TSTP Solution File: LAT346+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n028.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 06:27:56 EDT 2022
% Result : Theorem 1.87s 2.13s
% Output : Refutation 1.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT346+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n028.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 : Thu Jun 30 10:31:59 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.44/1.07 ============================== Prover9 ===============================
% 0.44/1.07 Prover9 (32) version 2009-11A, November 2009.
% 0.44/1.07 Process 14227 was started by sandbox on n028.cluster.edu,
% 0.44/1.07 Thu Jun 30 10:32:00 2022
% 0.44/1.07 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_14074_n028.cluster.edu".
% 0.44/1.07 ============================== end of head ===========================
% 0.44/1.07
% 0.44/1.07 ============================== INPUT =================================
% 0.44/1.07
% 0.44/1.07 % Reading from file /tmp/Prover9_14074_n028.cluster.edu
% 0.44/1.07
% 0.44/1.07 set(prolog_style_variables).
% 0.44/1.07 set(auto2).
% 0.44/1.07 % set(auto2) -> set(auto).
% 0.44/1.07 % set(auto) -> set(auto_inference).
% 0.44/1.07 % set(auto) -> set(auto_setup).
% 0.44/1.07 % set(auto_setup) -> set(predicate_elim).
% 0.44/1.07 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/1.07 % set(auto) -> set(auto_limits).
% 0.44/1.07 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/1.07 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/1.07 % set(auto) -> set(auto_denials).
% 0.44/1.07 % set(auto) -> set(auto_process).
% 0.44/1.07 % set(auto2) -> assign(new_constants, 1).
% 0.44/1.07 % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/1.07 % set(auto2) -> assign(max_weight, "200.000").
% 0.44/1.07 % set(auto2) -> assign(max_hours, 1).
% 0.44/1.07 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/1.07 % set(auto2) -> assign(max_seconds, 0).
% 0.44/1.07 % set(auto2) -> assign(max_minutes, 5).
% 0.44/1.07 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/1.07 % set(auto2) -> set(sort_initial_sos).
% 0.44/1.07 % set(auto2) -> assign(sos_limit, -1).
% 0.44/1.07 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/1.07 % set(auto2) -> assign(max_megs, 400).
% 0.44/1.07 % set(auto2) -> assign(stats, some).
% 0.44/1.07 % set(auto2) -> clear(echo_input).
% 0.44/1.07 % set(auto2) -> set(quiet).
% 0.44/1.07 % set(auto2) -> clear(print_initial_clauses).
% 0.44/1.07 % set(auto2) -> clear(print_given).
% 0.44/1.07 assign(lrs_ticks,-1).
% 0.44/1.07 assign(sos_limit,10000).
% 0.44/1.07 assign(order,kbo).
% 0.44/1.07 set(lex_order_vars).
% 0.44/1.07 clear(print_given).
% 0.44/1.07
% 0.44/1.07 % formulas(sos). % not echoed (102 formulas)
% 0.44/1.07
% 0.44/1.07 ============================== end of input ==========================
% 0.44/1.07
% 0.44/1.07 % From the command line: assign(max_seconds, 300).
% 0.44/1.07
% 0.44/1.07 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/1.07
% 0.44/1.07 % Formulas that are not ordinary clauses:
% 0.44/1.07 1 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 2 (all A (l2_conlat_1(A) -> (v4_conlat_1(A) -> A = g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))))) # label(abstractness_v4_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 3 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 4 (all A all B all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_partfun1(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,A,B)))) # label(cc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 5 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 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].
% 0.44/1.07 7 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 8 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v14_lattices(A) -> -v3_struct_0(A) & v15_lattices(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 9 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v15_lattices(A) -> -v3_struct_0(A) & v13_lattices(A) & v14_lattices(A)))) # label(cc4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.07 10 (all A all B (-v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc5_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 11 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> (all C (m1_relset_1(C,A,B) -> (v1_funct_1(C) & v1_funct_2(C,A,B) -> v1_funct_1(C) & -v1_xboole_0(C) & v1_partfun1(C,A,B) & v1_funct_2(C,A,B)))))) # label(cc6_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (r1_filter_1(A,B) <-> (exists C (m1_lattice4(C,A,B) & v3_lattice4(C,A,B)))))))) # label(d5_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 13 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> k7_conlat_2(A) = g2_conlat_1(u2_conlat_1(A),u1_conlat_1(A),k6_relset_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A))))) # label(d7_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 14 (all A all B all C (m1_relset_1(C,A,B) -> v4_conlat_1(g2_conlat_1(A,B,C)) & l2_conlat_1(g2_conlat_1(A,B,C)))) # label(dt_g2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 15 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 16 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))))) # label(dt_k10_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 17 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & l3_lattices(k11_conlat_1(A)))) # label(dt_k11_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 18 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 19 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 20 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 21 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 22 (all A (v1_relat_1(A) -> v1_relat_1(k4_relat_1(A)))) # label(dt_k4_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 23 (all A all B all C (m1_relset_1(C,A,B) -> m2_relset_1(k6_relset_1(A,B,C),B,A))) # label(dt_k6_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 24 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_conlat_1(k7_conlat_2(A)) & v4_conlat_1(k7_conlat_2(A)) & l2_conlat_1(k7_conlat_2(A)))) # label(dt_k7_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 25 $T # label(dt_l1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 26 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 27 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 28 (all A (l2_conlat_1(A) -> l1_conlat_1(A))) # label(dt_l2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 29 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 30 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 31 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (all C (m1_lattice4(C,A,B) -> v1_funct_1(C) & v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) & m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)))))) # label(dt_m1_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 32 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 33 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 34 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 35 $T # label(dt_u1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 36 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 37 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 38 $T # label(dt_u2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 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].
