TSTP Solution File: LAT307+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT307+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:27:15 EDT 2022
% Result : Theorem 8.24s 8.52s
% Output : Refutation 8.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT307+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 21:59:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.06 ============================== Prover9 ===============================
% 0.44/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.06 Process 28417 was started by sandbox2 on n007.cluster.edu,
% 0.44/1.06 Tue Jun 28 21:59:52 2022
% 0.44/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28263_n007.cluster.edu".
% 0.44/1.06 ============================== end of head ===========================
% 0.44/1.06
% 0.44/1.06 ============================== INPUT =================================
% 0.44/1.06
% 0.44/1.06 % Reading from file /tmp/Prover9_28263_n007.cluster.edu
% 0.44/1.06
% 0.44/1.06 set(prolog_style_variables).
% 0.44/1.06 set(auto2).
% 0.44/1.06 % set(auto2) -> set(auto).
% 0.44/1.06 % set(auto) -> set(auto_inference).
% 0.44/1.06 % set(auto) -> set(auto_setup).
% 0.44/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.06 % set(auto) -> set(auto_limits).
% 0.44/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.06 % set(auto) -> set(auto_denials).
% 0.44/1.06 % set(auto) -> set(auto_process).
% 0.44/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.06 % set(auto2) -> assign(stats, some).
% 0.44/1.06 % set(auto2) -> clear(echo_input).
% 0.44/1.06 % set(auto2) -> set(quiet).
% 0.44/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.06 % set(auto2) -> clear(print_given).
% 0.44/1.06 assign(lrs_ticks,-1).
% 0.44/1.06 assign(sos_limit,10000).
% 0.44/1.06 assign(order,kbo).
% 0.44/1.06 set(lex_order_vars).
% 0.44/1.06 clear(print_given).
% 0.44/1.06
% 0.44/1.06 % formulas(sos). % not echoed (91 formulas)
% 0.44/1.06
% 0.44/1.06 ============================== end of input ==========================
% 0.44/1.06
% 0.44/1.06 % From the command line: assign(max_seconds, 300).
% 0.44/1.06
% 0.44/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.06
% 0.44/1.06 % Formulas that are not ordinary clauses:
% 0.44/1.06 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].
% 0.44/1.06 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 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].
% 0.44/1.06 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].
% 0.44/1.06 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].
% 0.44/1.06 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].
% 0.44/1.06 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].
% 0.44/1.06 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].
% 0.44/1.06 10 (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].
% 0.44/1.06 11 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k8_filter_2(A,B) = B)))) # label(d7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 13 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 14 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) -> m2_filter_2(k14_filter_2(A,B),A))) # label(dt_k14_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 15 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))) # label(dt_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 16 (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].
% 0.44/1.06 17 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 18 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 19 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 20 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 21 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> m1_subset_1(k8_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k8_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 22 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 23 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 24 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 25 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 26 (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].
% 0.44/1.06 27 (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].
% 0.44/1.06 28 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 29 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 30 (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].
% 0.44/1.06 31 (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].
% 0.44/1.06 32 (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].
% 0.44/1.06 33 (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].
% 0.44/1.06 34 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 35 (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].
% 0.44/1.06 36 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 37 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 38 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 39 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 40 (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].
% 0.44/1.06 41 (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].
% 0.44/1.06 42 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 43 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 44 (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].
% 0.44/1.06 45 (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].
% 0.44/1.06 46 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 47 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 48 (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].
% 0.44/1.06 49 (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].
% 0.44/1.06 50 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 51 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> -v1_xboole_0(k8_filter_2(A,B)))) # label(fc2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 52 (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].
% 0.44/1.06 53 (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].
% 0.44/1.06 54 (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].
% 0.44/1.06 55 (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].
% 0.44/1.06 56 (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].
% 0.44/1.06 57 (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].
% 0.44/1.06 58 (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].
% 0.44/1.06 59 (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].
% 0.44/1.06 60 (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].
% 0.44/1.06 61 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 62 (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].
% 0.44/1.06 63 (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].
% 0.44/1.06 64 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 65 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 66 (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].
% 0.44/1.06 67 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 68 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 69 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 70 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 71 (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].
% 0.44/1.06 72 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 73 (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].
% 0.44/1.06 74 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) -> k14_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k14_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 75 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> k15_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 76 (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].
% 0.44/1.06 77 (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].
% 0.44/1.06 78 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 79 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 80 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v13_lattices(A) -> (all B (m1_filter_0(B,A) -> -(B != u1_struct_0(A) & (all C (m1_filter_0(C,A) -> -(r1_tarski(B,C) & v1_filter_0(C,A)))))))))) # label(t22_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 81 (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].
% 0.44/1.06 82 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t33_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 83 (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].
% 0.44/1.06 84 (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].
% 0.44/1.06 85 (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].
% 0.44/1.06 86 (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].
% 0.44/1.06 87 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 88 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 89 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.06 90 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) -> (all B (m2_filter_2(B,A) -> -(B != u1_struct_0(A) & (all C (m2_filter_2(C,A) -> -(r1_tarski(B,C) & r2_filter_2(A,C)))))))))) # label(t34_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.44/1.06
% 0.44/1.06 ============================== end of process non-clausal formulas ===
% 0.44/1.06
% 0.44/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/1.06
% 0.44/1.06 ============================== PREDICATE ELIMINATION =================
% 0.44/1.06 91 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_lattices(g3_lattices(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(13)].
