TSTP Solution File: LAT304+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT304+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n015.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 06:27:12 EDT 2022
% Result : Theorem 3.28s 3.55s
% Output : Refutation 3.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT304+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 29 21:32:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.77/1.04 ============================== Prover9 ===============================
% 0.77/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.77/1.04 Process 28527 was started by sandbox2 on n015.cluster.edu,
% 0.77/1.04 Wed Jun 29 21:32:27 2022
% 0.77/1.04 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_28181_n015.cluster.edu".
% 0.77/1.04 ============================== end of head ===========================
% 0.77/1.04
% 0.77/1.04 ============================== INPUT =================================
% 0.77/1.04
% 0.77/1.04 % Reading from file /tmp/Prover9_28181_n015.cluster.edu
% 0.77/1.04
% 0.77/1.04 set(prolog_style_variables).
% 0.77/1.04 set(auto2).
% 0.77/1.04 % set(auto2) -> set(auto).
% 0.77/1.04 % set(auto) -> set(auto_inference).
% 0.77/1.04 % set(auto) -> set(auto_setup).
% 0.77/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.77/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.77/1.04 % set(auto) -> set(auto_limits).
% 0.77/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.77/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.77/1.04 % set(auto) -> set(auto_denials).
% 0.77/1.04 % set(auto) -> set(auto_process).
% 0.77/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.77/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.77/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.77/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.77/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.77/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.77/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.77/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.77/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.77/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.77/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.77/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.77/1.04 % set(auto2) -> assign(stats, some).
% 0.77/1.04 % set(auto2) -> clear(echo_input).
% 0.77/1.04 % set(auto2) -> set(quiet).
% 0.77/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.77/1.04 % set(auto2) -> clear(print_given).
% 0.77/1.04 assign(lrs_ticks,-1).
% 0.77/1.04 assign(sos_limit,10000).
% 0.77/1.04 assign(order,kbo).
% 0.77/1.04 set(lex_order_vars).
% 0.77/1.04 clear(print_given).
% 0.77/1.04
% 0.77/1.04 % formulas(sos). % not echoed (77 formulas)
% 0.77/1.04
% 0.77/1.04 ============================== end of input ==========================
% 0.77/1.04
% 0.77/1.04 % From the command line: assign(max_seconds, 300).
% 0.77/1.04
% 0.77/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.77/1.04
% 0.77/1.04 % Formulas that are not ordinary clauses:
% 0.77/1.04 1 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 4 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 5 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 6 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 7 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 8 (all A (l3_lattices(A) -> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(d2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 9 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 10 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 11 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 12 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 13 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 14 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 15 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 16 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 17 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 18 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 19 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 20 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 21 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 22 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 23 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 24 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 25 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 26 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 27 (all A (l2_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 28 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 29 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 30 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 31 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 32 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 33 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 34 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 35 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 36 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 37 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 38 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 39 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 40 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 41 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 42 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 43 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 44 (all A all B all C (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 45 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 46 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 47 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 48 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 49 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> A = D & B = E & C = F)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 50 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 51 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B (m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(rc1_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 52 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 53 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 54 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 55 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 56 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 57 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 58 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 59 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 60 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 61 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 62 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 63 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) <-> m1_filter_0(B,A))))) # label(redefinition_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 64 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 65 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 66 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m1_filter_0(u1_struct_0(A),A))) # label(t15_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 67 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 68 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) <-> m1_filter_2(B,k1_lattice2(A)))))) # label(t21_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 69 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 70 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 71 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 72 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 73 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 74 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 75 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.77/1.04 76 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m2_filter_2(u1_struct_0(A),A))) # label(t28_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.77/1.04
% 0.77/1.04 ============================== end of process non-clausal formulas ===
% 0.77/1.04
% 0.77/1.04 ============================== PROCESS INITIAL CLAUSES ===============
% 0.77/1.04
% 0.77/1.04 ============================== PREDICATE ELIMINATION =================
% 0.77/1.04 77 -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(9)].
% 0.77/1.04 78 -l3_lattices(A) | -v3_lattices(A) | g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(1)].
% 0.77/1.04 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(77,g,78,b)].
% 0.77/1.05 79 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(10)].
% 0.77/1.05 Derived: -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | g3_lattices(u1_struct_0(k1_lattice2(A)),u2_lattices(k1_lattice2(A)),u1_lattices(k1_lattice2(A))) = k1_lattice2(A). [resolve(79,b,78,b)].
