TSTP Solution File: LAT302+1 by Prover9---1109a
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%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT302+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n020.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 06:27:10 EDT 2022
% Result : Theorem 0.82s 1.26s
% Output : Refutation 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT302+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 03:58:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.82/1.09 ============================== Prover9 ===============================
% 0.82/1.09 Prover9 (32) version 2009-11A, November 2009.
% 0.82/1.09 Process 25901 was started by sandbox on n020.cluster.edu,
% 0.82/1.09 Wed Jun 29 03:58:31 2022
% 0.82/1.09 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_25748_n020.cluster.edu".
% 0.82/1.09 ============================== end of head ===========================
% 0.82/1.09
% 0.82/1.09 ============================== INPUT =================================
% 0.82/1.09
% 0.82/1.09 % Reading from file /tmp/Prover9_25748_n020.cluster.edu
% 0.82/1.09
% 0.82/1.09 set(prolog_style_variables).
% 0.82/1.09 set(auto2).
% 0.82/1.09 % set(auto2) -> set(auto).
% 0.82/1.09 % set(auto) -> set(auto_inference).
% 0.82/1.09 % set(auto) -> set(auto_setup).
% 0.82/1.09 % set(auto_setup) -> set(predicate_elim).
% 0.82/1.09 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.82/1.09 % set(auto) -> set(auto_limits).
% 0.82/1.09 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.82/1.09 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.82/1.09 % set(auto) -> set(auto_denials).
% 0.82/1.09 % set(auto) -> set(auto_process).
% 0.82/1.09 % set(auto2) -> assign(new_constants, 1).
% 0.82/1.09 % set(auto2) -> assign(fold_denial_max, 3).
% 0.82/1.09 % set(auto2) -> assign(max_weight, "200.000").
% 0.82/1.09 % set(auto2) -> assign(max_hours, 1).
% 0.82/1.09 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.82/1.09 % set(auto2) -> assign(max_seconds, 0).
% 0.82/1.09 % set(auto2) -> assign(max_minutes, 5).
% 0.82/1.09 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.82/1.09 % set(auto2) -> set(sort_initial_sos).
% 0.82/1.09 % set(auto2) -> assign(sos_limit, -1).
% 0.82/1.09 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.82/1.09 % set(auto2) -> assign(max_megs, 400).
% 0.82/1.09 % set(auto2) -> assign(stats, some).
% 0.82/1.09 % set(auto2) -> clear(echo_input).
% 0.82/1.09 % set(auto2) -> set(quiet).
% 0.82/1.09 % set(auto2) -> clear(print_initial_clauses).
% 0.82/1.09 % set(auto2) -> clear(print_given).
% 0.82/1.09 assign(lrs_ticks,-1).
% 0.82/1.09 assign(sos_limit,10000).
% 0.82/1.09 assign(order,kbo).
% 0.82/1.09 set(lex_order_vars).
% 0.82/1.09 clear(print_given).
% 0.82/1.09
% 0.82/1.09 % formulas(sos). % not echoed (92 formulas)
% 0.82/1.09
% 0.82/1.09 ============================== end of input ==========================
% 0.82/1.09
% 0.82/1.09 % From the command line: assign(max_seconds, 300).
% 0.82/1.09
% 0.82/1.09 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.82/1.09
% 0.82/1.09 % Formulas that are not ordinary clauses:
% 0.82/1.09 1 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 4 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 5 (all A (-v1_realset1(A) -> -v1_xboole_0(A))) # label(cc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 6 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 7 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 8 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 9 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v14_lattices(A) -> -v3_struct_0(A) & v15_lattices(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 10 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v15_lattices(A) -> -v3_struct_0(A) & v13_lattices(A) & v14_lattices(A)))) # label(cc4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 11 (all A (l3_lattices(A) -> k1_lattice2(A) = g3_lattices(u1_struct_0(A),u1_lattices(A),u2_lattices(A)))) # label(d2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 12 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> v3_lattices(g3_lattices(A,B,C)) & l3_lattices(g3_lattices(A,B,C)))) # label(dt_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 13 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 14 $T # label(dt_k1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 15 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 16 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 17 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 18 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 19 (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].
