TSTP Solution File: LAT324+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT324+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.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 06:27:33 EDT 2022
% Result : Theorem 24.25s 24.50s
% Output : Refutation 24.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : LAT324+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 09:45:18 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.67/0.98 ============================== Prover9 ===============================
% 0.67/0.98 Prover9 (32) version 2009-11A, November 2009.
% 0.67/0.98 Process 31884 was started by sandbox on n012.cluster.edu,
% 0.67/0.98 Wed Jun 29 09:45:19 2022
% 0.67/0.98 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_31731_n012.cluster.edu".
% 0.67/0.98 ============================== end of head ===========================
% 0.67/0.98
% 0.67/0.98 ============================== INPUT =================================
% 0.67/0.98
% 0.67/0.98 % Reading from file /tmp/Prover9_31731_n012.cluster.edu
% 0.67/0.98
% 0.67/0.98 set(prolog_style_variables).
% 0.67/0.98 set(auto2).
% 0.67/0.98 % set(auto2) -> set(auto).
% 0.67/0.98 % set(auto) -> set(auto_inference).
% 0.67/0.98 % set(auto) -> set(auto_setup).
% 0.67/0.98 % set(auto_setup) -> set(predicate_elim).
% 0.67/0.98 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.67/0.98 % set(auto) -> set(auto_limits).
% 0.67/0.98 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.67/0.98 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.67/0.98 % set(auto) -> set(auto_denials).
% 0.67/0.98 % set(auto) -> set(auto_process).
% 0.67/0.98 % set(auto2) -> assign(new_constants, 1).
% 0.67/0.98 % set(auto2) -> assign(fold_denial_max, 3).
% 0.67/0.98 % set(auto2) -> assign(max_weight, "200.000").
% 0.67/0.98 % set(auto2) -> assign(max_hours, 1).
% 0.67/0.98 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.67/0.98 % set(auto2) -> assign(max_seconds, 0).
% 0.67/0.98 % set(auto2) -> assign(max_minutes, 5).
% 0.67/0.98 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.67/0.98 % set(auto2) -> set(sort_initial_sos).
% 0.67/0.98 % set(auto2) -> assign(sos_limit, -1).
% 0.67/0.98 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.67/0.98 % set(auto2) -> assign(max_megs, 400).
% 0.67/0.98 % set(auto2) -> assign(stats, some).
% 0.67/0.98 % set(auto2) -> clear(echo_input).
% 0.67/0.98 % set(auto2) -> set(quiet).
% 0.67/0.98 % set(auto2) -> clear(print_initial_clauses).
% 0.67/0.98 % set(auto2) -> clear(print_given).
% 0.67/0.98 assign(lrs_ticks,-1).
% 0.67/0.98 assign(sos_limit,10000).
% 0.67/0.98 assign(order,kbo).
% 0.67/0.98 set(lex_order_vars).
% 0.67/0.98 clear(print_given).
% 0.67/0.98
% 0.67/0.98 % formulas(sos). % not echoed (99 formulas)
% 0.67/0.98
% 0.67/0.98 ============================== end of input ==========================
% 0.67/0.98
% 0.67/0.98 % From the command line: assign(max_seconds, 300).
% 0.67/0.98
% 0.67/0.98 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.67/0.98
% 0.67/0.98 % Formulas that are not ordinary clauses:
% 0.67/0.98 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].
% 0.67/0.98 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 10 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v17_lattices(A) -> -v3_struct_0(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 11 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 12 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v12_lattices(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 13 (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].
% 0.67/0.98 14 (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].
% 0.67/0.98 15 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 16 (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].
% 0.67/0.98 17 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 18 (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].
% 0.67/0.98 19 (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].
% 0.67/0.98 20 (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].
% 0.67/0.98 21 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 22 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 23 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 24 (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].
% 0.67/0.98 25 (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].
% 0.67/0.98 26 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(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].
% 0.67/0.98 27 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 28 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 29 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 30 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 31 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 32 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 33 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 34 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 35 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 36 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 37 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 38 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 39 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 40 (all A (l2_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 41 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 42 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 43 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 44 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 45 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 46 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 47 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 48 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 49 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 50 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 51 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 52 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 53 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 54 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 55 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 56 (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].
% 0.67/0.98 57 (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].
% 0.67/0.98 58 (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].
% 0.67/0.98 59 (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].
% 0.67/0.98 60 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & v12_lattices(k1_lattice2(A)) & v13_lattices(k1_lattice2(A)) & v14_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)))) # label(fc4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 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].
% 0.67/0.98 65 (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].
% 0.67/0.98 66 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A))) # label(rc10_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 67 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 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) & v16_lattices(A))) # label(rc12_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 69 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v17_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 70 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 71 (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].
% 0.67/0.98 72 (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].
% 0.67/0.98 73 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 74 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 75 (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].
% 0.67/0.98 76 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 77 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 78 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 79 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 80 (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].
% 0.67/0.98 81 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 82 (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].
% 0.67/0.98 83 (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].
% 0.67/0.98 84 (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].
% 0.67/0.98 85 (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].
% 0.67/0.98 86 (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].
% 0.67/0.98 87 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 88 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.98 89 (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].
% 0.67/0.98 90 (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].
% 0.67/0.98 91 (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].
% 0.67/0.99 92 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 93 (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].
% 0.67/0.99 94 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != C & (all D (m1_filter_0(D,A) -> -(v1_filter_0(D,A) & (r2_hidden(B,D) & -r2_hidden(C,D) | -r2_hidden(B,D) & r2_hidden(C,D)))))))))))) # label(t60_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 95 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 96 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 97 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.67/0.99 98 -(all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != C & (all D (m2_filter_2(D,A) -> -(r2_filter_2(A,D) & (r2_hidden(B,D) & -r2_hidden(C,D) | -r2_hidden(B,D) & r2_hidden(C,D)))))))))))) # label(t60_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.67/0.99
% 0.67/0.99 ============================== end of process non-clausal formulas ===
% 0.67/0.99
% 0.67/0.99 ============================== PROCESS INITIAL CLAUSES ===============
% 0.67/0.99
% 0.67/0.99 ============================== PREDICATE ELIMINATION =================
% 0.67/0.99 99 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_lattices(g3_lattices(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(17)].
