TSTP Solution File: LAT316+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT316+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 06:27:24 EDT 2022
% Result : Timeout 300.08s 300.34s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT316+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n012.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 04:15:48 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.82/1.10 ============================== Prover9 ===============================
% 0.82/1.10 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.10 Process 15680 was started by sandbox on n012.cluster.edu,
% 0.82/1.10 Wed Jun 29 04:15:49 2022
% 0.82/1.10 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15527_n012.cluster.edu".
% 0.82/1.10 ============================== end of head ===========================
% 0.82/1.10
% 0.82/1.10 ============================== INPUT =================================
% 0.82/1.10
% 0.82/1.10 % Reading from file /tmp/Prover9_15527_n012.cluster.edu
% 0.82/1.10
% 0.82/1.10 set(prolog_style_variables).
% 0.82/1.10 set(auto2).
% 0.82/1.10 % set(auto2) -> set(auto).
% 0.82/1.10 % set(auto) -> set(auto_inference).
% 0.82/1.10 % set(auto) -> set(auto_setup).
% 0.82/1.10 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.10 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.10 % set(auto) -> set(auto_limits).
% 0.82/1.10 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.10 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.10 % set(auto) -> set(auto_denials).
% 0.82/1.10 % set(auto) -> set(auto_process).
% 0.82/1.10 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.10 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.10 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.10 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.10 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.10 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.10 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.10 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.10 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.10 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.10 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.10 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.10 % set(auto2) -> assign(stats, some).
% 0.82/1.10 % set(auto2) -> clear(echo_input).
% 0.82/1.10 % set(auto2) -> set(quiet).
% 0.82/1.10 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.10 % set(auto2) -> clear(print_given).
% 0.82/1.10 assign(lrs_ticks,-1).
% 0.82/1.10 assign(sos_limit,10000).
% 0.82/1.10 assign(order,kbo).
% 0.82/1.10 set(lex_order_vars).
% 0.82/1.10 clear(print_given).
% 0.82/1.10
% 0.82/1.10 % formulas(sos). % not echoed (138 formulas)
% 0.82/1.10
% 0.82/1.10 ============================== end of input ==========================
% 0.82/1.10
% 0.82/1.10 % From the command line: assign(max_seconds, 300).
% 0.82/1.10
% 0.82/1.10 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.10
% 0.82/1.10 % Formulas that are not ordinary clauses:
% 0.82/1.10 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].
% 0.82/1.10 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 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].
% 0.82/1.10 5 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 6 (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].
% 0.82/1.10 7 (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].
% 0.82/1.10 8 (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].
% 0.82/1.10 9 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 10 (all A all B k2_xboole_0(A,B) = k2_xboole_0(B,A)) # label(commutativity_k2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 11 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k3_lattices(A,C,B))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 12 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = k4_lattices(A,C,B))) # label(commutativity_k4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 13 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,C) = k4_subset_1(A,C,B))) # label(commutativity_k4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 14 (all A all B (A = B <-> r1_tarski(A,B) & r1_tarski(B,A))) # label(d10_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 15 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C))))) # label(d1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 16 (all A (-v3_struct_0(A) & l2_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 17 (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].
% 0.82/1.10 18 (all A (-v3_struct_0(A) & l1_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k2_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u1_lattices(A),B,C))))))) # label(d2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 19 (all A all B (r1_tarski(A,B) <-> (all C (r2_hidden(C,A) -> r2_hidden(C,B))))) # label(d3_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 20 (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].
% 0.82/1.10 21 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(k1_lattice2(A))) -> k6_filter_2(A,B) = B)))) # label(d5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 22 (all A all B k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A))) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 23 (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].
% 0.82/1.10 24 (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].
% 0.82/1.10 25 (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].
% 0.82/1.10 26 (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].
% 0.82/1.10 27 (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))) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 28 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 29 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 30 (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].