% 0.82/1.09 20 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 21 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 22 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 23 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 24 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 25 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 26 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 27 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 28 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 29 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 30 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 31 (all A all B all C (m2_relset_1(C,A,B) -> m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))))) # label(dt_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 32 (all A (l1_lattices(A) -> v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 33 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 34 (all A (l2_lattices(A) -> v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & m2_relset_1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(dt_u2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 35 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 36 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 37 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.09 38 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 39 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 40 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 41 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 42 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 43 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 44 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 45 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 46 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 47 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 48 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 49 (all A (-v3_struct_0(A) & v4_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc2_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 50 (all A -v1_xboole_0(k1_tarski(A))) # label(fc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 51 (all A (-v3_struct_0(A) & v5_lattices(A) & l2_lattices(A) -> v1_relat_1(u2_lattices(A)) & v1_funct_1(u2_lattices(A)) & v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u2_lattices(A),u1_struct_0(A)) & v1_partfun1(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc3_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 52 (all A all B all C (-v1_xboole_0(A) & v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> -v3_struct_0(g3_lattices(A,B,C)) & v3_lattices(g3_lattices(A,B,C)))) # label(fc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 53 (all A (-v1_xboole_0(k1_tarski(A)) & v1_finset_1(k1_tarski(A)) & v1_realset1(k1_tarski(A)))) # label(fc3_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 54 (all A (-v3_struct_0(A) & v6_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v1_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc4_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 55 (all A all B (-v1_xboole_0(A) & -v1_xboole_0(B) -> -v1_xboole_0(k2_zfmisc_1(A,B)))) # label(fc4_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 56 (all A (-v3_struct_0(A) & v7_lattices(A) & l1_lattices(A) -> v1_relat_1(u1_lattices(A)) & v1_funct_1(u1_lattices(A)) & v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) & v2_binop_1(u1_lattices(A),u1_struct_0(A)) & v1_partfun1(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)))) # label(fc5_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 57 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 58 (all A all B all C (v1_funct_1(B) & v1_funct_2(B,k2_zfmisc_1(A,A),A) & m1_relset_1(B,k2_zfmisc_1(A,A),A) & v1_funct_1(C) & v1_funct_2(C,k2_zfmisc_1(A,A),A) & m1_relset_1(C,k2_zfmisc_1(A,A),A) -> (all D all E all F (g3_lattices(A,B,C) = g3_lattices(D,E,F) -> A = D & B = E & C = F)))) # label(free_g3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 59 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A))) # label(rc11_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 60 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 61 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B (m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(rc1_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 62 (exists A (-v1_xboole_0(A) & v1_realset1(A))) # label(rc1_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 63 (all A (-v1_xboole_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(A)) & -v1_xboole_0(B))))) # label(rc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 64 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 65 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 66 (exists A (-v1_xboole_0(A) & -v1_realset1(A))) # label(rc2_realset1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 67 (all A exists B (m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B))) # label(rc2_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 68 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 69 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 70 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 71 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 72 (all A (-v3_struct_0(A) & l1_struct_0(A) -> (exists B (m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) & -v1_xboole_0(B))))) # label(rc5_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 73 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 74 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) & v10_lattices(A))) # label(rc9_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 75 (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].
% 0.82/1.10 76 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) <-> m1_filter_0(B,A))))) # label(redefinition_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 77 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 78 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 79 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A)))) # label(t13_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 80 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 81 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) <-> m1_filter_2(B,k1_lattice2(A)))))) # label(t21_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 82 (all A all B (m1_subset_1(A,B) -> v1_xboole_0(B) | r2_hidden(A,B))) # label(t2_subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 83 (all A all B (m1_subset_1(A,k1_zfmisc_1(B)) <-> r1_tarski(A,B))) # label(t3_subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 84 (all A all B all C (r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) -> m1_subset_1(A,C))) # label(t4_subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 85 (all A all B all C -(r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C))) # label(t5_subset) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 86 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v13_lattices(A) <-> v14_lattices(k1_lattice2(A))))) # label(t63_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 87 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 88 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> k5_lattices(A) = k6_lattices(k1_lattice2(A)))) # label(t78_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 89 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 90 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.10 91 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v13_lattices(A) -> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A)))) # label(t26_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.82/1.10
% 0.82/1.10 ============================== end of process non-clausal formulas ===
% 0.82/1.10
% 0.82/1.10 ============================== PROCESS INITIAL CLAUSES ===============
% 0.82/1.10
% 0.82/1.10 ============================== PREDICATE ELIMINATION =================
% 0.82/1.10 92 -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(12)].
% 0.82/1.10 93 -l3_lattices(A) | -v3_lattices(A) | g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(1)].
% 0.82/1.10 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(92,g,93,b)].
% 0.82/1.10 94 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(13)].
% 0.82/1.10 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(94,b,93,b)].
% 0.82/1.10 95 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(46)].
% 0.82/1.10 96 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(52)].
% 0.82/1.10 97 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(57)].
% 0.82/1.10 98 v3_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(59)].
% 0.82/1.10 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(98,a,93,b)].
% 0.82/1.10 99 v3_lattices(c13) # label(rc3_lattices) # label(axiom). [clausify(70)].
% 0.82/1.10 Derived: -l3_lattices(c13) | g3_lattices(u1_struct_0(c13),u2_lattices(c13),u1_lattices(c13)) = c13. [resolve(99,a,93,b)].