% 0.77/1.05 80 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(39)].
% 0.77/1.05 81 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(44)].
% 0.77/1.05 82 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(48)].
% 0.77/1.05 83 v3_lattices(c10) # label(rc3_lattices) # label(axiom). [clausify(58)].
% 0.77/1.05 Derived: -l3_lattices(c10) | g3_lattices(u1_struct_0(c10),u2_lattices(c10),u1_lattices(c10)) = c10. [resolve(83,a,78,b)].
% 0.77/1.05 84 v3_lattices(c12) # label(rc6_lattices) # label(axiom). [clausify(61)].
% 0.77/1.05 Derived: -l3_lattices(c12) | g3_lattices(u1_struct_0(c12),u2_lattices(c12),u1_lattices(c12)) = c12. [resolve(84,a,78,b)].
% 0.77/1.05 85 v3_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(62)].
% 0.77/1.05 Derived: -l3_lattices(c13) | g3_lattices(u1_struct_0(c13),u2_lattices(c13),u1_lattices(c13)) = c13. [resolve(85,a,78,b)].
% 0.77/1.05 86 -l3_lattices(A) | v3_struct_0(A) | -v4_lattices(A) | -v5_lattices(A) | -v6_lattices(A) | -v7_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | v10_lattices(A) # label(cc2_lattices) # label(axiom). [clausify(7)].
% 0.77/1.05 87 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.05 88 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(42)].
% 0.77/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(88,b,87,d)].
% 0.77/1.05 89 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(42)].
% 0.77/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(89,b,87,d)].
% 0.77/1.05 90 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(42)].
% 0.77/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(90,b,87,d)].
% 0.77/1.05 91 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(42)].
% 0.77/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(91,b,87,d)].
% 0.77/1.05 92 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(42)].
% 0.77/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(92,b,87,d)].
% 0.77/1.05 93 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(48)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(93,d,88,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))). [resolve(93,d,89,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_2(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(93,d,90,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(93,d,91,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_partfun1(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(93,d,92,b)].
% 0.77/1.05 94 v4_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(62)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(94,a,88,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_funct_1(u2_lattices(c13)). [resolve(94,a,89,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_funct_2(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(94,a,90,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(94,a,91,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v1_partfun1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(94,a,92,b)].
% 0.77/1.05 95 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(43)].
% 0.77/1.05 96 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.05 97 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(43)].
% 0.77/1.05 98 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(43)].
% 0.77/1.05 99 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(43)].
% 0.77/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v2_binop_1(u2_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(99,b,96,d)].
% 0.77/1.05 100 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(43)].
% 0.77/1.05 101 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(48)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v2_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(101,d,99,b)].
% 0.77/1.05 102 v5_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(62)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l2_lattices(c13) | v2_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(102,a,99,b)].
% 0.77/1.05 103 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(45)].
% 0.77/1.05 104 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.05 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(103,b,104,d)].
% 0.77/1.05 105 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(45)].
% 0.77/1.05 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(105,b,104,d)].
% 0.77/1.05 106 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(45)].
% 0.77/1.05 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(106,b,104,d)].
% 0.77/1.05 107 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(45)].
% 0.77/1.05 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(107,b,104,d)].
% 0.77/1.05 108 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(45)].
% 0.77/1.05 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(108,b,104,d)].
% 0.77/1.05 109 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(48)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_relat_1(u1_lattices(k1_lattice2(A))). [resolve(109,d,103,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_funct_1(u1_lattices(k1_lattice2(A))). [resolve(109,d,105,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_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(109,d,106,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(109,d,107,b)].
% 0.77/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_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(109,d,108,b)].
% 0.77/1.05 110 v6_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(62)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_relat_1(u1_lattices(c13)). [resolve(110,a,103,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_funct_1(u1_lattices(c13)). [resolve(110,a,105,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_funct_2(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(110,a,106,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_binop_1(u1_lattices(c13),u1_struct_0(c13)). [resolve(110,a,107,b)].
% 0.77/1.05 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v1_partfun1(u1_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(110,a,108,b)].
% 0.77/1.05 111 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(47)].
% 0.77/1.05 112 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.05 113 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(47)].
% 0.77/1.05 114 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(47)].
% 0.77/1.05 115 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(47)].
% 0.77/1.05 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(115,b,112,d)].
% 0.77/1.06 116 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(47)].