% 0.44/1.07 92 -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)].
% 0.44/1.07 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(91,g,92,b)].
% 0.44/1.07 93 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(16)].
% 0.44/1.07 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(93,b,92,b)].
% 0.44/1.07 94 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(48)].
% 0.44/1.07 95 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(54)].
% 0.44/1.07 96 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(58)].
% 0.44/1.07 97 v3_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.44/1.07 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(97,a,92,b)].
% 0.44/1.07 98 v3_lattices(c11) # label(rc3_lattices) # label(axiom). [clausify(69)].
% 0.44/1.07 Derived: -l3_lattices(c11) | g3_lattices(u1_struct_0(c11),u2_lattices(c11),u1_lattices(c11)) = c11. [resolve(98,a,92,b)].
% 0.44/1.07 99 v3_lattices(c13) # label(rc6_lattices) # label(axiom). [clausify(72)].
% 0.44/1.07 Derived: -l3_lattices(c13) | g3_lattices(u1_struct_0(c13),u2_lattices(c13),u1_lattices(c13)) = c13. [resolve(99,a,92,b)].
% 0.44/1.07 100 v3_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(73)].
% 0.44/1.07 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(100,a,92,b)].
% 0.44/1.07 101 -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)].
% 0.44/1.07 102 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.44/1.07 103 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(52)].
% 0.44/1.07 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(103,b,102,d)].
% 0.44/1.07 104 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(52)].
% 0.44/1.07 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(104,b,102,d)].
% 0.44/1.07 105 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(52)].
% 0.44/1.07 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(105,b,102,d)].
% 0.44/1.07 106 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(52)].
% 0.44/1.07 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(106,b,102,d)].
% 0.44/1.07 107 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(52)].
% 0.44/1.07 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(107,b,102,d)].
% 0.44/1.07 108 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(58)].
% 0.44/1.07 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(108,d,103,b)].
% 0.44/1.07 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(108,d,104,b)].
% 0.44/1.07 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(108,d,105,b)].
% 0.44/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(108,d,106,b)].
% 0.44/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_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(108,d,107,b)].
% 0.44/1.08 109 v4_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.44/1.08 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(109,a,103,b)].
% 0.44/1.08 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(109,a,104,b)].
% 0.44/1.08 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(109,a,105,b)].
% 0.44/1.08 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(109,a,106,b)].
% 0.44/1.08 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(109,a,107,b)].
% 0.44/1.08 110 v4_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(73)].
% 0.44/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_relat_1(u2_lattices(c14)). [resolve(110,a,103,b)].
% 0.44/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_funct_1(u2_lattices(c14)). [resolve(110,a,104,b)].
% 0.44/1.08 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(110,a,105,b)].
% 0.44/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_binop_1(u2_lattices(c14),u1_struct_0(c14)). [resolve(110,a,106,b)].
% 0.44/1.08 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(110,a,107,b)].
% 0.44/1.08 111 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(53)].
% 0.44/1.08 112 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.44/1.08 113 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(53)].
% 0.44/1.08 114 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(53)].
% 0.44/1.08 115 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(53)].
% 0.44/1.08 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(115,b,112,d)].
% 0.44/1.08 116 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(53)].
% 0.44/1.08 117 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(58)].
% 0.44/1.08 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(117,d,115,b)].
% 0.44/1.08 118 v5_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.44/1.08 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(118,a,115,b)].
% 0.44/1.08 119 v5_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(73)].
% 0.44/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v2_binop_1(u2_lattices(c14),u1_struct_0(c14)). [resolve(119,a,115,b)].
% 0.44/1.08 120 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(55)].
% 0.44/1.08 121 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.44/1.08 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(120,b,121,d)].
% 0.44/1.08 122 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(55)].
% 0.44/1.08 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(122,b,121,d)].
% 0.44/1.08 123 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(55)].
% 0.44/1.08 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(123,b,121,d)].
% 0.44/1.08 124 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(55)].
% 0.44/1.08 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(124,b,121,d)].
% 0.44/1.08 125 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(55)].
% 0.44/1.08 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(125,b,121,d)].
% 0.44/1.08 126 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(58)].
% 0.44/1.08 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(126,d,120,b)].
% 0.44/1.08 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(126,d,122,b)].
% 0.44/1.08 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(126,d,123,b)].
% 0.44/1.08 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(126,d,124,b)].
% 0.44/1.08 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(126,d,125,b)].
% 0.44/1.08 127 v6_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.44/1.08 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(127,a,120,b)].
% 0.44/1.08 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(127,a,122,b)].
% 0.44/1.08 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(127,a,123,b)].
% 0.44/1.08 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(127,a,124,b)].
% 0.44/1.08 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(127,a,125,b)].
% 0.44/1.08 128 v6_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(73)].
% 0.44/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_relat_1(u1_lattices(c14)). [resolve(128,a,120,b)].
% 0.44/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_funct_1(u1_lattices(c14)). [resolve(128,a,122,b)].
