TSTP Solution File: LAT314+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT314+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n014.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 06:27:23 EDT 2022
% Result : Timeout 300.05s 300.33s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT314+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.33 % Computer : n014.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 09:43:27 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.42/1.06 ============================== Prover9 ===============================
% 0.42/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.42/1.06 Process 10712 was started by sandbox on n014.cluster.edu,
% 0.42/1.06 Wed Jun 29 09:43:27 2022
% 0.42/1.06 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_10557_n014.cluster.edu".
% 0.42/1.06 ============================== end of head ===========================
% 0.42/1.06
% 0.42/1.06 ============================== INPUT =================================
% 0.42/1.06
% 0.42/1.06 % Reading from file /tmp/Prover9_10557_n014.cluster.edu
% 0.42/1.06
% 0.42/1.06 set(prolog_style_variables).
% 0.42/1.06 set(auto2).
% 0.42/1.06 % set(auto2) -> set(auto).
% 0.42/1.06 % set(auto) -> set(auto_inference).
% 0.42/1.06 % set(auto) -> set(auto_setup).
% 0.42/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.42/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.42/1.06 % set(auto) -> set(auto_limits).
% 0.42/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.42/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.42/1.06 % set(auto) -> set(auto_denials).
% 0.42/1.06 % set(auto) -> set(auto_process).
% 0.42/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.42/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.42/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.42/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.42/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.42/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.42/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.42/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.42/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.42/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.42/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.42/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.42/1.06 % set(auto2) -> assign(stats, some).
% 0.42/1.06 % set(auto2) -> clear(echo_input).
% 0.42/1.06 % set(auto2) -> set(quiet).
% 0.42/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.42/1.06 % set(auto2) -> clear(print_given).
% 0.42/1.06 assign(lrs_ticks,-1).
% 0.42/1.06 assign(sos_limit,10000).
% 0.42/1.06 assign(order,kbo).
% 0.42/1.06 set(lex_order_vars).
% 0.42/1.06 clear(print_given).
% 0.42/1.06
% 0.42/1.06 % formulas(sos). % not echoed (81 formulas)
% 0.42/1.06
% 0.42/1.06 ============================== end of input ==========================
% 0.42/1.06
% 0.42/1.06 % From the command line: assign(max_seconds, 300).
% 0.42/1.06
% 0.42/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.42/1.06
% 0.42/1.06 % Formulas that are not ordinary clauses:
% 0.42/1.06 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 2 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 3 (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].
% 0.42/1.06 4 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 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].
% 0.42/1.06 8 (all A all B k2_tarski(A,B) = k2_tarski(B,A)) # label(commutativity_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 9 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k3_lattices(A,C,B))) # label(commutativity_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 10 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> k20_filter_2(A,B,C) = a_3_0_filter_2(A,B,C))))))) # label(d13_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 11 (all A (v1_relat_1(A) & v1_funct_1(A) -> (all B all C k1_binop_1(A,B,C) = k1_funct_1(A,k4_tarski(B,C))))) # label(d1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 12 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) <-> (all D (m1_subset_1(D,A) -> (r2_hidden(D,B) <-> r2_hidden(D,C))))))))))) # label(d1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 13 (all A (-v3_struct_0(A) & l2_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> k1_lattices(A,B,C) = k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C))))))) # label(d1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 14 (all A all B k4_tarski(A,B) = k2_tarski(k2_tarski(A,B),k1_tarski(A))) # label(d5_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 15 $T # label(dt_k1_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 16 $T # label(dt_k1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 17 (all A all B all C (-v3_struct_0(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 18 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 19 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 20 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 21 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k20_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 22 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) -> m1_subset_1(k2_binop_1(A,B,C,D,E,F),C))) # label(dt_k2_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 23 $T # label(dt_k2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 24 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 25 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)))) # label(dt_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 26 $T # label(dt_k4_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 27 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 28 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 29 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 30 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 31 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 32 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 33 (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].
% 0.42/1.06 34 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 35 (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].
% 0.42/1.06 36 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 37 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 38 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 39 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 40 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 41 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 42 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 43 (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].
% 0.42/1.06 44 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 45 (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].
% 0.42/1.06 46 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 47 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(k20_filter_2(A,B,C)))) # label(fc3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 48 (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].
% 0.42/1.06 49 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)) & v1_realset1(k1_tarski(A)))) # label(fc3_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 50 (all A all B -v1_xboole_0(k2_tarski(A,B))) # label(fc3_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 51 (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].