% 0.77/1.06 117 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(48)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v2_binop_1(u1_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(117,d,115,b)].
% 0.77/1.06 118 v7_lattices(c13) # label(rc9_lattices) # label(axiom). [clausify(62)].
% 0.77/1.06 Derived: v3_struct_0(c13) | -l1_lattices(c13) | v2_binop_1(u1_lattices(c13),u1_struct_0(c13)). [resolve(118,a,115,b)].
% 0.77/1.06 119 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.77/1.06 120 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.77/1.06 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(119,a,120,b)].
% 0.77/1.06 121 v1_relat_1(c5) # label(rc1_funct_1) # label(axiom). [clausify(50)].
% 0.77/1.06 Derived: -v1_xboole_0(c5) | -v1_funct_1(c5) | v2_funct_1(c5). [resolve(121,a,119,a)].
% 0.77/1.06 122 v1_relat_1(c7) # label(rc2_funct_1) # label(axiom). [clausify(54)].
% 0.77/1.06 Derived: -v1_xboole_0(c7) | -v1_funct_1(c7) | v2_funct_1(c7). [resolve(122,a,119,a)].
% 0.77/1.06 123 v1_relat_1(c9) # label(rc3_funct_1) # label(axiom). [clausify(57)].
% 0.77/1.06 124 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(88,b,87,d)].
% 0.77/1.06 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(124,c,119,a)].
% 0.77/1.06 125 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(93,d,88,b)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -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(125,f,119,a)].
% 0.77/1.06 126 v3_struct_0(c13) | -l2_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(94,a,88,b)].
% 0.77/1.06 Derived: v3_struct_0(c13) | -l2_lattices(c13) | -v1_xboole_0(u2_lattices(c13)) | -v1_funct_1(u2_lattices(c13)) | v2_funct_1(u2_lattices(c13)). [resolve(126,c,119,a)].
% 0.77/1.06 127 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(103,b,104,d)].
% 0.77/1.06 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(127,c,119,a)].
% 0.77/1.06 128 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(109,d,103,b)].
% 0.77/1.06 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -v1_xboole_0(u1_lattices(k1_lattice2(A))) | -v1_funct_1(u1_lattices(k1_lattice2(A))) | v2_funct_1(u1_lattices(k1_lattice2(A))). [resolve(128,f,119,a)].
% 0.77/1.06 129 v3_struct_0(c13) | -l1_lattices(c13) | v1_relat_1(u1_lattices(c13)). [resolve(110,a,103,b)].
% 0.77/1.06 Derived: v3_struct_0(c13) | -l1_lattices(c13) | -v1_xboole_0(u1_lattices(c13)) | -v1_funct_1(u1_lattices(c13)) | v2_funct_1(u1_lattices(c13)). [resolve(129,c,119,a)].
% 0.77/1.06 130 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(40)].
% 0.77/1.06 131 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(14)].
% 0.77/1.06 132 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(16)].
% 0.77/1.06 133 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(29)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(130,b,131,b)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(130,b,132,b)].
% 0.77/1.07 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(130,b,133,a)].
% 0.77/1.07 134 l1_struct_0(c11) # label(rc3_struct_0) # label(axiom). [clausify(59)].
% 0.77/1.07 Derived: v3_struct_0(c11) | -v1_xboole_0(u1_struct_0(c11)). [resolve(134,a,130,b)].
% 0.77/1.07 135 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(60)].
% 0.77/1.07 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(135,b,131,b)].
% 0.77/1.07 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(135,b,132,b)].
% 0.77/1.07 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(135,b,133,a)].
% 0.77/1.07 Derived: v3_struct_0(c11) | m1_subset_1(f11(c11),k1_zfmisc_1(u1_struct_0(c11))). [resolve(135,b,134,a)].
% 0.77/1.07 136 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(60)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_lattices(A). [resolve(136,b,131,b)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l2_lattices(A). [resolve(136,b,132,b)].
% 0.77/1.07 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(136,b,133,a)].
% 0.77/1.07 Derived: v3_struct_0(c11) | -v1_xboole_0(f11(c11)). [resolve(136,b,134,a)].
% 0.77/1.07 137 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f1(A),A) # label(existence_m1_filter_0) # label(axiom). [clausify(32)].
% 0.77/1.07 138 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_0) # label(axiom). [clausify(18)].
% 0.77/1.07 139 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m1_filter_0) # label(axiom). [clausify(18)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f1(A)). [resolve(137,d,138,d)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f1(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(137,d,139,d)].