% 0.67/0.99 100 -l3_lattices(A) | -v3_lattices(A) | g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(1)].
% 0.67/0.99 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -l3_lattices(g3_lattices(B,A,C)) | g3_lattices(u1_struct_0(g3_lattices(B,A,C)),u2_lattices(g3_lattices(B,A,C)),u1_lattices(g3_lattices(B,A,C))) = g3_lattices(B,A,C). [resolve(99,g,100,b)].
% 0.67/0.99 101 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(20)].
% 0.67/0.99 Derived: -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | g3_lattices(u1_struct_0(k1_lattice2(A)),u2_lattices(k1_lattice2(A)),u1_lattices(k1_lattice2(A))) = k1_lattice2(A). [resolve(101,b,100,b)].
% 0.67/0.99 102 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(53)].
% 0.67/0.99 103 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A) | v3_lattices(g3_lattices(A,B,C)) # label(fc3_lattices) # label(axiom). [clausify(59)].
% 0.67/0.99 104 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 0.67/0.99 105 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.67/0.99 106 v3_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(66)].
% 0.67/0.99 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(106,a,100,b)].
% 0.67/0.99 107 v3_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(67)].
% 0.67/0.99 Derived: -l3_lattices(c6) | g3_lattices(u1_struct_0(c6),u2_lattices(c6),u1_lattices(c6)) = c6. [resolve(107,a,100,b)].
% 0.67/0.99 108 v3_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(68)].
% 0.67/0.99 Derived: -l3_lattices(c7) | g3_lattices(u1_struct_0(c7),u2_lattices(c7),u1_lattices(c7)) = c7. [resolve(108,a,100,b)].
% 0.67/0.99 109 v3_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(69)].
% 0.67/0.99 Derived: -l3_lattices(c8) | g3_lattices(u1_struct_0(c8),u2_lattices(c8),u1_lattices(c8)) = c8. [resolve(109,a,100,b)].
% 0.67/0.99 110 v3_lattices(c14) # label(rc3_lattices) # label(axiom). [clausify(78)].
% 0.67/0.99 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(110,a,100,b)].
% 0.67/0.99 111 v3_lattices(c16) # label(rc6_lattices) # label(axiom). [clausify(81)].
% 0.67/0.99 Derived: -l3_lattices(c16) | g3_lattices(u1_struct_0(c16),u2_lattices(c16),u1_lattices(c16)) = c16. [resolve(111,a,100,b)].
% 0.67/0.99 112 v3_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(82)].
% 0.67/0.99 Derived: -l3_lattices(c17) | g3_lattices(u1_struct_0(c17),u2_lattices(c17),u1_lattices(c17)) = c17. [resolve(112,a,100,b)].
% 0.67/0.99 113 -l3_lattices(A) | v3_struct_0(A) | -v4_lattices(A) | -v5_lattices(A) | -v6_lattices(A) | -v7_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | v10_lattices(A) # label(cc2_lattices) # label(axiom). [clausify(7)].
% 0.67/0.99 114 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.67/0.99 115 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v4_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.67/0.99 116 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(57)].
% 0.67/0.99 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(116,b,114,d)].
% 0.67/0.99 117 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(57)].
% 0.67/0.99 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(117,b,114,d)].
% 0.67/0.99 118 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(57)].
% 0.67/0.99 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(118,b,114,d)].
% 0.67/0.99 119 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(57)].
% 0.67/0.99 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(119,b,114,d)].
% 0.67/0.99 120 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(57)].
% 0.67/0.99 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(120,b,114,d)].
% 0.67/0.99 121 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 0.67/0.99 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(121,e,116,b)].
% 0.67/0.99 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))). [resolve(121,e,117,b)].
% 0.67/0.99 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_2(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(121,e,118,b)].
% 0.67/0.99 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(121,e,119,b)].
% 0.67/1.00 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_partfun1(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(121,e,120,b)].
% 0.67/1.00 122 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.67/1.00 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(122,d,116,b)].
% 0.67/1.00 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))). [resolve(122,d,117,b)].
% 0.67/1.00 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_2(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(122,d,118,b)].
% 0.67/1.00 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(122,d,119,b)].
% 0.67/1.00 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_partfun1(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(122,d,120,b)].
% 0.67/1.00 123 v4_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(66)].
% 0.67/1.00 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(123,a,116,b)].
% 0.67/1.00 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(123,a,117,b)].
% 0.67/1.00 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_2(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(123,a,118,b)].
% 0.67/1.00 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(123,a,119,b)].
% 0.67/1.00 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_partfun1(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(123,a,120,b)].
% 0.67/1.00 124 v4_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(67)].
% 0.67/1.00 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(124,a,116,b)].
% 0.67/1.00 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_1(u2_lattices(c6)). [resolve(124,a,117,b)].
% 0.67/1.00 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_2(u2_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(124,a,118,b)].
% 0.67/1.00 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(124,a,119,b)].
% 0.67/1.00 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_partfun1(u2_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(124,a,120,b)].
% 0.67/1.00 125 v4_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(68)].
% 0.67/1.00 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(125,a,116,b)].
% 0.67/1.00 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_1(u2_lattices(c7)). [resolve(125,a,117,b)].
% 0.67/1.00 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_2(u2_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(125,a,118,b)].
% 0.67/1.00 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(125,a,119,b)].
% 0.67/1.00 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_partfun1(u2_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(125,a,120,b)].
% 0.67/1.00 126 v4_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(69)].
% 0.67/1.00 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(126,a,116,b)].
% 0.67/1.00 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_1(u2_lattices(c8)). [resolve(126,a,117,b)].
% 0.67/1.01 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_2(u2_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(126,a,118,b)].
% 0.67/1.01 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(126,a,119,b)].
% 0.67/1.01 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_partfun1(u2_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(126,a,120,b)].
% 0.67/1.01 127 v4_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(82)].
% 0.67/1.01 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(127,a,116,b)].
% 0.67/1.01 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_1(u2_lattices(c17)). [resolve(127,a,117,b)].
% 0.67/1.01 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_2(u2_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(127,a,118,b)].
% 0.67/1.01 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(127,a,119,b)].
% 0.67/1.01 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_partfun1(u2_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(127,a,120,b)].
% 0.67/1.01 128 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(58)].
