TSTP Solution File: LAT312+1 by Prover9---1109a
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT312+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:27:20 EDT 2022
% Result : Theorem 3.02s 3.31s
% Output : Refutation 3.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT312+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.31 % Computer : n012.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Wed Jun 29 10:24:18 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.39/0.97 ============================== Prover9 ===============================
% 0.39/0.97 Prover9 (32) version 2009-11A, November 2009.
% 0.39/0.97 Process 17318 was started by sandbox on n012.cluster.edu,
% 0.39/0.97 Wed Jun 29 10:24:19 2022
% 0.39/0.97 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_17165_n012.cluster.edu".
% 0.39/0.97 ============================== end of head ===========================
% 0.39/0.97
% 0.39/0.97 ============================== INPUT =================================
% 0.39/0.97
% 0.39/0.97 % Reading from file /tmp/Prover9_17165_n012.cluster.edu
% 0.39/0.97
% 0.39/0.97 set(prolog_style_variables).
% 0.39/0.97 set(auto2).
% 0.39/0.97 % set(auto2) -> set(auto).
% 0.39/0.97 % set(auto) -> set(auto_inference).
% 0.39/0.97 % set(auto) -> set(auto_setup).
% 0.39/0.97 % set(auto_setup) -> set(predicate_elim).
% 0.39/0.97 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.39/0.97 % set(auto) -> set(auto_limits).
% 0.39/0.97 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.39/0.97 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.39/0.97 % set(auto) -> set(auto_denials).
% 0.39/0.97 % set(auto) -> set(auto_process).
% 0.39/0.97 % set(auto2) -> assign(new_constants, 1).
% 0.39/0.97 % set(auto2) -> assign(fold_denial_max, 3).
% 0.39/0.97 % set(auto2) -> assign(max_weight, "200.000").
% 0.39/0.97 % set(auto2) -> assign(max_hours, 1).
% 0.39/0.97 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.39/0.97 % set(auto2) -> assign(max_seconds, 0).
% 0.39/0.97 % set(auto2) -> assign(max_minutes, 5).
% 0.39/0.97 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.39/0.97 % set(auto2) -> set(sort_initial_sos).
% 0.39/0.97 % set(auto2) -> assign(sos_limit, -1).
% 0.39/0.97 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.39/0.97 % set(auto2) -> assign(max_megs, 400).
% 0.39/0.97 % set(auto2) -> assign(stats, some).
% 0.39/0.97 % set(auto2) -> clear(echo_input).
% 0.39/0.97 % set(auto2) -> set(quiet).
% 0.39/0.97 % set(auto2) -> clear(print_initial_clauses).
% 0.39/0.97 % set(auto2) -> clear(print_given).
% 0.39/0.97 assign(lrs_ticks,-1).
% 0.39/0.97 assign(sos_limit,10000).
% 0.39/0.97 assign(order,kbo).
% 0.39/0.97 set(lex_order_vars).
% 0.39/0.97 clear(print_given).
% 0.39/0.97
% 0.39/0.97 % formulas(sos). % not echoed (112 formulas)
% 0.39/0.97
% 0.39/0.97 ============================== end of input ==========================
% 0.39/0.97
% 0.39/0.97 % From the command line: assign(max_seconds, 300).
% 0.39/0.97
% 0.39/0.97 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.39/0.97
% 0.39/0.97 % Formulas that are not ordinary clauses:
% 0.39/0.97 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].
% 0.39/0.97 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 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].
% 0.39/0.97 5 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 6 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 7 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 8 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 9 (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].
% 0.39/0.97 10 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_0(A,B) = a_2_0_filter_0(A,B))))) # label(d3_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 11 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 13 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k8_filter_2(A,B) = B)))) # label(d7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 14 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 15 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 16 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 17 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 18 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 19 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 20 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 21 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 22 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 23 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_2(k2_filter_2(A,B),A))) # label(dt_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 24 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 25 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_filter_0(k3_filter_0(A,B),A))) # label(dt_k3_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 26 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_filter_2(k3_filter_2(A,B),A))) # label(dt_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 27 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 28 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 29 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 30 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> m1_subset_1(k8_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))))) # label(dt_k8_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 31 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 32 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 33 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 34 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 35 (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].
% 0.39/0.97 36 (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].
% 0.39/0.97 37 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 38 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 39 (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].
% 0.39/0.97 40 (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].
% 0.39/0.97 41 (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].
% 0.39/0.97 42 (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].
% 0.39/0.97 43 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 44 (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].
% 0.39/0.97 45 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 46 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 47 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 48 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 49 (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].
% 0.39/0.97 50 (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].
% 0.39/0.97 51 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 52 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 53 (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].
% 0.39/0.97 54 (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].
% 0.39/0.97 55 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 56 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> -v1_xboole_0(k7_filter_2(A,B)))) # label(fc1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 57 (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].
% 0.39/0.97 58 (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].
% 0.39/0.97 59 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 60 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> -v1_xboole_0(k8_filter_2(A,B)))) # label(fc2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 61 (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].
% 0.39/0.97 62 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 63 (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].
% 0.39/0.97 64 (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].
% 0.39/0.97 65 (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].
% 0.39/0.97 66 (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].
% 0.39/0.97 67 (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].
% 0.39/0.97 68 (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].
% 0.39/0.97 69 (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].
% 0.39/0.97 70 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_0(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D)))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 71 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_2(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C)))))) # label(fraenkel_a_2_0_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 72 (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].
