TSTP Solution File: LAT309+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT309+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n004.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 06:27:17 EDT 2022
% Result : Theorem 3.22s 3.55s
% Output : Refutation 3.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT309+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 19:59:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/1.04 ============================== Prover9 ===============================
% 0.77/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.04 Process 19991 was started by sandbox2 on n004.cluster.edu,
% 0.77/1.04 Wed Jun 29 19:59:38 2022
% 0.77/1.04 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_19821_n004.cluster.edu".
% 0.77/1.04 ============================== end of head ===========================
% 0.77/1.04
% 0.77/1.04 ============================== INPUT =================================
% 0.77/1.04
% 0.77/1.04 % Reading from file /tmp/Prover9_19821_n004.cluster.edu
% 0.77/1.04
% 0.77/1.04 set(prolog_style_variables).
% 0.77/1.04 set(auto2).
% 0.77/1.04 % set(auto2) -> set(auto).
% 0.77/1.04 % set(auto) -> set(auto_inference).
% 0.77/1.04 % set(auto) -> set(auto_setup).
% 0.77/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.77/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.04 % set(auto) -> set(auto_limits).
% 0.77/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.04 % set(auto) -> set(auto_denials).
% 0.77/1.04 % set(auto) -> set(auto_process).
% 0.77/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.77/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.77/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.77/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.77/1.04 % set(auto2) -> assign(stats, some).
% 0.77/1.04 % set(auto2) -> clear(echo_input).
% 0.77/1.04 % set(auto2) -> set(quiet).
% 0.77/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.04 % set(auto2) -> clear(print_given).
% 0.77/1.04 assign(lrs_ticks,-1).
% 0.77/1.04 assign(sos_limit,10000).
% 0.77/1.04 assign(order,kbo).
% 0.77/1.04 set(lex_order_vars).
% 0.77/1.04 clear(print_given).
% 0.77/1.04
% 0.77/1.04 % formulas(sos). % not echoed (96 formulas)
% 0.77/1.04
% 0.77/1.04 ============================== end of input ==========================
% 0.77/1.04
% 0.77/1.04 % From the command line: assign(max_seconds, 300).
% 0.77/1.04
% 0.77/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.04
% 0.77/1.04 % Formulas that are not ordinary clauses:
% 0.77/1.04 1 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 4 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 5 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 6 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 7 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 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].
% 0.77/1.04 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].
% 0.77/1.04 10 (all A (l3_lattices(A) -> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(d2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 11 (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].
% 0.77/1.04 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 13 (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].
% 0.77/1.04 14 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 15 (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].
% 0.77/1.04 16 (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].
% 0.77/1.04 17 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 18 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 19 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 20 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 21 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 22 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 23 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 24 (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].
% 0.77/1.04 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(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].
% 0.77/1.04 26 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 27 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 28 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 29 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 30 (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].
% 0.77/1.04 31 (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].
% 0.77/1.04 32 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 33 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 34 (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].
% 0.77/1.04 35 (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].
% 0.77/1.04 36 (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].
% 0.77/1.04 37 (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].
% 0.77/1.04 38 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 39 (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].
% 0.77/1.04 40 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 41 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 42 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 43 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 44 (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].
% 0.77/1.04 45 (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].
% 0.77/1.04 46 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 47 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 48 (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].
% 0.77/1.04 49 (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].
% 0.77/1.04 50 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 51 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 52 (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].
% 0.77/1.04 53 (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].
% 0.77/1.04 54 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 55 (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].
% 0.77/1.04 56 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 57 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 58 (all A all B all C (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 59 (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].
% 0.77/1.04 60 (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].
% 0.77/1.04 61 (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].
% 0.77/1.04 62 (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].
% 0.77/1.04 63 (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].
% 0.77/1.04 64 (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].
% 0.77/1.04 65 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 66 (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].
% 0.77/1.04 67 (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].
% 0.77/1.04 68 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 69 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 70 (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].
% 0.77/1.04 71 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 72 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 73 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 74 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 75 (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].
% 0.77/1.05 76 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 77 (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].
% 0.77/1.05 78 (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].
% 0.77/1.05 79 (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].