% 0.82/1.10 100 v3_lattices(c15) # label(rc6_lattices) # label(axiom). [clausify(73)].
% 0.82/1.10 Derived: -l3_lattices(c15) | g3_lattices(u1_struct_0(c15),u2_lattices(c15),u1_lattices(c15)) = c15. [resolve(100,a,93,b)].
% 0.82/1.10 101 v3_lattices(c16) # label(rc9_lattices) # label(axiom). [clausify(74)].
% 0.82/1.10 Derived: -l3_lattices(c16) | g3_lattices(u1_struct_0(c16),u2_lattices(c16),u1_lattices(c16)) = c16. [resolve(101,a,93,b)].
% 0.82/1.10 102 -l3_lattices(A) | v3_struct_0(A) | -v4_lattices(A) | -v5_lattices(A) | -v6_lattices(A) | -v7_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | v10_lattices(A) # label(cc2_lattices) # label(axiom). [clausify(8)].
% 0.82/1.10 103 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.10 104 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(49)].
% 0.82/1.10 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(104,b,103,d)].
% 0.82/1.10 105 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(49)].
% 0.82/1.10 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(105,b,103,d)].
% 0.82/1.10 106 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(49)].
% 0.82/1.10 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(106,b,103,d)].
% 0.82/1.10 107 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(49)].
% 0.82/1.10 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_binop_1(u2_lattices(A),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(107,b,103,d)].
% 0.82/1.10 108 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(49)].
% 0.82/1.10 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(108,b,103,d)].
% 0.82/1.10 109 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(57)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_relat_1(u2_lattices(k1_lattice2(A))). [resolve(109,d,104,b)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_1(u2_lattices(k1_lattice2(A))). [resolve(109,d,105,b)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_funct_2(u2_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(109,d,106,b)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(109,d,107,b)].
% 0.82/1.10 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v1_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(109,d,108,b)].
% 0.82/1.10 110 v4_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(59)].
% 0.82/1.10 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(110,a,104,b)].
% 0.82/1.10 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(110,a,105,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_2(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(110,a,106,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(110,a,107,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_partfun1(u2_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(110,a,108,b)].
% 0.82/1.11 111 v4_lattices(c16) # label(rc9_lattices) # label(axiom). [clausify(74)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l2_lattices(c16) | v1_relat_1(u2_lattices(c16)). [resolve(111,a,104,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l2_lattices(c16) | v1_funct_1(u2_lattices(c16)). [resolve(111,a,105,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l2_lattices(c16) | v1_funct_2(u2_lattices(c16),k2_zfmisc_1(u1_struct_0(c16),u1_struct_0(c16)),u1_struct_0(c16)). [resolve(111,a,106,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l2_lattices(c16) | v1_binop_1(u2_lattices(c16),u1_struct_0(c16)). [resolve(111,a,107,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l2_lattices(c16) | v1_partfun1(u2_lattices(c16),k2_zfmisc_1(u1_struct_0(c16),u1_struct_0(c16)),u1_struct_0(c16)). [resolve(111,a,108,b)].
% 0.82/1.11 112 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(51)].
% 0.82/1.11 113 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.11 114 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(51)].
% 0.82/1.11 115 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(51)].
% 0.82/1.11 116 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(51)].
% 0.82/1.11 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(116,b,113,d)].
% 0.82/1.11 117 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(51)].
% 0.82/1.11 118 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(57)].
% 0.82/1.11 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | v2_binop_1(u2_lattices(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))). [resolve(118,d,116,b)].
% 0.82/1.11 119 v5_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(59)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(119,a,116,b)].
% 0.82/1.11 120 v5_lattices(c16) # label(rc9_lattices) # label(axiom). [clausify(74)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l2_lattices(c16) | v2_binop_1(u2_lattices(c16),u1_struct_0(c16)). [resolve(120,a,116,b)].
% 0.82/1.11 121 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(54)].
% 0.82/1.11 122 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.11 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(121,b,122,d)].
% 0.82/1.11 123 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(54)].
% 0.82/1.11 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(123,b,122,d)].
% 0.82/1.11 124 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(54)].
% 0.82/1.11 Derived: v3_struct_0(A) | -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(124,b,122,d)].
% 0.82/1.11 125 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(54)].
% 0.82/1.11 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(125,b,122,d)].
% 0.82/1.11 126 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(54)].
% 0.82/1.11 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(126,b,122,d)].
% 0.82/1.11 127 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(57)].
% 0.82/1.11 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(127,d,121,b)].
% 0.82/1.11 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(127,d,123,b)].
% 0.82/1.11 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(127,d,124,b)].
% 0.82/1.11 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(127,d,125,b)].
