 Derived: v3_struct_0(c12) | -v1_xboole_0(f13(c12)). [resolve(210,b,208,a)].
% 6.61/6.88 211 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(53)].
% 6.61/6.88 212 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(39)].
% 6.61/6.88 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(211,d,212,d)].
% 6.61/6.88 213 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f10(A),A) # label(rc1_lattice4) # label(axiom). [clausify(70)].
% 6.61/6.88 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(213,d,212,d)].
% 6.61/6.88 214 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(185,d,183,d)].
% 6.61/6.88 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(214,d,212,d)].
% 6.61/6.88 215 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k18_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(185,d,184,e)].
% 6.61/6.88 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k18_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(215,d,212,d)].
% 6.61/6.88 216 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(186,d,185,d)].
% 6.61/6.88 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(216,g,212,d)].
% 6.61/6.88 217 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(197,d,195,d)].
% 6.61/6.88 218 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(197,d,196,e)].
% 6.61/6.88 219 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(198,d,197,d)].
% 6.61/6.88 220 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(201,d,197,d)].
% 6.61/6.88 221 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_0(A,B),A). [resolve(202,d,197,d)].
% 6.61/6.88 222 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(203,d,197,d)].
% 6.61/6.88 223 -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(41)].
% 6.61/6.88 224 -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(40)].
% 6.61/6.88 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(223,b,224,a)].
% 6.61/6.88 225 -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(43)].
% 8.03/8.28 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(225,b,224,a)].
% 8.03/8.28 226 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(54)].
% 8.03/8.28 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(226,a,224,a)].
% 8.03/8.28 227 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(85)].
% 8.03/8.28 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(227,a,223,b)].
% 8.03/8.28 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(227,a,225,b)].
% 8.03/8.28 Derived: m1_relset_1(f7(A,B),A,B). [resolve(227,a,226,a)].
% 8.03/8.28 228 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(85)].
% 8.03/8.28 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(228,a,224,a)].
% 8.03/8.28 229 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(97)].
% 8.03/8.28 230 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(89)].
% 8.03/8.28 231 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(97)].
% 8.03/8.28 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(229,b,230,a)].
% 8.03/8.28
% 8.03/8.28 ============================== end predicate elimination =============
% 8.03/8.28
% 8.03/8.28 Auto_denials: (non-Horn, no changes).
% 8.03/8.28
% 8.03/8.28 Term ordering decisions:
% 8.03/8.28 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. k2_zfmisc_1=1. k2_filter_0=1. a_2_0_filter_0=1. a_2_0_filter_2=1. k18_filter_2=1. k2_filter_2=1. k5_filter_2=1. f3=1. f7=1. f14=1. u1_struct_0=1. k1_lattice2=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. k1_filter_0=1. k5_lattices=1. k6_lattices=1. k17_filter_2=1. k1_filter_2=1. f1=1. f2=1. f4=1. f5=1. f6=1. f10=1. f11=1. f12=1. f13=1. g3_lattices=1. f8=1. f9=1.
% 8.03/8.28
% 8.03/8.28 ============================== end of process initial clauses ========
% 8.03/8.28
% 8.03/8.28 ============================== CLAUSES FOR SEARCH ====================
% 8.03/8.28
% 8.03/8.28 ============================== end of clauses for search =============
% 8.03/8.28
% 8.03/8.28 ============================== SEARCH ================================
% 8.03/8.28
% 8.03/8.28 % Starting search at 5.86 seconds.
% 8.03/8.28
% 8.03/8.28 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 178 (0.00 of 5.94 sec).
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=39.000, iters=3438
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=36.000, iters=3344
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=35.000, iters=3390
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=34.000, iters=3333
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=30.000, iters=3391
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=29.000, iters=3375
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=28.000, iters=3351
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=26.000, iters=3344
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=25.000, iters=3342
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=24.000, iters=3334
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=23.000, iters=3396
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=22.000, iters=3396
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=20.000, iters=3516
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=19.000, iters=3333
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=18.000, iters=3344
% 8.03/8.28
% 8.03/8.28 Low Water (keep): wt=17.000, iters=3394
% 8.03/8.28
% 8.03/8.28 ============================== PROOF =================================
% 8.03/8.28 % SZS status Theorem
% 8.03/8.28 % SZS output start Refutation
% 8.03/8.28
% 8.03/8.28 % Proof 1 at 7.22 (+ 0.02) seconds.