% 0.77/1.05 80 (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].
% 0.77/1.05 81 (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].
% 0.77/1.05 82 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 83 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 84 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & B != k5_lattices(A) & (all C (m1_filter_0(C,A) -> -(r2_hidden(B,C) & v1_filter_0(C,A))))))))) # label(t24_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 85 (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].
% 0.77/1.05 86 (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].
% 0.77/1.05 87 (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].
% 0.77/1.05 88 (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].
% 0.77/1.05 89 (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].
% 0.77/1.05 90 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) <-> v13_lattices(k1_lattice2(A))))) # label(t64_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 91 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 92 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> k6_lattices(A) = k5_lattices(k1_lattice2(A)))) # label(t79_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 93 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 94 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.05 95 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v14_lattices(A) & B != k6_lattices(A) & (all C (m2_filter_2(C,A) -> -(r2_hidden(B,C) & r2_filter_2(A,C))))))))) # label(t36_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.77/1.05
% 0.77/1.05 ============================== end of process non-clausal formulas ===
% 0.77/1.05
% 0.77/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.05
% 0.77/1.05 ============================== PREDICATE ELIMINATION =================
% 0.77/1.05 96 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_lattices(g3_lattices(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(14)].
% 0.77/1.05 97 -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)].
% 0.77/1.05 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -l3_lattices(g3_lattices(B,A,C)) | g3_lattices(u1_struct_0(g3_lattices(B,A,C)),u2_lattices(g3_lattices(B,A,C)),u1_lattices(g3_lattices(B,A,C))) = g3_lattices(B,A,C). [resolve(96,g,97,b)].
% 0.77/1.05 98 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(17)].
% 0.77/1.05 Derived: -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | g3_lattices(u1_struct_0(k1_lattice2(A)),u2_lattices(k1_lattice2(A)),u1_lattices(k1_lattice2(A))) = k1_lattice2(A). [resolve(98,b,97,b)].
% 0.77/1.05 99 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(52)].
% 0.77/1.05 100 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A) | v3_lattices(g3_lattices(A,B,C)) # label(fc3_lattices) # label(axiom). [clausify(58)].
% 0.77/1.05 101 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(62)].
% 0.77/1.05 102 v3_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(64)].
% 0.77/1.05 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(102,a,97,b)].
% 0.77/1.05 103 v3_lattices(c11) # label(rc3_lattices) # label(axiom). [clausify(73)].
% 0.77/1.05 Derived: -l3_lattices(c11) | g3_lattices(u1_struct_0(c11),u2_lattices(c11),u1_lattices(c11)) = c11. [resolve(103,a,97,b)].
% 0.77/1.05 104 v3_lattices(c13) # label(rc6_lattices) # label(axiom). [clausify(76)].
% 0.77/1.05 Derived: -l3_lattices(c13) | g3_lattices(u1_struct_0(c13),u2_lattices(c13),u1_lattices(c13)) = c13. [resolve(104,a,97,b)].
% 0.77/1.05 105 v3_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(77)].
% 0.77/1.05 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(105,a,97,b)].
% 0.77/1.05 106 -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)].
% 0.77/1.05 107 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.05 108 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(56)].
% 0.77/1.05 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(108,b,107,d)].
% 0.77/1.05 109 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(56)].
% 0.77/1.05 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(109,b,107,d)].
% 0.77/1.05 110 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(56)].
% 0.77/1.05 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(110,b,107,d)].
% 0.77/1.05 111 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(56)].
% 0.77/1.05 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(111,b,107,d)].
% 0.77/1.05 112 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(56)].
% 0.77/1.05 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(112,b,107,d)].
% 0.77/1.05 113 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(62)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(113,d,108,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))). [resolve(113,d,109,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_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(113,d,110,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(113,d,111,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_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(113,d,112,b)].
% 0.77/1.05 114 v4_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(64)].
% 0.77/1.05 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(114,a,108,b)].
% 0.77/1.05 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(114,a,109,b)].
% 0.77/1.05 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(114,a,110,b)].
% 0.77/1.05 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(114,a,111,b)].
% 0.77/1.05 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(114,a,112,b)].