% 0.39/0.97 73 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 74 (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].
% 0.39/0.97 75 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 76 (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].
% 0.39/0.97 77 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 78 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 79 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 80 (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].
% 0.39/0.97 81 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 82 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 83 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 84 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 85 (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].
% 0.39/0.97 86 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 87 (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].
% 0.39/0.97 88 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 89 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_filter_2(A,B) = k3_filter_0(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 90 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k6_domain_1(A,B) = k1_tarski(B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 91 (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].
% 0.39/0.97 92 (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].
% 0.39/0.97 93 (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].
% 0.39/0.97 94 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 95 (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].
% 0.39/0.97 96 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 97 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 98 (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].
% 0.39/0.97 99 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 100 (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].
% 0.39/0.97 101 (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].
% 0.39/0.97 102 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = k6_domain_1(u1_struct_0(A),B) -> k3_filter_0(A,C) = k2_filter_0(A,B)))))))) # label(t30_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 103 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 104 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) & k3_filter_2(A,B) = k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) & k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C) & k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)))))))) # label(t37_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 105 (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].
% 0.39/0.97 106 (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].
% 0.39/0.97 107 (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].
% 0.39/0.97 108 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 109 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 110 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.39/0.97 111 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,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),C,k6_domain_1(u1_struct_0(A),B)) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,C),k18_filter_2(A,B))))))))) # label(t41_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.39/0.97
% 0.39/0.97 ============================== end of process non-clausal formulas ===
% 0.39/0.97
% 0.39/0.97 ============================== PROCESS INITIAL CLAUSES ===============
% 0.39/0.97
% 0.39/0.97 ============================== PREDICATE ELIMINATION =================
% 0.39/0.97 112 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_lattices(g3_lattices(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(15)].
% 0.39/0.97 113 -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)].
% 0.39/0.98 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(112,g,113,b)].
% 0.39/0.98 114 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(18)].
% 0.39/0.98 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(114,b,113,b)].
% 0.39/0.98 115 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(57)].
% 0.39/0.98 116 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(64)].
% 0.39/0.98 117 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(69)].
% 0.39/0.98 118 v3_lattices(c12) # label(rc3_lattices) # label(axiom). [clausify(83)].
% 0.39/0.98 Derived: -l3_lattices(c12) | g3_lattices(u1_struct_0(c12),u2_lattices(c12),u1_lattices(c12)) = c12. [resolve(118,a,113,b)].
% 0.39/0.98 119 v3_lattices(c14) # label(rc6_lattices) # label(axiom). [clausify(86)].
% 0.39/0.98 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(119,a,113,b)].
% 0.39/0.98 120 v3_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(87)].
% 0.39/0.98 Derived: -l3_lattices(c15) | g3_lattices(u1_struct_0(c15),u2_lattices(c15),u1_lattices(c15)) = c15. [resolve(120,a,113,b)].
% 0.39/0.98 121 -l3_lattices(A) | v3_struct_0(A) | -v4_lattices(A) | -v5_lattices(A) | -v6_lattices(A) | -v7_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | v10_lattices(A) # label(cc2_lattices) # label(axiom). [clausify(8)].
% 0.39/0.98 122 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.39/0.98 123 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(61)].
% 0.39/0.98 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(123,b,122,d)].
% 0.39/0.98 124 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(61)].
% 0.39/0.98 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(124,b,122,d)].
% 0.39/0.98 125 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(61)].
% 0.39/0.98 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(125,b,122,d)].
% 0.39/0.98 126 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(61)].
% 0.39/0.98 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(126,b,122,d)].
% 0.39/0.98 127 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(61)].
% 0.39/0.98 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(127,b,122,d)].
% 0.39/0.98 128 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(69)].
% 0.39/0.99 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(128,d,123,b)].
% 0.39/0.99 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(128,d,124,b)].
% 0.39/0.99 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(128,d,125,b)].
% 0.39/0.99 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(128,d,126,b)].
% 0.39/0.99 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(128,d,127,b)].
% 0.39/0.99 129 v4_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(87)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_relat_1(u2_lattices(c15)). [resolve(129,a,123,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_funct_1(u2_lattices(c15)). [resolve(129,a,124,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_funct_2(u2_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(129,a,125,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_binop_1(u2_lattices(c15),u1_struct_0(c15)). [resolve(129,a,126,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v1_partfun1(u2_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(129,a,127,b)].
% 0.39/0.99 130 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(63)].
% 0.39/0.99 131 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.39/0.99 132 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(63)].
% 0.39/0.99 133 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(63)].
% 0.39/0.99 134 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(63)].
% 0.39/0.99 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(134,b,131,d)].
% 0.39/0.99 135 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(63)].
% 0.39/0.99 136 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(69)].
% 0.39/0.99 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(136,d,134,b)].
% 0.39/0.99 137 v5_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(87)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l2_lattices(c15) | v2_binop_1(u2_lattices(c15),u1_struct_0(c15)). [resolve(137,a,134,b)].
% 0.39/0.99 138 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(66)].
% 0.39/0.99 139 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.39/0.99 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(138,b,139,d)].
% 0.39/0.99 140 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(66)].
% 0.39/0.99 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(140,b,139,d)].
% 0.39/0.99 141 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(66)].
% 0.39/0.99 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(141,b,139,d)].
% 0.39/0.99 142 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(66)].