% 0.82/1.10 31 (all A all B all C (-v3_struct_0(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 32 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 33 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 34 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 35 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) -> m1_subset_1(k2_binop_1(A,B,C,D,E,F),C))) # label(dt_k2_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 36 (all A all B all C (-v3_struct_0(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k2_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 37 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 38 $T # label(dt_k2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 39 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 40 (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))) -> m1_filter_0(k3_filter_0(A,B),A))) # label(dt_k3_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 41 (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))) -> m1_filter_2(k3_filter_2(A,B),A))) # label(dt_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 42 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 43 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 44 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> m1_subset_1(k4_subset_1(A,B,C),k1_zfmisc_1(A)))) # label(dt_k4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 45 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 46 (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].
% 0.82/1.10 47 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(k1_lattice2(A))) -> m1_subset_1(k6_filter_2(A,B),u1_struct_0(A)))) # label(dt_k6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 48 (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].
% 0.82/1.11 49 (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].
% 0.82/1.11 50 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 51 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 52 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 53 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 54 (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].
% 0.82/1.11 55 (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].
% 0.82/1.11 56 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 57 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 58 (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].
% 0.82/1.11 59 (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].
% 0.82/1.11 60 (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].
% 0.82/1.11 61 (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].
% 0.82/1.11 62 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 63 (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].
% 0.82/1.11 64 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 65 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 66 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 67 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 68 (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].
% 0.82/1.11 69 (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].
% 0.82/1.11 70 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 71 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 72 (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].
% 0.82/1.11 73 (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].
% 0.82/1.11 74 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 75 (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].
% 0.82/1.11 76 (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].
% 0.82/1.11 77 (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].
% 0.82/1.11 78 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 79 (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].
% 0.82/1.11 80 (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].
% 0.82/1.11 81 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 82 (all A all B (-v1_xboole_0(A) -> -v1_xboole_0(k2_xboole_0(A,B)))) # label(fc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 83 (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].
% 0.82/1.11 84 (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].
% 0.82/1.11 85 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)) & v1_realset1(k1_tarski(A)))) # label(fc3_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 86 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 87 (all A all B (-v1_xboole_0(A) -> -v1_xboole_0(k2_xboole_0(B,A)))) # label(fc3_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 88 (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].
% 0.82/1.11 89 (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].
% 0.82/1.11 90 (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].
% 0.82/1.11 91 (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].
% 0.82/1.11 92 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_filter_0(C,B) & m1_filter_0(D,B) -> (r2_hidden(A,a_3_1_filter_0(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = E & (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,k4_lattices(B,F,G),E) & r2_hidden(F,C) & r2_hidden(G,D)))))))))) # label(fraenkel_a_3_1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 93 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m2_filter_2(C,B) & m2_filter_2(D,B) -> (r2_hidden(A,a_3_1_filter_2(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(B)) & A = E & (exists F (m1_subset_1(F,u1_struct_0(B)) & (exists G (m1_subset_1(G,u1_struct_0(B)) & r3_lattices(B,E,k3_lattices(B,F,G)) & r2_hidden(F,C) & r2_hidden(G,D)))))))))) # label(fraenkel_a_3_1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 94 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m2_filter_2(C,B) & m2_filter_2(D,B) -> (r2_hidden(A,a_3_3_filter_2(B,C,D)) <-> (exists E (m1_subset_1(E,u1_struct_0(k1_lattice2(B))) & A = E & (exists F (m1_subset_1(F,u1_struct_0(k1_lattice2(B))) & (exists G (m1_subset_1(G,u1_struct_0(k1_lattice2(B))) & r3_lattices(k1_lattice2(B),k4_lattices(k1_lattice2(B),F,G),E) & r2_hidden(F,C) & r2_hidden(G,D)))))))))) # label(fraenkel_a_3_3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 95 (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].
% 0.82/1.11 96 (all A all B k2_xboole_0(A,A) = A) # label(idempotence_k2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 97 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,B) = B)) # label(idempotence_k4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 98 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 99 (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].
% 0.82/1.11 100 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 101 (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].
% 0.82/1.11 102 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 103 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 104 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 105 (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].
% 0.82/1.11 106 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 107 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 108 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 109 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 110 (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].