% 0.82/1.11 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(127,d,126,b)].
% 0.82/1.11 128 v6_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(59)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(128,a,121,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(128,a,123,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_2(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(128,a,124,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(128,a,125,b)].
% 0.82/1.11 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_partfun1(u1_lattices(c5),k2_zfmisc_1(u1_struct_0(c5),u1_struct_0(c5)),u1_struct_0(c5)). [resolve(128,a,126,b)].
% 0.82/1.11 129 v6_lattices(c16) # label(rc9_lattices) # label(axiom). [clausify(74)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l1_lattices(c16) | v1_relat_1(u1_lattices(c16)). [resolve(129,a,121,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l1_lattices(c16) | v1_funct_1(u1_lattices(c16)). [resolve(129,a,123,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l1_lattices(c16) | v1_funct_2(u1_lattices(c16),k2_zfmisc_1(u1_struct_0(c16),u1_struct_0(c16)),u1_struct_0(c16)). [resolve(129,a,124,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l1_lattices(c16) | v1_binop_1(u1_lattices(c16),u1_struct_0(c16)). [resolve(129,a,125,b)].
% 0.82/1.11 Derived: v3_struct_0(c16) | -l1_lattices(c16) | v1_partfun1(u1_lattices(c16),k2_zfmisc_1(u1_struct_0(c16),u1_struct_0(c16)),u1_struct_0(c16)). [resolve(129,a,126,b)].
% 0.82/1.11 130 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(56)].
% 0.82/1.11 131 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.82/1.11 132 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(56)].
% 0.82/1.11 133 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(56)].
% 0.82/1.12 134 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(56)].
% 0.82/1.12 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(134,b,131,d)].
% 0.82/1.12 135 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(56)].
% 0.82/1.12 136 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(57)].
% 0.82/1.12 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(136,d,134,b)].
% 0.82/1.12 137 v7_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(59)].
% 0.82/1.12 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(137,a,134,b)].
% 0.82/1.12 138 v7_lattices(c16) # label(rc9_lattices) # label(axiom). [clausify(74)].
% 0.82/1.12 Derived: v3_struct_0(c16) | -l1_lattices(c16) | v2_binop_1(u1_lattices(c16),u1_struct_0(c16)). [resolve(138,a,134,b)].
% 0.82/1.12 139 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(7)].
% 0.82/1.12 140 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(6)].
% 0.82/1.12 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(139,a,140,b)].
% 0.82/1.12 141 v1_relat_1(c6) # label(rc1_funct_1) # label(axiom). [clausify(60)].
% 0.82/1.12 Derived: -v1_xboole_0(c6) | -v1_funct_1(c6) | v2_funct_1(c6). [resolve(141,a,139,a)].
% 0.82/1.12 142 v1_relat_1(c9) # label(rc2_funct_1) # label(axiom). [clausify(65)].
% 0.82/1.12 Derived: -v1_xboole_0(c9) | -v1_funct_1(c9) | v2_funct_1(c9). [resolve(142,a,139,a)].
% 0.82/1.12 143 v1_relat_1(c12) # label(rc3_funct_1) # label(axiom). [clausify(69)].
% 0.82/1.12 144 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(104,b,103,d)].
% 0.82/1.12 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(144,c,139,a)].
% 0.82/1.12 145 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(109,d,104,b)].
% 0.82/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l2_lattices(k1_lattice2(A)) | -v1_xboole_0(u2_lattices(k1_lattice2(A))) | -v1_funct_1(u2_lattices(k1_lattice2(A))) | v2_funct_1(u2_lattices(k1_lattice2(A))). [resolve(145,f,139,a)].
% 0.82/1.12 146 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(110,a,104,b)].
% 0.82/1.12 Derived: v3_struct_0(c5) | -l2_lattices(c5) | -v1_xboole_0(u2_lattices(c5)) | -v1_funct_1(u2_lattices(c5)) | v2_funct_1(u2_lattices(c5)). [resolve(146,c,139,a)].
% 0.82/1.12 147 v3_struct_0(c16) | -l2_lattices(c16) | v1_relat_1(u2_lattices(c16)). [resolve(111,a,104,b)].
% 0.82/1.12 Derived: v3_struct_0(c16) | -l2_lattices(c16) | -v1_xboole_0(u2_lattices(c16)) | -v1_funct_1(u2_lattices(c16)) | v2_funct_1(u2_lattices(c16)). [resolve(147,c,139,a)].
% 0.82/1.12 148 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(121,b,122,d)].
% 0.82/1.12 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(148,c,139,a)].
% 0.82/1.12 149 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(127,d,121,b)].
% 0.82/1.12 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | -v1_xboole_0(u1_lattices(k1_lattice2(A))) | -v1_funct_1(u1_lattices(k1_lattice2(A))) | v2_funct_1(u1_lattices(k1_lattice2(A))). [resolve(149,f,139,a)].