% 0.44/1.08 40 (all A (l2_conlat_1(A) -> m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)))) # label(dt_u3_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 41 (exists A l1_conlat_1(A)) # label(existence_l1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 42 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 43 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 44 (exists A l2_conlat_1(A)) # label(existence_l2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 45 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 46 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 47 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (exists C m1_lattice4(C,A,B)))) # label(existence_m1_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 48 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 49 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 50 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 51 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> -v1_xboole_0(u2_conlat_1(A)))) # label(fc1_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 52 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & v4_lattices(k11_conlat_1(A)) & v5_lattices(k11_conlat_1(A)) & v6_lattices(k11_conlat_1(A)) & v7_lattices(k11_conlat_1(A)) & v8_lattices(k11_conlat_1(A)) & v9_lattices(k11_conlat_1(A)) & v10_lattices(k11_conlat_1(A)) & v13_lattices(k11_conlat_1(A)) & v14_lattices(k11_conlat_1(A)) & v15_lattices(k11_conlat_1(A)) & v4_lattice3(k11_conlat_1(A)))) # label(fc1_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 53 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 54 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 55 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 56 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> -v1_xboole_0(u1_conlat_1(A)))) # label(fc2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 57 (all A (-v3_struct_0(A) & v10_lattices(A) & v4_lattice3(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)) & v4_lattice3(k1_lattice2(A)))) # label(fc2_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 58 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 59 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 60 (all A all B all C (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 61 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & v4_lattices(k11_conlat_1(A)) & v5_lattices(k11_conlat_1(A)) & v6_lattices(k11_conlat_1(A)) & v7_lattices(k11_conlat_1(A)) & v8_lattices(k11_conlat_1(A)) & v9_lattices(k11_conlat_1(A)) & v10_lattices(k11_conlat_1(A)))) # label(fc4_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 62 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 63 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 64 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & v4_lattices(k11_conlat_1(A)) & v5_lattices(k11_conlat_1(A)) & v6_lattices(k11_conlat_1(A)) & v7_lattices(k11_conlat_1(A)) & v8_lattices(k11_conlat_1(A)) & v9_lattices(k11_conlat_1(A)) & v10_lattices(k11_conlat_1(A)) & v4_lattice3(k11_conlat_1(A)))) # label(fc5_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 65 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 66 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 67 (all A all B all C (m1_relset_1(C,A,B) -> (all D all E all F (g2_conlat_1(A,B,C) = g2_conlat_1(D,E,F) -> A = D & B = E & C = F)))) # label(free_g2_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 68 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> A = D & B = E & C = F)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 69 (all A (v1_relat_1(A) -> k4_relat_1(k4_relat_1(A)) = A)) # label(involutiveness_k4_relat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 70 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,k6_relset_1(A,B,C)) = C)) # label(involutiveness_k6_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 71 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 72 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C) & v1_funct_2(C,A,B))) # label(rc1_funct_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 73 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 74 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 75 (all A all B exists C (m1_relset_1(C,A,B) & v1_relat_1(C) & v1_funct_1(C))) # label(rc2_partfun1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 76 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 77 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 78 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 79 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 80 (exists A (l2_conlat_1(A) & v4_conlat_1(A))) # label(rc5_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 81 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 82 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 83 (exists A (l2_conlat_1(A) & -v3_conlat_1(A) & v4_conlat_1(A))) # label(rc7_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 84 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_conlat_1(A))) & -v1_xboole_0(B))))) # label(rc8_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 85 (all A (-v3_conlat_1(A) & l1_conlat_1(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u2_conlat_1(A))) & -v1_xboole_0(B))))) # label(rc9_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 86 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 87 (all A all B all C (m1_relset_1(C,A,B) -> k6_relset_1(A,B,C) = k4_relat_1(C))) # label(redefinition_k6_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 88 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 89 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> r1_filter_1(A,A))) # label(reflexivity_r1_filter_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 90 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 91 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (r1_filter_1(A,B) -> r1_filter_1(B,A)))) # label(symmetry_r1_filter_1) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 92 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 93 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))))) # label(t21_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 0.44/1.08 94 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 95 (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].
% 0.81/1.08 96 (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].
% 0.81/1.08 97 (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].
% 0.81/1.08 98 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 99 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 100 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.81/1.08 101 -(all A (-v3_conlat_1(A) & l2_conlat_1(A) -> r1_filter_1(k11_conlat_1(k7_conlat_2(A)),k1_lattice2(k11_conlat_1(A))))) # label(t22_conlat_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.81/1.08
% 0.81/1.08 ============================== end of process non-clausal formulas ===
% 0.81/1.08
% 0.81/1.08 ============================== PROCESS INITIAL CLAUSES ===============
% 0.81/1.08
% 0.81/1.08 ============================== PREDICATE ELIMINATION =================
% 0.81/1.08 102 -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(15)].
% 0.81/1.08 103 -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)].
% 0.81/1.08 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(102,g,103,b)].
% 0.81/1.08 104 v3_conlat_1(A) | -l2_conlat_1(A) | v3_lattices(k11_conlat_1(A)) # label(dt_k11_conlat_1) # label(axiom). [clausify(17)].
% 0.81/1.08 Derived: v3_conlat_1(A) | -l2_conlat_1(A) | -l3_lattices(k11_conlat_1(A)) | g3_lattices(u1_struct_0(k11_conlat_1(A)),u2_lattices(k11_conlat_1(A)),u1_lattices(k11_conlat_1(A))) = k11_conlat_1(A). [resolve(104,c,103,b)].
% 0.81/1.08 105 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(18)].
% 0.81/1.08 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(105,b,103,b)].
% 0.81/1.08 106 v3_conlat_1(A) | -l2_conlat_1(A) | v3_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 0.81/1.08 107 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(53)].
% 0.81/1.08 108 v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc2_conlat_2) # label(axiom). [clausify(57)].
% 0.81/1.08 109 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A) | v3_lattices(g3_lattices(A,B,C)) # label(fc3_lattices) # label(axiom). [clausify(60)].
% 0.81/1.08 110 v3_conlat_1(A) | -l2_conlat_1(A) | v3_lattices(k11_conlat_1(A)) # label(fc4_conlat_1) # label(axiom). [clausify(61)].
% 0.81/1.08 111 v3_conlat_1(A) | -l2_conlat_1(A) | v3_lattices(k11_conlat_1(A)) # label(fc5_conlat_1) # label(axiom). [clausify(64)].
% 0.81/1.08 112 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(66)].
% 0.81/1.08 113 v3_lattices(c7) # label(rc11_lattices) # label(axiom). [clausify(71)].
% 0.81/1.08 Derived: -l3_lattices(c7) | g3_lattices(u1_struct_0(c7),u2_lattices(c7),u1_lattices(c7)) = c7. [resolve(113,a,103,b)].
% 0.81/1.08 114 v3_lattices(c10) # label(rc3_lattices) # label(axiom). [clausify(78)].
% 0.81/1.09 Derived: -l3_lattices(c10) | g3_lattices(u1_struct_0(c10),u2_lattices(c10),u1_lattices(c10)) = c10. [resolve(114,a,103,b)].
% 0.81/1.09 115 v3_lattices(c13) # label(rc6_lattices) # label(axiom). [clausify(82)].
% 0.81/1.09 Derived: -l3_lattices(c13) | g3_lattices(u1_struct_0(c13),u2_lattices(c13),u1_lattices(c13)) = c13. [resolve(115,a,103,b)].
% 0.81/1.09 116 v3_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(86)].