% 0.39/0.99 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(142,b,139,d)].
% 0.39/0.99 143 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(66)].
% 0.39/0.99 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(143,b,139,d)].
% 0.39/0.99 144 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(69)].
% 0.39/0.99 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(144,d,138,b)].
% 0.39/0.99 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(144,d,140,b)].
% 0.39/0.99 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(144,d,141,b)].
% 0.39/0.99 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(144,d,142,b)].
% 0.39/0.99 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(144,d,143,b)].
% 0.39/0.99 145 v6_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(87)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_relat_1(u1_lattices(c15)). [resolve(145,a,138,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_funct_1(u1_lattices(c15)). [resolve(145,a,140,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_funct_2(u1_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(145,a,141,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_binop_1(u1_lattices(c15),u1_struct_0(c15)). [resolve(145,a,142,b)].
% 0.39/0.99 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v1_partfun1(u1_lattices(c15),k2_zfmisc_1(u1_struct_0(c15),u1_struct_0(c15)),u1_struct_0(c15)). [resolve(145,a,143,b)].
% 0.39/0.99 146 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(94)].
% 0.39/0.99 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(146,b,139,d)].
% 0.39/0.99 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | -r3_lattices(k1_lattice2(A),B,C) | r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(146,b,144,d)].
% 0.39/1.00 Derived: v3_struct_0(c15) | -v8_lattices(c15) | -v9_lattices(c15) | -l3_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | -r3_lattices(c15,A,B) | r1_lattices(c15,A,B). [resolve(146,b,145,a)].
% 0.39/1.00 147 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(94)].
% 0.39/1.00 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(147,b,139,d)].
% 0.39/1.00 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,C) | -r1_lattices(k1_lattice2(A),B,C) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(147,b,144,d)].
% 0.39/1.00 Derived: v3_struct_0(c15) | -v8_lattices(c15) | -v9_lattices(c15) | -l3_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | r3_lattices(c15,A,B) | -r1_lattices(c15,A,B). [resolve(147,b,145,a)].
% 0.39/1.00 148 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(97)].
% 0.39/1.00 Derived: v3_struct_0(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(148,b,139,d)].
% 0.39/1.00 Derived: v3_struct_0(k1_lattice2(A)) | -v8_lattices(k1_lattice2(A)) | -v9_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) | -m1_subset_1(B,u1_struct_0(k1_lattice2(A))) | -m1_subset_1(C,u1_struct_0(k1_lattice2(A))) | r3_lattices(k1_lattice2(A),B,B) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(148,b,144,d)].
% 0.39/1.00 Derived: v3_struct_0(c15) | -v8_lattices(c15) | -v9_lattices(c15) | -l3_lattices(c15) | -m1_subset_1(A,u1_struct_0(c15)) | -m1_subset_1(B,u1_struct_0(c15)) | r3_lattices(c15,A,A). [resolve(148,b,145,a)].
% 0.39/1.00 149 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(68)].
% 0.39/1.00 150 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.39/1.00 151 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(68)].
% 0.39/1.00 152 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(68)].
% 0.39/1.00 153 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(68)].
% 0.39/1.00 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(153,b,150,d)].
% 0.39/1.00 154 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(68)].
% 0.39/1.00 155 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(69)].
% 0.39/1.00 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(155,d,153,b)].
% 0.69/1.01 156 v7_lattices(c15) # label(rc9_lattices) # label(axiom). [clausify(87)].
% 0.69/1.01 Derived: v3_struct_0(c15) | -l1_lattices(c15) | v2_binop_1(u1_lattices(c15),u1_struct_0(c15)). [resolve(156,a,153,b)].
% 0.69/1.01 157 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(7)].
% 0.69/1.01 158 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(6)].
% 0.69/1.01 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(157,a,158,b)].
% 0.69/1.01 159 v1_relat_1(c5) # label(rc1_funct_1) # label(axiom). [clausify(73)].
% 0.69/1.01 Derived: -v1_xboole_0(c5) | -v1_funct_1(c5) | v2_funct_1(c5). [resolve(159,a,157,a)].
% 0.69/1.01 160 v1_relat_1(c8) # label(rc2_funct_1) # label(axiom). [clausify(78)].
% 0.69/1.01 Derived: -v1_xboole_0(c8) | -v1_funct_1(c8) | v2_funct_1(c8). [resolve(160,a,157,a)].
% 0.69/1.01 161 v1_relat_1(c11) # label(rc3_funct_1) # label(axiom). [clausify(82)].
% 0.69/1.01 162 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(123,b,122,d)].
% 0.69/1.01 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(162,c,157,a)].
% 0.69/1.01 163 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(128,d,123,b)].
% 0.69/1.01 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(163,f,157,a)].
% 0.69/1.01 164 v3_struct_0(c15) | -l2_lattices(c15) | v1_relat_1(u2_lattices(c15)). [resolve(129,a,123,b)].
% 0.69/1.01 Derived: v3_struct_0(c15) | -l2_lattices(c15) | -v1_xboole_0(u2_lattices(c15)) | -v1_funct_1(u2_lattices(c15)) | v2_funct_1(u2_lattices(c15)). [resolve(164,c,157,a)].
% 0.69/1.01 165 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(138,b,139,d)].
% 0.69/1.01 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(165,c,157,a)].
% 0.69/1.01 166 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(144,d,138,b)].
% 0.69/1.01 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(166,f,157,a)].