% 0.77/1.05 115 v4_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(77)].
% 0.77/1.05 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_relat_1(u2_lattices(c14)). [resolve(115,a,108,b)].
% 0.77/1.05 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_funct_1(u2_lattices(c14)). [resolve(115,a,109,b)].
% 0.77/1.05 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_funct_2(u2_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(115,a,110,b)].
% 0.77/1.05 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_binop_1(u2_lattices(c14),u1_struct_0(c14)). [resolve(115,a,111,b)].
% 0.77/1.05 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v1_partfun1(u2_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(115,a,112,b)].
% 0.77/1.05 116 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(57)].
% 0.77/1.05 117 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.05 118 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(57)].
% 0.77/1.05 119 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(57)].
% 0.77/1.05 120 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(57)].
% 0.77/1.05 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(120,b,117,d)].
% 0.77/1.05 121 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(57)].
% 0.77/1.06 122 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(62)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v2_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(122,d,120,b)].
% 0.77/1.06 123 v5_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(64)].
% 0.77/1.06 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(123,a,120,b)].
% 0.77/1.06 124 v5_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(77)].
% 0.77/1.06 Derived: v3_struct_0(c14) | -l2_lattices(c14) | v2_binop_1(u2_lattices(c14),u1_struct_0(c14)). [resolve(124,a,120,b)].
% 0.77/1.06 125 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(59)].
% 0.77/1.06 126 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.06 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(125,b,126,d)].
% 0.77/1.06 127 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(59)].
% 0.77/1.06 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(127,b,126,d)].
% 0.77/1.06 128 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(59)].
% 0.77/1.06 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(128,b,126,d)].
% 0.77/1.06 129 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(59)].
% 0.77/1.06 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_binop_1(u1_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(129,b,126,d)].
% 0.77/1.06 130 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(59)].
% 0.77/1.06 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(130,b,126,d)].
% 0.77/1.06 131 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(62)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))). [resolve(131,d,125,b)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_1(u1_lattices(k1_lattice2(A))). [resolve(131,d,127,b)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_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(131,d,128,b)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(131,d,129,b)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_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(131,d,130,b)].
% 0.77/1.06 132 v6_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(64)].
% 0.77/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(132,a,125,b)].
% 0.77/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(132,a,127,b)].
% 0.77/1.07 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(132,a,128,b)].
% 0.77/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(132,a,129,b)].
% 0.77/1.07 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(132,a,130,b)].
% 0.77/1.07 133 v6_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(77)].
% 0.77/1.07 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_relat_1(u1_lattices(c14)). [resolve(133,a,125,b)].
% 0.77/1.07 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_funct_1(u1_lattices(c14)). [resolve(133,a,127,b)].
% 0.77/1.07 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_funct_2(u1_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(133,a,128,b)].
% 0.77/1.07 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_binop_1(u1_lattices(c14),u1_struct_0(c14)). [resolve(133,a,129,b)].
% 0.77/1.07 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v1_partfun1(u1_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(133,a,130,b)].
% 0.77/1.07 134 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(61)].
% 0.77/1.07 135 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.07 136 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(61)].
% 0.77/1.07 137 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(61)].
% 0.77/1.07 138 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(61)].
% 0.77/1.07 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(138,b,135,d)].
% 0.77/1.07 139 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(61)].
% 0.77/1.07 140 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(62)].
% 0.77/1.07 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(140,d,138,b)].
% 0.77/1.07 141 v7_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(64)].
% 0.77/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(141,a,138,b)].
% 0.77/1.07 142 v7_lattices(c14) # label(rc9_lattices) # label(axiom). [clausify(77)].
% 0.77/1.07 Derived: v3_struct_0(c14) | -l1_lattices(c14) | v2_binop_1(u1_lattices(c14),u1_struct_0(c14)). [resolve(142,a,138,b)].
% 0.77/1.07 143 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.77/1.07 144 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.77/1.07 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(143,a,144,b)].
% 0.77/1.07 145 v1_relat_1(c6) # label(rc1_funct_1) # label(axiom). [clausify(65)].
% 0.77/1.07 Derived: -v1_xboole_0(c6) | -v1_funct_1(c6) | v2_funct_1(c6). [resolve(145,a,143,a)].