% 0.42/1.06 52 (all A all B all C all D (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & -v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) & -v1_xboole_0(D) & m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B))) -> (r2_hidden(A,a_3_0_filter_2(B,C,D)) <-> (exists E exists F (m1_subset_1(E,u1_struct_0(B)) & m1_subset_1(F,u1_struct_0(B)) & A = k3_lattices(B,E,F) & r2_hidden(E,C) & r2_hidden(F,D)))))) # label(fraenkel_a_3_0_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 53 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 54 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 55 (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].
% 0.42/1.06 56 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 57 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 58 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 59 (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].
% 0.42/1.06 60 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 61 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 62 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 63 (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].
% 0.42/1.06 64 (all A all B all C all D all E all F (-v1_xboole_0(A) & -v1_xboole_0(B) & v1_funct_1(D) & v1_funct_2(D,k2_zfmisc_1(A,B),C) & m1_relset_1(D,k2_zfmisc_1(A,B),C) & m1_subset_1(E,A) & m1_subset_1(F,B) -> k2_binop_1(A,B,C,D,E,F) = k1_binop_1(D,E,F))) # label(redefinition_k2_binop_1) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 65 (all A all B all C (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> k3_lattices(A,B,C) = k1_lattices(A,B,C))) # label(redefinition_k3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 66 (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].
% 0.42/1.06 67 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) <-> B = C))) # label(redefinition_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 68 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> r1_filter_2(A,B,B))) # label(reflexivity_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 69 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 70 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) -> r1_filter_2(A,C,B)))) # label(symmetry_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 71 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 72 (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].
% 0.42/1.06 73 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 74 (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].
% 0.42/1.06 75 (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].
% 0.42/1.06 76 (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].
% 0.42/1.06 77 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 78 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 79 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.42/1.06 80 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> r1_filter_2(u1_struct_0(A),k20_filter_2(A,B,C),k20_filter_2(A,C,B)))))))) # label(t48_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.42/1.06
% 0.42/1.06 ============================== end of process non-clausal formulas ===
% 0.42/1.06
% 0.42/1.06 ============================== PROCESS INITIAL CLAUSES ===============
% 0.42/1.06
% 0.42/1.06 ============================== PREDICATE ELIMINATION =================
% 0.42/1.06 81 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.42/1.06 82 -v1_xboole_0(A) | v1_funct_1(A) # label(cc1_funct_1) # label(axiom). [clausify(2)].
% 0.42/1.06 Derived: -v1_relat_1(A) | -v1_xboole_0(A) | v2_funct_1(A) | -v1_xboole_0(A). [resolve(81,c,82,b)].
% 0.42/1.06 83 -v1_relat_1(A) | -v1_funct_1(A) | k1_funct_1(A,k4_tarski(B,C)) = k1_binop_1(A,B,C) # label(d1_binop_1) # label(axiom). [clausify(11)].
% 0.42/1.06 Derived: -v1_relat_1(A) | k1_funct_1(A,k4_tarski(B,C)) = k1_binop_1(A,B,C) | -v1_xboole_0(A). [resolve(83,b,82,b)].
% 0.42/1.06 84 v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,B),D) | -m1_relset_1(C,k2_zfmisc_1(A,B),D) | -m1_subset_1(E,A) | -m1_subset_1(F,B) | m1_subset_1(k2_binop_1(A,B,D,C,E,F),D) # label(dt_k2_binop_1) # label(axiom). [clausify(22)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(C,k2_zfmisc_1(A,B),D) | -m1_relset_1(C,k2_zfmisc_1(A,B),D) | -m1_subset_1(E,A) | -m1_subset_1(F,B) | m1_subset_1(k2_binop_1(A,B,D,C,E,F),D) | -v1_xboole_0(C). [resolve(84,c,82,b)].
% 0.42/1.06 85 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(35)].
% 0.42/1.06 Derived: -l2_lattices(A) | -v1_relat_1(u2_lattices(A)) | k1_funct_1(u2_lattices(A),k4_tarski(B,C)) = k1_binop_1(u2_lattices(A),B,C). [resolve(85,b,83,b)].
% 0.42/1.06 Derived: -l2_lattices(A) | v1_xboole_0(B) | v1_xboole_0(C) | -v1_funct_2(u2_lattices(A),k2_zfmisc_1(B,C),D) | -m1_relset_1(u2_lattices(A),k2_zfmisc_1(B,C),D) | -m1_subset_1(E,B) | -m1_subset_1(F,C) | m1_subset_1(k2_binop_1(B,C,D,u2_lattices(A),E,F),D). [resolve(85,b,84,c)].
% 0.42/1.06 86 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(45)].
% 0.42/1.06 87 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(48)].
% 0.42/1.06 88 v1_funct_1(c5) # label(rc1_funct_1) # label(axiom). [clausify(53)].