% 0.81/1.09 Derived: -l3_lattices(c15) | g3_lattices(u1_struct_0(c15),u2_lattices(c15),u1_lattices(c15)) = c15. [resolve(116,a,103,b)].
% 0.81/1.09 117 -m1_relset_1(A,B,C) | v4_conlat_1(g2_conlat_1(B,C,A)) # label(dt_g2_conlat_1) # label(axiom). [clausify(14)].
% 0.81/1.09 118 -l2_conlat_1(A) | -v4_conlat_1(A) | g2_conlat_1(u1_conlat_1(A),u2_conlat_1(A),u3_conlat_1(A)) = A # label(abstractness_v4_conlat_1) # label(axiom). [clausify(2)].
% 0.81/1.09 Derived: -m1_relset_1(A,B,C) | -l2_conlat_1(g2_conlat_1(B,C,A)) | g2_conlat_1(u1_conlat_1(g2_conlat_1(B,C,A)),u2_conlat_1(g2_conlat_1(B,C,A)),u3_conlat_1(g2_conlat_1(B,C,A))) = g2_conlat_1(B,C,A). [resolve(117,b,118,b)].
% 0.81/1.09 119 v3_conlat_1(A) | -l2_conlat_1(A) | v4_conlat_1(k7_conlat_2(A)) # label(dt_k7_conlat_2) # label(axiom). [clausify(24)].
% 0.81/1.09 Derived: v3_conlat_1(A) | -l2_conlat_1(A) | -l2_conlat_1(k7_conlat_2(A)) | g2_conlat_1(u1_conlat_1(k7_conlat_2(A)),u2_conlat_1(k7_conlat_2(A)),u3_conlat_1(k7_conlat_2(A))) = k7_conlat_2(A). [resolve(119,c,118,b)].
% 0.81/1.09 120 v4_conlat_1(c12) # label(rc5_conlat_1) # label(axiom). [clausify(80)].
% 0.81/1.09 Derived: -l2_conlat_1(c12) | g2_conlat_1(u1_conlat_1(c12),u2_conlat_1(c12),u3_conlat_1(c12)) = c12. [resolve(120,a,118,b)].
% 0.81/1.09 121 v4_conlat_1(c14) # label(rc7_conlat_1) # label(axiom). [clausify(83)].
% 0.81/1.09 Derived: -l2_conlat_1(c14) | g2_conlat_1(u1_conlat_1(c14),u2_conlat_1(c14),u3_conlat_1(c14)) = c14. [resolve(121,a,118,b)].
% 0.81/1.09 122 v1_xboole_0(A) | -m1_relset_1(B,C,A) | -v1_funct_1(B) | -v1_funct_2(B,C,A) | v1_partfun1(B,C,A) # label(cc5_funct_2) # label(axiom). [clausify(10)].
% 0.81/1.09 123 -m1_relset_1(A,B,C) | -v1_funct_1(A) | -v1_partfun1(A,B,C) | v1_funct_2(A,B,C) # label(cc1_funct_2) # label(axiom). [clausify(4)].
% 0.81/1.09 124 v1_xboole_0(A) | v1_xboole_0(B) | -m1_relset_1(C,A,B) | -v1_funct_1(C) | -v1_funct_2(C,A,B) | v1_partfun1(C,A,B) # label(cc6_funct_2) # label(axiom). [clausify(11)].
% 0.81/1.09 125 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(125,d,123,c)].
% 0.81/1.09 126 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | -m1_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(126,d,123,c)].
% 0.81/1.09 127 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(62)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(127,d,123,c)].
% 0.81/1.09 128 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(65)].
% 0.81/1.09 Derived: v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | -m1_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(128,d,123,c)].
% 0.81/1.10 129 -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)].
% 0.81/1.10 130 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(5)].
% 0.81/1.10 131 v3_conlat_1(A) | -l2_conlat_1(A) | v4_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 0.81/1.10 132 v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc2_conlat_2) # label(axiom). [clausify(57)].
% 0.81/1.10 133 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.81/1.10 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(133,b,130,d)].
% 0.81/1.10 Derived: v3_struct_0(k11_conlat_1(A)) | -l2_lattices(k11_conlat_1(A)) | v1_relat_1(u2_lattices(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(133,b,131,c)].
% 0.81/1.10 Derived: v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(133,b,132,e)].
% 0.81/1.10 134 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.81/1.10 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(134,b,130,d)].
% 0.81/1.10 Derived: v3_struct_0(k11_conlat_1(A)) | -l2_lattices(k11_conlat_1(A)) | v1_funct_1(u2_lattices(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(134,b,131,c)].
% 0.81/1.10 Derived: v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(134,b,132,e)].
% 0.81/1.10 135 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.81/1.10 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(135,b,130,d)].
% 0.81/1.10 Derived: v3_struct_0(k11_conlat_1(A)) | -l2_lattices(k11_conlat_1(A)) | v1_funct_2(u2_lattices(k11_conlat_1(A)),k2_zfmisc_1(u1_struct_0(k11_conlat_1(A)),u1_struct_0(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(135,b,131,c)].
% 0.81/1.10 Derived: 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))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(135,b,132,e)].
% 0.81/1.10 136 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc2_lattice2) # label(axiom). [clausify(58)].
% 0.81/1.10 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(136,b,130,d)].
% 0.81/1.10 Derived: v3_struct_0(k11_conlat_1(A)) | -l2_lattices(k11_conlat_1(A)) | v1_binop_1(u2_lattices(k11_conlat_1(A)),u1_struct_0(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(136,b,131,c)].
% 0.81/1.10 Derived: 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))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(136,b,132,e)].
% 0.81/1.10 137 v3_conlat_1(A) | -l2_conlat_1(A) | v4_lattices(k11_conlat_1(A)) # label(fc4_conlat_1) # label(axiom). [clausify(61)].
% 0.81/1.10 138 v3_conlat_1(A) | -l2_conlat_1(A) | v4_lattices(k11_conlat_1(A)) # label(fc5_conlat_1) # label(axiom). [clausify(64)].
% 0.81/1.10 139 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(66)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(139,d,133,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))). [resolve(139,d,134,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_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(139,d,135,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(139,d,136,b)].
% 0.81/1.10 140 v4_lattices(c7) # label(rc11_lattices) # label(axiom). [clausify(71)].
% 0.81/1.10 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(140,a,133,b)].
% 0.81/1.10 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_1(u2_lattices(c7)). [resolve(140,a,134,b)].
% 0.81/1.10 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_2(u2_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(140,a,135,b)].
% 0.81/1.10 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(140,a,136,b)].
% 0.81/1.10 141 v4_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(86)].
% 0.81/1.10 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_relat_1(u2_lattices(c15)). [resolve(141,a,133,b)].