% 0.77/1.07 146 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(69)].
% 0.77/1.07 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(146,a,143,a)].
% 0.77/1.07 147 v1_relat_1(c10) # label(rc3_funct_1) # label(axiom). [clausify(72)].
% 0.77/1.07 148 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(108,b,107,d)].
% 0.77/1.08 Derived: v3_struct_0(A) | -l2_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v1_xboole_0(u2_lattices(A)) | -v1_funct_1(u2_lattices(A)) | v2_funct_1(u2_lattices(A)). [resolve(148,c,143,a)].
% 0.77/1.08 149 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(113,d,108,b)].
% 0.77/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -v1_xboole_0(u2_lattices(k1_lattice2(A))) | -v1_funct_1(u2_lattices(k1_lattice2(A))) | v2_funct_1(u2_lattices(k1_lattice2(A))). [resolve(149,f,143,a)].
% 0.77/1.08 150 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(114,a,108,b)].
% 0.77/1.08 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(150,c,143,a)].
% 0.77/1.08 151 v3_struct_0(c14) | -l2_lattices(c14) | v1_relat_1(u2_lattices(c14)). [resolve(115,a,108,b)].
% 0.77/1.08 Derived: v3_struct_0(c14) | -l2_lattices(c14) | -v1_xboole_0(u2_lattices(c14)) | -v1_funct_1(u2_lattices(c14)) | v2_funct_1(u2_lattices(c14)). [resolve(151,c,143,a)].
% 0.77/1.08 152 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(125,b,126,d)].
% 0.77/1.08 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(152,c,143,a)].
% 0.77/1.08 153 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(131,d,125,b)].
% 0.77/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -v1_xboole_0(u1_lattices(k1_lattice2(A))) | -v1_funct_1(u1_lattices(k1_lattice2(A))) | v2_funct_1(u1_lattices(k1_lattice2(A))). [resolve(153,f,143,a)].
% 0.77/1.08 154 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(132,a,125,b)].
% 0.77/1.08 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(154,c,143,a)].
% 0.77/1.08 155 v3_struct_0(c14) | -l1_lattices(c14) | v1_relat_1(u1_lattices(c14)). [resolve(133,a,125,b)].
% 0.77/1.08 Derived: v3_struct_0(c14) | -l1_lattices(c14) | -v1_xboole_0(u1_lattices(c14)) | -v1_funct_1(u1_lattices(c14)) | v2_funct_1(u1_lattices(c14)). [resolve(155,c,143,a)].
% 0.77/1.08 156 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v14_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.77/1.08 157 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.77/1.08 158 v14_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(64)].
% 0.77/1.08 159 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(90)].
% 0.77/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(159,d,156,d)].
% 0.77/1.08 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v13_lattices(k1_lattice2(c5)). [resolve(159,d,158,a)].
% 0.77/1.08 160 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v14_lattices(A) | -v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(90)].
% 0.77/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | v15_lattices(A). [resolve(160,d,157,d)].
% 0.77/1.08 161 v3_struct_0(A) | -v10_lattices(A) | -v14_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) # label(t79_lattice2) # label(axiom). [clausify(92)].
% 0.77/1.08 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(161,c,156,d)].
% 0.82/1.09 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | k6_lattices(c5) = k5_lattices(k1_lattice2(c5)). [resolve(161,c,158,a)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(k1_lattice2(A)). [resolve(161,c,160,d)].
% 0.82/1.09 162 v14_lattices(c15) # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 0.82/1.09 Derived: -l3_lattices(c15) | v3_struct_0(c15) | -v13_lattices(c15) | v15_lattices(c15). [resolve(162,a,157,d)].
% 0.82/1.09 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v13_lattices(k1_lattice2(c15)). [resolve(162,a,159,d)].
% 0.82/1.09 Derived: v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | k6_lattices(c15) = k5_lattices(k1_lattice2(c15)). [resolve(162,a,161,c)].
% 0.82/1.09 163 v15_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(64)].
% 0.82/1.09 164 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.82/1.09 Derived: -l3_lattices(c5) | v3_struct_0(c5) | v13_lattices(c5). [resolve(163,a,164,c)].