% 0.42/1.06 Derived: -v1_relat_1(c5) | k1_funct_1(c5,k4_tarski(A,B)) = k1_binop_1(c5,A,B). [resolve(88,a,83,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(c5,k2_zfmisc_1(A,B),C) | -m1_relset_1(c5,k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | m1_subset_1(k2_binop_1(A,B,C,c5,D,E),C). [resolve(88,a,84,c)].
% 0.42/1.06 89 v1_funct_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(57)].
% 0.42/1.06 Derived: -v1_relat_1(c8) | k1_funct_1(c8,k4_tarski(A,B)) = k1_binop_1(c8,A,B). [resolve(89,a,83,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(c8,k2_zfmisc_1(A,B),C) | -m1_relset_1(c8,k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | m1_subset_1(k2_binop_1(A,B,C,c8,D,E),C). [resolve(89,a,84,c)].
% 0.42/1.06 90 v1_funct_1(c11) # label(rc3_funct_1) # label(axiom). [clausify(61)].
% 0.42/1.06 Derived: -v1_relat_1(c11) | k1_funct_1(c11,k4_tarski(A,B)) = k1_binop_1(c11,A,B). [resolve(90,a,83,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(c11,k2_zfmisc_1(A,B),C) | -m1_relset_1(c11,k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | m1_subset_1(k2_binop_1(A,B,C,c11,D,E),C). [resolve(90,a,84,c)].
% 0.42/1.06 91 v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,B),D) | -m1_relset_1(C,k2_zfmisc_1(A,B),D) | -m1_subset_1(E,A) | -m1_subset_1(F,B) | k2_binop_1(A,B,D,C,E,F) = k1_binop_1(C,E,F) # label(redefinition_k2_binop_1) # label(axiom). [clausify(64)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(C,k2_zfmisc_1(A,B),D) | -m1_relset_1(C,k2_zfmisc_1(A,B),D) | -m1_subset_1(E,A) | -m1_subset_1(F,B) | k2_binop_1(A,B,D,C,E,F) = k1_binop_1(C,E,F) | -v1_xboole_0(C). [resolve(91,c,82,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(C),k2_zfmisc_1(A,B),D) | -m1_relset_1(u2_lattices(C),k2_zfmisc_1(A,B),D) | -m1_subset_1(E,A) | -m1_subset_1(F,B) | k2_binop_1(A,B,D,u2_lattices(C),E,F) = k1_binop_1(u2_lattices(C),E,F) | -l2_lattices(C). [resolve(91,c,85,b)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(c5,k2_zfmisc_1(A,B),C) | -m1_relset_1(c5,k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | k2_binop_1(A,B,C,c5,D,E) = k1_binop_1(c5,D,E). [resolve(91,c,88,a)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(c8,k2_zfmisc_1(A,B),C) | -m1_relset_1(c8,k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | k2_binop_1(A,B,C,c8,D,E) = k1_binop_1(c8,D,E). [resolve(91,c,89,a)].
% 0.42/1.06 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(c11,k2_zfmisc_1(A,B),C) | -m1_relset_1(c11,k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | k2_binop_1(A,B,C,c11,D,E) = k1_binop_1(c11,D,E). [resolve(91,c,90,a)].
% 0.42/1.07 92 l3_lattices(c4) # label(existence_l3_lattices) # label(axiom). [clausify(39)].
% 0.42/1.07 93 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.42/1.07 94 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.42/1.07 95 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.42/1.07 96 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.42/1.07 97 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v8_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.42/1.07 98 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v9_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.42/1.07 99 -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)].
% 0.42/1.07 100 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | a_3_0_filter_2(A,B,C) = k20_filter_2(A,B,C) # label(d13_filter_2) # label(axiom). [clausify(10)].
% 0.42/1.07 101 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | m1_subset_1(k20_filter_2(A,B,C),k1_zfmisc_1(u1_struct_0(A))) # label(dt_k20_filter_2) # label(axiom). [clausify(21)].
% 0.42/1.07 102 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(30)].
% 0.42/1.07 103 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(30)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v4_lattices(c4). [resolve(92,a,93,a)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v5_lattices(c4). [resolve(92,a,94,a)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v6_lattices(c4). [resolve(92,a,95,a)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v7_lattices(c4). [resolve(92,a,96,a)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v8_lattices(c4). [resolve(92,a,97,a)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v9_lattices(c4). [resolve(92,a,98,a)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -v5_lattices(c4) | -v6_lattices(c4) | -v7_lattices(c4) | -v8_lattices(c4) | -v9_lattices(c4) | v10_lattices(c4). [resolve(92,a,99,a)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | a_3_0_filter_2(c4,A,B) = k20_filter_2(c4,A,B). [resolve(92,a,100,c)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | m1_subset_1(k20_filter_2(c4,A,B),k1_zfmisc_1(u1_struct_0(c4))). [resolve(92,a,101,c)].