% 0.77/1.07 140 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(63)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(B). [resolve(140,e,138,d)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(140,e,139,d)].
% 0.77/1.07 141 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(63)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f1(A),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(141,e,137,d)].
% 0.77/1.07 142 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(u1_struct_0(A),A) # label(t15_filter_0) # label(axiom). [clausify(66)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(142,d,138,d)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(u1_struct_0(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(142,d,139,d)].
% 0.77/1.07 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(u1_struct_0(A),A). [resolve(142,d,141,e)].
% 0.77/1.07 143 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(23)].
% 0.77/1.07 144 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(19)].
% 1.56/1.89 145 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(22)].
% 1.56/1.89 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(143,d,145,e)].
% 1.56/1.89 146 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(37)].
% 1.56/1.89 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(146,d,143,d)].
% 1.56/1.89 147 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f8(A),A) # label(rc1_lattice4) # label(axiom). [clausify(51)].
% 1.56/1.89 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(147,d,143,d)].
% 1.56/1.89 148 -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(25)].
% 1.56/1.89 149 -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(24)].
% 1.56/1.89 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(148,b,149,a)].
% 1.56/1.89 150 -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(27)].
% 1.56/1.89 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(150,b,149,a)].
% 1.56/1.89 151 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(38)].
% 1.56/1.89 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(151,a,149,a)].
% 1.56/1.89 152 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(64)].
% 1.56/1.89 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(152,a,148,b)].
% 1.56/1.89 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(152,a,150,b)].
% 1.56/1.89 Derived: m1_relset_1(f7(A,B),A,B). [resolve(152,a,151,a)].
% 1.56/1.89 153 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(64)].
% 1.56/1.89 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(153,a,149,a)].
% 1.56/1.89 154 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(70)].
% 1.56/1.89 155 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(65)].
% 1.56/1.89 156 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(70)].
% 1.56/1.89 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(154,b,155,a)].
% 1.56/1.89
% 1.56/1.89 ============================== end predicate elimination =============
% 1.56/1.89
% 1.56/1.89 Auto_denials: (non-Horn, no changes).
% 1.56/1.89
% 1.56/1.89 Term ordering decisions:
% 1.56/1.89 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. k2_zfmisc_1=1. f3=1. f7=1. u1_struct_0=1. k1_lattice2=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. f1=1. f2=1. f4=1. f5=1. f6=1. f8=1. f9=1. f10=1. f11=1. g3_lattices=1.
% 1.56/1.89
% 1.56/1.89 ============================== end of process initial clauses ========
% 1.56/1.89
% 1.56/1.89 ============================== CLAUSES FOR SEARCH ====================
% 1.56/1.89
% 1.56/1.89 ============================== end of clauses for search =============
% 1.56/1.89
% 1.56/1.89 ============================== SEARCH ================================
% 1.56/1.89
% 1.56/1.89 % Starting search at 0.07 seconds.
% 1.56/1.89
% 1.56/1.89 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 1043 (0.00 of 0.15 sec).
% 1.56/1.89
% 1.56/1.89 Low Water (keep): wt=95.000, iters=3557
% 1.56/1.89
% 1.56/1.89 Low Water (keep): wt=81.000, iters=3423
% 1.56/1.89
% 1.56/1.89 Low Water (keep): wt=71.000, iters=3390
% 1.56/1.89
% 3.28/3.55 Low Water (keep): wt=66.000, iters=3342
% 3.28/3.55
% 3.28/3.55 Low Water (keep): wt=57.000, iters=3411
% 3.28/3.55
% 3.28/3.55 Low Water (keep): wt=52.000, iters=3355
% 3.28/3.55
% 3.28/3.55 Low Water (keep): wt=51.000, iters=3396
% 3.28/3.55
% 3.28/3.55 Low Water (keep): wt=50.000, iters=3393
% 3.28/3.55
% 3.28/3.55 Low Water (keep): wt=47.000, iters=3368
% 3.28/3.55
% 3.28/3.55 Low Water (keep): wt=46.000, iters=3427
% 3.28/3.55
% 3.28/3.55 Low Water (keep): wt=44.000, iters=3360
% 3.28/3.55
% 3.28/3.55 ============================== PROOF =================================
% 3.28/3.55 % SZS status Theorem
% 3.28/3.55 % SZS output start Refutation
% 3.28/3.55
% 3.28/3.55 % Proof 1 at 2.51 (+ 0.02) seconds.