% 0.67/1.01 129 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.67/1.01 130 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v5_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.67/1.01 131 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(58)].
% 0.67/1.01 132 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(58)].
% 0.67/1.01 133 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(58)].
% 0.67/1.01 Derived: v3_struct_0(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(133,b,129,d)].
% 0.67/1.01 134 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(58)].
% 0.67/1.01 135 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 0.67/1.01 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v2_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(135,e,133,b)].
% 0.67/1.01 136 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.67/1.01 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v2_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(136,d,133,b)].
% 0.67/1.01 137 v5_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(66)].
% 0.67/1.01 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(137,a,133,b)].
% 0.67/1.01 138 v5_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(67)].
% 0.67/1.01 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v2_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(138,a,133,b)].
% 0.67/1.01 139 v5_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(68)].
% 0.67/1.01 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v2_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(139,a,133,b)].
% 0.67/1.01 140 v5_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(69)].
% 0.67/1.01 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v2_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(140,a,133,b)].
% 0.67/1.01 141 v5_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(82)].
% 0.72/1.01 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v2_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(141,a,133,b)].
% 0.72/1.01 142 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.72/1.01 143 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.72/1.01 144 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v6_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.72/1.01 145 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 0.72/1.01 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(142,b,143,d)].
% 0.72/1.01 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(142,b,145,e)].
% 0.72/1.01 146 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.72/1.01 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(146,b,143,d)].
% 0.72/1.01 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(146,b,145,e)].
% 0.72/1.01 147 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.72/1.01 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(147,b,143,d)].
% 0.72/1.01 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_2(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(147,b,145,e)].
% 0.72/1.01 148 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.72/1.01 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_binop_1(u1_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(148,b,143,d)].
% 0.72/1.01 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(148,b,145,e)].
% 0.72/1.01 149 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc4_lattice2) # label(axiom). [clausify(61)].
% 0.72/1.01 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(149,b,143,d)].
% 0.72/1.01 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_partfun1(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(149,b,145,e)].
% 0.72/1.01 150 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.72/1.01 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))). [resolve(150,d,142,b)].
% 0.72/1.01 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_1(u1_lattices(k1_lattice2(A))). [resolve(150,d,146,b)].
% 0.72/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_2(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(150,d,147,b)].
% 0.72/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(150,d,148,b)].
% 0.72/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_partfun1(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(150,d,149,b)].
% 0.72/1.02 151 v6_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(66)].
% 0.72/1.02 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(151,a,142,b)].
% 0.72/1.02 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(151,a,146,b)].
% 0.72/1.02 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_2(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(151,a,147,b)].
% 0.72/1.02 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(151,a,148,b)].
% 0.72/1.02 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_partfun1(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(151,a,149,b)].
% 0.72/1.02 152 v6_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(67)].
% 0.72/1.02 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(152,a,142,b)].
% 0.72/1.02 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_1(u1_lattices(c6)). [resolve(152,a,146,b)].
% 0.72/1.02 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_2(u1_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(152,a,147,b)].
% 0.72/1.02 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(152,a,148,b)].
% 0.72/1.02 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_partfun1(u1_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(152,a,149,b)].
% 0.72/1.02 153 v6_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(68)].
% 0.72/1.02 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(153,a,142,b)].
% 0.72/1.02 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_1(u1_lattices(c7)). [resolve(153,a,146,b)].
% 0.72/1.02 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_2(u1_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(153,a,147,b)].
% 0.72/1.02 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(153,a,148,b)].
% 0.72/1.02 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_partfun1(u1_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(153,a,149,b)].
% 0.72/1.02 154 v6_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(69)].
% 0.72/1.02 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(154,a,142,b)].
% 0.72/1.02 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_1(u1_lattices(c8)). [resolve(154,a,146,b)].
% 0.72/1.02 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_2(u1_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(154,a,147,b)].
% 0.72/1.02 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(154,a,148,b)].
% 0.72/1.02 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_partfun1(u1_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(154,a,149,b)].
% 0.72/1.02 155 v6_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(82)].
% 0.72/1.02 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(155,a,142,b)].
% 0.72/1.02 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_1(u1_lattices(c17)). [resolve(155,a,146,b)].
% 0.72/1.02 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_2(u1_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(155,a,147,b)].
% 0.72/1.04 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(155,a,148,b)].
% 0.72/1.04 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_partfun1(u1_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(155,a,149,b)].
% 0.72/1.04 156 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.72/1.04 157 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.72/1.04 158 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v7_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.72/1.04 159 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 0.72/1.04 160 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.72/1.04 161 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.72/1.04 162 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v2_binop_1(u1_lattices(A),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.72/1.04 Derived: v3_struct_0(A) | -l1_lattices(A) | v2_binop_1(u1_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(162,b,157,d)].
% 0.72/1.04 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v2_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(162,b,159,e)].
% 0.72/1.04 163 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc5_lattice2) # label(axiom). [clausify(63)].
% 0.72/1.04 164 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 0.72/1.04 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v2_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(164,d,162,b)].
% 0.72/1.04 165 v7_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(66)].
% 0.72/1.04 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(165,a,162,b)].
% 0.72/1.04 166 v7_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(67)].
% 0.72/1.04 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v2_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(166,a,162,b)].
% 0.72/1.04 167 v7_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(68)].
% 0.72/1.04 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v2_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(167,a,162,b)].
% 0.72/1.04 168 v7_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(69)].
% 0.72/1.04 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v2_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(168,a,162,b)].
% 0.72/1.04 169 v7_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(82)].
% 0.72/1.04 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v2_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(169,a,162,b)].
% 0.72/1.04 170 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.72/1.04 171 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.72/1.04 Derived: -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(170,a,171,b)].
% 0.72/1.04 172 v1_relat_1(c9) # label(rc1_funct_1) # label(axiom). [clausify(70)].
% 0.72/1.04 Derived: -v1_xboole_0(c9) | -v1_funct_1(c9) | v2_funct_1(c9). [resolve(172,a,170,a)].
% 0.72/1.04 173 v1_relat_1(c11) # label(rc2_funct_1) # label(axiom). [clausify(74)].
% 0.72/1.04 Derived: -v1_xboole_0(c11) | -v1_funct_1(c11) | v2_funct_1(c11). [resolve(173,a,170,a)].