% 0.82/1.13 150 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(128,a,121,b)].
% 0.82/1.13 Derived: v3_struct_0(c5) | -l1_lattices(c5) | -v1_xboole_0(u1_lattices(c5)) | -v1_funct_1(u1_lattices(c5)) | v2_funct_1(u1_lattices(c5)). [resolve(150,c,139,a)].
% 0.82/1.13 151 v3_struct_0(c16) | -l1_lattices(c16) | v1_relat_1(u1_lattices(c16)). [resolve(129,a,121,b)].
% 0.82/1.13 Derived: v3_struct_0(c16) | -l1_lattices(c16) | -v1_xboole_0(u1_lattices(c16)) | -v1_funct_1(u1_lattices(c16)) | v2_funct_1(u1_lattices(c16)). [resolve(151,c,139,a)].
% 0.82/1.13 152 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(10)].
% 0.82/1.13 153 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(9)].
% 0.82/1.13 154 v13_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(59)].
% 0.82/1.13 155 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | v14_lattices(k1_lattice2(A)) # label(t63_lattice2) # label(axiom). [clausify(86)].
% 0.82/1.13 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v14_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(155,d,152,d)].
% 0.82/1.13 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | v14_lattices(k1_lattice2(c5)). [resolve(155,d,154,a)].
% 0.82/1.13 156 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v13_lattices(A) | -v14_lattices(k1_lattice2(A)) # label(t63_lattice2) # label(axiom). [clausify(86)].
% 0.82/1.13 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v14_lattices(A) | v15_lattices(A). [resolve(156,d,153,c)].
% 0.82/1.13 157 v3_struct_0(A) | -v10_lattices(A) | -v13_lattices(A) | -l3_lattices(A) | k6_lattices(k1_lattice2(A)) = k5_lattices(A) # label(t78_lattice2) # label(axiom). [clausify(88)].
% 0.82/1.13 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(k1_lattice2(A)) = k5_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(157,c,152,d)].
% 0.82/1.13 Derived: v3_struct_0(c5) | -v10_lattices(c5) | -l3_lattices(c5) | k6_lattices(k1_lattice2(c5)) = k5_lattices(c5). [resolve(157,c,154,a)].
% 0.82/1.13 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(k1_lattice2(A)) = k5_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(k1_lattice2(A)). [resolve(157,c,156,d)].
% 0.82/1.13 158 v13_lattices(c17) # label(t26_filter_2) # label(negated_conjecture). [clausify(91)].
% 0.82/1.13 Derived: -l3_lattices(c17) | v3_struct_0(c17) | -v14_lattices(c17) | v15_lattices(c17). [resolve(158,a,153,c)].
% 0.82/1.13 Derived: v3_struct_0(c17) | -v10_lattices(c17) | -l3_lattices(c17) | v14_lattices(k1_lattice2(c17)). [resolve(158,a,155,d)].
% 0.82/1.13 Derived: v3_struct_0(c17) | -v10_lattices(c17) | -l3_lattices(c17) | k6_lattices(k1_lattice2(c17)) = k5_lattices(c17). [resolve(158,a,157,c)].
% 0.82/1.13 159 v15_lattices(c5) # label(rc11_lattices) # label(axiom). [clausify(59)].
% 0.82/1.13 160 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v14_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(10)].
% 0.82/1.13 Derived: -l3_lattices(c5) | v3_struct_0(c5) | v14_lattices(c5). [resolve(159,a,160,c)].
% 0.82/1.13 161 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v14_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(155,d,152,d)].
% 0.82/1.13 162 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(k1_lattice2(A)) | -l3_lattices(A) | v3_struct_0(A) | -v14_lattices(A) | v15_lattices(A). [resolve(156,d,153,c)].
% 0.82/1.13 163 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | k6_lattices(k1_lattice2(A)) = k5_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A). [resolve(157,c,152,d)].
% 0.82/1.13 164 -l3_lattices(c17) | v3_struct_0(c17) | -v14_lattices(c17) | v15_lattices(c17). [resolve(158,a,153,c)].
% 0.82/1.13 165 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(47)].
% 0.82/1.14 166 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(21)].
% 0.82/1.14 167 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(23)].
% 0.82/1.14 168 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(36)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(165,b,166,b)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(165,b,167,b)].
% 0.82/1.14 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(165,b,168,a)].
% 0.82/1.14 169 l1_struct_0(c14) # label(rc3_struct_0) # label(axiom). [clausify(71)].
% 0.82/1.14 Derived: v3_struct_0(c14) | -v1_xboole_0(u1_struct_0(c14)). [resolve(169,a,165,b)].