% 0.69/1.01 167 v3_struct_0(c15) | -l1_lattices(c15) | v1_relat_1(u1_lattices(c15)). [resolve(145,a,138,b)].
% 0.69/1.01 Derived: v3_struct_0(c15) | -l1_lattices(c15) | -v1_xboole_0(u1_lattices(c15)) | -v1_funct_1(u1_lattices(c15)) | v2_funct_1(u1_lattices(c15)). [resolve(167,c,157,a)].
% 0.69/1.01 168 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m2_filter_2) # label(axiom). [clausify(39)].
% 0.69/1.01 169 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m2_filter_2(k18_filter_2(A,B),A) # label(dt_k18_filter_2) # label(axiom). [clausify(16)].
% 0.69/1.01 170 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_filter_2(k19_filter_2(A,B),A) # label(dt_k19_filter_2) # label(axiom). [clausify(17)].
% 0.69/1.01 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k18_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(168,d,169,e)].
% 0.69/1.01 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k19_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(168,d,170,f)].
% 0.69/1.02 171 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(39)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k18_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(171,d,169,e)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k19_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(171,d,170,f)].
% 0.69/1.02 172 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(f5(A),A) # label(existence_m2_filter_2) # label(axiom). [clausify(53)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f5(A)). [resolve(172,d,168,d)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f5(A),A). [resolve(172,d,171,d)].
% 0.69/1.02 173 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(35)].
% 0.69/1.02 174 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_0(k2_filter_0(A,B),A) # label(dt_k2_filter_0) # label(axiom). [clausify(22)].
% 0.69/1.02 175 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_filter_0(k3_filter_0(A,B),A) # label(dt_k3_filter_0) # label(axiom). [clausify(25)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_0(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(173,d,174,e)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k3_filter_0(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(173,d,175,f)].
% 0.69/1.02 176 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(35)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(176,d,174,e)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k3_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(176,d,175,f)].
% 0.69/1.02 177 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f1(A),A) # label(existence_m1_filter_0) # label(axiom). [clausify(49)].
% 0.69/1.02 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(177,d,173,d)].
% 0.69/1.02 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(177,d,176,d)].
% 0.69/1.02 178 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(91)].
% 0.69/1.02 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(178,e,173,d)].
% 0.69/1.02 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(178,e,176,d)].
% 0.69/1.02 179 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(91)].
% 0.69/1.02 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k2_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(179,e,174,e)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k3_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(179,e,175,f)].
% 0.69/1.03 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(179,e,177,d)].
% 0.69/1.03 180 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_2) # label(axiom). [clausify(36)].
% 0.69/1.03 181 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_2(k2_filter_2(A,B),A) # label(dt_k2_filter_2) # label(axiom). [clausify(23)].
% 0.69/1.03 182 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_filter_2(k3_filter_2(A,B),A) # label(dt_k3_filter_2) # label(axiom). [clausify(26)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(180,d,181,e)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k3_filter_2(A,B)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(180,d,182,f)].
% 0.69/1.03 183 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(36)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(183,d,181,e)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(183,d,182,f)].
% 0.69/1.03 184 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f2(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(50)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f2(A)). [resolve(184,d,180,d)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f2(A),A). [resolve(184,d,183,d)].
% 0.69/1.03 185 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(178,e,173,d)].
% 0.69/1.03 186 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(178,e,176,d)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(186,d,181,e)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k3_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(186,d,182,f)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f2(A),k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A). [resolve(186,d,184,d)].
% 0.69/1.03 187 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k2_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(179,e,174,e)].
% 0.69/1.03 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k2_filter_0(A,B)). [resolve(187,d,180,d)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_0(A,B),A). [resolve(187,d,183,d)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k2_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(187,d,186,d)].
% 0.96/1.30 188 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k3_filter_0(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(179,e,175,f)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k3_filter_0(A,B)). [resolve(188,d,180,d)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_0(A,B),A). [resolve(188,d,183,d)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k3_filter_0(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(188,d,186,d)].
% 0.96/1.30 189 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(179,e,177,d)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f1(A)). [resolve(189,d,180,d)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f1(A),A). [resolve(189,d,183,d)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f1(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(189,d,186,d)].
% 0.96/1.30 190 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(58)].
% 0.96/1.30 191 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(31)].
% 0.96/1.30 192 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(33)].
% 0.96/1.30 193 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(46)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(190,b,191,b)].
% 0.96/1.30 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(190,b,192,b)].
% 0.96/1.30 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(190,b,193,a)].
% 0.96/1.30 194 l1_struct_0(c13) # label(rc3_struct_0) # label(axiom). [clausify(84)].
% 0.96/1.30 Derived: v3_struct_0(c13) | -v1_xboole_0(u1_struct_0(c13)). [resolve(194,a,190,b)].
% 0.96/1.30 195 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(85)].
% 0.96/1.30 Derived: v3_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(195,b,191,b)].
% 0.96/1.30 Derived: v3_struct_0(A) | m1_subset_1(f13(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(195,b,192,b)].
% 0.96/1.30 Derived: v3_struct_0(c2) | m1_subset_1(f13(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(195,b,193,a)].
% 1.26/1.58 Derived: v3_struct_0(c13) | m1_subset_1(f13(c13),k1_zfmisc_1(u1_struct_0(c13))). [resolve(195,b,194,a)].
% 1.26/1.58 196 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f13(A)) # label(rc5_struct_0) # label(axiom). [clausify(85)].