% 0.42/1.07 Derived: l1_lattices(c4). [resolve(92,a,102,a)].
% 0.42/1.07 Derived: l2_lattices(c4). [resolve(92,a,103,a)].
% 0.42/1.07 104 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -v1_xboole_0(k20_filter_2(A,B,C)) # label(fc3_filter_2) # label(axiom). [clausify(47)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | -v1_xboole_0(k20_filter_2(c4,A,B)). [resolve(104,c,92,a)].
% 0.42/1.07 105 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r2_hidden(D,a_3_0_filter_2(A,B,C)) | m1_subset_1(f5(D,A,B,C),u1_struct_0(A)) # label(fraenkel_a_3_0_filter_2) # label(axiom). [clausify(52)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | -r2_hidden(C,a_3_0_filter_2(c4,A,B)) | m1_subset_1(f5(C,c4,A,B),u1_struct_0(c4)). [resolve(105,c,92,a)].
% 0.42/1.07 106 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r2_hidden(D,a_3_0_filter_2(A,B,C)) | m1_subset_1(f6(D,A,B,C),u1_struct_0(A)) # label(fraenkel_a_3_0_filter_2) # label(axiom). [clausify(52)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | -r2_hidden(C,a_3_0_filter_2(c4,A,B)) | m1_subset_1(f6(C,c4,A,B),u1_struct_0(c4)). [resolve(106,c,92,a)].
% 0.42/1.07 107 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r2_hidden(D,a_3_0_filter_2(A,B,C)) | k3_lattices(A,f5(D,A,B,C),f6(D,A,B,C)) = D # label(fraenkel_a_3_0_filter_2) # label(axiom). [clausify(52)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | -r2_hidden(C,a_3_0_filter_2(c4,A,B)) | k3_lattices(c4,f5(C,c4,A,B),f6(C,c4,A,B)) = C. [resolve(107,c,92,a)].
% 0.42/1.07 108 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r2_hidden(D,a_3_0_filter_2(A,B,C)) | r2_hidden(f5(D,A,B,C),B) # label(fraenkel_a_3_0_filter_2) # label(axiom). [clausify(52)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | -r2_hidden(C,a_3_0_filter_2(c4,A,B)) | r2_hidden(f5(C,c4,A,B),A). [resolve(108,c,92,a)].
% 0.42/1.07 109 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | -r2_hidden(D,a_3_0_filter_2(A,B,C)) | r2_hidden(f6(D,A,B,C),C) # label(fraenkel_a_3_0_filter_2) # label(axiom). [clausify(52)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | -r2_hidden(C,a_3_0_filter_2(c4,A,B)) | r2_hidden(f6(C,c4,A,B),B). [resolve(109,c,92,a)].
% 0.42/1.07 110 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | r2_hidden(D,a_3_0_filter_2(A,B,C)) | -m1_subset_1(E,u1_struct_0(A)) | -m1_subset_1(F,u1_struct_0(A)) | k3_lattices(A,E,F) != D | -r2_hidden(E,B) | -r2_hidden(F,C) # label(fraenkel_a_3_0_filter_2) # label(axiom). [clausify(52)].
% 0.42/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c4))) | r2_hidden(C,a_3_0_filter_2(c4,A,B)) | -m1_subset_1(D,u1_struct_0(c4)) | -m1_subset_1(E,u1_struct_0(c4)) | k3_lattices(c4,D,E) != C | -r2_hidden(D,A) | -r2_hidden(E,B). [resolve(110,c,92,a)].
% 0.42/1.07 111 l3_lattices(c13) # label(t48_filter_2) # label(negated_conjecture). [clausify(80)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v4_lattices(c13). [resolve(111,a,93,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v5_lattices(c13). [resolve(111,a,94,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v6_lattices(c13). [resolve(111,a,95,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v7_lattices(c13). [resolve(111,a,96,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v8_lattices(c13). [resolve(111,a,97,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v9_lattices(c13). [resolve(111,a,98,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -v5_lattices(c13) | -v6_lattices(c13) | -v7_lattices(c13) | -v8_lattices(c13) | -v9_lattices(c13) | v10_lattices(c13). [resolve(111,a,99,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | a_3_0_filter_2(c13,A,B) = k20_filter_2(c13,A,B). [resolve(111,a,100,c)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | m1_subset_1(k20_filter_2(c13,A,B),k1_zfmisc_1(u1_struct_0(c13))). [resolve(111,a,101,c)].
% 0.42/1.07 Derived: l1_lattices(c13). [resolve(111,a,102,a)].