% 8.03/8.28 % Length of proof is 111.
% 8.03/8.28 % Level of proof is 12.
% 8.03/8.28 % Maximum clause weight is 20.000.
% 8.03/8.28 % Given clauses 3250.
% 8.03/8.28
% 8.03/8.28 10 (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].
% 8.03/8.28 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 14 (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].
% 8.03/8.28 15 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 18 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 21 (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].
% 8.03/8.28 27 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 28 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 29 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 32 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 33 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 38 (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].
% 8.03/8.28 39 (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].
% 8.03/8.28 55 (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].
% 8.03/8.28 56 (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].
% 8.03/8.28 64 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 83 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 86 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) <-> B = C))) # label(redefinition_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 89 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 92 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 93 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> k1_filter_0(A) = k2_filter_0(A,k5_lattices(A))))) # label(t20_filter_0) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 94 (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].
% 8.03/8.28 95 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 96 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 97 (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].
% 8.03/8.28 98 (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].
% 8.03/8.28 100 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) <-> v13_lattices(k1_lattice2(A))))) # label(t64_lattice2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 102 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> k6_lattices(A) = k5_lattices(k1_lattice2(A)))) # label(t79_lattice2) # label(axiom) # label(non_clause). [assumption].
% 8.03/8.28 105 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k17_filter_2(A),k18_filter_2(A,k6_lattices(A)))))) # label(t32_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 8.03/8.28 172 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(100)].
% 8.03/8.28 174 v3_struct_0(A) | -v10_lattices(A) | -v14_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) # label(t79_lattice2) # label(axiom). [clausify(102)].
% 8.03/8.28 175 v14_lattices(c15) # label(t32_filter_2) # label(negated_conjecture). [clausify(105)].
% 8.03/8.28 184 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m2_filter_2(k18_filter_2(A,B),A) # label(dt_k18_filter_2) # label(axiom). [clausify(18)].
% 8.03/8.28 185 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(38)].
% 8.03/8.28 204 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(56)].
% 8.03/8.28 206 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(32)].
% 8.03/8.28 212 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(39)].
% 8.03/8.28 215 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k18_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(185,d,184,e)].
% 8.03/8.28 229 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(97)].
% 8.03/8.28 230 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(89)].
% 8.03/8.28 236 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(10)].
% 8.03/8.28 240 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k5_filter_2(A,B) = B # label(d4_filter_2) # label(axiom). [clausify(13)].
% 8.03/8.28 241 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(14)].
% 8.03/8.28 242 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | a_2_0_filter_2(A,B) = k18_filter_2(A,B) # label(d9_filter_2) # label(axiom). [clausify(15)].
% 8.03/8.28 243 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k18_filter_2(A,B) = a_2_0_filter_2(A,B). [copy(242),flip(e)].
% 8.03/8.28 245 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(21)].
% 8.03/8.28 246 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) # label(dt_k5_filter_2) # label(axiom). [clausify(27)].
% 8.03/8.28 247 v3_struct_0(A) | -l1_lattices(A) | m1_subset_1(k5_lattices(A),u1_struct_0(A)) # label(dt_k5_lattices) # label(axiom). [clausify(28)].
% 8.03/8.28 248 v3_struct_0(A) | -l2_lattices(A) | m1_subset_1(k6_lattices(A),u1_struct_0(A)) # label(dt_k6_lattices) # label(axiom). [clausify(29)].
% 8.03/8.28 249 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(33)].
% 8.03/8.28 250 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(33)].
% 8.03/8.28 260 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(55)].