% 1.26/1.58 Derived: v3_struct_0(A) | -v1_xboole_0(f13(A)) | -l1_lattices(A). [resolve(196,b,191,b)].
% 1.26/1.58 Derived: v3_struct_0(A) | -v1_xboole_0(f13(A)) | -l2_lattices(A). [resolve(196,b,192,b)].
% 1.26/1.58 Derived: v3_struct_0(c2) | -v1_xboole_0(f13(c2)). [resolve(196,b,193,a)].
% 1.26/1.58 Derived: v3_struct_0(c13) | -v1_xboole_0(f13(c13)). [resolve(196,b,194,a)].
% 1.26/1.58 197 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(54)].
% 1.26/1.58 198 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(40)].
% 1.26/1.58 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(197,d,198,d)].
% 1.26/1.58 199 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f10(A),A) # label(rc1_lattice4) # label(axiom). [clausify(74)].
% 1.26/1.58 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(199,d,198,d)].
% 1.26/1.58 200 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k18_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(171,d,169,e)].
% 1.26/1.58 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k18_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(200,d,198,d)].
% 1.26/1.58 201 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k19_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(171,d,170,f)].
% 1.26/1.58 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k19_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(201,d,198,d)].
% 1.26/1.58 202 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f5(A),A). [resolve(172,d,171,d)].
% 1.26/1.58 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f5(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(202,g,198,d)].
% 1.26/1.58 203 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)). [resolve(183,d,181,e)].
% 1.26/1.58 204 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(183,d,182,f)].
% 1.26/1.58 205 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f2(A),A). [resolve(184,d,183,d)].
% 1.26/1.58 206 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k2_filter_0(A,B),A). [resolve(187,d,183,d)].
% 1.26/1.58 207 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k3_filter_0(A,B),A). [resolve(188,d,183,d)].
% 1.26/1.58 208 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f1(A),A). [resolve(189,d,183,d)].
% 3.02/3.31 209 -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(42)].
% 3.02/3.31 210 -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(41)].
% 3.02/3.31 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(209,b,210,a)].
% 3.02/3.31 211 -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(44)].
% 3.02/3.31 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(211,b,210,a)].
% 3.02/3.31 212 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(55)].
% 3.02/3.31 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(212,a,210,a)].
% 3.02/3.31 213 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(92)].
% 3.02/3.31 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(213,a,209,b)].
% 3.02/3.31 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(213,a,211,b)].
% 3.02/3.31 Derived: m1_relset_1(f7(A,B),A,B). [resolve(213,a,212,a)].
% 3.02/3.31 214 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(92)].
% 3.02/3.31 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(214,a,210,a)].
% 3.02/3.31 215 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(105)].
% 3.02/3.31 216 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(96)].
% 3.02/3.31 217 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(105)].
% 3.02/3.31 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(215,b,216,a)].
% 3.02/3.31
% 3.02/3.31 ============================== end predicate elimination =============
% 3.02/3.31
% 3.02/3.31 Auto_denials: (non-Horn, no changes).
% 3.02/3.31
% 3.02/3.31 Term ordering decisions:
% 3.02/3.31 Function symbol KB weights: k1_xboole_0=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. c9=1. c10=1. c11=1. c12=1. c13=1. c14=1. c15=1. c16=1. c17=1. c18=1. k2_zfmisc_1=1. k2_filter_0=1. k3_filter_2=1. k19_filter_2=1. k3_filter_0=1. a_2_0_filter_0=1. a_2_0_filter_2=1. k18_filter_2=1. k2_filter_2=1. k7_filter_2=1. k8_filter_2=1. k5_filter_2=1. k6_domain_1=1. f3=1. f7=1. f14=1. u1_struct_0=1. k1_lattice2=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. k1_tarski=1. f1=1. f2=1. f4=1. f5=1. f6=1. f10=1. f11=1. f12=1. f13=1. g3_lattices=1. f8=1. f9=1.
% 3.02/3.31
% 3.02/3.31 ============================== end of process initial clauses ========
% 3.02/3.31
% 3.02/3.31 ============================== CLAUSES FOR SEARCH ====================
% 3.02/3.31
% 3.02/3.31 ============================== end of clauses for search =============
% 3.02/3.31
% 3.02/3.31 ============================== SEARCH ================================
% 3.02/3.31
% 3.02/3.31 % Starting search at 0.65 seconds.
% 3.02/3.31
% 3.02/3.31 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 37 (0.00 of 0.76 sec).
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=31.000, iters=3764
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=28.000, iters=3648
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=27.000, iters=3585
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=25.000, iters=3388
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=24.000, iters=3359
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=23.000, iters=3335
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=21.000, iters=3601
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=20.000, iters=3335
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=19.000, iters=3358
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=18.000, iters=3865
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=17.000, iters=3559
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=16.000, iters=3345
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=15.000, iters=3368
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=14.000, iters=3334
% 3.02/3.31
% 3.02/3.31 Low Water (keep): wt=13.000, iters=3336
% 3.02/3.31
% 3.02/3.31 ============================== PROOF =================================
% 3.02/3.31 % SZS status Theorem
% 3.02/3.31 % SZS output start Refutation
% 3.02/3.31
% 3.02/3.31 % Proof 1 at 2.33 (+ 0.03) seconds.
% 3.02/3.31 % Length of proof is 99.
% 3.02/3.31 % Level of proof is 10.