% 0.82/1.09 165 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(159,d,156,d)].
% 0.82/1.09 166 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | v15_lattices(A). [resolve(160,d,157,d)].
% 0.82/1.09 167 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(161,c,156,d)].
% 0.82/1.09 168 -l3_lattices(c15) | v3_struct_0(c15) | -v13_lattices(c15) | v15_lattices(c15). [resolve(162,a,157,d)].
% 0.82/1.09 169 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_2) # label(axiom). [clausify(31)].
% 0.82/1.09 170 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(16)].
% 0.82/1.09 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(169,d,170,e)].
% 0.82/1.09 171 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(31)].
% 0.82/1.09 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(171,d,170,e)].
% 0.82/1.09 172 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f2(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(45)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f2(A)). [resolve(172,d,169,d)].
% 0.82/1.09 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f2(A),A). [resolve(172,d,171,d)].
% 0.82/1.09 173 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(80)].
% 0.82/1.09 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(173,d,170,e)].
% 0.82/1.09 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(173,d,172,d)].
% 0.82/1.09 174 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(80)].
% 0.82/1.09 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(174,d,169,d)].
% 0.82/1.10 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) | m2_lattice4(B,A). [resolve(174,d,171,d)].
% 0.82/1.10 175 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(53)].
% 0.82/1.10 176 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(26)].
% 0.82/1.10 177 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(28)].
% 0.82/1.10 178 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(41)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(175,b,176,b)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(175,b,177,b)].
% 0.82/1.10 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(175,b,178,a)].
% 0.82/1.10 179 l1_struct_0(c12) # label(rc3_struct_0) # label(axiom). [clausify(74)].
% 0.82/1.10 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(179,a,175,b)].
% 0.82/1.10 180 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(75)].
% 0.82/1.10 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(180,b,176,b)].
% 0.82/1.10 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(180,b,177,b)].
% 0.82/1.10 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(180,b,178,a)].
% 0.82/1.10 Derived: v3_struct_0(c12) | m1_subset_1(f11(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(180,b,179,a)].
% 0.82/1.10 181 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(75)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_lattices(A). [resolve(181,b,176,b)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l2_lattices(A). [resolve(181,b,177,b)].
% 0.82/1.10 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(181,b,178,a)].
% 0.82/1.10 Derived: v3_struct_0(c12) | -v1_xboole_0(f11(c12)). [resolve(181,b,179,a)].
% 0.82/1.10 182 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(35)].
% 0.82/1.10 183 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(34)].
% 0.82/1.10 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(182,d,183,e)].
% 0.82/1.10 184 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(49)].
% 0.82/1.10 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(184,d,182,d)].
% 0.82/1.10 185 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f8(A),A) # label(rc1_lattice4) # label(axiom). [clausify(66)].
% 0.82/1.10 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(185,d,182,d)].
% 0.82/1.10 186 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(171,d,170,e)].
% 0.82/1.10 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(186,d,182,d)].
% 0.82/1.10 187 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(172,d,171,d)].
% 3.22/3.55 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(187,g,182,d)].
% 3.22/3.55 188 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(174,d,171,d)].
% 3.22/3.55 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(188,h,182,d)].
% 3.22/3.55 189 -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(37)].
% 3.22/3.55 190 -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(36)].
% 3.22/3.55 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(189,b,190,a)].
% 3.22/3.55 191 -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(39)].
% 3.22/3.55 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(191,b,190,a)].
% 3.22/3.55 192 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(50)].
% 3.22/3.55 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(192,a,190,a)].
% 3.22/3.55 193 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(81)].
% 3.22/3.55 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(193,a,189,b)].
% 3.22/3.55 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(193,a,191,b)].
% 3.22/3.55 Derived: m1_relset_1(f7(A,B),A,B). [resolve(193,a,192,a)].
% 3.22/3.55 194 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(81)].
% 3.22/3.55 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(194,a,190,a)].
% 3.22/3.55 195 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(87)].
% 3.22/3.55 196 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(82)].
% 3.22/3.55 197 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(87)].
% 3.22/3.55 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(195,b,196,a)].