% 8.03/8.28 267 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 8.03/8.28 306 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k2_filter_2(A,B) = k2_filter_0(A,B) # label(redefinition_k2_filter_2) # label(axiom). [clausify(83)].
% 8.03/8.28 308 v1_xboole_0(A) | -m1_subset_1(B,k1_zfmisc_1(A)) | -m1_subset_1(C,k1_zfmisc_1(A)) | r1_filter_2(A,B,C) | C != B # label(redefinition_r1_filter_2) # label(axiom). [clausify(86)].
% 8.03/8.28 311 -r2_hidden(A,B) | m1_subset_1(A,B) # label(t1_subset) # label(axiom). [clausify(92)].
% 8.03/8.28 312 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | k2_filter_0(A,k5_lattices(A)) = k1_filter_0(A) # label(t20_filter_0) # label(axiom). [clausify(93)].
% 8.03/8.28 313 -m1_subset_1(A,B) | v1_xboole_0(B) | r2_hidden(A,B) # label(t2_subset) # label(axiom). [clausify(94)].
% 8.03/8.28 314 r2_hidden(f14(A,B),A) | r2_hidden(f14(A,B),B) | B = A # label(t2_tarski) # label(axiom). [clausify(95)].
% 8.03/8.28 315 -r2_hidden(f14(A,B),A) | -r2_hidden(f14(A,B),B) | B = A # label(t2_tarski) # label(axiom). [clausify(95)].
% 8.03/8.28 316 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k18_filter_2(A,B) # label(t30_filter_2) # label(axiom). [clausify(96)].
% 8.03/8.28 319 -r2_hidden(A,B) | -m1_subset_1(B,k1_zfmisc_1(C)) | m1_subset_1(A,C) # label(t4_subset) # label(axiom). [clausify(98)].
% 8.03/8.28 324 -v3_struct_0(c15) # label(t32_filter_2) # label(negated_conjecture). [clausify(105)].
% 8.03/8.28 325 v10_lattices(c15) # label(t32_filter_2) # label(negated_conjecture). [clausify(105)].
% 8.03/8.28 326 l3_lattices(c15) # label(t32_filter_2) # label(negated_conjecture). [clausify(105)].
% 8.03/8.28 327 -r1_filter_2(u1_struct_0(c15),k17_filter_2(c15),k18_filter_2(c15,k6_lattices(c15))) # label(t32_filter_2) # label(negated_conjecture). [clausify(105)].
% 8.03/8.28 377 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v13_lattices(k1_lattice2(c15)). [resolve(175,a,172,d)].
% 8.03/8.28 378 v13_lattices(k1_lattice2(c15)). [copy(377),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 379 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | k6_lattices(c15) = k5_lattices(k1_lattice2(c15)). [resolve(175,a,174,c)].
% 8.03/8.28 380 k5_lattices(k1_lattice2(c15)) = k6_lattices(c15). [copy(379),flip(d),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 419 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(204,b,206,b)].
% 8.03/8.28 439 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k18_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(215,d,212,d)].
% 8.03/8.28 440 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_subset_1(k18_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [copy(439),merge(d),merge(e),merge(f),merge(h),merge(i),merge(j)].
% 8.03/8.28 450 m1_subset_1(A,k1_zfmisc_1(A)). [resolve(229,b,230,a)].
% 8.03/8.28 550 r2_hidden(f14(A,B),B) | B = A | m1_subset_1(f14(A,B),A). [resolve(314,a,311,a)].
% 8.03/8.28 582 v10_lattices(k1_lattice2(c15)). [resolve(325,a,267,b),unit_del(a,324),unit_del(b,326)].
% 8.03/8.28 585 k17_filter_2(c15) = u1_struct_0(c15). [resolve(325,a,241,b),unit_del(a,324),unit_del(b,326)].
% 8.03/8.28 589 -r1_filter_2(u1_struct_0(c15),u1_struct_0(c15),k18_filter_2(c15,k6_lattices(c15))). [back_rewrite(327),rewrite([585(4)])].