% 0.72/1.04 174 v1_relat_1(c13) # label(rc3_funct_1) # label(axiom). [clausify(77)].
% 0.72/1.04 175 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(116,b,114,d)].
% 0.72/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v1_xboole_0(u2_lattices(A)) | -v1_funct_1(u2_lattices(A)) | v2_funct_1(u2_lattices(A)). [resolve(175,c,170,a)].
% 0.72/1.05 176 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(121,e,116,b)].
% 0.72/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -v1_xboole_0(u2_lattices(k1_lattice2(A))) | -v1_funct_1(u2_lattices(k1_lattice2(A))) | v2_funct_1(u2_lattices(k1_lattice2(A))). [resolve(176,g,170,a)].
% 0.72/1.05 177 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(122,d,116,b)].
% 0.72/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -v1_xboole_0(u2_lattices(k1_lattice2(A))) | -v1_funct_1(u2_lattices(k1_lattice2(A))) | v2_funct_1(u2_lattices(k1_lattice2(A))). [resolve(177,f,170,a)].
% 0.72/1.05 178 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(123,a,116,b)].
% 0.72/1.05 Derived: v3_struct_0(c5) | -l2_lattices(c5) | -v1_xboole_0(u2_lattices(c5)) | -v1_funct_1(u2_lattices(c5)) | v2_funct_1(u2_lattices(c5)). [resolve(178,c,170,a)].
% 0.72/1.05 179 v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(124,a,116,b)].
% 0.72/1.05 Derived: v3_struct_0(c6) | -l2_lattices(c6) | -v1_xboole_0(u2_lattices(c6)) | -v1_funct_1(u2_lattices(c6)) | v2_funct_1(u2_lattices(c6)). [resolve(179,c,170,a)].
% 0.72/1.05 180 v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(125,a,116,b)].
% 0.72/1.05 Derived: v3_struct_0(c7) | -l2_lattices(c7) | -v1_xboole_0(u2_lattices(c7)) | -v1_funct_1(u2_lattices(c7)) | v2_funct_1(u2_lattices(c7)). [resolve(180,c,170,a)].
% 0.72/1.05 181 v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(126,a,116,b)].
% 0.72/1.05 Derived: v3_struct_0(c8) | -l2_lattices(c8) | -v1_xboole_0(u2_lattices(c8)) | -v1_funct_1(u2_lattices(c8)) | v2_funct_1(u2_lattices(c8)). [resolve(181,c,170,a)].
% 0.72/1.05 182 v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(127,a,116,b)].
% 0.72/1.05 Derived: v3_struct_0(c17) | -l2_lattices(c17) | -v1_xboole_0(u2_lattices(c17)) | -v1_funct_1(u2_lattices(c17)) | v2_funct_1(u2_lattices(c17)). [resolve(182,c,170,a)].
% 0.72/1.05 183 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(142,b,143,d)].
% 0.72/1.05 Derived: v3_struct_0(A) | -l1_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v1_xboole_0(u1_lattices(A)) | -v1_funct_1(u1_lattices(A)) | v2_funct_1(u1_lattices(A)). [resolve(183,c,170,a)].
% 0.72/1.05 184 v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A). [resolve(142,b,145,e)].
% 0.72/1.05 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -v1_xboole_0(u1_lattices(k1_lattice2(A))) | -v1_funct_1(u1_lattices(k1_lattice2(A))) | v2_funct_1(u1_lattices(k1_lattice2(A))). [resolve(184,c,170,a)].
% 0.72/1.05 185 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))). [resolve(150,d,142,b)].
% 0.72/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -v1_xboole_0(u1_lattices(k1_lattice2(A))) | -v1_funct_1(u1_lattices(k1_lattice2(A))) | v2_funct_1(u1_lattices(k1_lattice2(A))). [resolve(185,f,170,a)].
% 0.72/1.05 186 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(151,a,142,b)].
% 0.72/1.05 Derived: v3_struct_0(c5) | -l1_lattices(c5) | -v1_xboole_0(u1_lattices(c5)) | -v1_funct_1(u1_lattices(c5)) | v2_funct_1(u1_lattices(c5)). [resolve(186,c,170,a)].
% 0.72/1.07 187 v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(152,a,142,b)].
% 0.72/1.07 Derived: v3_struct_0(c6) | -l1_lattices(c6) | -v1_xboole_0(u1_lattices(c6)) | -v1_funct_1(u1_lattices(c6)) | v2_funct_1(u1_lattices(c6)). [resolve(187,c,170,a)].
% 0.72/1.07 188 v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(153,a,142,b)].
% 0.72/1.07 Derived: v3_struct_0(c7) | -l1_lattices(c7) | -v1_xboole_0(u1_lattices(c7)) | -v1_funct_1(u1_lattices(c7)) | v2_funct_1(u1_lattices(c7)). [resolve(188,c,170,a)].
% 0.72/1.07 189 v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(154,a,142,b)].
% 0.72/1.07 Derived: v3_struct_0(c8) | -l1_lattices(c8) | -v1_xboole_0(u1_lattices(c8)) | -v1_funct_1(u1_lattices(c8)) | v2_funct_1(u1_lattices(c8)). [resolve(189,c,170,a)].
% 0.72/1.07 190 v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(155,a,142,b)].
% 0.72/1.07 Derived: v3_struct_0(c17) | -l1_lattices(c17) | -v1_xboole_0(u1_lattices(c17)) | -v1_funct_1(u1_lattices(c17)) | v2_funct_1(u1_lattices(c17)). [resolve(190,c,170,a)].
% 0.72/1.07 191 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.72/1.07 192 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.72/1.07 193 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v13_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.72/1.07 194 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v13_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 0.72/1.07 195 v13_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(66)].
% 0.72/1.07 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | v15_lattices(c5). [resolve(195,a,192,c)].
% 0.72/1.07 196 v13_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(67)].
% 0.72/1.07 197 v13_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(68)].
% 0.72/1.07 198 v13_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(69)].
% 0.72/1.07 199 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v15_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.72/1.07 200 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v14_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.72/1.07 Derived: -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | v14_lattices(A). [resolve(199,d,200,c)].
% 0.72/1.07 201 -l3_lattices(A) | v3_struct_0(A) | -v11_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | v17_lattices(A) # label(cc6_lattices) # label(axiom). [clausify(11)].