% 0.81/1.10 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_funct_1(u2_lattices(c15)). [resolve(141,a,134,b)].
% 0.81/1.10 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(141,a,135,b)].
% 0.81/1.10 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_binop_1(u2_lattices(c15),u1_struct_0(c15)). [resolve(141,a,136,b)].
% 0.81/1.10 142 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(125,d,123,c)].
% 0.81/1.10 143 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.81/1.10 144 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(5)].
% 0.81/1.10 145 v3_conlat_1(A) | -l2_conlat_1(A) | v5_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 0.81/1.10 146 v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc2_conlat_2) # label(axiom). [clausify(57)].
% 0.81/1.10 147 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.81/1.10 148 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.81/1.10 149 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) # label(fc3_lattice2) # label(axiom). [clausify(59)].
% 0.81/1.10 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(149,b,144,d)].
% 0.81/1.10 Derived: v3_struct_0(k11_conlat_1(A)) | -l2_lattices(k11_conlat_1(A)) | v2_binop_1(u2_lattices(k11_conlat_1(A)),u1_struct_0(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(149,b,145,c)].
% 0.81/1.10 Derived: 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))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(149,b,146,e)].
% 0.81/1.10 150 v3_conlat_1(A) | -l2_conlat_1(A) | v5_lattices(k11_conlat_1(A)) # label(fc4_conlat_1) # label(axiom). [clausify(61)].
% 0.81/1.11 151 v3_conlat_1(A) | -l2_conlat_1(A) | v5_lattices(k11_conlat_1(A)) # label(fc5_conlat_1) # label(axiom). [clausify(64)].
% 0.81/1.11 152 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(66)].
% 0.81/1.11 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(152,d,149,b)].
% 0.81/1.11 153 v5_lattices(c7) # label(rc11_lattices) # label(axiom). [clausify(71)].
% 0.81/1.11 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v2_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(153,a,149,b)].
% 0.81/1.11 154 v5_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(86)].
% 0.81/1.11 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v2_binop_1(u2_lattices(c15),u1_struct_0(c15)). [resolve(154,a,149,b)].
% 0.81/1.11 155 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | -m1_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(126,d,123,c)].
% 0.81/1.11 156 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(62)].
% 0.81/1.11 157 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(5)].
% 0.81/1.11 158 v3_conlat_1(A) | -l2_conlat_1(A) | v6_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 0.81/1.11 159 v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc2_conlat_2) # label(axiom). [clausify(57)].
% 0.81/1.11 160 v3_conlat_1(A) | -l2_conlat_1(A) | v6_lattices(k11_conlat_1(A)) # label(fc4_conlat_1) # label(axiom). [clausify(61)].
% 0.81/1.11 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(156,b,157,d)].
% 0.81/1.11 Derived: v3_struct_0(k11_conlat_1(A)) | -l1_lattices(k11_conlat_1(A)) | v1_relat_1(u1_lattices(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(156,b,158,c)].
% 0.81/1.11 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(156,b,159,e)].
% 0.81/1.11 161 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(62)].
% 0.81/1.11 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(161,b,157,d)].
% 0.81/1.11 Derived: v3_struct_0(k11_conlat_1(A)) | -l1_lattices(k11_conlat_1(A)) | v1_funct_1(u1_lattices(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(161,b,158,c)].
% 0.81/1.11 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_1(u1_lattices(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(161,b,159,e)].
% 0.81/1.11 162 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(62)].
% 0.81/1.11 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(162,b,157,d)].
% 0.81/1.11 Derived: v3_struct_0(k11_conlat_1(A)) | -l1_lattices(k11_conlat_1(A)) | v1_funct_2(u1_lattices(k11_conlat_1(A)),k2_zfmisc_1(u1_struct_0(k11_conlat_1(A)),u1_struct_0(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(162,b,158,c)].
% 0.81/1.11 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_2(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(162,b,159,e)].
% 0.81/1.11 163 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(62)].
% 0.81/1.12 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(163,b,157,d)].
% 0.81/1.12 Derived: v3_struct_0(k11_conlat_1(A)) | -l1_lattices(k11_conlat_1(A)) | v1_binop_1(u1_lattices(k11_conlat_1(A)),u1_struct_0(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(163,b,158,c)].
% 0.81/1.12 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(163,b,159,e)].
% 0.81/1.12 164 v3_conlat_1(A) | -l2_conlat_1(A) | v6_lattices(k11_conlat_1(A)) # label(fc5_conlat_1) # label(axiom). [clausify(64)].
% 0.81/1.12 165 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(66)].
% 0.81/1.12 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(165,d,156,b)].
% 0.81/1.12 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(165,d,161,b)].
% 0.81/1.12 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(165,d,162,b)].
% 0.81/1.12 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(165,d,163,b)].
% 0.81/1.12 166 v6_lattices(c7) # label(rc11_lattices) # label(axiom). [clausify(71)].
% 0.81/1.12 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(166,a,156,b)].
% 0.81/1.12 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_1(u1_lattices(c7)). [resolve(166,a,161,b)].
% 0.81/1.12 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_2(u1_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(166,a,162,b)].
% 0.81/1.12 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(166,a,163,b)].
% 0.81/1.12 167 v6_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(86)].
% 0.81/1.12 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_relat_1(u1_lattices(c15)). [resolve(167,a,156,b)].
% 0.81/1.12 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_funct_1(u1_lattices(c15)). [resolve(167,a,161,b)].
% 0.81/1.12 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(167,a,162,b)].
% 0.81/1.12 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_binop_1(u1_lattices(c15),u1_struct_0(c15)). [resolve(167,a,163,b)].
% 0.81/1.12 168 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | -m1_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(127,d,123,c)].
% 0.81/1.12 169 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(65)].
% 0.81/1.12 170 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(5)].
% 0.81/1.12 171 v3_conlat_1(A) | -l2_conlat_1(A) | v7_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 0.81/1.12 172 v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc2_conlat_2) # label(axiom). [clausify(57)].
% 0.81/1.12 173 v3_conlat_1(A) | -l2_conlat_1(A) | v7_lattices(k11_conlat_1(A)) # label(fc4_conlat_1) # label(axiom). [clausify(61)].
% 0.81/1.12 174 v3_conlat_1(A) | -l2_conlat_1(A) | v7_lattices(k11_conlat_1(A)) # label(fc5_conlat_1) # label(axiom). [clausify(64)].
% 0.81/1.14 175 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(65)].
% 0.81/1.14 176 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(65)].
% 0.81/1.14 177 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(65)].
% 0.81/1.14 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(177,b,170,d)].