% 0.44/1.08 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(128,a,123,b)].
% 0.80/1.09 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_binop_1(u1_lattices(c14),u1_struct_0(c14)). [resolve(128,a,124,b)].
% 0.80/1.09 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(128,a,125,b)].
% 0.80/1.09 129 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(57)].
% 0.80/1.09 130 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.80/1.09 131 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(57)].
% 0.80/1.09 132 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(57)].
% 0.80/1.09 133 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(57)].
% 0.80/1.09 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(133,b,130,d)].
% 0.80/1.09 134 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(57)].
% 0.80/1.09 135 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(58)].
% 0.80/1.09 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(135,d,133,b)].
% 0.80/1.09 136 v7_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.80/1.09 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(136,a,133,b)].
% 0.80/1.09 137 v7_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(73)].
% 0.80/1.09 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v2_binop_1(u1_lattices(c14),u1_struct_0(c14)). [resolve(137,a,133,b)].
% 0.80/1.09 138 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.80/1.09 139 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.80/1.09 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(138,a,139,b)].
% 0.80/1.09 140 v1_relat_1(c6) # label(rc1_funct_1) # label(axiom). [clausify(61)].
% 0.80/1.09 Derived: -v1_xboole_0(c6) | -v1_funct_1(c6) | v2_funct_1(c6). [resolve(140,a,138,a)].
% 0.80/1.09 141 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(65)].
% 0.80/1.09 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(141,a,138,a)].
% 0.80/1.09 142 v1_relat_1(c10) # label(rc3_funct_1) # label(axiom). [clausify(68)].
% 0.80/1.09 143 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(103,b,102,d)].
% 0.80/1.09 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(143,c,138,a)].
% 0.80/1.09 144 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(108,d,103,b)].
% 0.80/1.09 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(144,f,138,a)].
% 0.80/1.09 145 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(109,a,103,b)].
% 0.80/1.09 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(145,c,138,a)].
% 0.80/1.09 146 v3_struct_0(c14) | -l2_lattices(c14) | v1_relat_1(u2_lattices(c14)). [resolve(110,a,103,b)].
% 0.80/1.10 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(146,c,138,a)].
% 0.80/1.10 147 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(120,b,121,d)].
% 0.80/1.10 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(147,c,138,a)].
% 0.80/1.10 148 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(126,d,120,b)].
% 0.80/1.10 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(148,f,138,a)].
% 0.80/1.10 149 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(127,a,120,b)].
% 0.80/1.10 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(149,c,138,a)].
% 0.80/1.10 150 v3_struct_0(c14) | -l1_lattices(c14) | v1_relat_1(u1_lattices(c14)). [resolve(128,a,120,b)].
% 0.80/1.10 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(150,c,138,a)].
% 0.80/1.10 151 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v14_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.80/1.10 152 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.80/1.10 153 v14_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.80/1.10 154 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(86)].
% 0.80/1.10 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(154,d,151,d)].
% 0.80/1.10 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v13_lattices(k1_lattice2(c5)). [resolve(154,d,153,a)].
% 0.80/1.10 155 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v14_lattices(A) | -v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(86)].
% 0.80/1.10 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(155,d,152,d)].
% 0.80/1.10 156 v14_lattices(c15) # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 0.80/1.10 Derived: -l3_lattices(c15) | v3_struct_0(c15) | -v13_lattices(c15) | v15_lattices(c15). [resolve(156,a,152,d)].
% 0.80/1.10 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v13_lattices(k1_lattice2(c15)). [resolve(156,a,154,d)].
% 0.80/1.10 157 v15_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.80/1.10 158 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.80/1.10 Derived: -l3_lattices(c5) | v3_struct_0(c5) | v13_lattices(c5). [resolve(157,a,158,c)].
% 0.80/1.10 159 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(154,d,151,d)].
% 0.80/1.10 160 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(155,d,152,d)].
% 0.80/1.10 161 -l3_lattices(c15) | v3_struct_0(c15) | -v13_lattices(c15) | v15_lattices(c15). [resolve(156,a,152,d)].
% 0.80/1.10 162 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(27)].
% 0.80/1.10 163 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) # label(dt_k15_filter_2) # label(axiom). [clausify(15)].
% 0.80/1.11 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -v1_xboole_0(k15_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(162,d,163,e)].
% 0.80/1.11 164 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(27)].
% 0.80/1.11 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m2_lattice4(k15_filter_2(A,B),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(164,d,163,e)].
% 0.80/1.11 165 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f2(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(41)].
% 0.80/1.11 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(165,d,162,d)].
% 0.80/1.11 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(165,d,164,d)].
% 0.80/1.11 166 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(76)].
% 0.80/1.11 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(166,d,163,e)].
% 0.80/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f2(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(166,d,165,d)].
% 0.80/1.11 167 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(B,A) | -m1_filter_0(B,A) # label(redefinition_m1_filter_2) # label(axiom). [clausify(76)].
% 0.80/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(B). [resolve(167,d,162,d)].
% 0.80/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(B,A). [resolve(167,d,164,d)].
% 0.80/1.11 168 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(49)].
% 0.80/1.11 169 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(22)].
% 0.80/1.11 170 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(24)].
% 0.80/1.11 171 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(37)].