% 3.02/3.31 % Maximum clause weight is 31.000.
% 3.02/3.31 % Given clauses 3262.
% 3.02/3.31
% 3.02/3.31 11 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k5_filter_2(A,B) = B)))) # label(d4_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 12 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k7_filter_2(A,B) = B)))) # label(d6_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 14 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 17 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m2_filter_2(k19_filter_2(A,B),A))) # label(dt_k19_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 18 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 27 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))))) # label(dt_k5_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 28 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)))) # label(dt_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 29 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))))) # label(dt_k7_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 33 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 34 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 39 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 40 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 57 (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].
% 3.02/3.31 58 (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].
% 3.02/3.31 69 (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].
% 3.02/3.31 88 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 89 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> k3_filter_2(A,B) = k3_filter_0(A,B))) # label(redefinition_k3_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 90 (all A all B (-v1_xboole_0(A) & m1_subset_1(B,A) -> k6_domain_1(A,B) = k1_tarski(B))) # label(redefinition_k6_domain_1) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 93 (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].
% 3.02/3.31 102 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) -> (C = k6_domain_1(u1_struct_0(A),B) -> k3_filter_0(A,C) = k2_filter_0(A,B)))))))) # label(t30_filter_0) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 103 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) & k18_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k2_filter_2(A,B))))) # label(t30_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 104 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (-v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) -> (all C (-v1_xboole_0(C) & m1_subset_1(C,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) -> k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) & k3_filter_2(A,B) = k19_filter_2(k1_lattice2(A),k7_filter_2(A,B)) & k3_filter_2(A,k8_filter_2(A,C)) = k19_filter_2(k1_lattice2(A),C) & k3_filter_2(k1_lattice2(A),C) = k19_filter_2(A,k8_filter_2(A,C)))))))) # label(t37_filter_2) # label(axiom) # label(non_clause). [assumption].
% 3.02/3.31 111 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,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),C,k6_domain_1(u1_struct_0(A),B)) -> r1_filter_2(u1_struct_0(A),k19_filter_2(A,C),k18_filter_2(A,B))))))))) # label(t41_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 3.02/3.31 170 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m2_filter_2(k19_filter_2(A,B),A) # label(dt_k19_filter_2) # label(axiom). [clausify(17)].
% 3.02/3.31 171 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(39)].
% 3.02/3.31 190 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(58)].
% 3.02/3.31 192 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(33)].
% 3.02/3.31 198 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(40)].
% 3.02/3.31 201 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(k19_filter_2(A,B),A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))). [resolve(171,d,170,f)].
% 3.02/3.31 226 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k5_filter_2(A,B) = B # label(d4_filter_2) # label(axiom). [clausify(11)].
% 3.02/3.31 227 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k7_filter_2(A,B) = B # label(d6_filter_2) # label(axiom). [clausify(12)].
% 3.02/3.31 229 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | a_2_0_filter_2(A,B) = k18_filter_2(A,B) # label(d9_filter_2) # label(axiom). [clausify(14)].
% 3.02/3.31 230 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k18_filter_2(A,B) = a_2_0_filter_2(A,B). [copy(229),flip(e)].
% 3.02/3.31 232 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(18)].
% 3.02/3.31 233 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_subset_1(k5_filter_2(A,B),u1_struct_0(k1_lattice2(A))) # label(dt_k5_filter_2) # label(axiom). [clausify(27)].
% 3.02/3.31 234 v1_xboole_0(A) | -m1_subset_1(B,A) | m1_subset_1(k6_domain_1(A,B),k1_zfmisc_1(A)) # label(dt_k6_domain_1) # label(axiom). [clausify(28)].
% 3.02/3.31 235 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_subset_1(k7_filter_2(A,B),k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) # label(dt_k7_filter_2) # label(axiom). [clausify(29)].
% 3.02/3.31 238 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(34)].
% 3.02/3.31 249 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(57)].
% 3.02/3.31 259 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(69)].
% 3.02/3.31 295 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k2_filter_2(A,B) = k2_filter_0(A,B) # label(redefinition_k2_filter_2) # label(axiom). [clausify(88)].
% 3.02/3.31 296 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k3_filter_2(A,B) = k3_filter_0(A,B) # label(redefinition_k3_filter_2) # label(axiom). [clausify(89)].
% 3.02/3.31 297 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | k3_filter_0(A,B) = k3_filter_2(A,B). [copy(296),flip(f)].
% 3.02/3.31 298 v1_xboole_0(A) | -m1_subset_1(B,A) | k1_tarski(B) = k6_domain_1(A,B) # label(redefinition_k6_domain_1) # label(axiom). [clausify(90)].
% 3.02/3.31 299 v1_xboole_0(A) | -m1_subset_1(B,A) | k6_domain_1(A,B) = k1_tarski(B). [copy(298),flip(c)].
% 3.02/3.31 300 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) | C = B # label(redefinition_r1_filter_2) # label(axiom). [clausify(93)].
% 3.02/3.31 301 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) | C != B # label(redefinition_r1_filter_2) # label(axiom). [clausify(93)].
% 3.02/3.31 308 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | v1_xboole_0(C) | -m1_subset_1(C,k1_zfmisc_1(u1_struct_0(A))) | k6_domain_1(u1_struct_0(A),B) != C | k3_filter_0(A,C) = k2_filter_0(A,B) # label(t30_filter_0) # label(axiom). [clausify(102)].