% 0.81/1.14 Derived: v3_struct_0(k11_conlat_1(A)) | -l1_lattices(k11_conlat_1(A)) | v2_binop_1(u1_lattices(k11_conlat_1(A)),u1_struct_0(k11_conlat_1(A))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(177,b,171,c)].
% 0.81/1.14 Derived: v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v2_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))) | v3_struct_0(A) | -v10_lattices(A) | -v4_lattice3(A) | -l3_lattices(A). [resolve(177,b,172,e)].
% 0.81/1.14 178 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(66)].
% 0.81/1.14 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(178,d,177,b)].
% 0.81/1.14 179 v7_lattices(c7) # label(rc11_lattices) # label(axiom). [clausify(71)].
% 0.81/1.14 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v2_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(179,a,177,b)].
% 0.81/1.14 180 v7_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(86)].
% 0.81/1.14 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v2_binop_1(u1_lattices(c15),u1_struct_0(c15)). [resolve(180,a,177,b)].
% 0.81/1.14 181 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | -m1_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(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)). [resolve(128,d,123,c)].
% 0.81/1.14 182 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.81/1.14 183 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.81/1.14 184 v3_conlat_1(A) | -l2_conlat_1(A) | v13_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 0.81/1.14 185 v13_lattices(c7) # label(rc11_lattices) # label(axiom). [clausify(71)].
% 0.81/1.14 186 v3_conlat_1(A) | -l2_conlat_1(A) | v15_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 0.81/1.14 187 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v14_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.81/1.14 Derived: v3_conlat_1(A) | -l2_conlat_1(A) | -l3_lattices(k11_conlat_1(A)) | v3_struct_0(k11_conlat_1(A)) | v14_lattices(k11_conlat_1(A)). [resolve(186,c,187,c)].
% 0.81/1.14 188 v15_lattices(c7) # label(rc11_lattices) # label(axiom). [clausify(71)].
% 0.81/1.14 Derived: -l3_lattices(c7) | v3_struct_0(c7) | v14_lattices(c7). [resolve(188,a,187,c)].
% 0.81/1.14 189 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | r1_filter_1(A,B) | -m1_lattice4(C,A,B) | -v3_lattice4(C,A,B) # label(d5_lattice4) # label(axiom). [clausify(12)].
% 0.81/1.14 190 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B) | m1_lattice4(f1(A,B),A,B) # label(d5_lattice4) # label(axiom). [clausify(12)].
% 0.81/1.14 191 v3_conlat_1(A) | -l2_conlat_1(A) | m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) # label(dt_k10_conlat_2) # label(axiom). [clausify(16)].
% 0.81/1.14 Derived: v3_conlat_1(A) | -l2_conlat_1(A) | v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | r1_filter_1(k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) | -v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))). [resolve(191,c,189,h)].
% 0.81/1.16 192 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -m1_lattice4(C,A,B) | v1_funct_1(C) # label(dt_m1_lattice4) # label(axiom). [clausify(31)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v1_funct_1(f1(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B). [resolve(192,g,190,h)].
% 0.81/1.16 Derived: v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | v1_funct_1(k10_conlat_2(A)) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(192,g,191,c)].
% 0.81/1.16 193 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -m1_lattice4(C,A,B) | v1_funct_2(C,u1_struct_0(A),u1_struct_0(B)) # label(dt_m1_lattice4) # label(axiom). [clausify(31)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v1_funct_2(f1(A,B),u1_struct_0(A),u1_struct_0(B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B). [resolve(193,g,190,h)].
% 0.81/1.16 Derived: v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | v1_funct_2(k10_conlat_2(A),u1_struct_0(k1_lattice2(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(k7_conlat_2(A)))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(193,g,191,c)].
% 0.81/1.16 194 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -m1_lattice4(C,A,B) | m2_relset_1(C,u1_struct_0(A),u1_struct_0(B)) # label(dt_m1_lattice4) # label(axiom). [clausify(31)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B). [resolve(194,g,190,h)].
% 0.81/1.16 Derived: v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | m2_relset_1(k10_conlat_2(A),u1_struct_0(k1_lattice2(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(k7_conlat_2(A)))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(194,g,191,c)].
% 0.81/1.16 195 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | m1_lattice4(f2(A,B),A,B) # label(existence_m1_lattice4) # label(axiom). [clausify(47)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | r1_filter_1(A,B) | -v3_lattice4(f2(A,B),A,B). [resolve(195,g,189,h)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v1_funct_1(f2(A,B)). [resolve(195,g,192,g)].
% 0.81/1.16 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v1_funct_2(f2(A,B),u1_struct_0(A),u1_struct_0(B)). [resolve(195,g,193,g)].
% 0.94/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | m2_relset_1(f2(A,B),u1_struct_0(A),u1_struct_0(B)). [resolve(195,g,194,g)].
% 0.94/1.22 196 -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(34)].
% 0.94/1.22 197 -m1_relset_1(A,B,C) | m2_relset_1(k6_relset_1(B,C,A),C,B) # label(dt_k6_relset_1) # label(axiom). [clausify(23)].
% 0.94/1.22 Derived: m1_subset_1(k6_relset_1(A,B,C),k1_zfmisc_1(k2_zfmisc_1(B,A))) | -m1_relset_1(C,A,B). [resolve(196,a,197,b)].
% 0.94/1.22 198 -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(36)].
% 0.94/1.22 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(198,b,196,a)].
% 0.94/1.22 199 -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)].
% 0.94/1.22 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(199,b,196,a)].
% 0.94/1.22 200 -l2_conlat_1(A) | m2_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) # label(dt_u3_conlat_1) # label(axiom). [clausify(40)].
% 0.94/1.22 Derived: -l2_conlat_1(A) | m1_subset_1(u3_conlat_1(A),k1_zfmisc_1(k2_zfmisc_1(u1_conlat_1(A),u2_conlat_1(A)))). [resolve(200,b,196,a)].
% 0.94/1.22 201 m2_relset_1(f5(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(50)].
% 0.94/1.22 Derived: m1_subset_1(f5(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(201,a,196,a)].
% 0.94/1.22 202 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(88)].
% 0.94/1.22 Derived: m1_relset_1(k6_relset_1(A,B,C),B,A) | -m1_relset_1(C,A,B). [resolve(202,a,197,b)].
% 0.94/1.22 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(202,a,198,b)].
% 0.94/1.22 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(202,a,199,b)].
% 0.94/1.22 Derived: m1_relset_1(u3_conlat_1(A),u1_conlat_1(A),u2_conlat_1(A)) | -l2_conlat_1(A). [resolve(202,a,200,b)].
% 0.94/1.22 Derived: m1_relset_1(f5(A,B),A,B). [resolve(202,a,201,a)].
% 0.94/1.22 203 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(88)].