% 0.82/1.11 111 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 112 (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].
% 0.82/1.11 113 (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].
% 0.82/1.11 114 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) -> k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 115 (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))) -> k3_filter_2(A,B) = k3_filter_0(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 116 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k1_lattices(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 117 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k4_lattices(A,B,C) = k2_lattices(A,B,C))) # label(redefinition_k4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 118 (all A all B all C (m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> k4_subset_1(A,B,C) = k2_xboole_0(B,C))) # label(redefinition_k4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 119 (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].
% 0.82/1.11 120 (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].
% 0.82/1.11 121 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 122 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 123 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 124 (all A k2_xboole_0(A,k1_xboole_0) = A) # label(t1_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 125 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 126 (all A (-v3_struct_0(A) & v10_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)) -> (all D (m1_subset_1(D,u1_struct_0(k1_lattice2(A))) -> (all E (m1_subset_1(E,u1_struct_0(k1_lattice2(A))) -> (r3_lattices(A,B,C) -> r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B))) & (r3_lattices(k1_lattice2(A),k5_filter_2(A,C),k5_filter_2(A,B)) -> r3_lattices(A,B,C)) & (r3_lattices(k1_lattice2(A),D,E) -> r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D))) & (r3_lattices(A,k6_filter_2(A,E),k6_filter_2(A,D)) -> r3_lattices(k1_lattice2(A),D,E)))))))))))) # label(t20_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 127 (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].
% 0.82/1.11 128 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 129 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) & k3_filter_2(A,B) = k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) & k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C) & k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)))))))) # label(t37_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.11 130 (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].
% 0.82/1.11 131 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> (all C (m1_filter_0(C,A) -> k3_filter_0(A,k4_subset_1(u1_struct_0(A),B,C)) = a_3_1_filter_0(A,B,C))))))) # label(t48_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.12 132 (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].
% 0.82/1.12 133 (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].
% 0.82/1.12 134 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.12 135 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.12 136 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.12 137 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> (all C (m2_filter_2(C,A) -> k19_filter_2(A,k4_subset_1(u1_struct_0(A),B,C)) = a_3_1_filter_2(A,B,C))))))) # label(t50_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.82/1.12
% 0.82/1.12 ============================== end of process non-clausal formulas ===
% 0.82/1.12
% 0.82/1.12 ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.12
% 0.82/1.12 ============================== PREDICATE ELIMINATION =================
% 0.82/1.12 138 -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(25)].
% 0.82/1.12 139 -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)].
% 0.82/1.12 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(138,g,139,b)].
% 0.82/1.12 140 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(30)].
% 0.82/1.12 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(140,b,139,b)].
% 0.82/1.12 141 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(76)].
% 0.82/1.12 142 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(84)].
% 0.82/1.12 143 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(91)].
% 0.82/1.12 144 v3_lattices(c12) # label(rc3_lattices) # label(axiom). [clausify(108)].
% 0.82/1.12 Derived: -l3_lattices(c12) | g3_lattices(u1_struct_0(c12),u2_lattices(c12),u1_lattices(c12)) = c12. [resolve(144,a,139,b)].
% 0.82/1.12 145 v3_lattices(c14) # label(rc6_lattices) # label(axiom). [clausify(111)].
% 0.82/1.12 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(145,a,139,b)].
% 0.82/1.12 146 v3_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(112)].
% 0.82/1.12 Derived: -l3_lattices(c15) | g3_lattices(u1_struct_0(c15),u2_lattices(c15),u1_lattices(c15)) = c15. [resolve(146,a,139,b)].
% 0.82/1.12 147 -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(8)].
% 0.82/1.12 148 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.12 149 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k3_lattices(A,C,B) = k3_lattices(A,B,C) # label(commutativity_k3_lattices) # label(axiom). [clausify(11)].
% 0.82/1.12 Derived: v3_struct_0(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k3_lattices(A,C,B) = k3_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(149,b,148,d)].
% 0.82/1.12 150 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)) # label(dt_k3_lattices) # label(axiom). [clausify(42)].