% 0.80/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(168,b,169,b)].
% 0.80/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(168,b,170,b)].
% 0.80/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(168,b,171,a)].
% 0.80/1.11 172 l1_struct_0(c12) # label(rc3_struct_0) # label(axiom). [clausify(70)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(172,a,168,b)].
% 0.80/1.11 173 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(71)].
% 0.80/1.11 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(173,b,169,b)].
% 0.80/1.11 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(173,b,170,b)].
% 0.80/1.11 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(173,b,171,a)].
% 0.80/1.11 Derived: v3_struct_0(c12) | m1_subset_1(f11(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(173,b,172,a)].
% 0.80/1.11 174 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(71)].
% 0.80/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_lattices(A). [resolve(174,b,169,b)].
% 0.80/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l2_lattices(A). [resolve(174,b,170,b)].
% 0.80/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(174,b,171,a)].
% 0.80/1.11 Derived: v3_struct_0(c12) | -v1_xboole_0(f11(c12)). [resolve(174,b,172,a)].
% 0.80/1.12 175 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(31)].
% 0.80/1.12 176 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(30)].
% 0.80/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(175,d,176,e)].
% 0.80/1.12 177 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(45)].
% 0.80/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(177,d,175,d)].
% 0.80/1.12 178 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f8(A),A) # label(rc1_lattice4) # label(axiom). [clausify(62)].
% 0.80/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(178,d,175,d)].
% 0.80/1.12 179 v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m2_lattice4(k15_filter_2(A,B),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(164,d,163,e)].
% 0.80/1.12 Derived: v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m1_subset_1(k15_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))). [resolve(179,d,175,d)].
% 0.80/1.12 180 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(165,d,164,d)].
% 0.80/1.12 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(f2(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(180,g,175,d)].
% 0.80/1.12 181 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(B,A). [resolve(167,d,164,d)].
% 0.80/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(181,h,175,d)].
% 0.80/1.12 182 -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(33)].
% 0.80/1.12 183 -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(32)].
% 0.80/1.12 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(182,b,183,a)].
% 0.80/1.12 184 -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(35)].
% 0.80/1.12 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(184,b,183,a)].
% 0.80/1.12 185 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(46)].
% 0.80/1.12 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(185,a,183,a)].
% 0.80/1.12 186 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(77)].
% 0.80/1.12 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(186,a,182,b)].
% 0.80/1.12 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(186,a,184,b)].
% 0.80/1.12 Derived: m1_relset_1(f7(A,B),A,B). [resolve(186,a,185,a)].
% 0.80/1.15 187 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(77)].
% 0.80/1.15 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(187,a,183,a)].
% 0.80/1.15 188 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | -m1_filter_0(B,A) | u1_struct_0(A) = B | m1_filter_0(f12(A,B),A) # label(t22_filter_0) # label(axiom). [clausify(80)].
% 0.80/1.15 189 v13_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(60)].
% 0.80/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_filter_0(A,c5) | u1_struct_0(c5) = A | m1_filter_0(f12(c5,A),c5). [resolve(188,d,189,a)].
% 0.80/1.15 190 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | -m1_filter_0(B,A) | u1_struct_0(A) = B | r1_tarski(B,f12(A,B)) # label(t22_filter_0) # label(axiom). [clausify(80)].
% 0.80/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_filter_0(A,c5) | u1_struct_0(c5) = A | r1_tarski(A,f12(c5,A)). [resolve(190,d,189,a)].
% 0.80/1.15 191 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | -m1_filter_0(B,A) | u1_struct_0(A) = B | v1_filter_0(f12(A,B),A) # label(t22_filter_0) # label(axiom). [clausify(80)].
% 0.80/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | -m1_filter_0(A,c5) | u1_struct_0(c5) = A | v1_filter_0(f12(c5,A),c5). [resolve(191,d,189,a)].
% 0.80/1.15 192 v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v13_lattices(k1_lattice2(c5)). [resolve(154,d,153,a)].
% 0.80/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v3_struct_0(k1_lattice2(c5)) | -v10_lattices(k1_lattice2(c5)) | -l3_lattices(k1_lattice2(c5)) | -m1_filter_0(A,k1_lattice2(c5)) | u1_struct_0(k1_lattice2(c5)) = A | m1_filter_0(f12(k1_lattice2(c5),A),k1_lattice2(c5)). [resolve(192,d,188,d)].
% 0.80/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v3_struct_0(k1_lattice2(c5)) | -v10_lattices(k1_lattice2(c5)) | -l3_lattices(k1_lattice2(c5)) | -m1_filter_0(A,k1_lattice2(c5)) | u1_struct_0(k1_lattice2(c5)) = A | r1_tarski(A,f12(k1_lattice2(c5),A)). [resolve(192,d,190,d)].
% 0.80/1.15 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v3_struct_0(k1_lattice2(c5)) | -v10_lattices(k1_lattice2(c5)) | -l3_lattices(k1_lattice2(c5)) | -m1_filter_0(A,k1_lattice2(c5)) | u1_struct_0(k1_lattice2(c5)) = A | v1_filter_0(f12(k1_lattice2(c5),A),k1_lattice2(c5)). [resolve(192,d,191,d)].