% 0.94/1.22 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(203,a,196,a)].
% 0.94/1.22 204 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | m2_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B). [resolve(194,g,190,h)].
% 0.94/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B) | m1_subset_1(f1(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))). [resolve(204,g,196,a)].
% 0.94/1.22 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B) | m1_relset_1(f1(A,B),u1_struct_0(A),u1_struct_0(B)). [resolve(204,g,202,a)].
% 0.94/1.22 205 v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | m2_relset_1(k10_conlat_2(A),u1_struct_0(k1_lattice2(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(k7_conlat_2(A)))) | v3_conlat_1(A) | -l2_conlat_1(A). [resolve(194,g,191,c)].
% 0.98/1.24 Derived: v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | v3_conlat_1(A) | -l2_conlat_1(A) | m1_subset_1(k10_conlat_2(A),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k1_lattice2(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(k7_conlat_2(A)))))). [resolve(205,g,196,a)].
% 0.98/1.24 Derived: v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | v3_conlat_1(A) | -l2_conlat_1(A) | m1_relset_1(k10_conlat_2(A),u1_struct_0(k1_lattice2(k11_conlat_1(A))),u1_struct_0(k11_conlat_1(k7_conlat_2(A)))). [resolve(205,g,202,a)].
% 0.98/1.24 206 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | m2_relset_1(f2(A,B),u1_struct_0(A),u1_struct_0(B)). [resolve(195,g,194,g)].
% 0.98/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | m1_subset_1(f2(A,B),k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A),u1_struct_0(B)))). [resolve(206,m,196,a)].
% 0.98/1.24 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | m1_relset_1(f2(A,B),u1_struct_0(A),u1_struct_0(B)). [resolve(206,m,202,a)].
% 0.98/1.24 207 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(54)].
% 0.98/1.24 208 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(26)].
% 0.98/1.24 209 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(29)].
% 0.98/1.24 210 l1_struct_0(c3) # label(existence_l1_struct_0) # label(axiom). [clausify(43)].
% 0.98/1.24 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(207,b,208,b)].
% 0.98/1.24 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(207,b,209,b)].
% 0.98/1.24 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(207,b,210,a)].
% 0.98/1.24 211 l1_struct_0(c11) # label(rc3_struct_0) # label(axiom). [clausify(79)].
% 0.98/1.24 Derived: v3_struct_0(c11) | -v1_xboole_0(u1_struct_0(c11)). [resolve(211,a,207,b)].
% 0.98/1.24 212 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(81)].
% 0.98/1.24 Derived: v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(212,b,208,b)].
% 0.98/1.24 Derived: v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(212,b,209,b)].
% 0.98/1.24 Derived: v3_struct_0(c3) | m1_subset_1(f10(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(212,b,210,a)].
% 0.98/1.24 Derived: v3_struct_0(c11) | m1_subset_1(f10(c11),k1_zfmisc_1(u1_struct_0(c11))). [resolve(212,b,211,a)].
% 0.98/1.24 213 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f10(A)) # label(rc5_struct_0) # label(axiom). [clausify(81)].
% 0.98/1.24 Derived: v3_struct_0(A) | -v1_xboole_0(f10(A)) | -l1_lattices(A). [resolve(213,b,208,b)].
% 0.98/1.24 Derived: v3_struct_0(A) | -v1_xboole_0(f10(A)) | -l2_lattices(A). [resolve(213,b,209,b)].
% 0.98/1.24 Derived: v3_struct_0(c3) | -v1_xboole_0(f10(c3)). [resolve(213,b,210,a)].
% 0.98/1.24 Derived: v3_struct_0(c11) | -v1_xboole_0(f10(c11)). [resolve(213,b,211,a)].
% 0.98/1.24 214 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(u2_conlat_1(A)) # label(fc1_conlat_1) # label(axiom). [clausify(51)].
% 0.98/1.24 215 -l2_conlat_1(A) | l1_conlat_1(A) # label(dt_l2_conlat_1) # label(axiom). [clausify(28)].
% 0.98/1.24 216 l1_conlat_1(c1) # label(existence_l1_conlat_1) # label(axiom). [clausify(41)].
% 1.87/2.13 Derived: v3_conlat_1(A) | -v1_xboole_0(u2_conlat_1(A)) | -l2_conlat_1(A). [resolve(214,b,215,b)].
% 1.87/2.13 Derived: v3_conlat_1(c1) | -v1_xboole_0(u2_conlat_1(c1)). [resolve(214,b,216,a)].
% 1.87/2.13 217 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(u1_conlat_1(A)) # label(fc2_conlat_1) # label(axiom). [clausify(56)].
% 1.87/2.13 Derived: v3_conlat_1(A) | -v1_xboole_0(u1_conlat_1(A)) | -l2_conlat_1(A). [resolve(217,b,215,b)].
% 1.87/2.13 Derived: v3_conlat_1(c1) | -v1_xboole_0(u1_conlat_1(c1)). [resolve(217,b,216,a)].
% 1.87/2.13 218 v3_conlat_1(A) | -l1_conlat_1(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_conlat_1(A))) # label(rc8_conlat_1) # label(axiom). [clausify(84)].
% 1.87/2.13 Derived: v3_conlat_1(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_conlat_1(A))) | -l2_conlat_1(A). [resolve(218,b,215,b)].
% 1.87/2.13 Derived: v3_conlat_1(c1) | m1_subset_1(f11(c1),k1_zfmisc_1(u1_conlat_1(c1))). [resolve(218,b,216,a)].
% 1.87/2.13 219 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(f11(A)) # label(rc8_conlat_1) # label(axiom). [clausify(84)].
% 1.87/2.13 Derived: v3_conlat_1(A) | -v1_xboole_0(f11(A)) | -l2_conlat_1(A). [resolve(219,b,215,b)].
% 1.87/2.13 Derived: v3_conlat_1(c1) | -v1_xboole_0(f11(c1)). [resolve(219,b,216,a)].
% 1.87/2.13 220 v3_conlat_1(A) | -l1_conlat_1(A) | m1_subset_1(f12(A),k1_zfmisc_1(u2_conlat_1(A))) # label(rc9_conlat_1) # label(axiom). [clausify(85)].
% 1.87/2.13 Derived: v3_conlat_1(A) | m1_subset_1(f12(A),k1_zfmisc_1(u2_conlat_1(A))) | -l2_conlat_1(A). [resolve(220,b,215,b)].
% 1.87/2.13 Derived: v3_conlat_1(c1) | m1_subset_1(f12(c1),k1_zfmisc_1(u2_conlat_1(c1))). [resolve(220,b,216,a)].