% 0.42/1.07 Derived: l2_lattices(c13). [resolve(111,a,103,a)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | -v1_xboole_0(k20_filter_2(c13,A,B)). [resolve(111,a,104,c)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | -r2_hidden(C,a_3_0_filter_2(c13,A,B)) | m1_subset_1(f5(C,c13,A,B),u1_struct_0(c13)). [resolve(111,a,105,c)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | -r2_hidden(C,a_3_0_filter_2(c13,A,B)) | m1_subset_1(f6(C,c13,A,B),u1_struct_0(c13)). [resolve(111,a,106,c)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | -r2_hidden(C,a_3_0_filter_2(c13,A,B)) | k3_lattices(c13,f5(C,c13,A,B),f6(C,c13,A,B)) = C. [resolve(111,a,107,c)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | -r2_hidden(C,a_3_0_filter_2(c13,A,B)) | r2_hidden(f5(C,c13,A,B),A). [resolve(111,a,108,c)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | -r2_hidden(C,a_3_0_filter_2(c13,A,B)) | r2_hidden(f6(C,c13,A,B),B). [resolve(111,a,109,c)].
% 0.42/1.07 Derived: v3_struct_0(c13) | -v10_lattices(c13) | v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c13))) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(c13))) | r2_hidden(C,a_3_0_filter_2(c13,A,B)) | -m1_subset_1(D,u1_struct_0(c13)) | -m1_subset_1(E,u1_struct_0(c13)) | k3_lattices(c13,D,E) != C | -r2_hidden(D,A) | -r2_hidden(E,B). [resolve(111,a,110,c)].
% 0.42/1.07 112 l2_lattices(c3) # label(existence_l2_lattices) # label(axiom). [clausify(38)].
% 0.42/1.07 113 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k3_lattices(A,C,B) = k3_lattices(A,B,C) # label(commutativity_k3_lattices) # label(axiom). [clausify(9)].
% 0.42/1.07 114 v3_struct_0(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k2_binop_1(u1_struct_0(A),u1_struct_0(A),u1_struct_0(A),u2_lattices(A),B,C) = k1_lattices(A,B,C) # label(d1_lattices) # label(axiom). [clausify(13)].
% 0.42/1.07 115 v3_struct_0(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k1_lattices(A,B,C),u1_struct_0(A)) # label(dt_k1_lattices) # label(axiom). [clausify(17)].
% 0.42/1.07 116 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m1_subset_1(k3_lattices(A,B,C),u1_struct_0(A)) # label(dt_k3_lattices) # label(axiom). [clausify(25)].
% 0.42/1.07 117 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(29)].
% 0.42/1.07 118 -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(35)].
% 0.42/1.07 119 -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(35)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v4_lattices(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | k3_lattices(c3,B,A) = k3_lattices(c3,A,B). [resolve(112,a,113,c)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | k2_binop_1(u1_struct_0(c3),u1_struct_0(c3),u1_struct_0(c3),u2_lattices(c3),A,B) = k1_lattices(c3,A,B). [resolve(112,a,114,b)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | m1_subset_1(k1_lattices(c3,A,B),u1_struct_0(c3)). [resolve(112,a,115,b)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v4_lattices(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | m1_subset_1(k3_lattices(c3,A,B),u1_struct_0(c3)). [resolve(112,a,116,c)].
% 0.42/1.07 Derived: l1_struct_0(c3). [resolve(112,a,117,a)].
% 0.42/1.07 Derived: v1_funct_2(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(112,a,118,a)].
% 0.42/1.07 Derived: m2_relset_1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(112,a,119,a)].
% 0.42/1.07 120 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(45)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v4_lattices(c3) | v1_relat_1(u2_lattices(c3)). [resolve(120,c,112,a)].
% 0.42/1.07 121 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(45)].
% 0.42/1.07 122 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(45)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v4_lattices(c3) | v1_binop_1(u2_lattices(c3),u1_struct_0(c3)). [resolve(122,c,112,a)].
% 0.42/1.07 123 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(45)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v4_lattices(c3) | v1_partfun1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(123,c,112,a)].
% 0.42/1.07 124 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(48)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v5_lattices(c3) | v1_relat_1(u2_lattices(c3)). [resolve(124,c,112,a)].
% 0.42/1.07 125 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(48)].
% 0.42/1.07 126 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(48)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v5_lattices(c3) | v2_binop_1(u2_lattices(c3),u1_struct_0(c3)). [resolve(126,c,112,a)].
% 0.42/1.07 127 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(48)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v5_lattices(c3) | v1_partfun1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(127,c,112,a)].
% 0.42/1.07 128 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | k1_lattices(A,B,C) = k3_lattices(A,B,C) # label(redefinition_k3_lattices) # label(axiom). [clausify(65)].