% 0.82/1.14 170 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(72)].
% 0.82/1.14 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(170,b,166,b)].
% 0.82/1.14 Derived: v3_struct_0(A) | m1_subset_1(f11(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(170,b,167,b)].
% 0.82/1.14 Derived: v3_struct_0(c2) | m1_subset_1(f11(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(170,b,168,a)].
% 0.82/1.14 Derived: v3_struct_0(c14) | m1_subset_1(f11(c14),k1_zfmisc_1(u1_struct_0(c14))). [resolve(170,b,169,a)].
% 0.82/1.14 171 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f11(A)) # label(rc5_struct_0) # label(axiom). [clausify(72)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l1_lattices(A). [resolve(171,b,166,b)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v1_xboole_0(f11(A)) | -l2_lattices(A). [resolve(171,b,167,b)].
% 0.82/1.14 Derived: v3_struct_0(c2) | -v1_xboole_0(f11(c2)). [resolve(171,b,168,a)].
% 0.82/1.14 Derived: v3_struct_0(c14) | -v1_xboole_0(f11(c14)). [resolve(171,b,169,a)].
% 0.82/1.14 172 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f1(A),A) # label(existence_m1_filter_0) # label(axiom). [clausify(39)].
% 0.82/1.14 173 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(25)].
% 0.82/1.14 174 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(25)].
% 0.82/1.14 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(172,d,173,d)].
% 0.82/1.14 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(172,d,174,d)].
% 0.82/1.14 175 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(76)].
% 0.82/1.14 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(175,e,173,d)].
% 0.82/1.14 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(175,e,174,d)].
% 0.82/1.14 176 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(76)].
% 0.82/1.14 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(176,e,172,d)].
% 0.82/1.14 177 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A) # label(t13_filter_0) # label(axiom). [clausify(79)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(k6_domain_1(u1_struct_0(A),k6_lattices(A))). [resolve(177,e,173,d)].
% 0.82/1.14 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(k6_domain_1(u1_struct_0(A),k6_lattices(A)),k1_zfmisc_1(u1_struct_0(A))). [resolve(177,e,174,d)].
% 0.82/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A). [resolve(177,e,176,e)].
% 0.82/1.17 178 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(30)].
% 0.82/1.17 179 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(26)].
% 0.82/1.17 180 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(29)].
% 0.82/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A). [resolve(178,d,180,e)].
% 0.82/1.17 181 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(44)].
% 0.82/1.17 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(181,d,178,d)].
% 0.82/1.17 182 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f8(A),A) # label(rc1_lattice4) # label(axiom). [clausify(61)].
% 0.82/1.17 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_subset_1(f8(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(182,d,178,d)].
% 0.82/1.17 183 -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(32)].
% 0.82/1.17 184 -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(31)].
% 0.82/1.17 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(183,b,184,a)].
% 0.82/1.17 185 -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(34)].
% 0.82/1.17 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(185,b,184,a)].
% 0.82/1.17 186 m2_relset_1(f7(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(45)].
% 0.82/1.17 Derived: m1_subset_1(f7(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(186,a,184,a)].
% 0.82/1.17 187 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(77)].
% 0.82/1.17 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(187,a,183,b)].
% 0.82/1.17 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(187,a,185,b)].
% 0.82/1.17 Derived: m1_relset_1(f7(A,B),A,B). [resolve(187,a,186,a)].
% 0.82/1.17 188 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(77)].
% 0.82/1.17 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(188,a,184,a)].
% 0.82/1.17 189 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(83)].
% 0.82/1.17 190 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(78)].
% 0.82/1.17 191 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(83)].
% 0.82/1.17 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(189,b,190,a)].
% 0.82/1.17
% 0.82/1.17 ============================== end predicate elimination =============
% 0.82/1.17
% 0.82/1.17 Auto_denials: (non-Horn, no changes).
% 0.82/1.17
% 0.82/1.17 Term ordering decisions:
% 0.82/1.17 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. k2_zfmisc_1=1. k6_domain_1=1. f3=1. f7=1. u1_struct_0=1. k1_lattice2=1. k1_zfmisc_1=1. u1_lattices=1. u2_lattices=1. k6_lattices=1. k5_lattices=1. k1_tarski=1. f1=1. f2=1. f4=1. f5=1. f6=1. f8=1. f9=1. f10=1. f11=1. g3_lattices=1.
% 0.82/1.26
% 0.82/1.26 ============================== end of process initial clauses ========
% 0.82/1.26
% 0.82/1.26 ============================== CLAUSES FOR SEARCH ====================
% 0.82/1.26
% 0.82/1.26 ============================== end of clauses for search =============
% 0.82/1.26
% 0.82/1.26 ============================== SEARCH ================================
% 0.82/1.26
% 0.82/1.26 % Starting search at 0.10 seconds.