% 3.22/3.55
% 3.22/3.55 ============================== end predicate elimination =============
% 3.22/3.55
% 3.22/3.55 Auto_denials: (non-Horn, no changes).
% 3.22/3.55
% 3.22/3.55 Term ordering decisions:
% 3.22/3.55 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. k2_zfmisc_1=1. k15_filter_2=1. k7_filter_2=1. k8_filter_2=1. k14_filter_2=1. k5_filter_2=1. f3=1. f7=1. f12=1. u1_struct_0=1. k1_lattice2=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. k5_lattices=1. k6_lattices=1. f1=1. f2=1. f4=1. f5=1. f6=1. f8=1. f9=1. f10=1. f11=1. g3_lattices=1.
% 3.22/3.55
% 3.22/3.55 ============================== end of process initial clauses ========
% 3.22/3.55
% 3.22/3.55 ============================== CLAUSES FOR SEARCH ====================
% 3.22/3.55
% 3.22/3.55 ============================== end of clauses for search =============
% 3.22/3.55
% 3.22/3.55 ============================== SEARCH ================================
% 3.22/3.55
% 3.22/3.55 % Starting search at 0.11 seconds.
% 3.22/3.55
% 3.22/3.55 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 2147483647 (0.00 of 0.21 sec).
% 3.22/3.55
% 3.22/3.55 Low Water (keep): wt=67.000, iters=3335
% 3.22/3.55
% 3.22/3.55 Low Water (keep): wt=37.000, iters=3367
% 3.22/3.55
% 3.22/3.55 Low Water (keep): wt=30.000, iters=3337
% 3.22/3.55
% 3.22/3.55 Low Water (keep): wt=29.000, iters=3548
% 3.22/3.55
% 3.22/3.55 Low Water (keep): wt=27.000, iters=3609
% 3.22/3.55
% 3.22/3.55 Low Water (keep): wt=25.000, iters=3377
% 3.22/3.55
% 3.22/3.55 ============================== PROOF =================================
% 3.22/3.55 % SZS status Theorem
% 3.22/3.55 % SZS output start Refutation
% 3.22/3.55
% 3.22/3.55 % Proof 1 at 2.51 (+ 0.02) seconds.
% 3.22/3.55 % Length of proof is 72.
% 3.22/3.55 % Level of proof is 11.
% 3.22/3.55 % Maximum clause weight is 21.000.
% 3.22/3.55 % Given clauses 4141.
% 3.22/3.55
% 3.22/3.55 11 (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].
% 3.22/3.55 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.22/3.55 13 (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].
% 3.22/3.55 15 (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].
% 3.22/3.55 17 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 3.22/3.55 21 (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].
% 3.22/3.55 30 (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].
% 3.22/3.55 34 (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].
% 3.22/3.55 35 (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].
% 3.22/3.55 52 (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].
% 3.22/3.55 62 (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].
% 3.22/3.55 78 (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].
% 3.22/3.55 79 (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].
% 3.22/3.55 84 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) & B != k5_lattices(A) & (all C (m1_filter_0(C,A) -> -(r2_hidden(B,C) & v1_filter_0(C,A))))))))) # label(t24_filter_0) # label(axiom) # label(non_clause). [assumption].
% 3.22/3.55 86 (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].
% 3.22/3.55 90 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v14_lattices(A) <-> v13_lattices(k1_lattice2(A))))) # label(t64_lattice2) # label(axiom) # label(non_clause). [assumption].
% 3.22/3.55 92 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> k6_lattices(A) = k5_lattices(k1_lattice2(A)))) # label(t79_lattice2) # label(axiom) # label(non_clause). [assumption].
% 3.22/3.55 95 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> -(v14_lattices(A) & B != k6_lattices(A) & (all C (m2_filter_2(C,A) -> -(r2_hidden(B,C) & r2_filter_2(A,C))))))))) # label(t36_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 3.22/3.55 159 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v13_lattices(k1_lattice2(A)) # label(t64_lattice2) # label(axiom). [clausify(90)].