% 3.02/3.31 309 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k2_filter_2(k1_lattice2(A),k5_filter_2(A,B)) = k18_filter_2(A,B) # label(t30_filter_2) # label(axiom). [clausify(103)].
% 3.02/3.31 312 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(k1_lattice2(A)))) | k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B) # label(t37_filter_2) # label(axiom). [clausify(104)].
% 3.02/3.31 323 -v3_struct_0(c16) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 324 v10_lattices(c16) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 325 l3_lattices(c16) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 326 m1_subset_1(c17,u1_struct_0(c16)) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 327 -v1_xboole_0(c18) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 328 m1_subset_1(c18,k1_zfmisc_1(u1_struct_0(c16))) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 329 r1_filter_2(u1_struct_0(c16),c18,k6_domain_1(u1_struct_0(c16),c17)) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 330 -r1_filter_2(u1_struct_0(c16),k19_filter_2(c16,c18),k18_filter_2(c16,c17)) # label(t41_filter_2) # label(negated_conjecture). [clausify(111)].
% 3.02/3.31 399 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(190,b,192,b)].
% 3.02/3.31 419 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k19_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [resolve(201,d,198,d)].
% 3.02/3.31 420 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | m1_subset_1(k19_filter_2(A,B),k1_zfmisc_1(u1_struct_0(A))). [copy(419),merge(d),merge(e),merge(f),merge(i),merge(j),merge(k)].
% 3.02/3.31 440 v1_xboole_0(A) | -m1_subset_1(B,k1_zfmisc_1(A)) | r1_filter_2(A,B,B). [factor(301,b,c),xx(d)].
% 3.02/3.31 441 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v1_xboole_0(B) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | -m1_subset_1(B,k1_zfmisc_1(u1_struct_0(k1_lattice2(A)))) | k3_filter_2(k1_lattice2(A),k7_filter_2(A,B)) = k19_filter_2(A,B). [factor(312,d,f)].
% 3.02/3.31 623 v10_lattices(k1_lattice2(c16)). [resolve(324,a,259,b),unit_del(a,323),unit_del(b,325)].
% 3.02/3.31 628 -v3_struct_0(k1_lattice2(c16)). [resolve(325,a,249,b),unit_del(a,323)].
% 3.02/3.31 629 l2_lattices(c16). [resolve(325,a,238,a)].
% 3.02/3.31 631 l3_lattices(k1_lattice2(c16)). [resolve(325,a,232,a)].
% 3.02/3.31 634 k2_filter_2(k1_lattice2(c16),k5_filter_2(c16,c17)) = k18_filter_2(c16,c17). [resolve(326,a,309,d),unit_del(a,323),unit_del(b,324),unit_del(c,325)].
% 3.02/3.31 637 v1_xboole_0(u1_struct_0(c16)) | k6_domain_1(u1_struct_0(c16),c17) = k1_tarski(c17). [resolve(326,a,299,b)].
% 3.02/3.31 639 v1_xboole_0(u1_struct_0(c16)) | m1_subset_1(k6_domain_1(u1_struct_0(c16),c17),k1_zfmisc_1(u1_struct_0(c16))). [resolve(326,a,234,b)].
% 3.02/3.31 640 m1_subset_1(k5_filter_2(c16,c17),u1_struct_0(k1_lattice2(c16))). [resolve(326,a,233,d),unit_del(a,323),unit_del(b,324),unit_del(c,325)].
% 3.02/3.31 641 k18_filter_2(c16,c17) = a_2_0_filter_2(c16,c17). [resolve(326,a,230,d),unit_del(a,323),unit_del(b,324),unit_del(c,325)].
% 3.02/3.31 642 k5_filter_2(c16,c17) = c17. [resolve(326,a,226,d),unit_del(a,323),unit_del(b,324),unit_del(c,325)].
% 3.02/3.31 645 k2_filter_2(k1_lattice2(c16),c17) = a_2_0_filter_2(c16,c17). [back_rewrite(634),rewrite([642(5),641(7)])].
% 3.02/3.31 646 -r1_filter_2(u1_struct_0(c16),k19_filter_2(c16,c18),a_2_0_filter_2(c16,c17)). [back_rewrite(330),rewrite([641(8)])].
% 3.02/3.31 647 m1_subset_1(c17,u1_struct_0(k1_lattice2(c16))). [back_rewrite(640),rewrite([642(3)])].
% 3.02/3.31 659 m1_subset_1(k7_filter_2(c16,c18),k1_zfmisc_1(u1_struct_0(k1_lattice2(c16)))). [resolve(328,a,235,d),unit_del(a,323),unit_del(b,324),unit_del(c,325)].
% 3.02/3.31 661 k7_filter_2(c16,c18) = c18. [resolve(328,a,227,d),unit_del(a,323),unit_del(b,324),unit_del(c,325)].
% 3.02/3.31 663 m1_subset_1(c18,k1_zfmisc_1(u1_struct_0(k1_lattice2(c16)))). [back_rewrite(659),rewrite([661(3)])].
% 3.02/3.31 667 v1_xboole_0(u1_struct_0(c16)) | -m1_subset_1(k6_domain_1(u1_struct_0(c16),c17),k1_zfmisc_1(u1_struct_0(c16))) | k6_domain_1(u1_struct_0(c16),c17) = c18. [resolve(329,a,300,d),unit_del(b,328)].