% 0.80/1.15 193 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v13_lattices(k1_lattice2(c15)). [resolve(156,a,154,d)].
% 0.80/1.15 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | m1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [resolve(193,d,188,d)].
% 0.80/1.15 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | r1_tarski(A,f12(k1_lattice2(c15),A)). [resolve(193,d,190,d)].
% 0.80/1.15 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | v1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [resolve(193,d,191,d)].
% 0.80/1.15 194 -l3_lattices(c5) | v3_struct_0(c5) | v13_lattices(c5). [resolve(157,a,158,c)].
% 0.80/1.15
% 0.80/1.15 ============================== end predicate elimination =============
% 0.80/1.15
% 0.80/1.15 Auto_denials: (non-Horn, no changes).
% 0.80/1.15
% 0.80/1.15 Term ordering decisions:
% 0.80/1.15 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. k2_zfmisc_1=1. k15_filter_2=1. k7_filter_2=1. k8_filter_2=1. k14_filter_2=1. f3=1. f7=1. f12=1. k1_lattice2=1. u1_struct_0=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. f1=1. f2=1. f4=1. f5=1. f6=1. f8=1. f9=1. f10=1. f11=1. g3_lattices=1.
% 0.80/1.15
% 0.80/1.15 ============================== end of process initial clauses ========
% 8.24/8.52
% 8.24/8.52 ============================== CLAUSES FOR SEARCH ====================
% 8.24/8.52
% 8.24/8.52 ============================== end of clauses for search =============
% 8.24/8.52
% 8.24/8.52 ============================== SEARCH ================================
% 8.24/8.52
% 8.24/8.52 % Starting search at 0.11 seconds.
% 8.24/8.52
% 8.24/8.52 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.19 sec).
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=81.000, iters=3721
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=62.000, iters=3460
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=58.000, iters=3352
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=57.000, iters=3352
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=44.000, iters=3364
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=42.000, iters=3371
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=41.000, iters=3339
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=39.000, iters=3442
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=35.000, iters=3386
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=25.000, iters=3342
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=24.000, iters=3375
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=23.000, iters=3475
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=22.000, iters=3334
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=21.000, iters=3407
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=20.000, iters=3520
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=19.000, iters=3448
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=18.000, iters=3429
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=17.000, iters=3391
% 8.24/8.52
% 8.24/8.52 Low Water (keep): wt=16.000, iters=3373
% 8.24/8.52
% 8.24/8.52 ============================== PROOF =================================
% 8.24/8.52 % SZS status Theorem
% 8.24/8.52 % SZS output start Refutation
% 8.24/8.52
% 8.24/8.52 % Proof 1 at 7.45 (+ 0.03) seconds.
% 8.24/8.52 % Length of proof is 129.
% 8.24/8.52 % Level of proof is 14.
% 8.24/8.52 % Maximum clause weight is 40.000.
% 8.24/8.52 % Given clauses 7816.
% 8.24/8.52
% 8.24/8.52 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].
% 8.24/8.52 10 (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].
% 8.24/8.52 11 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k8_filter_2(A,B) = B)))) # label(d7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 14 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) -> m2_filter_2(k14_filter_2(A,B),A))) # label(dt_k14_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 15 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)))) # label(dt_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 16 (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].
% 8.24/8.52 25 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 26 (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].
% 8.24/8.52 30 (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].
% 8.24/8.52 31 (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].
% 8.24/8.52 33 (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].
% 8.24/8.52 35 (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].
% 8.24/8.52 48 (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].
% 8.24/8.52 58 (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].
% 8.24/8.52 59 (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].
% 8.24/8.52 74 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_filter_0(B,k1_lattice2(A)) -> k14_filter_2(A,B) = k8_filter_2(A,B))) # label(redefinition_k14_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 75 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m2_filter_2(B,A) -> k15_filter_2(A,B) = k7_filter_2(A,B))) # label(redefinition_k15_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 76 (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].
% 8.24/8.52 77 (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].
% 8.24/8.52 80 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v13_lattices(A) -> (all B (m1_filter_0(B,A) -> -(B != u1_struct_0(A) & (all C (m1_filter_0(C,A) -> -(r1_tarski(B,C) & v1_filter_0(C,A)))))))))) # label(t22_filter_0) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 82 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (r2_filter_2(A,B) <-> v1_filter_0(k15_filter_2(A,B),k1_lattice2(A))))))) # label(t33_filter_2) # label(axiom) # label(non_clause). [assumption].
% 8.24/8.52 86 (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].
% 8.24/8.52 90 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) -> (all B (m2_filter_2(B,A) -> -(B != u1_struct_0(A) & (all C (m2_filter_2(C,A) -> -(r1_tarski(B,C) & r2_filter_2(A,C)))))))))) # label(t34_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 8.24/8.52 92 -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)].
% 8.24/8.52 93 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(16)].
% 8.24/8.52 154 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(86)].
% 8.24/8.52 156 v14_lattices(c15) # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 8.24/8.52 163 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) # label(dt_k15_filter_2) # label(axiom). [clausify(15)].
% 8.24/8.52 166 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(76)].
% 8.24/8.52 175 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(31)].
% 8.24/8.52 176 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(30)].
% 8.24/8.52 182 -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(33)].