% 0.82/1.26
% 0.82/1.26 ============================== PROOF =================================
% 0.82/1.26 % SZS status Theorem
% 0.82/1.26 % SZS output start Refutation
% 0.82/1.26
% 0.82/1.26 % Proof 1 at 0.18 (+ 0.00) seconds.
% 0.82/1.26 % Length of proof is 59.
% 0.82/1.26 % Level of proof is 6.
% 0.82/1.26 % Maximum clause weight is 15.000.
% 0.82/1.26 % Given clauses 448.
% 0.82/1.26
% 0.82/1.26 13 (all A (l3_lattices(A) -> v3_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A)))) # label(dt_k1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 18 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 20 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 23 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 24 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 46 (all A (-v3_struct_0(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)))) # label(fc1_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 47 (all A (-v3_struct_0(A) & l1_struct_0(A) -> -v1_xboole_0(u1_struct_0(A)))) # label(fc1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 57 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> -v3_struct_0(k1_lattice2(A)) & v3_lattices(k1_lattice2(A)) & v4_lattices(k1_lattice2(A)) & v5_lattices(k1_lattice2(A)) & v6_lattices(k1_lattice2(A)) & v7_lattices(k1_lattice2(A)) & v8_lattices(k1_lattice2(A)) & v9_lattices(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)))) # label(fc6_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 75 (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].
% 0.82/1.26 76 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) <-> m1_filter_0(B,A))))) # label(redefinition_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 79 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A)))) # label(t13_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 81 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) <-> m1_filter_2(B,k1_lattice2(A)))))) # label(t21_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 86 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v13_lattices(A) <-> v14_lattices(k1_lattice2(A))))) # label(t63_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 88 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> k5_lattices(A) = k6_lattices(k1_lattice2(A)))) # label(t78_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.82/1.26 91 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (v13_lattices(A) -> m2_filter_2(k6_domain_1(u1_struct_0(A),k5_lattices(A)),A)))) # label(t26_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.82/1.26 155 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v13_lattices(A) | v14_lattices(k1_lattice2(A)) # label(t63_lattice2) # label(axiom). [clausify(86)].
% 0.82/1.26 157 v3_struct_0(A) | -v10_lattices(A) | -v13_lattices(A) | -l3_lattices(A) | k6_lattices(k1_lattice2(A)) = k5_lattices(A) # label(t78_lattice2) # label(axiom). [clausify(88)].
% 0.82/1.26 158 v13_lattices(c17) # label(t26_filter_2) # label(negated_conjecture). [clausify(91)].
% 0.82/1.26 165 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(47)].
% 0.82/1.26 167 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(23)].
% 0.82/1.26 176 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(76)].
% 0.82/1.26 177 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | m1_filter_0(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A) # label(t13_filter_0) # label(axiom). [clausify(79)].
% 0.82/1.26 198 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(13)].
% 0.82/1.26 199 v3_struct_0(A) | -l1_lattices(A) | m1_subset_1(k5_lattices(A),u1_struct_0(A)) # label(dt_k5_lattices) # label(axiom). [clausify(18)].
% 0.82/1.26 201 v3_struct_0(A) | -l2_lattices(A) | m1_subset_1(k6_lattices(A),u1_struct_0(A)) # label(dt_k6_lattices) # label(axiom). [clausify(20)].
% 0.82/1.26 202 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(24)].
% 0.82/1.26 203 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(24)].
% 0.82/1.26 217 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(46)].
% 0.82/1.26 224 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(57)].
% 0.82/1.26 254 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(75)].
% 0.82/1.26 255 v1_xboole_0(A) | -m1_subset_1(B,A) | k6_domain_1(A,B) = k1_tarski(B). [copy(254),flip(c)].
% 0.82/1.26 258 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(B,A) | -m1_filter_2(B,k1_lattice2(A)) # label(t21_filter_2) # label(axiom). [clausify(81)].
% 0.82/1.26 265 -v3_struct_0(c17) # label(t26_filter_2) # label(negated_conjecture). [clausify(91)].
% 0.82/1.26 266 v10_lattices(c17) # label(t26_filter_2) # label(negated_conjecture). [clausify(91)].
% 0.82/1.26 267 l3_lattices(c17) # label(t26_filter_2) # label(negated_conjecture). [clausify(91)].
% 0.82/1.26 268 -m2_filter_2(k6_domain_1(u1_struct_0(c17),k5_lattices(c17)),c17) # label(t26_filter_2) # label(negated_conjecture). [clausify(91)].
% 0.82/1.26 297 v3_struct_0(c17) | -v10_lattices(c17) | -l3_lattices(c17) | v14_lattices(k1_lattice2(c17)). [resolve(158,a,155,d)].