% 1.87/2.13 221 v3_conlat_1(A) | -l1_conlat_1(A) | -v1_xboole_0(f12(A)) # label(rc9_conlat_1) # label(axiom). [clausify(85)].
% 1.87/2.13 Derived: v3_conlat_1(A) | -v1_xboole_0(f12(A)) | -l2_conlat_1(A). [resolve(221,b,215,b)].
% 1.87/2.13 Derived: v3_conlat_1(c1) | -v1_xboole_0(f12(c1)). [resolve(221,b,216,a)].
% 1.87/2.13 222 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(95)].
% 1.87/2.13 223 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(90)].
% 1.87/2.13 224 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(95)].
% 1.87/2.13 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(222,b,223,a)].
% 1.87/2.13
% 1.87/2.13 ============================== end predicate elimination =============
% 1.87/2.13
% 1.87/2.13 Auto_denials: (non-Horn, no changes).
% 1.87/2.13
% 1.87/2.13 Term ordering decisions:
% 1.87/2.13 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. f1=1. f2=1. f3=1. f5=1. f6=1. f8=1. u1_struct_0=1. k11_conlat_1=1. k1_lattice2=1. k7_conlat_2=1. u1_lattices=1. u2_lattices=1. k1_zfmisc_1=1. u1_conlat_1=1. u2_conlat_1=1. u3_conlat_1=1. k10_conlat_2=1. k4_relat_1=1. f4=1. f7=1. f9=1. f10=1. f11=1. f12=1. g3_lattices=1. g2_conlat_1=1. k6_relset_1=1.
% 1.87/2.13
% 1.87/2.13 ============================== end of process initial clauses ========
% 1.87/2.13
% 1.87/2.13 ============================== CLAUSES FOR SEARCH ====================
% 1.87/2.13
% 1.87/2.13 ============================== end of clauses for search =============
% 1.87/2.13
% 1.87/2.13 ============================== SEARCH ================================
% 1.87/2.13
% 1.87/2.13 % Starting search at 0.21 seconds.
% 1.87/2.13
% 1.87/2.13 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 331 (0.00 of 0.29 sec).
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=36.000, iters=3551
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=26.000, iters=3449
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=25.000, iters=3495
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=24.000, iters=3390
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=23.000, iters=3333
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=22.000, iters=3475
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=21.000, iters=3430
% 1.87/2.13
% 1.87/2.13 Low Water (keep): wt=20.000, iters=3391
% 1.87/2.13
% 1.87/2.13 ============================== PROOF =================================
% 1.87/2.13 % SZS status Theorem
% 1.87/2.13 % SZS output start Refutation
% 1.87/2.13
% 1.87/2.13 % Proof 1 at 1.07 (+ 0.01) seconds.
% 1.87/2.13 % Length of proof is 46.
% 1.87/2.13 % Level of proof is 9.
% 1.87/2.13 % Maximum clause weight is 44.000.
% 1.87/2.13 % Given clauses 2701.
% 1.87/2.13
% 1.87/2.13 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (r1_filter_1(A,B) <-> (exists C (m1_lattice4(C,A,B) & v3_lattice4(C,A,B)))))))) # label(d5_lattice4) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 16 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))))) # label(dt_k10_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 17 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & l3_lattices(k11_conlat_1(A)))) # label(dt_k11_conlat_1) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 18 (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].
% 1.87/2.13 24 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_conlat_1(k7_conlat_2(A)) & v4_conlat_1(k7_conlat_2(A)) & l2_conlat_1(k7_conlat_2(A)))) # label(dt_k7_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 52 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> -v3_struct_0(k11_conlat_1(A)) & v3_lattices(k11_conlat_1(A)) & v4_lattices(k11_conlat_1(A)) & v5_lattices(k11_conlat_1(A)) & v6_lattices(k11_conlat_1(A)) & v7_lattices(k11_conlat_1(A)) & v8_lattices(k11_conlat_1(A)) & v9_lattices(k11_conlat_1(A)) & v10_lattices(k11_conlat_1(A)) & v13_lattices(k11_conlat_1(A)) & v14_lattices(k11_conlat_1(A)) & v15_lattices(k11_conlat_1(A)) & v4_lattice3(k11_conlat_1(A)))) # label(fc1_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 53 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 66 (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].
% 1.87/2.13 91 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) -> (r1_filter_1(A,B) -> r1_filter_1(B,A)))) # label(symmetry_r1_filter_1) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 93 (all A (-v3_conlat_1(A) & l2_conlat_1(A) -> v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))))) # label(t21_conlat_2) # label(axiom) # label(non_clause). [assumption].
% 1.87/2.13 101 -(all A (-v3_conlat_1(A) & l2_conlat_1(A) -> r1_filter_1(k11_conlat_1(k7_conlat_2(A)),k1_lattice2(k11_conlat_1(A))))) # label(t22_conlat_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 1.87/2.13 189 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | r1_filter_1(A,B) | -m1_lattice4(C,A,B) | -v3_lattice4(C,A,B) # label(d5_lattice4) # label(axiom). [clausify(12)].
% 1.87/2.13 191 v3_conlat_1(A) | -l2_conlat_1(A) | m1_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) # label(dt_k10_conlat_2) # label(axiom). [clausify(16)].
% 1.87/2.13 233 v3_conlat_1(A) | -l2_conlat_1(A) | -v3_struct_0(k11_conlat_1(A)) # label(dt_k11_conlat_1) # label(axiom). [clausify(17)].
% 1.87/2.13 234 v3_conlat_1(A) | -l2_conlat_1(A) | l3_lattices(k11_conlat_1(A)) # label(dt_k11_conlat_1) # label(axiom). [clausify(17)].
% 1.87/2.13 235 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(18)].
% 1.87/2.13 237 v3_conlat_1(A) | -l2_conlat_1(A) | -v3_conlat_1(k7_conlat_2(A)) # label(dt_k7_conlat_2) # label(axiom). [clausify(24)].
% 1.87/2.13 238 v3_conlat_1(A) | -l2_conlat_1(A) | l2_conlat_1(k7_conlat_2(A)) # label(dt_k7_conlat_2) # label(axiom). [clausify(24)].
% 1.87/2.13 251 v3_conlat_1(A) | -l2_conlat_1(A) | v10_lattices(k11_conlat_1(A)) # label(fc1_conlat_2) # label(axiom). [clausify(52)].
% 1.87/2.13 253 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(53)].
% 1.87/2.13 260 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(66)].
% 1.87/2.13 298 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -l3_lattices(B) | -r1_filter_1(A,B) | r1_filter_1(B,A) # label(symmetry_r1_filter_1) # label(axiom). [clausify(91)].