% 8.24/8.52 184 -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(35)].
% 8.24/8.52 186 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(77)].
% 8.24/8.52 188 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | -m1_filter_0(B,A) | u1_struct_0(A) = B | m1_filter_0(f12(A,B),A) # label(t22_filter_0) # label(axiom). [clausify(80)].
% 8.24/8.52 190 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | -m1_filter_0(B,A) | u1_struct_0(A) = B | r1_tarski(B,f12(A,B)) # label(t22_filter_0) # label(axiom). [clausify(80)].
% 8.24/8.52 191 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | -m1_filter_0(B,A) | u1_struct_0(A) = B | v1_filter_0(f12(A,B),A) # label(t22_filter_0) # label(axiom). [clausify(80)].
% 8.24/8.52 193 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v13_lattices(k1_lattice2(c15)). [resolve(156,a,154,d)].
% 8.24/8.52 197 -l3_lattices(A) | k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) # label(d2_lattice2) # label(axiom). [clausify(10)].
% 8.24/8.52 198 -l3_lattices(A) | g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) = k1_lattice2(A). [copy(197),flip(b)].
% 8.24/8.52 199 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k7_filter_2(A,B) = B # label(d6_filter_2) # label(axiom). [clausify(11)].
% 8.24/8.52 200 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) | k8_filter_2(A,B) = B # label(d7_filter_2) # label(axiom). [clausify(12)].
% 8.24/8.52 202 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,k1_lattice2(A)) | m2_filter_2(k14_filter_2(A,B),A) # label(dt_k14_filter_2) # label(axiom). [clausify(14)].
% 8.24/8.52 203 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(16)].
% 8.24/8.52 206 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(25)].
% 8.24/8.52 207 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(25)].
% 8.24/8.52 209 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(26)].
% 8.24/8.52 211 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(33)].
% 8.24/8.52 212 -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(33)].
% 8.24/8.52 213 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(35)].
% 8.24/8.52 214 -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(35)].
% 8.24/8.52 223 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(48)].
% 8.24/8.52 229 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(58)].
% 8.24/8.52 230 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | D = B # label(free_g3_lattices) # label(axiom). [clausify(59)].
% 8.24/8.52 232 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | F = C # label(free_g3_lattices) # label(axiom). [clausify(59)].
% 8.24/8.52 254 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,k1_lattice2(A)) | k14_filter_2(A,B) = k8_filter_2(A,B) # label(redefinition_k14_filter_2) # label(axiom). [clausify(74)].
% 8.24/8.52 255 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | k15_filter_2(A,B) = k7_filter_2(A,B) # label(redefinition_k15_filter_2) # label(axiom). [clausify(75)].
% 8.24/8.52 256 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | k7_filter_2(A,B) = k15_filter_2(A,B). [copy(255),flip(e)].
% 8.24/8.52 261 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | r2_filter_2(A,B) | -v1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) # label(t33_filter_2) # label(axiom). [clausify(82)].
% 8.24/8.52 269 -v3_struct_0(c15) # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 8.24/8.52 270 v10_lattices(c15) # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 8.24/8.52 271 l3_lattices(c15) # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 8.24/8.52 272 m2_filter_2(c16,c15) # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 8.24/8.52 273 u1_struct_0(c15) != c16 # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 8.24/8.52 274 -m2_filter_2(A,c15) | -r1_tarski(c16,A) | -r2_filter_2(c15,A) # label(t34_filter_2) # label(negated_conjecture). [clausify(90)].
% 8.24/8.52 276 -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(93,b,92,b)].
% 8.24/8.52 300 v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | m1_filter_0(k15_filter_2(A,B),k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(166,d,163,e)].
% 8.24/8.52 319 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(175,d,176,e)].
% 8.24/8.52 320 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m2_filter_2(B,A). [copy(319),merge(e),merge(f),merge(g)].
% 8.24/8.52 333 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(186,a,182,b)].
% 8.24/8.52 334 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(186,a,184,b)].
% 8.24/8.52 349 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | m1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [resolve(193,d,188,d)].
% 8.24/8.52 350 v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | m1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [copy(349),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 351 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | r1_tarski(A,f12(k1_lattice2(c15),A)). [resolve(193,d,190,d)].
% 8.24/8.52 352 v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | r1_tarski(A,f12(k1_lattice2(c15),A)). [copy(351),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 353 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | v1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [resolve(193,d,191,d)].
% 8.24/8.52 354 v3_struct_0(k1_lattice2(c15)) | -v10_lattices(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | v1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [copy(353),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 455 v10_lattices(k1_lattice2(c15)). [resolve(270,a,229,b),unit_del(a,269),unit_del(b,271)].
% 8.24/8.52 458 v3_struct_0(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | v1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [back_unit_del(354),unit_del(b,455)].
% 8.24/8.52 459 v3_struct_0(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | r1_tarski(A,f12(k1_lattice2(c15),A)). [back_unit_del(352),unit_del(b,455)].
% 8.24/8.52 460 v3_struct_0(k1_lattice2(c15)) | -l3_lattices(k1_lattice2(c15)) | -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | m1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [back_unit_del(350),unit_del(b,455)].