% 0.72/1.07 202 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v15_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 0.72/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | v3_struct_0(k1_lattice2(A)) | v14_lattices(k1_lattice2(A)). [resolve(202,e,200,c)].
% 0.72/1.07 203 v15_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(67)].
% 0.72/1.07 Derived: -l3_lattices(c6) | v3_struct_0(c6) | v14_lattices(c6). [resolve(203,a,200,c)].
% 0.72/1.07 Derived: -l3_lattices(c6) | v3_struct_0(c6) | -v11_lattices(c6) | -v16_lattices(c6) | v17_lattices(c6). [resolve(203,a,201,d)].
% 0.72/1.07 204 v15_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(68)].
% 0.72/1.07 Derived: -l3_lattices(c7) | v3_struct_0(c7) | v14_lattices(c7). [resolve(204,a,200,c)].
% 0.72/1.07 Derived: -l3_lattices(c7) | v3_struct_0(c7) | -v11_lattices(c7) | -v16_lattices(c7) | v17_lattices(c7). [resolve(204,a,201,d)].
% 0.72/1.07 205 v15_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(69)].
% 0.72/1.07 Derived: -l3_lattices(c8) | v3_struct_0(c8) | v14_lattices(c8). [resolve(205,a,200,c)].
% 0.72/1.07 206 -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | v15_lattices(c5). [resolve(195,a,192,c)].
% 0.72/1.07 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | -l3_lattices(c5) | v3_struct_0(c5) | -v11_lattices(c5) | -v16_lattices(c5) | v17_lattices(c5). [resolve(206,d,201,d)].
% 0.72/1.07 207 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_2) # label(axiom). [clausify(32)].
% 0.72/1.08 208 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m1_filter_2(k15_filter_2(A,B),k1_lattice2(A)) # label(dt_k15_filter_2) # label(axiom). [clausify(19)].
% 0.72/1.08 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(207,d,208,e)].
% 0.72/1.08 209 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m1_filter_2) # label(axiom). [clausify(32)].
% 0.72/1.08 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(209,d,208,e)].
% 0.72/1.08 210 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f2(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(46)].
% 0.72/1.08 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(210,d,207,d)].
% 0.72/1.08 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(210,d,209,d)].
% 0.72/1.08 211 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(85)].
% 0.72/1.08 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(211,d,208,e)].
% 0.72/1.08 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(211,d,210,d)].
% 0.72/1.08 212 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(85)].
% 0.72/1.08 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(212,d,207,d)].
% 0.72/1.08 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(212,d,209,d)].
% 0.72/1.08 213 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(54)].
% 0.72/1.08 214 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(27)].
% 0.72/1.08 215 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(29)].
% 0.72/1.08 216 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(42)].
% 0.72/1.08 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(213,b,214,b)].
% 0.72/1.08 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(213,b,215,b)].
% 0.72/1.08 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(213,b,216,a)].
% 0.72/1.08 217 l1_struct_0(c15) # label(rc3_struct_0) # label(axiom). [clausify(79)].
% 0.72/1.08 Derived: v3_struct_0(c15) | -v1_xboole_0(u1_struct_0(c15)). [resolve(217,a,213,b)].
% 0.72/1.08 218 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(80)].
% 0.72/1.08 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(218,b,214,b)].
% 0.72/1.08 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(218,b,215,b)].
% 0.72/1.08 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(218,b,216,a)].
% 0.72/1.08 Derived: v3_struct_0(c15) | m1_subset_1(f11(c15),k1_zfmisc_1(u1_struct_0(c15))). [resolve(218,b,217,a)].
% 0.72/1.08 219 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(80)].
% 0.72/1.08 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_lattices(A). [resolve(219,b,214,b)].
% 0.72/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l2_lattices(A). [resolve(219,b,215,b)].
% 0.72/1.10 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(219,b,216,a)].
% 0.72/1.10 Derived: v3_struct_0(c15) | -v1_xboole_0(f11(c15)). [resolve(219,b,217,a)].
% 0.72/1.10 220 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_lattice4(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m2_lattice4) # label(axiom). [clausify(36)].
% 0.72/1.10 221 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m2_filter_2) # label(axiom). [clausify(35)].
% 0.72/1.10 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(220,d,221,e)].
% 0.72/1.10 222 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(50)].
% 0.72/1.10 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(222,d,220,d)].
% 0.72/1.10 223 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f8(A),A) # label(rc1_lattice4) # label(axiom). [clausify(71)].
% 0.72/1.10 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(223,d,220,d)].
% 0.72/1.10 224 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(209,d,208,e)].
% 0.72/1.10 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(224,d,220,d)].
% 0.72/1.10 225 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(210,d,209,d)].
% 0.72/1.10 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(225,g,220,d)].
% 0.72/1.10 226 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(212,d,209,d)].
% 0.72/1.10 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(226,h,220,d)].
% 0.72/1.10 227 -l1_lattices(A) | m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(38)].
% 0.72/1.10 228 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(37)].
% 0.72/1.10 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(227,b,228,a)].
% 0.72/1.10 229 -l2_lattices(A) | m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(40)].
% 0.72/1.10 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(229,b,228,a)].
% 0.72/1.10 230 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(51)].
% 0.72/1.10 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(230,a,228,a)].
% 0.72/1.10 231 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(86)].
% 0.72/1.10 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(231,a,227,b)].
% 24.25/24.50 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(231,a,229,b)].
% 24.25/24.50 Derived: m1_relset_1(f7(A,B),A,B). [resolve(231,a,230,a)].
% 24.25/24.50 232 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(86)].
% 24.25/24.50 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(232,a,228,a)].
% 24.25/24.50 233 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(91)].
% 24.25/24.50 234 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(87)].
% 24.25/24.50 235 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(91)].
% 24.25/24.50 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(233,b,234,a)].
% 24.25/24.50
% 24.25/24.50 ============================== end predicate elimination =============
% 24.25/24.50
% 24.25/24.50 Auto_denials: (non-Horn, no changes).