% 0.42/1.07 Derived: v3_struct_0(c3) | -v4_lattices(c3) | -m1_subset_1(A,u1_struct_0(c3)) | -m1_subset_1(B,u1_struct_0(c3)) | k1_lattices(c3,A,B) = k3_lattices(c3,A,B). [resolve(128,c,112,a)].
% 0.42/1.07 129 -l2_lattices(A) | -v1_relat_1(u2_lattices(A)) | k1_funct_1(u2_lattices(A),k4_tarski(B,C)) = k1_binop_1(u2_lattices(A),B,C). [resolve(85,b,83,b)].
% 0.42/1.07 Derived: -v1_relat_1(u2_lattices(c3)) | k1_funct_1(u2_lattices(c3),k4_tarski(A,B)) = k1_binop_1(u2_lattices(c3),A,B). [resolve(129,a,112,a)].
% 0.42/1.08 130 -l2_lattices(A) | v1_xboole_0(B) | v1_xboole_0(C) | -v1_funct_2(u2_lattices(A),k2_zfmisc_1(B,C),D) | -m1_relset_1(u2_lattices(A),k2_zfmisc_1(B,C),D) | -m1_subset_1(E,B) | -m1_subset_1(F,C) | m1_subset_1(k2_binop_1(B,C,D,u2_lattices(A),E,F),D). [resolve(85,b,84,c)].
% 0.42/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(c3),k2_zfmisc_1(A,B),C) | -m1_relset_1(u2_lattices(c3),k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | m1_subset_1(k2_binop_1(A,B,C,u2_lattices(c3),D,E),C). [resolve(130,a,112,a)].
% 0.42/1.08 131 v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(C),k2_zfmisc_1(A,B),D) | -m1_relset_1(u2_lattices(C),k2_zfmisc_1(A,B),D) | -m1_subset_1(E,A) | -m1_subset_1(F,B) | k2_binop_1(A,B,D,u2_lattices(C),E,F) = k1_binop_1(u2_lattices(C),E,F) | -l2_lattices(C). [resolve(91,c,85,b)].
% 0.42/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(c3),k2_zfmisc_1(A,B),C) | -m1_relset_1(u2_lattices(c3),k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | k2_binop_1(A,B,C,u2_lattices(c3),D,E) = k1_binop_1(u2_lattices(c3),D,E). [resolve(131,h,112,a)].
% 0.42/1.08 132 l2_lattices(c4). [resolve(92,a,103,a)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k3_lattices(c4,B,A) = k3_lattices(c4,A,B). [resolve(132,a,113,c)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k2_binop_1(u1_struct_0(c4),u1_struct_0(c4),u1_struct_0(c4),u2_lattices(c4),A,B) = k1_lattices(c4,A,B). [resolve(132,a,114,b)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m1_subset_1(k1_lattices(c4,A,B),u1_struct_0(c4)). [resolve(132,a,115,b)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m1_subset_1(k3_lattices(c4,A,B),u1_struct_0(c4)). [resolve(132,a,116,c)].
% 0.42/1.08 Derived: l1_struct_0(c4). [resolve(132,a,117,a)].
% 0.42/1.08 Derived: v1_funct_2(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(132,a,118,a)].
% 0.42/1.08 Derived: m2_relset_1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(132,a,119,a)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v4_lattices(c4) | v1_relat_1(u2_lattices(c4)). [resolve(132,a,120,c)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v4_lattices(c4) | v1_binop_1(u2_lattices(c4),u1_struct_0(c4)). [resolve(132,a,122,c)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v4_lattices(c4) | v1_partfun1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(132,a,123,c)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v5_lattices(c4) | v1_relat_1(u2_lattices(c4)). [resolve(132,a,124,c)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v5_lattices(c4) | v2_binop_1(u2_lattices(c4),u1_struct_0(c4)). [resolve(132,a,126,c)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v5_lattices(c4) | v1_partfun1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(132,a,127,c)].
% 0.42/1.08 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | k1_lattices(c4,A,B) = k3_lattices(c4,A,B). [resolve(132,a,128,c)].
% 0.42/1.08 Derived: -v1_relat_1(u2_lattices(c4)) | k1_funct_1(u2_lattices(c4),k4_tarski(A,B)) = k1_binop_1(u2_lattices(c4),A,B). [resolve(132,a,129,a)].
% 0.42/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(c4),k2_zfmisc_1(A,B),C) | -m1_relset_1(u2_lattices(c4),k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | m1_subset_1(k2_binop_1(A,B,C,u2_lattices(c4),D,E),C). [resolve(132,a,130,a)].