% 3.22/3.55 161 v3_struct_0(A) | -v10_lattices(A) | -v14_lattices(A) | -l3_lattices(A) | k6_lattices(A) = k5_lattices(k1_lattice2(A)) # label(t79_lattice2) # label(axiom). [clausify(92)].
% 3.22/3.55 162 v14_lattices(c15) # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 3.22/3.55 182 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(35)].
% 3.22/3.55 183 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(34)].
% 3.22/3.55 202 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(11)].
% 3.22/3.55 203 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(12)].
% 3.22/3.55 204 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(13)].
% 3.22/3.55 206 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(15)].
% 3.22/3.55 207 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(17)].
% 3.22/3.55 208 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(21)].
% 3.22/3.55 216 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(30)].
% 3.22/3.55 230 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(52)].
% 3.22/3.55 236 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(62)].
% 3.22/3.55 262 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(78)].
% 3.22/3.55 263 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(79)].
% 3.22/3.55 264 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(263),flip(e)].
% 3.22/3.55 266 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -v13_lattices(A) | k5_lattices(A) = B | m1_filter_0(f12(A,B),A) # label(t24_filter_0) # label(axiom). [clausify(84)].
% 3.22/3.55 267 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -v13_lattices(A) | k5_lattices(A) = B | r2_hidden(B,f12(A,B)) # label(t24_filter_0) # label(axiom). [clausify(84)].
% 3.22/3.55 268 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -v13_lattices(A) | k5_lattices(A) = B | v1_filter_0(f12(A,B),A) # label(t24_filter_0) # label(axiom). [clausify(84)].
% 3.22/3.55 271 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(86)].
% 3.22/3.55 277 -v3_struct_0(c15) # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 3.22/3.55 278 v10_lattices(c15) # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 3.22/3.55 279 l3_lattices(c15) # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 3.22/3.55 280 m1_subset_1(c16,u1_struct_0(c15)) # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 3.22/3.55 281 k6_lattices(c15) != c16 # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 3.22/3.55 282 -m2_filter_2(A,c15) | -r2_hidden(c16,A) | -r2_filter_2(c15,A) # label(t36_filter_2) # label(negated_conjecture). [clausify(95)].
% 3.22/3.55 311 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | v13_lattices(k1_lattice2(c15)). [resolve(162,a,159,d)].
% 3.22/3.55 312 v13_lattices(k1_lattice2(c15)). [copy(311),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 313 v3_struct_0(c15) | -v10_lattices(c15) | -l3_lattices(c15) | k6_lattices(c15) = k5_lattices(k1_lattice2(c15)). [resolve(162,a,161,c)].
% 3.22/3.55 314 k5_lattices(k1_lattice2(c15)) = k6_lattices(c15). [copy(313),flip(d),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 338 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(182,d,183,e)].
% 3.22/3.55 339 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(338),merge(e),merge(f),merge(g)].
% 3.22/3.55 453 v10_lattices(k1_lattice2(c15)). [resolve(278,a,236,b),unit_del(a,277),unit_del(b,279)].
% 3.22/3.55 456 -v3_struct_0(k1_lattice2(c15)). [resolve(279,a,230,b),unit_del(a,277)].
% 3.22/3.55 459 l3_lattices(k1_lattice2(c15)). [resolve(279,a,207,a)].
% 3.22/3.55 465 m1_subset_1(k5_filter_2(c15,c16),u1_struct_0(k1_lattice2(c15))). [resolve(280,a,208,d),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 466 k5_filter_2(c15,c16) = c16. [resolve(280,a,202,d),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 467 m1_subset_1(c16,u1_struct_0(k1_lattice2(c15))). [back_rewrite(465),rewrite([466(3)])].
% 3.22/3.55 1001 v1_filter_0(f12(k1_lattice2(c15),c16),k1_lattice2(c15)). [resolve(467,a,268,d),rewrite([314(15)]),unit_del(a,456),unit_del(b,453),unit_del(c,459),unit_del(d,312),unit_del(e,281)].
% 3.22/3.55 1002 r2_hidden(c16,f12(k1_lattice2(c15),c16)). [resolve(467,a,267,d),rewrite([314(15)]),unit_del(a,456),unit_del(b,453),unit_del(c,459),unit_del(d,312),unit_del(e,281)].