% 24.25/24.50
% 24.25/24.50 Term ordering decisions:
% 24.25/24.50 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. c19=1. c20=1. k2_zfmisc_1=1. k15_filter_2=1. k7_filter_2=1. k8_filter_2=1. k14_filter_2=1. k5_filter_2=1. f3=1. f7=1. u1_struct_0=1. k1_lattice2=1. u1_lattices=1. u2_lattices=1. k1_zfmisc_1=1. f1=1. f2=1. f4=1. f5=1. f6=1. f8=1. f9=1. f10=1. f11=1. g3_lattices=1. f12=1.
% 24.25/24.50
% 24.25/24.50 ============================== end of process initial clauses ========
% 24.25/24.50
% 24.25/24.50 ============================== CLAUSES FOR SEARCH ====================
% 24.25/24.50
% 24.25/24.50 ============================== end of clauses for search =============
% 24.25/24.50
% 24.25/24.50 ============================== SEARCH ================================
% 24.25/24.50
% 24.25/24.50 % Starting search at 0.16 seconds.
% 24.25/24.50
% 24.25/24.50 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1379 (0.00 of 0.28 sec).
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=53.000, iters=3495
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=44.000, iters=3333
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=42.000, iters=3357
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=38.000, iters=3496
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=35.000, iters=3377
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=34.000, iters=3381
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=31.000, iters=3391
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=30.000, iters=3344
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=23.000, iters=3378
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=20.000, iters=3425
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=19.000, iters=3492
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=18.000, iters=3348
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=17.000, iters=3416
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=16.000, iters=3362
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=15.000, iters=3354
% 24.25/24.50
% 24.25/24.50 Low Water (keep): wt=14.000, iters=3369
% 24.25/24.50
% 24.25/24.50 Low Water (displace): id=9521, wt=164.000
% 24.25/24.50
% 24.25/24.50 Low Water (displace): id=27019, wt=15.000
% 24.25/24.50
% 24.25/24.50 Low Water (displace): id=27034, wt=14.000
% 24.25/24.50
% 24.25/24.50 Low Water (displace): id=27807, wt=13.000
% 24.25/24.50
% 24.25/24.50 ============================== PROOF =================================
% 24.25/24.50 % SZS status Theorem
% 24.25/24.50 % SZS output start Refutation
% 24.25/24.50
% 24.25/24.50 % Proof 1 at 23.47 (+ 0.07) seconds.
% 24.25/24.50 % Length of proof is 122.
% 24.25/24.50 % Level of proof is 15.
% 24.25/24.50 % Maximum clause weight is 40.000.
% 24.25/24.50 % Given clauses 15448.
% 24.25/24.50
% 24.25/24.50 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].
% 24.25/24.50 13 (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].
% 24.25/24.50 14 (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].
% 24.25/24.50 15 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 16 (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].
% 24.25/24.50 18 (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].
% 24.25/24.50 20 (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].
% 24.25/24.50 24 (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].
% 24.25/24.50 30 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 31 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 35 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 36 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 38 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 40 (all A (l2_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 53 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 60 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & v12_lattices(k1_lattice2(A)) & v13_lattices(k1_lattice2(A)) & v14_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)))) # label(fc4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 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].
% 24.25/24.50 65 (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].
% 24.25/24.50 83 (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].
% 24.25/24.50 84 (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].
% 24.25/24.50 86 (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].
% 24.25/24.50 90 (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].
% 24.25/24.50 94 (all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != C & (all D (m1_filter_0(D,A) -> -(v1_filter_0(D,A) & (r2_hidden(B,D) & -r2_hidden(C,D) | -r2_hidden(B,D) & r2_hidden(C,D)))))))))))) # label(t60_filter_0) # label(axiom) # label(non_clause). [assumption].
% 24.25/24.50 98 -(all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> -(B != C & (all D (m2_filter_2(D,A) -> -(r2_filter_2(A,D) & (r2_hidden(B,D) & -r2_hidden(C,D) | -r2_hidden(B,D) & r2_hidden(C,D)))))))))))) # label(t60_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 24.25/24.50 100 -l3_lattices(A) | -v3_lattices(A) | g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(1)].
% 24.25/24.50 101 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(20)].
% 24.25/24.50 220 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_lattice4(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m2_lattice4) # label(axiom). [clausify(36)].
% 24.25/24.50 221 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m2_filter_2) # label(axiom). [clausify(35)].
% 24.25/24.50 227 -l1_lattices(A) | m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(38)].
% 24.25/24.50 229 -l2_lattices(A) | m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(40)].
% 24.25/24.50 231 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(86)].
% 24.25/24.50 241 -l3_lattices(A) | k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) # label(d2_lattice2) # label(axiom). [clausify(13)].
% 24.25/24.50 242 -l3_lattices(A) | g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) = k1_lattice2(A). [copy(241),flip(b)].
% 24.25/24.50 243 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(14)].
% 24.25/24.50 244 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k7_filter_2(A,B) = B # label(d6_filter_2) # label(axiom). [clausify(15)].
% 24.25/24.50 245 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(16)].
% 24.25/24.50 247 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(18)].
% 24.25/24.50 248 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(20)].
% 24.25/24.50 249 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(24)].
% 24.25/24.50 252 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(30)].
% 24.25/24.50 253 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(30)].
% 24.25/24.50 255 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m1_filter_0) # label(axiom). [clausify(31)].
% 24.25/24.50 257 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(38)].
% 24.25/24.50 258 -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(38)].
% 24.25/24.50 259 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(40)].
% 24.25/24.50 260 -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(40)].
% 24.25/24.50 269 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(53)].
% 24.25/24.50 278 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | v17_lattices(k1_lattice2(A)) # label(fc4_filter_2) # label(axiom). [clausify(60)].
% 24.25/24.50 280 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(64)].
% 24.25/24.50 281 -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(65)].
% 24.25/24.50 283 -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(65)].
% 24.25/24.50 323 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(83)].
% 24.25/24.50 324 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(84)].
% 24.25/24.50 325 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(324),flip(e)].
% 24.25/24.50 329 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(90)].
% 24.25/24.50 332 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | C = B | m1_filter_0(f12(A,B,C),A) # label(t60_filter_0) # label(axiom). [clausify(94)].
% 24.25/24.50 333 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | C = B | v1_filter_0(f12(A,B,C),A) # label(t60_filter_0) # label(axiom). [clausify(94)].
% 24.25/24.50 334 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | C = B | r2_hidden(B,f12(A,B,C)) | r2_hidden(C,f12(A,B,C)) # label(t60_filter_0) # label(axiom). [clausify(94)].