% 8.24/8.52 461 -v3_struct_0(k1_lattice2(c15)). [resolve(271,a,223,b),unit_del(a,269)].
% 8.24/8.52 462 l2_lattices(c15). [resolve(271,a,207,a)].
% 8.24/8.52 463 l1_lattices(c15). [resolve(271,a,206,a)].
% 8.24/8.52 464 l3_lattices(k1_lattice2(c15)). [resolve(271,a,203,a)].
% 8.24/8.52 465 g3_lattices(u1_struct_0(c15),u1_lattices(c15),u2_lattices(c15)) = k1_lattice2(c15). [resolve(271,a,198,a)].
% 8.24/8.52 466 -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | m1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [back_unit_del(460),unit_del(a,461),unit_del(b,464)].
% 8.24/8.52 467 -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | r1_tarski(A,f12(k1_lattice2(c15),A)). [back_unit_del(459),unit_del(a,461),unit_del(b,464)].
% 8.24/8.52 468 -m1_filter_0(A,k1_lattice2(c15)) | u1_struct_0(k1_lattice2(c15)) = A | v1_filter_0(f12(k1_lattice2(c15),A),k1_lattice2(c15)). [back_unit_del(458),unit_del(a,461),unit_del(b,464)].
% 8.24/8.52 469 k7_filter_2(c15,c16) = k15_filter_2(c15,c16). [resolve(272,a,256,d),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 475 m1_filter_0(k15_filter_2(c15,c16),k1_lattice2(c15)). [resolve(300,h,272,a),unit_del(a,461),unit_del(b,455),unit_del(c,464),unit_del(e,269),unit_del(f,270),unit_del(g,271)].
% 8.24/8.52 495 m1_subset_1(c16,k1_zfmisc_1(u1_struct_0(c15))). [resolve(320,e,272,a),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 586 m1_relset_1(u2_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(462,a,334,b)].
% 8.24/8.52 591 v1_funct_2(u2_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(462,a,214,a)].
% 8.24/8.52 592 v1_funct_1(u2_lattices(c15)). [resolve(462,a,213,a)].
% 8.24/8.52 593 m1_relset_1(u1_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(463,a,333,b)].
% 8.24/8.52 595 v1_funct_2(u1_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(463,a,212,a)].
% 8.24/8.52 596 v1_funct_1(u1_lattices(c15)). [resolve(463,a,211,a)].
% 8.24/8.52 650 g3_lattices(u1_struct_0(k1_lattice2(c15)),u2_lattices(k1_lattice2(c15)),u1_lattices(k1_lattice2(c15))) = k1_lattice2(c15). [resolve(464,a,276,b),unit_del(a,271)].
% 8.24/8.52 948 k15_filter_2(c15,c16) = c16. [resolve(495,a,199,d),rewrite([469(9)]),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 950 m1_filter_0(c16,k1_lattice2(c15)). [back_rewrite(475),rewrite([948(3)])].
% 8.24/8.52 1293 u1_struct_0(k1_lattice2(c15)) = c16 | m1_filter_0(f12(k1_lattice2(c15),c16),k1_lattice2(c15)). [resolve(466,a,950,a)].
% 8.24/8.52 1314 u1_struct_0(k1_lattice2(c15)) = c16 | r1_tarski(c16,f12(k1_lattice2(c15),c16)). [resolve(467,a,950,a)].
% 8.24/8.52 1338 u1_struct_0(k1_lattice2(c15)) = c16 | v1_filter_0(f12(k1_lattice2(c15),c16),k1_lattice2(c15)). [resolve(468,a,950,a)].
% 8.24/8.52 2783 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)) | g3_lattices(u1_struct_0(c15),A,u2_lattices(c15)) != g3_lattices(B,C,D) | u2_lattices(c15) = D. [resolve(586,a,232,f),flip(f),flip(g),unit_del(d,592),unit_del(e,591)].
% 8.24/8.52 2787 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)) | g3_lattices(u1_struct_0(c15),A,u2_lattices(c15)) != g3_lattices(B,C,D) | u1_struct_0(c15) = B. [resolve(586,a,230,f),flip(f),flip(g),unit_del(d,592),unit_del(e,591)].
% 8.24/8.52 8205 u1_struct_0(k1_lattice2(c15)) = c16 | k14_filter_2(c15,f12(k1_lattice2(c15),c16)) = k8_filter_2(c15,f12(k1_lattice2(c15),c16)). [resolve(1293,b,254,d),unit_del(b,269),unit_del(c,270),unit_del(d,271)].
% 8.24/8.52 8206 u1_struct_0(k1_lattice2(c15)) = c16 | m1_subset_1(f12(k1_lattice2(c15),c16),k1_zfmisc_1(u1_struct_0(k1_lattice2(c15)))). [resolve(1293,b,209,d),unit_del(b,461),unit_del(c,455),unit_del(d,464)].
% 8.24/8.52 8208 u1_struct_0(k1_lattice2(c15)) = c16 | m2_filter_2(k14_filter_2(c15,f12(k1_lattice2(c15),c16)),c15). [resolve(1293,b,202,d),unit_del(b,269),unit_del(c,270),unit_del(d,271)].