% 0.82/1.12 Derived: v3_struct_0(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(150,b,148,d)].
% 0.82/1.12 151 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(80)].
% 0.82/1.12 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(151,b,148,d)].
% 0.82/1.12 152 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(80)].
% 0.82/1.12 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(152,b,148,d)].
% 0.82/1.12 153 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(80)].
% 0.82/1.12 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(153,b,148,d)].
% 0.82/1.12 154 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(80)].
% 0.82/1.12 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(154,b,148,d)].
% 0.82/1.12 155 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(80)].
% 0.82/1.12 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(155,b,148,d)].
% 0.82/1.12 156 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(91)].
% 0.82/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | k3_lattices(k1_lattice2(A),C,B) = k3_lattices(k1_lattice2(A),B,C). [resolve(156,d,149,b)].
% 0.82/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | m1_subset_1(k3_lattices(k1_lattice2(A),B,C),u1_struct_0(k1_lattice2(A))). [resolve(156,d,150,b)].
% 0.82/1.12 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(156,d,151,b)].
% 0.82/1.12 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(156,d,152,b)].
% 0.82/1.12 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(156,d,153,b)].
% 0.82/1.12 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(156,d,154,b)].
% 0.82/1.14 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(156,d,155,b)].
% 0.82/1.14 157 v4_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(112)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | k3_lattices(c15,B,A) = k3_lattices(c15,A,B). [resolve(157,a,149,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | m1_subset_1(k3_lattices(c15,A,B),u1_struct_0(c15)). [resolve(157,a,150,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_relat_1(u2_lattices(c15)). [resolve(157,a,151,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_funct_1(u2_lattices(c15)). [resolve(157,a,152,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_funct_2(u2_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(157,a,153,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_binop_1(u2_lattices(c15),u1_struct_0(c15)). [resolve(157,a,154,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_partfun1(u2_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(157,a,155,b)].
% 0.82/1.14 158 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k1_lattices(A,B,C) = k3_lattices(A,B,C) # label(redefinition_k3_lattices) # label(axiom). [clausify(116)].
% 0.82/1.14 Derived: v3_struct_0(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k1_lattices(A,B,C) = k3_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(158,b,148,d)].
% 0.82/1.14 Derived: v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | k1_lattices(k1_lattice2(A),B,C) = k3_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(158,b,156,d)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | k1_lattices(c15,A,B) = k3_lattices(c15,A,B). [resolve(158,b,157,a)].
% 0.82/1.14 159 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(83)].
% 0.82/1.14 160 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.14 161 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(83)].
% 0.82/1.14 162 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(83)].
% 0.82/1.14 163 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(83)].
% 0.82/1.14 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(163,b,160,d)].
% 0.82/1.14 164 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(83)].
% 0.82/1.14 165 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(91)].
% 0.82/1.14 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(165,d,163,b)].
% 0.82/1.14 166 v5_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(112)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v2_binop_1(u2_lattices(c15),u1_struct_0(c15)). [resolve(166,a,163,b)].
% 0.82/1.14 167 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k4_lattices(A,C,B) = k4_lattices(A,B,C) # label(commutativity_k4_lattices) # label(axiom). [clausify(12)].
% 0.82/1.14 168 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.14 Derived: v3_struct_0(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k4_lattices(A,C,B) = k4_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(167,b,168,d)].
% 0.82/1.14 169 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)) # label(dt_k4_lattices) # label(axiom). [clausify(43)].
% 0.82/1.14 Derived: v3_struct_0(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k4_lattices(A,B,C),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(169,b,168,d)].
% 0.82/1.14 170 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(88)].
% 0.82/1.14 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(170,b,168,d)].
% 0.82/1.14 171 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(88)].
% 0.82/1.14 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(171,b,168,d)].
% 0.82/1.14 172 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(88)].
% 0.82/1.14 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(172,b,168,d)].
% 0.82/1.14 173 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(88)].
% 0.82/1.14 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(173,b,168,d)].