% 0.42/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(c4),k2_zfmisc_1(A,B),C) | -m1_relset_1(u2_lattices(c4),k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | k2_binop_1(A,B,C,u2_lattices(c4),D,E) = k1_binop_1(u2_lattices(c4),D,E). [resolve(132,a,131,h)].
% 0.42/1.08 133 l2_lattices(c13). [resolve(111,a,103,a)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k3_lattices(c13,B,A) = k3_lattices(c13,A,B). [resolve(133,a,113,c)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k2_binop_1(u1_struct_0(c13),u1_struct_0(c13),u1_struct_0(c13),u2_lattices(c13),A,B) = k1_lattices(c13,A,B). [resolve(133,a,114,b)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | m1_subset_1(k1_lattices(c13,A,B),u1_struct_0(c13)). [resolve(133,a,115,b)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | m1_subset_1(k3_lattices(c13,A,B),u1_struct_0(c13)). [resolve(133,a,116,c)].
% 0.42/1.08 Derived: l1_struct_0(c13). [resolve(133,a,117,a)].
% 0.42/1.08 Derived: v1_funct_2(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(133,a,118,a)].
% 0.42/1.08 Derived: m2_relset_1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(133,a,119,a)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v4_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(133,a,120,c)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v4_lattices(c13) | v1_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(133,a,122,c)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v4_lattices(c13) | v1_partfun1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(133,a,123,c)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v5_lattices(c13) | v1_relat_1(u2_lattices(c13)). [resolve(133,a,124,c)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v5_lattices(c13) | v2_binop_1(u2_lattices(c13),u1_struct_0(c13)). [resolve(133,a,126,c)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v5_lattices(c13) | v1_partfun1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(133,a,127,c)].
% 0.42/1.08 Derived: v3_struct_0(c13) | -v4_lattices(c13) | -m1_subset_1(A,u1_struct_0(c13)) | -m1_subset_1(B,u1_struct_0(c13)) | k1_lattices(c13,A,B) = k3_lattices(c13,A,B). [resolve(133,a,128,c)].
% 0.42/1.08 Derived: -v1_relat_1(u2_lattices(c13)) | k1_funct_1(u2_lattices(c13),k4_tarski(A,B)) = k1_binop_1(u2_lattices(c13),A,B). [resolve(133,a,129,a)].
% 0.42/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(c13),k2_zfmisc_1(A,B),C) | -m1_relset_1(u2_lattices(c13),k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | m1_subset_1(k2_binop_1(A,B,C,u2_lattices(c13),D,E),C). [resolve(133,a,130,a)].
% 0.42/1.08 Derived: v1_xboole_0(A) | v1_xboole_0(B) | -v1_funct_2(u2_lattices(c13),k2_zfmisc_1(A,B),C) | -m1_relset_1(u2_lattices(c13),k2_zfmisc_1(A,B),C) | -m1_subset_1(D,A) | -m1_subset_1(E,B) | k2_binop_1(A,B,C,u2_lattices(c13),D,E) = k1_binop_1(u2_lattices(c13),D,E). [resolve(133,a,131,h)].
% 0.42/1.08 134 l1_lattices(c1) # label(existence_l1_lattices) # label(axiom). [clausify(36)].
% 0.42/1.08 135 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(27)].
% 0.42/1.08 Derived: l1_struct_0(c1). [resolve(134,a,135,a)].
% 0.42/1.08 136 l1_lattices(c4). [resolve(92,a,102,a)].
% 0.42/1.08 137 l1_lattices(c13). [resolve(111,a,102,a)].
% 0.42/1.08 138 m2_relset_1(f4(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(42)].
% 0.42/1.08 139 -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(33)].
% 0.42/1.08 Derived: m1_subset_1(f4(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(138,a,139,a)].
% 0.42/1.08 140 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(66)].
% 0.42/1.08 Derived: m1_relset_1(f4(A,B),A,B). [resolve(140,a,138,a)].
% 0.42/1.08 141 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(66)].
% 0.42/1.08 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(141,a,139,a)].
% 0.42/1.08 142 m2_relset_1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(112,a,119,a)].
% 0.42/1.08 Derived: m1_subset_1(u2_lattices(c3),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)))). [resolve(142,a,139,a)].
% 0.42/1.08 Derived: m1_relset_1(u2_lattices(c3),k2_zfmisc_1(u1_struct_0(c3),u1_struct_0(c3)),u1_struct_0(c3)). [resolve(142,a,140,a)].
% 0.42/1.08 143 m2_relset_1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(132,a,119,a)].
% 0.78/1.13 Derived: m1_subset_1(u2_lattices(c4),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)))). [resolve(143,a,139,a)].
% 0.78/1.13 Derived: m1_relset_1(u2_lattices(c4),k2_zfmisc_1(u1_struct_0(c4),u1_struct_0(c4)),u1_struct_0(c4)). [resolve(143,a,140,a)].