% 24.25/24.50 335 v3_struct_0(A) | -v10_lattices(A) | -v17_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | C = B | -r2_hidden(C,f12(A,B,C)) | -r2_hidden(B,f12(A,B,C)) # label(t60_filter_0) # label(axiom). [clausify(94)].
% 24.25/24.50 339 -v3_struct_0(c18) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 340 v10_lattices(c18) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 341 v17_lattices(c18) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 342 l3_lattices(c18) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 343 m1_subset_1(c19,u1_struct_0(c18)) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 344 m1_subset_1(c20,u1_struct_0(c18)) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 345 c20 != c19 # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 346 -m2_filter_2(A,c18) | -r2_filter_2(c18,A) | -r2_hidden(c19,A) | r2_hidden(c20,A) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 347 -m2_filter_2(A,c18) | -r2_filter_2(c18,A) | r2_hidden(c19,A) | -r2_hidden(c20,A) # label(t60_filter_2) # label(negated_conjecture). [clausify(98)].
% 24.25/24.50 349 -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | g3_lattices(u1_struct_0(k1_lattice2(A)),u2_lattices(k1_lattice2(A)),u1_lattices(k1_lattice2(A))) = k1_lattice2(A). [resolve(101,b,100,b)].
% 24.25/24.50 420 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(220,d,221,e)].
% 24.25/24.50 421 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(420),merge(e),merge(f),merge(g)].
% 24.25/24.50 434 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(231,a,227,b)].
% 24.25/24.50 435 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(231,a,229,b)].
% 24.25/24.50 564 v10_lattices(k1_lattice2(c18)). [resolve(340,a,280,b),unit_del(a,339),unit_del(b,342)].
% 24.25/24.50 567 v17_lattices(k1_lattice2(c18)). [resolve(341,a,278,c),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 574 -v3_struct_0(k1_lattice2(c18)). [resolve(342,a,269,b),unit_del(a,339)].
% 24.25/24.50 575 l2_lattices(c18). [resolve(342,a,253,a)].
% 24.25/24.50 576 l1_lattices(c18). [resolve(342,a,252,a)].
% 24.25/24.50 577 l3_lattices(k1_lattice2(c18)). [resolve(342,a,248,a)].
% 24.25/24.50 578 g3_lattices(u1_struct_0(c18),u1_lattices(c18),u2_lattices(c18)) = k1_lattice2(c18). [resolve(342,a,242,a)].
% 24.25/24.50 586 m1_subset_1(k5_filter_2(c18,c19),u1_struct_0(k1_lattice2(c18))). [resolve(343,a,249,d),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 587 k5_filter_2(c18,c19) = c19. [resolve(343,a,243,d),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 588 m1_subset_1(c19,u1_struct_0(k1_lattice2(c18))). [back_rewrite(586),rewrite([587(3)])].
% 24.25/24.50 596 m1_subset_1(k5_filter_2(c18,c20),u1_struct_0(k1_lattice2(c18))). [resolve(344,a,249,d),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 597 k5_filter_2(c18,c20) = c20. [resolve(344,a,243,d),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 598 m1_subset_1(c20,u1_struct_0(k1_lattice2(c18))). [back_rewrite(596),rewrite([597(3)])].
% 24.25/24.50 765 m1_relset_1(u2_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(575,a,435,b)].
% 24.25/24.50 770 v1_funct_2(u2_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(575,a,260,a)].
% 24.25/24.50 771 v1_funct_1(u2_lattices(c18)). [resolve(575,a,259,a)].
% 24.25/24.50 774 m1_relset_1(u1_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(576,a,434,b)].
% 24.25/24.50 776 v1_funct_2(u1_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(576,a,258,a)].
% 24.25/24.50 777 v1_funct_1(u1_lattices(c18)). [resolve(576,a,257,a)].
% 24.25/24.50 908 g3_lattices(u1_struct_0(k1_lattice2(c18)),u2_lattices(k1_lattice2(c18)),u1_lattices(k1_lattice2(c18))) = k1_lattice2(c18). [resolve(577,a,349,b),unit_del(a,342)].
% 24.25/24.50 1510 -m1_subset_1(A,u1_struct_0(k1_lattice2(c18))) | c19 = A | r2_hidden(A,f12(k1_lattice2(c18),A,c19)) | r2_hidden(c19,f12(k1_lattice2(c18),A,c19)). [resolve(588,a,334,f),unit_del(a,574),unit_del(b,564),unit_del(c,567),unit_del(d,577)].
% 24.25/24.50 1512 -m1_subset_1(A,u1_struct_0(k1_lattice2(c18))) | c19 = A | v1_filter_0(f12(k1_lattice2(c18),A,c19),k1_lattice2(c18)). [resolve(588,a,333,f),unit_del(a,574),unit_del(b,564),unit_del(c,567),unit_del(d,577)].
% 24.25/24.50 1514 -m1_subset_1(A,u1_struct_0(k1_lattice2(c18))) | c19 = A | m1_filter_0(f12(k1_lattice2(c18),A,c19),k1_lattice2(c18)). [resolve(588,a,332,f),unit_del(a,574),unit_del(b,564),unit_del(c,567),unit_del(d,577)].
% 24.25/24.50 4505 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | g3_lattices(u1_struct_0(c18),A,u2_lattices(c18)) != g3_lattices(B,C,D) | u2_lattices(c18) = D. [resolve(765,a,283,f),flip(f),flip(g),unit_del(d,771),unit_del(e,770)].
% 24.25/24.50 4509 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | g3_lattices(u1_struct_0(c18),A,u2_lattices(c18)) != g3_lattices(B,C,D) | u1_struct_0(c18) = B. [resolve(765,a,281,f),flip(f),flip(g),unit_del(d,771),unit_del(e,770)].
% 24.25/24.50 10632 r2_hidden(c20,f12(k1_lattice2(c18),c20,c19)) | r2_hidden(c19,f12(k1_lattice2(c18),c20,c19)). [resolve(1510,a,598,a),flip(a),unit_del(a,345)].
% 24.25/24.50 10662 v1_filter_0(f12(k1_lattice2(c18),c20,c19),k1_lattice2(c18)). [resolve(1512,a,598,a),flip(a),unit_del(a,345)].