% 0.82/1.14 174 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(88)].
% 0.82/1.14 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(174,b,168,d)].
% 0.82/1.14 175 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(91)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | k4_lattices(k1_lattice2(A),C,B) = k4_lattices(k1_lattice2(A),B,C). [resolve(175,d,167,b)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | m1_subset_1(k4_lattices(k1_lattice2(A),B,C),u1_struct_0(k1_lattice2(A))). [resolve(175,d,169,b)].
% 0.82/1.14 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(175,d,170,b)].
% 0.82/1.14 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(175,d,171,b)].
% 0.82/1.14 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(175,d,172,b)].
% 0.82/1.14 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(175,d,173,b)].
% 0.82/1.14 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(175,d,174,b)].
% 0.82/1.14 176 v6_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(112)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | k4_lattices(c15,B,A) = k4_lattices(c15,A,B). [resolve(176,a,167,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | m1_subset_1(k4_lattices(c15,A,B),u1_struct_0(c15)). [resolve(176,a,169,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_relat_1(u1_lattices(c15)). [resolve(176,a,170,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_funct_1(u1_lattices(c15)). [resolve(176,a,171,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_funct_2(u1_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(176,a,172,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_binop_1(u1_lattices(c15),u1_struct_0(c15)). [resolve(176,a,173,b)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_partfun1(u1_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(176,a,174,b)].
% 0.82/1.14 177 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_lattices(A,B,C) = k4_lattices(A,B,C) # label(redefinition_k4_lattices) # label(axiom). [clausify(117)].
% 0.82/1.14 Derived: v3_struct_0(A) | -l1_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_lattices(A,B,C) = k4_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(177,b,168,d)].
% 0.82/1.14 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | k2_lattices(k1_lattice2(A),B,C) = k4_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(177,b,175,d)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | k2_lattices(c15,A,B) = k4_lattices(c15,A,B). [resolve(177,b,176,a)].
% 0.82/1.14 178 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(121)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(178,b,168,d)].
% 0.82/1.14 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | -r3_lattices(k1_lattice2(A),B,C) | r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(178,b,175,d)].
% 0.82/1.14 Derived: v3_struct_0(c15) | -v8_lattices(c15) | -v9_lattices(c15) | -l3_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | -r3_lattices(c15,A,B) | r1_lattices(c15,A,B). [resolve(178,b,176,a)].
% 0.82/1.14 179 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(121)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(179,b,168,d)].
% 0.82/1.16 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,C) | -r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(179,b,175,d)].
% 0.82/1.16 Derived: v3_struct_0(c15) | -v8_lattices(c15) | -v9_lattices(c15) | -l3_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | r3_lattices(c15,A,B) | -r1_lattices(c15,A,B). [resolve(179,b,176,a)].
% 0.82/1.16 180 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(123)].
% 0.82/1.16 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(180,b,168,d)].
% 0.82/1.16 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(180,b,175,d)].
% 0.82/1.16 Derived: v3_struct_0(c15) | -v8_lattices(c15) | -v9_lattices(c15) | -l3_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | r3_lattices(c15,A,A). [resolve(180,b,176,a)].
% 0.82/1.16 181 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(90)].
% 0.82/1.16 182 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.16 183 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(90)].
% 0.82/1.16 184 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(90)].
% 0.82/1.16 185 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(90)].
% 0.82/1.16 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(185,b,182,d)].
% 0.82/1.16 186 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(90)].
% 0.82/1.16 187 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(91)].
% 0.82/1.16 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(187,d,185,b)].
% 0.82/1.16 188 v7_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(112)].
% 0.82/1.16 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v2_binop_1(u1_lattices(c15),u1_struct_0(c15)). [resolve(188,a,185,b)].
% 0.82/1.16 189 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(7)].
% 0.82/1.16 190 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(6)].
% 0.82/1.16 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(189,a,190,b)].
% 0.82/1.16 191 -v1_relat_1(A) | -v1_funct_1(A) | k1_funct_1(A,k4_tarski(B,C)) = k1_binop_1(A,B,C) # label(d1_binop_1) # label(axiom). [clausify(15)].