% 3.28/3.55 % Length of proof is 67.
% 3.28/3.55 % Level of proof is 9.
% 3.28/3.55 % Maximum clause weight is 40.000.
% 3.28/3.55 % Given clauses 5010.
% 3.28/3.55
% 3.28/3.55 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].
% 3.28/3.55 8 (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].
% 3.28/3.55 10 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 3.28/3.55 17 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 3.28/3.55 25 (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].
% 3.28/3.55 27 (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].
% 3.28/3.55 39 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 3.28/3.55 48 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 3.28/3.55 49 (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].
% 3.28/3.55 63 (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].
% 3.28/3.55 64 (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].
% 3.28/3.55 66 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m1_filter_0(u1_struct_0(A),A))) # label(t15_filter_0) # label(axiom) # label(non_clause). [assumption].
% 3.28/3.55 68 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) <-> m1_filter_2(B,k1_lattice2(A)))))) # label(t21_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.28/3.55 76 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> m2_filter_2(u1_struct_0(A),A))) # label(t28_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 3.28/3.55 78 -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)].
% 3.28/3.55 79 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(10)].
% 3.28/3.55 141 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(63)].
% 3.28/3.55 142 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(u1_struct_0(A),A) # label(t15_filter_0) # label(axiom). [clausify(66)].
% 3.28/3.55 148 -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(25)].
% 3.28/3.55 150 -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(27)].
% 3.28/3.55 152 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(64)].
% 3.28/3.55 159 -l3_lattices(A) | k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) # label(d2_lattice2) # label(axiom). [clausify(8)].
% 3.28/3.55 160 -l3_lattices(A) | g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)) = k1_lattice2(A). [copy(159),flip(b)].
% 3.28/3.55 162 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(10)].
% 3.28/3.55 163 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(17)].
% 3.28/3.55 164 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(17)].
% 3.28/3.55 167 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(25)].
% 3.28/3.55 168 -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(25)].
% 3.28/3.55 169 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(27)].
% 3.28/3.55 170 -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(27)].
% 3.28/3.55 178 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(39)].
% 3.28/3.55 183 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(48)].
% 3.28/3.55 184 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | D = B # label(free_g3_lattices) # label(axiom). [clausify(49)].
% 3.28/3.55 186 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | F = C # label(free_g3_lattices) # label(axiom). [clausify(49)].
% 3.28/3.55 207 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(B,A) | -m1_filter_2(B,k1_lattice2(A)) # label(t21_filter_2) # label(axiom). [clausify(68)].
% 3.28/3.55 214 -v3_struct_0(c14) # label(t28_filter_2) # label(negated_conjecture). [clausify(76)].
% 3.28/3.55 215 v10_lattices(c14) # label(t28_filter_2) # label(negated_conjecture). [clausify(76)].
% 3.28/3.55 216 l3_lattices(c14) # label(t28_filter_2) # label(negated_conjecture). [clausify(76)].
% 3.28/3.55 217 -m2_filter_2(u1_struct_0(c14),c14) # label(t28_filter_2) # label(negated_conjecture). [clausify(76)].
% 3.28/3.55 219 -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(79,b,78,b)].
% 3.28/3.55 262 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(u1_struct_0(A),A). [resolve(142,d,141,e)].
% 3.28/3.55 263 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(u1_struct_0(A),A). [copy(262),merge(d),merge(e),merge(f)].
% 3.28/3.55 273 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(152,a,148,b)].
% 3.28/3.55 274 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(152,a,150,b)].
% 3.28/3.55 339 v10_lattices(k1_lattice2(c14)). [resolve(215,a,183,b),unit_del(a,214),unit_del(b,216)].
% 3.28/3.55 342 -v3_struct_0(k1_lattice2(c14)). [resolve(216,a,178,b),unit_del(a,214)].
% 3.28/3.55 343 l2_lattices(c14). [resolve(216,a,164,a)].
% 3.28/3.55 344 l1_lattices(c14). [resolve(216,a,163,a)].
% 3.28/3.55 345 l3_lattices(k1_lattice2(c14)). [resolve(216,a,162,a)].
% 3.28/3.55 346 g3_lattices(u1_struct_0(c14),u1_lattices(c14),u2_lattices(c14)) = k1_lattice2(c14). [resolve(216,a,160,a)].