% 8.24/8.52 18580 g3_lattices(A,B,C) != k1_lattice2(c15) | u2_lattices(c15) = C. [resolve(2783,c,593,a),rewrite([465(20)]),flip(c),unit_del(a,596),unit_del(b,595)].
% 8.24/8.52 18581 u1_lattices(k1_lattice2(c15)) = u2_lattices(c15). [resolve(18580,a,650,a),flip(a)].
% 8.24/8.52 18695 g3_lattices(u1_struct_0(k1_lattice2(c15)),u2_lattices(k1_lattice2(c15)),u2_lattices(c15)) = k1_lattice2(c15). [back_rewrite(650),rewrite([18581(9)])].
% 8.24/8.52 18703 g3_lattices(A,B,C) != k1_lattice2(c15) | u1_struct_0(c15) = A. [resolve(2787,c,593,a),rewrite([465(20)]),flip(c),unit_del(a,596),unit_del(b,595)].
% 8.24/8.52 19504 u1_struct_0(k1_lattice2(c15)) = u1_struct_0(c15). [resolve(18695,a,18703,a),flip(a)].
% 8.24/8.52 19558 m2_filter_2(k14_filter_2(c15,f12(k1_lattice2(c15),c16)),c15). [back_rewrite(8208),rewrite([19504(3)]),unit_del(a,273)].
% 8.24/8.52 19560 m1_subset_1(f12(k1_lattice2(c15),c16),k1_zfmisc_1(u1_struct_0(c15))). [back_rewrite(8206),rewrite([19504(3),19504(11)]),unit_del(a,273)].
% 8.24/8.52 19561 k14_filter_2(c15,f12(k1_lattice2(c15),c16)) = k8_filter_2(c15,f12(k1_lattice2(c15),c16)). [back_rewrite(8205),rewrite([19504(3)]),unit_del(a,273)].
% 8.24/8.52 19576 v1_filter_0(f12(k1_lattice2(c15),c16),k1_lattice2(c15)). [back_rewrite(1338),rewrite([19504(3)]),unit_del(a,273)].
% 8.24/8.52 19581 r1_tarski(c16,f12(k1_lattice2(c15),c16)). [back_rewrite(1314),rewrite([19504(3)]),unit_del(a,273)].
% 8.24/8.52 19613 m2_filter_2(k8_filter_2(c15,f12(k1_lattice2(c15),c16)),c15). [back_rewrite(19558),rewrite([19561(6)])].
% 8.24/8.52 19615 -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c15))) | k8_filter_2(c15,A) = A. [para(19504(a,1),200(d,2,1)),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 19650 k7_filter_2(c15,f12(k1_lattice2(c15),c16)) = f12(k1_lattice2(c15),c16). [resolve(19560,a,199,d),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 19666 k7_filter_2(c15,k8_filter_2(c15,f12(k1_lattice2(c15),c16))) = k15_filter_2(c15,k8_filter_2(c15,f12(k1_lattice2(c15),c16))). [resolve(19613,a,256,d),unit_del(a,269),unit_del(b,270),unit_del(c,271)].
% 8.24/8.52 19687 k8_filter_2(c15,f12(k1_lattice2(c15),c16)) = f12(k1_lattice2(c15),c16). [resolve(19615,a,19560,a)].
% 8.24/8.52 19690 k15_filter_2(c15,f12(k1_lattice2(c15),c16)) = f12(k1_lattice2(c15),c16). [back_rewrite(19666),rewrite([19687(7),19650(6),19687(11)]),flip(a)].
% 8.24/8.52 19691 m2_filter_2(f12(k1_lattice2(c15),c16),c15). [back_rewrite(19613),rewrite([19687(6)])].
% 8.24/8.52 19851 r2_filter_2(c15,f12(k1_lattice2(c15),c16)). [para(19690(a,1),261(f,1)),unit_del(a,269),unit_del(b,270),unit_del(c,271),unit_del(d,19691),unit_del(f,19576)].
% 8.24/8.52 19852 $F. [resolve(19851,a,274,c),unit_del(a,19691),unit_del(b,19581)].
% 8.24/8.52
% 8.24/8.52 % SZS output end Refutation
% 8.24/8.52 ============================== end of proof ==========================
% 8.24/8.52
% 8.24/8.52 ============================== STATISTICS ============================
% 8.24/8.52
% 8.24/8.52 Given=7816. Generated=43255. Kept=19618. proofs=1.
% 8.24/8.52 Usable=3478. Sos=3198. Demods=763. Limbo=0, Disabled=13230. Hints=0.
% 8.24/8.52 Megabytes=23.99.
% 8.24/8.52 User_CPU=7.45, System_CPU=0.03, Wall_clock=8.
% 8.24/8.52
% 8.24/8.52 ============================== end of statistics =====================
% 8.24/8.52
% 8.24/8.52 ============================== end of search =========================
% 8.24/8.52
% 8.24/8.52 THEOREM PROVED
% 8.24/8.52 % SZS status Theorem
% 8.24/8.52
% 8.24/8.52 Exiting with 1 proof.
% 8.24/8.52
% 8.24/8.52 Process 28417 exit (max_proofs) Tue Jun 28 22:00:00 2022
% 8.24/8.52 Prover9 interrupted
%------------------------------------------------------------------------------