% 0.82/1.16 Derived: -v1_funct_1(A) | k1_funct_1(A,k4_tarski(B,C)) = k1_binop_1(A,B,C) | -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(D,E))). [resolve(191,a,190,b)].
% 0.82/1.17 192 v1_relat_1(c5) # label(rc1_funct_1) # label(axiom). [clausify(98)].
% 0.82/1.17 Derived: -v1_xboole_0(c5) | -v1_funct_1(c5) | v2_funct_1(c5). [resolve(192,a,189,a)].
% 0.82/1.17 Derived: -v1_funct_1(c5) | k1_funct_1(c5,k4_tarski(A,B)) = k1_binop_1(c5,A,B). [resolve(192,a,191,a)].
% 0.82/1.17 193 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(103)].
% 0.82/1.17 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(193,a,189,a)].
% 0.82/1.17 Derived: -v1_funct_1(c8) | k1_funct_1(c8,k4_tarski(A,B)) = k1_binop_1(c8,A,B). [resolve(193,a,191,a)].
% 0.82/1.17 194 v1_relat_1(c11) # label(rc3_funct_1) # label(axiom). [clausify(107)].
% 0.82/1.17 Derived: -v1_funct_1(c11) | k1_funct_1(c11,k4_tarski(A,B)) = k1_binop_1(c11,A,B). [resolve(194,a,191,a)].
% 0.82/1.17 195 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(151,b,148,d)].
% 0.82/1.17 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(195,c,189,a)].
% 0.82/1.17 Derived: v3_struct_0(A) | -l2_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v1_funct_1(u2_lattices(A)) | k1_funct_1(u2_lattices(A),k4_tarski(B,C)) = k1_binop_1(u2_lattices(A),B,C). [resolve(195,c,191,a)].
% 0.82/1.17 196 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(156,d,151,b)].
% 0.82/1.17 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(196,f,189,a)].
% 0.82/1.17 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))) | k1_funct_1(u2_lattices(k1_lattice2(A)),k4_tarski(B,C)) = k1_binop_1(u2_lattices(k1_lattice2(A)),B,C). [resolve(196,f,191,a)].
% 0.82/1.17 197 v3_struct_0(c15) | -l2_lattices(c15) | v1_relat_1(u2_lattices(c15)). [resolve(157,a,151,b)].
% 0.82/1.17 Derived: v3_struct_0(c15) | -l2_lattices(c15) | -v1_xboole_0(u2_lattices(c15)) | -v1_funct_1(u2_lattices(c15)) | v2_funct_1(u2_lattices(c15)). [resolve(197,c,189,a)].
% 0.82/1.17 Derived: v3_struct_0(c15) | -l2_lattices(c15) | -v1_funct_1(u2_lattices(c15)) | k1_funct_1(u2_lattices(c15),k4_tarski(A,B)) = k1_binop_1(u2_lattices(c15),A,B). [resolve(197,c,191,a)].
% 0.82/1.17 198 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(170,b,168,d)].
% 0.82/1.17 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(198,c,189,a)].
% 0.82/1.17 Derived: v3_struct_0(A) | -l1_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v1_funct_1(u1_lattices(A)) | k1_funct_1(u1_lattices(A),k4_tarski(B,C)) = k1_binop_1(u1_lattices(A),B,C). [resolve(198,c,191,a)].
% 0.82/1.17 199 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(175,d,170,b)].
% 0.82/1.17 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(199,f,189,a)].
% 0.82/1.17 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))) | k1_funct_1(u1_lattices(k1_lattice2(A)),k4_tarski(B,C)) = k1_binop_1(u1_lattices(k1_lattice2(A)),B,C). [resolve(199,f,191,a)].
% 0.82/1.17 200 v3_struct_0(c15) | -l1_lattices(c15) | v1_relat_1(u1_lattices(c15)). [resolve(176,a,170,b)].