% 3.22/3.55 1003 m1_filter_0(f12(k1_lattice2(c15),c16),k1_lattice2(c15)). [resolve(467,a,266,d),rewrite([314(15)]),unit_del(a,456),unit_del(b,453),unit_del(c,459),unit_del(d,312),unit_del(e,281)].
% 3.22/3.55 1955 k14_filter_2(c15,f12(k1_lattice2(c15),c16)) = k8_filter_2(c15,f12(k1_lattice2(c15),c16)). [resolve(1003,a,262,d),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 1956 m1_subset_1(f12(k1_lattice2(c15),c16),k1_zfmisc_1(u1_struct_0(k1_lattice2(c15)))). [resolve(1003,a,216,d),unit_del(a,456),unit_del(b,453),unit_del(c,459)].
% 3.22/3.55 1957 m2_filter_2(k8_filter_2(c15,f12(k1_lattice2(c15),c16)),c15). [resolve(1003,a,206,d),rewrite([1955(12)]),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 3635 m1_subset_1(k8_filter_2(c15,f12(k1_lattice2(c15),c16)),k1_zfmisc_1(u1_struct_0(c15))). [resolve(1957,a,339,e),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 3638 k7_filter_2(c15,k8_filter_2(c15,f12(k1_lattice2(c15),c16))) = k15_filter_2(c15,k8_filter_2(c15,f12(k1_lattice2(c15),c16))). [resolve(1957,a,264,d),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 5141 k8_filter_2(c15,f12(k1_lattice2(c15),c16)) = f12(k1_lattice2(c15),c16). [resolve(1956,a,204,d),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 5143 k7_filter_2(c15,f12(k1_lattice2(c15),c16)) = k15_filter_2(c15,f12(k1_lattice2(c15),c16)). [back_rewrite(3638),rewrite([5141(7),5141(13)])].
% 3.22/3.55 5146 m1_subset_1(f12(k1_lattice2(c15),c16),k1_zfmisc_1(u1_struct_0(c15))). [back_rewrite(3635),rewrite([5141(6)])].
% 3.22/3.55 5148 m2_filter_2(f12(k1_lattice2(c15),c16),c15). [back_rewrite(1957),rewrite([5141(6)])].
% 3.22/3.55 5152 k15_filter_2(c15,f12(k1_lattice2(c15),c16)) = f12(k1_lattice2(c15),c16). [resolve(5146,a,203,d),rewrite([5143(12)]),unit_del(a,277),unit_del(b,278),unit_del(c,279)].
% 3.22/3.55 11925 r2_filter_2(c15,f12(k1_lattice2(c15),c16)). [para(5152(a,1),271(f,1)),unit_del(a,277),unit_del(b,278),unit_del(c,279),unit_del(d,5148),unit_del(f,1001)].
% 3.22/3.55 11926 $F. [resolve(11925,a,282,c),unit_del(a,5148),unit_del(b,1002)].
% 3.22/3.55
% 3.22/3.55 % SZS output end Refutation
% 3.22/3.55 ============================== end of proof ==========================
% 3.22/3.55
% 3.22/3.55 ============================== STATISTICS ============================
% 3.22/3.55
% 3.22/3.55 Given=4141. Generated=18040. Kept=11692. proofs=1.
% 3.22/3.55 Usable=4079. Sos=5701. Demods=1384. Limbo=0, Disabled=2201. Hints=0.
% 3.22/3.55 Megabytes=17.27.
% 3.22/3.55 User_CPU=2.51, System_CPU=0.02, Wall_clock=3.
% 3.22/3.55
% 3.22/3.55 ============================== end of statistics =====================
% 3.22/3.55
% 3.22/3.55 ============================== end of search =========================
% 3.22/3.55
% 3.22/3.55 THEOREM PROVED
% 3.22/3.55 % SZS status Theorem
% 3.22/3.55
% 3.22/3.55 Exiting with 1 proof.
% 3.22/3.55
% 3.22/3.55 Process 19991 exit (max_proofs) Wed Jun 29 19:59:41 2022
% 3.22/3.55 Prover9 interrupted
%------------------------------------------------------------------------------