% 1.87/2.13 300 v3_conlat_1(A) | -l2_conlat_1(A) | v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) # label(t21_conlat_2) # label(axiom). [clausify(93)].
% 1.87/2.13 307 -v3_conlat_1(c16) # label(t22_conlat_2) # label(negated_conjecture). [clausify(101)].
% 1.87/2.13 308 l2_conlat_1(c16) # label(t22_conlat_2) # label(negated_conjecture). [clausify(101)].
% 1.87/2.13 309 -r1_filter_1(k11_conlat_1(k7_conlat_2(c16)),k1_lattice2(k11_conlat_1(c16))) # label(t22_conlat_2) # label(negated_conjecture). [clausify(101)].
% 1.87/2.13 357 v3_conlat_1(A) | -l2_conlat_1(A) | v3_struct_0(k1_lattice2(k11_conlat_1(A))) | -v10_lattices(k1_lattice2(k11_conlat_1(A))) | -l3_lattices(k1_lattice2(k11_conlat_1(A))) | v3_struct_0(k11_conlat_1(k7_conlat_2(A))) | -v10_lattices(k11_conlat_1(k7_conlat_2(A))) | -l3_lattices(k11_conlat_1(k7_conlat_2(A))) | r1_filter_1(k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))) | -v3_lattice4(k10_conlat_2(A),k1_lattice2(k11_conlat_1(A)),k11_conlat_1(k7_conlat_2(A))). [resolve(191,c,189,h)].
% 1.87/2.13 537 v3_lattice4(k10_conlat_2(c16),k1_lattice2(k11_conlat_1(c16)),k11_conlat_1(k7_conlat_2(c16))). [resolve(308,a,300,b),unit_del(a,307)].
% 1.87/2.13 539 v10_lattices(k11_conlat_1(c16)). [resolve(308,a,251,b),unit_del(a,307)].
% 1.87/2.13 540 l2_conlat_1(k7_conlat_2(c16)). [resolve(308,a,238,b),unit_del(a,307)].
% 1.87/2.13 541 l3_lattices(k11_conlat_1(c16)). [resolve(308,a,234,b),unit_del(a,307)].
% 1.87/2.13 542 -v3_struct_0(k11_conlat_1(c16)). [resolve(308,a,233,b),unit_del(a,307)].
% 1.87/2.13 896 v10_lattices(k1_lattice2(k11_conlat_1(c16))). [resolve(539,a,260,b),unit_del(a,542),unit_del(b,541)].
% 1.87/2.13 913 v3_conlat_1(k7_conlat_2(c16)) | v10_lattices(k11_conlat_1(k7_conlat_2(c16))). [resolve(540,a,251,b)].
% 1.87/2.13 915 v3_conlat_1(k7_conlat_2(c16)) | l3_lattices(k11_conlat_1(k7_conlat_2(c16))). [resolve(540,a,234,b)].
% 1.87/2.13 916 v3_conlat_1(k7_conlat_2(c16)) | -v3_struct_0(k11_conlat_1(k7_conlat_2(c16))). [resolve(540,a,233,b)].
% 1.87/2.13 918 -v3_struct_0(k1_lattice2(k11_conlat_1(c16))). [resolve(541,a,253,b),unit_del(a,542)].
% 1.87/2.13 921 l3_lattices(k1_lattice2(k11_conlat_1(c16))). [resolve(541,a,235,a)].
% 1.87/2.13 1567 v3_struct_0(k11_conlat_1(k7_conlat_2(c16))) | -v10_lattices(k11_conlat_1(k7_conlat_2(c16))) | -l3_lattices(k11_conlat_1(k7_conlat_2(c16))) | r1_filter_1(k1_lattice2(k11_conlat_1(c16)),k11_conlat_1(k7_conlat_2(c16))). [resolve(537,a,357,j),unit_del(a,307),unit_del(b,308),unit_del(c,918),unit_del(d,896),unit_del(e,921)].
% 1.87/2.13 2285 v10_lattices(k11_conlat_1(k7_conlat_2(c16))). [resolve(913,a,237,c),unit_del(b,307),unit_del(c,308)].
% 1.87/2.13 2287 v3_struct_0(k11_conlat_1(k7_conlat_2(c16))) | -l3_lattices(k11_conlat_1(k7_conlat_2(c16))) | r1_filter_1(k1_lattice2(k11_conlat_1(c16)),k11_conlat_1(k7_conlat_2(c16))). [back_unit_del(1567),unit_del(b,2285)].
% 1.87/2.13 2333 l3_lattices(k11_conlat_1(k7_conlat_2(c16))). [resolve(915,a,237,c),unit_del(b,307),unit_del(c,308)].
% 1.87/2.13 2360 v3_struct_0(k11_conlat_1(k7_conlat_2(c16))) | r1_filter_1(k1_lattice2(k11_conlat_1(c16)),k11_conlat_1(k7_conlat_2(c16))). [back_unit_del(2287),unit_del(b,2333)].
% 1.87/2.13 9446 v3_struct_0(k11_conlat_1(k7_conlat_2(c16))). [resolve(2360,b,298,g),merge(e),unit_del(b,918),unit_del(c,896),unit_del(d,921),unit_del(e,2285),unit_del(f,2333),unit_del(g,309)].
% 1.87/2.13 9447 v3_conlat_1(k7_conlat_2(c16)). [back_unit_del(916),unit_del(b,9446)].
% 1.87/2.13 9448 $F. [resolve(9447,a,237,c),unit_del(a,307),unit_del(b,308)].
% 1.87/2.13
% 1.87/2.13 % SZS output end Refutation
% 1.87/2.13 ============================== end of proof ==========================
% 1.87/2.13
% 1.87/2.13 ============================== STATISTICS ============================
% 1.87/2.13
% 1.87/2.13 Given=2701. Generated=12427. Kept=9185. proofs=1.
% 1.87/2.13 Usable=2684. Sos=5933. Demods=485. Limbo=0, Disabled=923. Hints=0.
% 1.87/2.13 Megabytes=13.87.
% 1.87/2.13 User_CPU=1.07, System_CPU=0.01, Wall_clock=1.
% 1.87/2.13
% 1.87/2.13 ============================== end of statistics =====================
% 1.87/2.13
% 1.87/2.13 ============================== end of search =========================
% 1.87/2.13
% 1.87/2.13 THEOREM PROVED
% 1.87/2.13 % SZS status Theorem
% 1.87/2.13
% 1.87/2.13 Exiting with 1 proof.
% 1.87/2.13
% 1.87/2.13 Process 14227 exit (max_proofs) Thu Jun 30 10:32:01 2022
% 1.87/2.13 Prover9 interrupted
%------------------------------------------------------------------------------