% 0.82/1.17 Derived: v3_struct_0(c15) | -l1_lattices(c15) | -v1_xboole_0(u1_lattices(c15)) | -v1_funct_1(u1_lattices(c15)) | v2_funct_1(u1_lattices(c15)). [resolve(200,c,189,a)].
% 0.83/1.18 Derived: v3_struct_0(c15) | -l1_lattices(c15) | -v1_funct_1(u1_lattices(c15)) | k1_funct_1(u1_lattices(c15),k4_tarski(A,B)) = k1_binop_1(u1_lattices(c15),A,B). [resolve(200,c,191,a)].
% 0.83/1.18 201 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(55)].
% 0.83/1.18 202 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(26)].
% 0.83/1.18 203 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))) | m1_filter_2(k3_filter_2(A,B),A) # label(dt_k3_filter_2) # label(axiom). [clausify(41)].
% 0.83/1.18 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(201,d,202,e)].
% 0.83/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k3_filter_2(A,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))). [resolve(201,d,203,f)].
% 0.83/1.18 204 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(55)].
% 0.83/1.18 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(204,d,202,e)].
% 0.83/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_2(A,B),A) | 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))). [resolve(204,d,203,f)].
% 0.83/1.18 205 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f3(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(69)].
% 0.83/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f3(A)). [resolve(205,d,201,d)].
% 0.83/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f3(A),A). [resolve(205,d,204,d)].
% 0.83/1.18 206 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(119)].
% 0.83/1.18 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(206,d,202,e)].
% 0.83/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(k3_filter_2(A,B),A) | 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))). [resolve(206,d,203,f)].
% 0.83/1.18 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f3(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(206,d,205,d)].
% 0.83/1.18 207 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(119)].
% 0.83/1.18 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(207,d,201,d)].
% 0.83/1.18 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(207,d,204,d)].
% 0.83/1.18 208 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(77)].
% 0.83/1.18 209 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(50)].
% 0.83/1.18 210 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(52)].
% 0.83/1.18 211 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(65)].
% 0.83/1.20 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(208,b,209,b)].
% 0.83/1.20 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(208,b,210,b)].
% 0.83/1.20 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(208,b,211,a)].
% 0.83/1.20 212 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(109)].
% 0.83/1.20 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(212,a,208,b)].
% 0.83/1.20 213 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f21(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(110)].
% 0.83/1.20 Derived: v3_struct_0(A) | m1_subset_1(f21(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(213,b,209,b)].
% 0.83/1.20 Derived: v3_struct_0(A) | m1_subset_1(f21(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(213,b,210,b)].
% 0.83/1.20 Derived: v3_struct_0(c2) | m1_subset_1(f21(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(213,b,211,a)].
% 0.83/1.20 Derived: v3_struct_0(c13) | m1_subset_1(f21(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(213,b,212,a)].
% 0.83/1.20 214 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f21(A)) # label(rc5_struct_0) # label(axiom). [clausify(110)].
% 0.83/1.20 Derived: v3_struct_0(A) | -v1_xboole_0(f21(A)) | -l1_lattices(A). [resolve(214,b,209,b)].
% 0.83/1.20 Derived: v3_struct_0(A) | -v1_xboole_0(f21(A)) | -l2_lattices(A). [resolve(214,b,210,b)].
% 0.83/1.20 Derived: v3_struct_0(c2) | -v1_xboole_0(f21(c2)). [resolve(214,b,211,a)].
% 0.83/1.20 Derived: v3_struct_0(c13) | -v1_xboole_0(f21(c13)). [resolve(214,b,212,a)].
% 0.83/1.20 215 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(59)].
% 0.83/1.20 216 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(58)].
% 0.83/1.20 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(215,d,216,e)].
% 0.83/1.20 217 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f7(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(73)].
% 0.83/1.20 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f7(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(217,d,215,d)].
% 0.83/1.20 218 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f18(A),A) # label(rc1_lattice4) # label(axiom). [clausify(99)].
% 0.83/1.20 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f18(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(218,d,215,d)].
% 0.83/1.20 219 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(204,d,202,e)].