% 3.28/3.55 437 m1_relset_1(u2_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(343,a,274,b)].
% 3.28/3.55 442 v1_funct_2(u2_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(343,a,170,a)].
% 3.28/3.55 443 v1_funct_1(u2_lattices(c14)). [resolve(343,a,169,a)].
% 3.28/3.55 444 m1_relset_1(u1_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(344,a,273,b)].
% 3.28/3.55 446 v1_funct_2(u1_lattices(c14),k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)). [resolve(344,a,168,a)].
% 3.28/3.55 447 v1_funct_1(u1_lattices(c14)). [resolve(344,a,167,a)].
% 3.28/3.55 482 m1_filter_2(u1_struct_0(k1_lattice2(c14)),k1_lattice2(c14)). [resolve(339,a,263,b),unit_del(a,342),unit_del(b,345)].
% 3.28/3.55 488 g3_lattices(u1_struct_0(k1_lattice2(c14)),u2_lattices(k1_lattice2(c14)),u1_lattices(k1_lattice2(c14))) = k1_lattice2(c14). [resolve(345,a,219,b),unit_del(a,216)].
% 3.28/3.55 815 m2_filter_2(u1_struct_0(k1_lattice2(c14)),c14). [resolve(482,a,207,e),unit_del(a,214),unit_del(b,215),unit_del(c,216)].
% 3.28/3.55 1782 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)) | g3_lattices(u1_struct_0(c14),A,u2_lattices(c14)) != g3_lattices(B,C,D) | u2_lattices(c14) = D. [resolve(437,a,186,f),flip(f),flip(g),unit_del(d,443),unit_del(e,442)].
% 3.28/3.55 1786 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c14),u1_struct_0(c14)),u1_struct_0(c14)) | g3_lattices(u1_struct_0(c14),A,u2_lattices(c14)) != g3_lattices(B,C,D) | u1_struct_0(c14) = B. [resolve(437,a,184,f),flip(f),flip(g),unit_del(d,443),unit_del(e,442)].
% 3.28/3.55 12453 g3_lattices(A,B,C) != k1_lattice2(c14) | u2_lattices(c14) = C. [resolve(1782,c,444,a),rewrite([346(20)]),flip(c),unit_del(a,447),unit_del(b,446)].
% 3.28/3.55 12454 u1_lattices(k1_lattice2(c14)) = u2_lattices(c14). [resolve(12453,a,488,a),flip(a)].
% 3.28/3.55 12609 g3_lattices(u1_struct_0(k1_lattice2(c14)),u2_lattices(k1_lattice2(c14)),u2_lattices(c14)) = k1_lattice2(c14). [back_rewrite(488),rewrite([12454(9)])].
% 3.28/3.55 12613 g3_lattices(A,B,C) != k1_lattice2(c14) | u1_struct_0(c14) = A. [resolve(1786,c,444,a),rewrite([346(20)]),flip(c),unit_del(a,447),unit_del(b,446)].
% 3.28/3.55 12802 u1_struct_0(k1_lattice2(c14)) = u1_struct_0(c14). [resolve(12609,a,12613,a),flip(a)].
% 3.28/3.55 12876 $F. [back_rewrite(815),rewrite([12802(3)]),unit_del(a,217)].
% 3.28/3.55
% 3.28/3.55 % SZS output end Refutation
% 3.28/3.55 ============================== end of proof ==========================
% 3.28/3.55
% 3.28/3.55 ============================== STATISTICS ============================
% 3.28/3.55
% 3.28/3.55 Given=5010. Generated=25916. Kept=12693. proofs=1.
% 3.28/3.55 Usable=2409. Sos=1457. Demods=135. Limbo=74, Disabled=8976. Hints=0.
% 3.28/3.55 Megabytes=20.33.
% 3.28/3.55 User_CPU=2.51, System_CPU=0.02, Wall_clock=2.
% 3.28/3.55
% 3.28/3.55 ============================== end of statistics =====================
% 3.28/3.55
% 3.28/3.55 ============================== end of search =========================
% 3.28/3.55
% 3.28/3.55 THEOREM PROVED
% 3.28/3.55 % SZS status Theorem
% 3.28/3.55
% 3.28/3.55 Exiting with 1 proof.
% 3.28/3.55
% 3.28/3.55 Process 28527 exit (max_proofs) Wed Jun 29 21:32:29 2022
% 3.28/3.55 Prover9 interrupted
%------------------------------------------------------------------------------