% 0.82/1.26 298 v14_lattices(k1_lattice2(c17)). [copy(297),unit_del(a,265),unit_del(b,266),unit_del(c,267)].
% 0.82/1.26 299 v3_struct_0(c17) | -v10_lattices(c17) | -l3_lattices(c17) | k6_lattices(k1_lattice2(c17)) = k5_lattices(c17). [resolve(158,a,157,c)].
% 0.82/1.26 300 k6_lattices(k1_lattice2(c17)) = k5_lattices(c17). [copy(299),unit_del(a,265),unit_del(b,266),unit_del(c,267)].
% 0.82/1.26 303 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(165,b,167,b)].
% 0.82/1.26 330 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A). [resolve(177,e,176,e)].
% 0.82/1.26 331 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v14_lattices(A) | m1_filter_2(k6_domain_1(u1_struct_0(A),k6_lattices(A)),A). [copy(330),merge(e),merge(f),merge(g)].
% 0.82/1.26 430 v10_lattices(k1_lattice2(c17)). [resolve(266,a,224,b),unit_del(a,265),unit_del(b,267)].
% 0.82/1.26 433 -v3_struct_0(k1_lattice2(c17)). [resolve(267,a,217,b),unit_del(a,265)].
% 0.82/1.26 434 l2_lattices(c17). [resolve(267,a,203,a)].
% 0.82/1.26 435 l1_lattices(c17). [resolve(267,a,202,a)].
% 0.82/1.26 436 l3_lattices(k1_lattice2(c17)). [resolve(267,a,198,a)].
% 0.82/1.26 465 m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(c17)),k5_lattices(c17)),k1_lattice2(c17)). [resolve(331,d,298,a),rewrite([300(15)]),unit_del(a,433),unit_del(b,430),unit_del(c,436)].
% 0.82/1.26 575 -v1_xboole_0(u1_struct_0(c17)). [resolve(434,a,303,c),unit_del(a,265)].
% 0.82/1.26 583 m1_subset_1(k5_lattices(c17),u1_struct_0(c17)). [resolve(435,a,199,b),unit_del(a,265)].
% 0.82/1.26 641 l2_lattices(k1_lattice2(c17)). [resolve(436,a,203,a)].
% 0.82/1.26 720 -v1_xboole_0(u1_struct_0(k1_lattice2(c17))). [resolve(641,a,303,c),unit_del(a,433)].
% 0.82/1.26 723 m1_subset_1(k5_lattices(c17),u1_struct_0(k1_lattice2(c17))). [resolve(641,a,201,b),rewrite([300(6)]),unit_del(a,433)].
% 0.82/1.26 981 k6_domain_1(u1_struct_0(c17),k5_lattices(c17)) = k1_tarski(k5_lattices(c17)). [resolve(583,a,255,b),unit_del(a,575)].
% 0.82/1.26 983 -m2_filter_2(k1_tarski(k5_lattices(c17)),c17). [back_rewrite(268),rewrite([981(5)])].
% 0.82/1.26 1338 m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(c17)),k5_lattices(c17)),c17). [resolve(465,a,258,e),unit_del(a,265),unit_del(b,266),unit_del(c,267)].
% 0.82/1.26 1351 k6_domain_1(u1_struct_0(k1_lattice2(c17)),k5_lattices(c17)) = k1_tarski(k5_lattices(c17)). [resolve(723,a,255,b),unit_del(a,720)].
% 0.82/1.26 1353 $F. [back_rewrite(1338),rewrite([1351(6)]),unit_del(a,983)].
% 0.82/1.26
% 0.82/1.26 % SZS output end Refutation
% 0.82/1.26 ============================== end of proof ==========================
% 0.82/1.26
% 0.82/1.26 ============================== STATISTICS ============================
% 0.82/1.26
% 0.82/1.26 Given=448. Generated=1416. Kept=1123. proofs=1.
% 0.82/1.26 Usable=439. Sos=655. Demods=199. Limbo=2, Disabled=308. Hints=0.
% 0.82/1.26 Megabytes=1.65.
% 0.82/1.26 User_CPU=0.18, System_CPU=0.00, Wall_clock=1.
% 0.82/1.26
% 0.82/1.26 ============================== end of statistics =====================
% 0.82/1.26
% 0.82/1.26 ============================== end of search =========================
% 0.82/1.26
% 0.82/1.26 THEOREM PROVED
% 0.82/1.26 % SZS status Theorem
% 0.82/1.26
% 0.82/1.26 Exiting with 1 proof.
% 0.82/1.26
% 0.82/1.26 Process 25901 exit (max_proofs) Wed Jun 29 03:58:32 2022
% 0.82/1.26 Prover9 interrupted
%------------------------------------------------------------------------------