% 0.83/1.20 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(219,d,215,d)].
% 0.83/1.20 220 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_2(A,B),A) | 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))). [resolve(204,d,203,f)].
% 0.83/1.20 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | 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))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k3_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(220,d,215,d)].
% 0.83/1.20 221 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f3(A),A). [resolve(205,d,204,d)].
% 0.83/1.20 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(f3(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(221,g,215,d)].
% 1.96/2.26 222 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(207,d,204,d)].
% 1.96/2.26 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(222,h,215,d)].
% 1.96/2.26 223 -l1_lattices(A) | m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(61)].
% 1.96/2.26 224 -m2_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) # label(dt_m2_relset_1) # label(axiom). [clausify(60)].
% 1.96/2.26 Derived: -l1_lattices(A) | m1_subset_1(u1_lattices(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))). [resolve(223,b,224,a)].
% 1.96/2.26 225 -l2_lattices(A) | m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(63)].
% 1.96/2.26 Derived: -l2_lattices(A) | m1_subset_1(u2_lattices(A),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))). [resolve(225,b,224,a)].
% 1.96/2.26 226 m2_relset_1(f8(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(74)].
% 1.96/2.26 Derived: m1_subset_1(f8(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(226,a,224,a)].
% 1.96/2.26 227 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(120)].
% 1.96/2.26 Derived: m1_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l1_lattices(A). [resolve(227,a,223,b)].
% 1.96/2.26 Derived: m1_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l2_lattices(A). [resolve(227,a,225,b)].
% 1.96/2.26 Derived: m1_relset_1(f8(A,B),A,B). [resolve(227,a,226,a)].
% 1.96/2.26 228 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(120)].
% 1.96/2.26 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(228,a,224,a)].
% 1.96/2.26
% 1.96/2.26 ============================== end predicate elimination =============
% 1.96/2.26
% 1.96/2.26 Auto_denials: (non-Horn, no changes).
% 1.96/2.26
% 1.96/2.26 Term ordering decisions:
% 1.96/2.26 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. k2_zfmisc_1=1. k4_tarski=1. k1_funct_1=1. k3_filter_2=1. k2_xboole_0=1. k5_filter_2=1. k6_filter_2=1. k7_filter_2=1. k19_filter_2=1. k8_filter_2=1. k15_filter_2=1. k2_tarski=1. k3_filter_0=1. f1=1. f4=1. f8=1. f22=1. u1_struct_0=1. k1_lattice2=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. k1_tarski=1. f2=1. f3=1. f5=1. f6=1. f7=1. f18=1. f19=1. f20=1. f21=1. g3_lattices=1. k4_lattices=1. k3_lattices=1. k1_binop_1=1. a_3_1_filter_0=1. a_3_1_filter_2=1. a_3_3_filter_2=1. k4_subset_1=1. k1_lattices=1. k2_lattices=1. f9=1. f10=1. f11=1. f12=1. f13=1. f14=1. f15=1. f16=1. f17=1. k2_binop_1=1.
% 1.96/2.26
% 1.96/2.26 ============================== end of process initial clauses ========
% 1.96/2.26
% 1.96/2.26 ============================== CLAUSES FOR SEARCH ====================
% 1.96/2.26
% 1.96/2.26 ============================== end of clauses for search =============
% 1.96/2.26
% 1.96/2.26 ============================== SEARCH ================================
% 1.96/2.26
% 1.96/2.26 % Starting search at 0.18 seconds.
% 1.96/2.26
% 1.96/2.26 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 61 (0.00 of 0.33 sec).
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=29.000, iters=3575
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=26.000, iters=3380
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=25.000, iters=3351
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=24.000, iters=3360
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=23.000, iters=3485
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=22.000, iters=3364
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=21.000, iters=3402
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=20.000, iters=3388
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=19.000, iters=3336
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=18.000, iters=3341
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=17.000, iters=3358
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=16.000, iters=3463
% 1.96/2.26
% 1.96/2.26 Low Water (keep): wt=15.000Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------