% 8.03/8.28 591 -v3_struct_0(k1_lattice2(c15)). [resolve(326,a,260,b),unit_del(a,324)].
% 8.03/8.28 592 l2_lattices(c15). [resolve(326,a,250,a)].
% 8.03/8.28 594 l3_lattices(k1_lattice2(c15)). [resolve(326,a,245,a)].
% 8.03/8.28 600 k2_filter_0(k1_lattice2(c15),k6_lattices(c15)) = k1_filter_0(k1_lattice2(c15)). [resolve(378,a,312,d),rewrite([380(14)]),unit_del(a,591),unit_del(b,582),unit_del(c,594)].
% 8.03/8.28 662 v1_xboole_0(A) | -m1_subset_1(B,k1_zfmisc_1(A)) | r1_filter_2(A,A,B) | B != A. [resolve(450,a,308,b)].
% 8.03/8.28 757 -v1_xboole_0(u1_struct_0(c15)). [resolve(592,a,419,c),unit_del(a,324)].
% 8.03/8.28 760 m1_subset_1(k6_lattices(c15),u1_struct_0(c15)). [resolve(592,a,248,b),unit_del(a,324)].
% 8.03/8.28 857 k1_filter_0(k1_lattice2(c15)) = u1_struct_0(k1_lattice2(c15)). [resolve(582,a,236,b),unit_del(a,591),unit_del(b,594)].
% 8.03/8.28 859 k2_filter_0(k1_lattice2(c15),k6_lattices(c15)) = u1_struct_0(k1_lattice2(c15)). [back_rewrite(600),rewrite([857(8)])].
% 8.03/8.28 862 l2_lattices(k1_lattice2(c15)). [resolve(594,a,250,a)].
% 8.03/8.28 863 l1_lattices(k1_lattice2(c15)). [resolve(594,a,249,a)].
% 8.03/8.28 965 -v1_xboole_0(u1_struct_0(k1_lattice2(c15))). [resolve(862,a,419,c),unit_del(a,591)].
% 8.03/8.28 974 m1_subset_1(k6_lattices(c15),u1_struct_0(k1_lattice2(c15))). [resolve(863,a,247,b),rewrite([380(6)]),unit_del(a,591)].
% 8.03/8.28 1282 m1_subset_1(k18_filter_2(c15,k6_lattices(c15)),k1_zfmisc_1(u1_struct_0(c15))). [resolve(760,a,440,d),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 1289 k2_filter_2(k1_lattice2(c15),k5_filter_2(c15,k6_lattices(c15))) = k18_filter_2(c15,k6_lattices(c15)). [resolve(760,a,316,d),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 1293 k18_filter_2(c15,k6_lattices(c15)) = a_2_0_filter_2(c15,k6_lattices(c15)). [resolve(760,a,243,d),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 1294 k5_filter_2(c15,k6_lattices(c15)) = k6_lattices(c15). [resolve(760,a,240,d),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 1297 k2_filter_2(k1_lattice2(c15),k6_lattices(c15)) = a_2_0_filter_2(c15,k6_lattices(c15)). [back_rewrite(1289),rewrite([1294(6),1293(9)])].
% 8.03/8.28 1299 m1_subset_1(a_2_0_filter_2(c15,k6_lattices(c15)),k1_zfmisc_1(u1_struct_0(c15))). [back_rewrite(1282),rewrite([1293(4)])].
% 8.03/8.28 1300 -r1_filter_2(u1_struct_0(c15),u1_struct_0(c15),a_2_0_filter_2(c15,k6_lattices(c15))). [back_rewrite(589),rewrite([1293(8)])].
% 8.03/8.28 1446 A = B | m1_subset_1(f14(B,A),B) | -m1_subset_1(A,k1_zfmisc_1(C)) | m1_subset_1(f14(B,A),C). [resolve(550,a,319,a)].
% 8.03/8.28 1859 a_2_0_filter_2(c15,k6_lattices(c15)) = u1_struct_0(k1_lattice2(c15)). [resolve(974,a,306,d),rewrite([1297(14),859(18)]),unit_del(a,591),unit_del(b,582),unit_del(c,594)].