% 3.02/3.31 752 m1_subset_1(k19_filter_2(c16,c18),k1_zfmisc_1(u1_struct_0(c16))). [resolve(420,e,328,a),unit_del(a,323),unit_del(b,324),unit_del(c,325),unit_del(d,327)].
% 3.02/3.31 879 -v1_xboole_0(u1_struct_0(c16)). [resolve(629,a,399,c),unit_del(a,323)].
% 3.02/3.31 883 -m1_subset_1(k6_domain_1(u1_struct_0(c16),c17),k1_zfmisc_1(u1_struct_0(c16))) | k6_domain_1(u1_struct_0(c16),c17) = c18. [back_unit_del(667),unit_del(a,879)].
% 3.02/3.31 887 m1_subset_1(k6_domain_1(u1_struct_0(c16),c17),k1_zfmisc_1(u1_struct_0(c16))). [back_unit_del(639),unit_del(a,879)].
% 3.02/3.31 888 k6_domain_1(u1_struct_0(c16),c17) = k1_tarski(c17). [back_unit_del(637),unit_del(a,879)].
% 3.02/3.31 891 -m1_subset_1(k1_tarski(c17),k1_zfmisc_1(u1_struct_0(c16))) | k1_tarski(c17) = c18. [back_unit_del(883),rewrite([888(4),888(10)])].
% 3.02/3.31 892 m1_subset_1(k1_tarski(c17),k1_zfmisc_1(u1_struct_0(c16))). [back_rewrite(887),rewrite([888(4)])].
% 3.02/3.31 895 k1_tarski(c17) = c18. [back_unit_del(891),unit_del(a,892)].
% 3.02/3.31 946 l2_lattices(k1_lattice2(c16)). [resolve(631,a,238,a)].
% 3.02/3.31 1042 -v1_xboole_0(u1_struct_0(k1_lattice2(c16))). [resolve(946,a,399,c),unit_del(a,628)].
% 3.02/3.31 1221 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k1_lattice2(c16)))) | k6_domain_1(u1_struct_0(k1_lattice2(c16)),c17) != A | k3_filter_0(k1_lattice2(c16),A) = k2_filter_0(k1_lattice2(c16),c17). [resolve(647,a,308,d),unit_del(a,628),unit_del(b,623),unit_del(c,631)].
% 3.02/3.31 1223 k6_domain_1(u1_struct_0(k1_lattice2(c16)),c17) = c18. [resolve(647,a,299,b),rewrite([895(11)]),unit_del(a,1042)].
% 3.02/3.31 1224 k2_filter_0(k1_lattice2(c16),c17) = a_2_0_filter_2(c16,c17). [resolve(647,a,295,d),rewrite([645(13)]),flip(d),unit_del(a,628),unit_del(b,623),unit_del(c,631)].
% 3.02/3.31 1229 v1_xboole_0(A) | -m1_subset_1(A,k1_zfmisc_1(u1_struct_0(k1_lattice2(c16)))) | c18 != A | k3_filter_0(k1_lattice2(c16),A) = a_2_0_filter_2(c16,c17). [back_rewrite(1221),rewrite([1223(11),1224(15)])].
% 3.02/3.31 1388 k3_filter_2(k1_lattice2(c16),c18) = k19_filter_2(c16,c18). [resolve(663,a,441,f),rewrite([661(18)]),unit_del(a,323),unit_del(b,324),unit_del(c,325),unit_del(d,327),unit_del(e,328)].
% 3.02/3.31 1405 k3_filter_0(k1_lattice2(c16),c18) = k19_filter_2(c16,c18). [resolve(663,a,297,e),rewrite([1388(19)]),unit_del(a,628),unit_del(b,623),unit_del(c,631),unit_del(d,327)].
% 3.02/3.31 2454 r1_filter_2(u1_struct_0(c16),k19_filter_2(c16,c18),k19_filter_2(c16,c18)). [resolve(752,a,440,b),unit_del(a,879)].
% 3.02/3.31 14531 a_2_0_filter_2(c16,c17) = k19_filter_2(c16,c18). [resolve(1229,b,663,a),rewrite([1405(9)]),flip(c),xx(b),unit_del(a,327)].
% 3.02/3.31 14594 $F. [back_rewrite(646),rewrite([14531(8)]),unit_del(a,2454)].
% 3.02/3.31
% 3.02/3.31 % SZS output end Refutation
% 3.02/3.31 ============================== end of proof ==========================
% 3.02/3.31
% 3.02/3.31 ============================== STATISTICS ============================
% 3.02/3.31
% 3.02/3.31 Given=3262. Generated=38985. Kept=14323. proofs=1.
% 3.02/3.31 Usable=3151. Sos=8132. Demods=1444. Limbo=63, Disabled=3292. Hints=0.
% 3.02/3.31 Megabytes=17.72.
% 3.02/3.31 User_CPU=2.33, System_CPU=0.03, Wall_clock=2.
% 3.02/3.31
% 3.02/3.31 ============================== end of statistics =====================
% 3.02/3.31
% 3.02/3.31 ============================== end of search =========================
% 3.02/3.31
% 3.02/3.31 THEOREM PROVED
% 3.02/3.31 % SZS status Theorem
% 3.02/3.31
% 3.02/3.31 Exiting with 1 proof.
% 3.02/3.31
% 3.02/3.31 Process 17318 exit (max_proofs) Wed Jun 29 10:24:21 2022
% 3.02/3.31 Prover9 interrupted
%------------------------------------------------------------------------------