% 0.78/1.13 144 m2_relset_1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(133,a,119,a)].
% 0.78/1.13 Derived: m1_subset_1(u2_lattices(c13),k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)))). [resolve(144,a,139,a)].
% 0.78/1.13 Derived: m1_relset_1(u2_lattices(c13),k2_zfmisc_1(u1_struct_0(c13),u1_struct_0(c13)),u1_struct_0(c13)). [resolve(144,a,140,a)].
% 0.78/1.13 145 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(43)].
% 0.78/1.13 146 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(37)].
% 0.78/1.13 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(145,b,146,a)].
% 0.78/1.13 147 l1_struct_0(c12) # label(rc3_struct_0) # label(axiom). [clausify(62)].
% 0.78/1.13 Derived: v3_struct_0(c12) | -v1_xboole_0(u1_struct_0(c12)). [resolve(147,a,145,b)].
% 0.78/1.13 148 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(63)].
% 0.78/1.13 Derived: v3_struct_0(c2) | m1_subset_1(f9(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(148,b,146,a)].
% 0.78/1.13 Derived: v3_struct_0(c12) | m1_subset_1(f9(c12),k1_zfmisc_1(u1_struct_0(c12))). [resolve(148,b,147,a)].
% 0.78/1.13 149 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f9(A)) # label(rc5_struct_0) # label(axiom). [clausify(63)].
% 0.78/1.13 Derived: v3_struct_0(c2) | -v1_xboole_0(f9(c2)). [resolve(149,b,146,a)].
% 0.78/1.13 Derived: v3_struct_0(c12) | -v1_xboole_0(f9(c12)). [resolve(149,b,147,a)].
% 0.78/1.13 150 l1_struct_0(c3). [resolve(112,a,117,a)].
% 0.78/1.13 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(150,a,145,b)].
% 0.78/1.13 Derived: v3_struct_0(c3) | m1_subset_1(f9(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(150,a,148,b)].
% 0.78/1.13 Derived: v3_struct_0(c3) | -v1_xboole_0(f9(c3)). [resolve(150,a,149,b)].
% 0.78/1.13 151 l1_struct_0(c4). [resolve(132,a,117,a)].
% 0.78/1.13 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(151,a,145,b)].
% 0.78/1.13 Derived: v3_struct_0(c4) | m1_subset_1(f9(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(151,a,148,b)].
% 0.78/1.13 Derived: v3_struct_0(c4) | -v1_xboole_0(f9(c4)). [resolve(151,a,149,b)].
% 0.78/1.13 152 l1_struct_0(c13). [resolve(133,a,117,a)].
% 0.78/1.13 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(152,a,145,b)].
% 0.78/1.13 Derived: v3_struct_0(c13) | m1_subset_1(f9(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(152,a,148,b)].
% 0.78/1.13 Derived: v3_struct_0(c13) | -v1_xboole_0(f9(c13)). [resolve(152,a,149,b)].
% 0.78/1.13 153 l1_struct_0(c1). [resolve(134,a,135,a)].
% 0.78/1.13 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(153,a,145,b)].
% 0.78/1.13 Derived: v3_struct_0(c1) | m1_subset_1(f9(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(153,a,148,b)].
% 0.78/1.13 Derived: v3_struct_0(c1) | -v1_xboole_0(f9(c1)). [resolve(153,a,149,b)].
% 0.78/1.13 154 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(74)].
% 0.78/1.13 155 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(69)].
% 0.78/1.13 156 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(74)].
% 0.78/1.13 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(154,b,155,a)].
% 0.78/1.13
% 0.78/1.13 ============================== end predicate elimination =============
% 0.78/1.13
% 0.78/1.13 Auto_denials: (non-Horn, no changes).
% 0.78/1.13
% 0.78/1.13 Term ordering decisions:
% 0.78/1.13 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. k2_zfmisc_1=1. k4_tarski=1. k1_funct_1=1. k2_tarski=1. f2=1. f4=1. f10=1. u1_struct_0=1. k1_zfmisc_1=1. u2_lattices=1. k1_tarski=1. f3=1. f7=1. f8=1. f9=1. k3_lattices=1. a_3_0_filter_2=1. k1_binop_1=1. k1_lattices=1. k20_filter_2=1. f1=1. f5=1. f6=1. k2_binop_1=1.
% 0.78/1.13
% 0.78/1.13 ============================== end of process initial clauses ========
% 0.78/1.13
% 0.78/1.13 ============================== CLAUSES FOR SEARCH ====================
% 0.78/1.13
% 0.78/1.13 ============================== end of clauses for search =============Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------