% 8.03/8.28 1870 -r1_filter_2(u1_struct_0(c15),u1_struct_0(c15),u1_struct_0(k1_lattice2(c15))). [back_rewrite(1300),rewrite([1859(8)])].
% 8.03/8.28 1871 m1_subset_1(u1_struct_0(k1_lattice2(c15)),k1_zfmisc_1(u1_struct_0(c15))). [back_rewrite(1299),rewrite([1859(4)])].
% 8.03/8.28 3810 u1_struct_0(k1_lattice2(c15)) != u1_struct_0(c15). [resolve(662,b,1871,a),unit_del(a,757),unit_del(b,1870)].
% 8.03/8.28 12202 u1_struct_0(k1_lattice2(c15)) = A | m1_subset_1(f14(A,u1_struct_0(k1_lattice2(c15))),A) | m1_subset_1(f14(A,u1_struct_0(k1_lattice2(c15))),u1_struct_0(c15)). [resolve(1446,c,1871,a)].
% 8.03/8.28 12337 m1_subset_1(f14(u1_struct_0(c15),u1_struct_0(k1_lattice2(c15))),u1_struct_0(c15)). [factor(12202,b,c),unit_del(a,3810)].
% 8.03/8.28 12461 r2_hidden(f14(u1_struct_0(c15),u1_struct_0(k1_lattice2(c15))),u1_struct_0(c15)). [resolve(12337,a,313,a),unit_del(a,757)].
% 8.03/8.28 12463 m1_subset_1(k5_filter_2(c15,f14(u1_struct_0(c15),u1_struct_0(k1_lattice2(c15)))),u1_struct_0(k1_lattice2(c15))). [resolve(12337,a,246,d),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 12465 k5_filter_2(c15,f14(u1_struct_0(c15),u1_struct_0(k1_lattice2(c15)))) = f14(u1_struct_0(c15),u1_struct_0(k1_lattice2(c15))). [resolve(12337,a,240,d),unit_del(a,324),unit_del(b,325),unit_del(c,326)].
% 8.03/8.28 12469 m1_subset_1(f14(u1_struct_0(c15),u1_struct_0(k1_lattice2(c15))),u1_struct_0(k1_lattice2(c15))). [back_rewrite(12463),rewrite([12465(8)])].
% 8.03/8.28 12471 -r2_hidden(f14(u1_struct_0(c15),u1_struct_0(k1_lattice2(c15))),u1_struct_0(k1_lattice2(c15))). [resolve(12461,a,315,a),unit_del(b,3810)].
% 8.03/8.28 12547 $F. [resolve(12469,a,313,a),unit_del(a,965),unit_del(b,12471)].
% 8.03/8.28
% 8.03/8.28 % SZS output end Refutation
% 8.03/8.28 ============================== end of proof ==========================
% 8.03/8.28
% 8.03/8.28 ============================== STATISTICS ============================
% 8.03/8.28
% 8.03/8.28 Given=3250. Generated=23746. Kept=12252. proofs=1.
% 8.03/8.28 Usable=3232. Sos=7360. Demods=1334. Limbo=9, Disabled=1993. Hints=0.
% 8.03/8.28 Megabytes=17.70.
% 8.03/8.28 User_CPU=7.23, System_CPU=0.02, Wall_clock=7.
% 8.03/8.28
% 8.03/8.28 ============================== end of statistics =====================
% 8.03/8.28
% 8.03/8.28 ============================== end of search =========================
% 8.03/8.28
% 8.03/8.28 THEOREM PROVED
% 8.03/8.28 % SZS status Theorem
% 8.03/8.28
% 8.03/8.28 Exiting with 1 proof.
% 8.03/8.28
% 8.03/8.28 Process 5922 exit (max_proofs) Wed Jun 29 15:14:15 2022
% 8.03/8.28 Prover9 interrupted
%------------------------------------------------------------------------------