% 24.25/24.50 10686 m1_filter_0(f12(k1_lattice2(c18),c20,c19),k1_lattice2(c18)). [resolve(1514,a,598,a),flip(a),unit_del(a,345)].
% 24.25/24.50 10687 k14_filter_2(c18,f12(k1_lattice2(c18),c20,c19)) = k8_filter_2(c18,f12(k1_lattice2(c18),c20,c19)). [resolve(10686,a,323,d),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 10688 m1_subset_1(f12(k1_lattice2(c18),c20,c19),k1_zfmisc_1(u1_struct_0(k1_lattice2(c18)))). [resolve(10686,a,255,d),unit_del(a,574),unit_del(b,564),unit_del(c,577)].
% 24.25/24.50 10690 m2_filter_2(k8_filter_2(c18,f12(k1_lattice2(c18),c20,c19)),c18). [resolve(10686,a,247,d),rewrite([10687(13)]),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 10719 m1_subset_1(k8_filter_2(c18,f12(k1_lattice2(c18),c20,c19)),k1_zfmisc_1(u1_struct_0(c18))). [resolve(10690,a,421,e),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 10722 k7_filter_2(c18,k8_filter_2(c18,f12(k1_lattice2(c18),c20,c19))) = k15_filter_2(c18,k8_filter_2(c18,f12(k1_lattice2(c18),c20,c19))). [resolve(10690,a,325,d),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 16999 k8_filter_2(c18,f12(k1_lattice2(c18),c20,c19)) = f12(k1_lattice2(c18),c20,c19). [resolve(10688,a,245,d),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 17001 k7_filter_2(c18,f12(k1_lattice2(c18),c20,c19)) = k15_filter_2(c18,f12(k1_lattice2(c18),c20,c19)). [back_rewrite(10722),rewrite([16999(8),16999(15)])].
% 24.25/24.50 17004 m1_subset_1(f12(k1_lattice2(c18),c20,c19),k1_zfmisc_1(u1_struct_0(c18))). [back_rewrite(10719),rewrite([16999(7)])].
% 24.25/24.50 17006 m2_filter_2(f12(k1_lattice2(c18),c20,c19),c18). [back_rewrite(10690),rewrite([16999(7)])].
% 24.25/24.50 17011 k15_filter_2(c18,f12(k1_lattice2(c18),c20,c19)) = f12(k1_lattice2(c18),c20,c19). [resolve(17004,a,244,d),rewrite([17001(13)]),unit_del(a,339),unit_del(b,340),unit_del(c,342)].
% 24.25/24.50 28269 g3_lattices(A,B,C) != k1_lattice2(c18) | u2_lattices(c18) = C. [resolve(4505,c,774,a),rewrite([578(20)]),flip(c),unit_del(a,777),unit_del(b,776)].
% 24.25/24.50 28293 g3_lattices(A,B,C) != k1_lattice2(c18) | u1_struct_0(c18) = A. [resolve(4509,c,774,a),rewrite([578(20)]),flip(c),unit_del(a,777),unit_del(b,776)].
% 24.25/24.50 28296 u1_lattices(k1_lattice2(c18)) = u2_lattices(c18). [resolve(28269,a,908,a),flip(a)].
% 24.25/24.50 28390 g3_lattices(u1_struct_0(k1_lattice2(c18)),u2_lattices(k1_lattice2(c18)),u2_lattices(c18)) = k1_lattice2(c18). [back_rewrite(908),rewrite([28296(9)])].
% 24.25/24.50 29722 u1_struct_0(k1_lattice2(c18)) = u1_struct_0(c18). [resolve(28390,a,28293,a),flip(a)].
% 24.25/24.50 31577 r2_filter_2(c18,f12(k1_lattice2(c18),c20,c19)). [para(17011(a,1),329(f,1)),unit_del(a,339),unit_del(b,340),unit_del(c,342),unit_del(d,17006),unit_del(f,10662)].
% 24.25/24.50 31578 r2_hidden(c19,f12(k1_lattice2(c18),c20,c19)) | -r2_hidden(c20,f12(k1_lattice2(c18),c20,c19)). [resolve(31577,a,347,b),unit_del(a,17006)].
% 24.25/24.50 31579 -r2_hidden(c19,f12(k1_lattice2(c18),c20,c19)) | r2_hidden(c20,f12(k1_lattice2(c18),c20,c19)). [resolve(31577,a,346,b),unit_del(a,17006)].
% 24.25/24.50 36066 r2_hidden(c19,f12(k1_lattice2(c18),c20,c19)). [resolve(31578,b,10632,a),merge(b)].
% 24.25/24.50 36067 r2_hidden(c20,f12(k1_lattice2(c18),c20,c19)). [back_unit_del(31579),unit_del(a,36066)].
% 24.25/24.50 36068 $F. [resolve(36066,a,335,h),rewrite([29722(16),29722(20)]),flip(g),unit_del(a,574),unit_del(b,564),unit_del(c,567),unit_del(d,577),unit_del(e,344),unit_del(f,343),unit_del(g,345),unit_del(h,36067)].
% 24.25/24.50
% 24.25/24.50 % SZS output end Refutation
% 24.25/24.50 ============================== end of proof ==========================
% 24.25/24.50
% 24.25/24.50 ============================== STATISTICS ============================
% 24.25/24.50
% 24.25/24.50 Given=15448. Generated=102431. Kept=35780. proofs=1.
% 24.25/24.50 Usable=7375. Sos=7989. Demods=1333. Limbo=0, Disabled=20834. Hints=0.
% 24.25/24.50 Megabytes=38.02.
% 24.25/24.50 User_CPU=23.47, System_CPU=0.07, Wall_clock=23.
% 24.25/24.50
% 24.25/24.50 ============================== end of statistics =====================
% 24.25/24.50
% 24.25/24.50 ============================== end of search =========================
% 24.25/24.50
% 24.25/24.50 THEOREM PROVED
% 24.25/24.50 % SZS status Theorem
% 24.25/24.50
% 24.25/24.50 Exiting with 1 proof.
% 24.25/24.50
% 24.25/24.50 Process 31884 exit (max_proofs) Wed Jun 29 09:45:42 2022
% 24.25/24.50 Prover9 interrupted
%------------------------------------------------------------------------------