TSTP Solution File: LAT319+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n029.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 06:27:27 EDT 2022
% Result : Theorem 0.92s 1.20s
% Output : Refutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT319+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 30 02:08:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/1.02 ============================== Prover9 ===============================
% 0.76/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.76/1.02 Process 8390 was started by sandbox2 on n029.cluster.edu,
% 0.76/1.02 Thu Jun 30 02:08:53 2022
% 0.76/1.02 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_8237_n029.cluster.edu".
% 0.76/1.02 ============================== end of head ===========================
% 0.76/1.02
% 0.76/1.02 ============================== INPUT =================================
% 0.76/1.02
% 0.76/1.02 % Reading from file /tmp/Prover9_8237_n029.cluster.edu
% 0.76/1.02
% 0.76/1.02 set(prolog_style_variables).
% 0.76/1.02 set(auto2).
% 0.76/1.02 % set(auto2) -> set(auto).
% 0.76/1.02 % set(auto) -> set(auto_inference).
% 0.76/1.02 % set(auto) -> set(auto_setup).
% 0.76/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.76/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.76/1.02 % set(auto) -> set(auto_limits).
% 0.76/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.76/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.76/1.02 % set(auto) -> set(auto_denials).
% 0.76/1.02 % set(auto) -> set(auto_process).
% 0.76/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.76/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.76/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.76/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.76/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.76/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.76/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.76/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.76/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.76/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.76/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.76/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.76/1.02 % set(auto2) -> assign(stats, some).
% 0.76/1.02 % set(auto2) -> clear(echo_input).
% 0.76/1.02 % set(auto2) -> set(quiet).
% 0.76/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.76/1.02 % set(auto2) -> clear(print_given).
% 0.76/1.02 assign(lrs_ticks,-1).
% 0.76/1.02 assign(sos_limit,10000).
% 0.76/1.02 assign(order,kbo).
% 0.76/1.02 set(lex_order_vars).
% 0.76/1.02 clear(print_given).
% 0.76/1.02
% 0.76/1.02 % formulas(sos). % not echoed (77 formulas)
% 0.76/1.02
% 0.76/1.02 ============================== end of input ==========================
% 0.76/1.02
% 0.76/1.02 % From the command line: assign(max_seconds, 300).
% 0.76/1.02
% 0.76/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.76/1.02
% 0.76/1.02 % Formulas that are not ordinary clauses:
% 0.76/1.02 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].
% 0.76/1.02 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 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].
% 0.76/1.02 5 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 6 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 7 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 8 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v13_lattices(A) & v14_lattices(A) -> -v3_struct_0(A) & v15_lattices(A)))) # label(cc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 9 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v15_lattices(A) -> -v3_struct_0(A) & v13_lattices(A) & v14_lattices(A)))) # label(cc4_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 10 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v17_lattices(A) -> -v3_struct_0(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 11 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 12 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_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) & v12_lattices(A)))) # label(cc7_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 13 (all A (-v3_struct_0(A) & l3_lattices(A) -> (v17_lattices(A) <-> v15_lattices(A) & v16_lattices(A) & v11_lattices(A)))) # label(d20_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 14 (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].
% 0.76/1.02 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].
% 0.76/1.02 16 (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].
% 0.76/1.02 17 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 18 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 19 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 20 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 21 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 22 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 23 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 24 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 25 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 26 (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].
% 0.76/1.02 27 (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].
% 0.76/1.02 28 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 29 (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].
% 0.76/1.02 30 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 31 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 32 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 33 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 34 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 35 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 36 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 37 (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].
% 0.76/1.02 38 (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].
% 0.76/1.02 39 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 40 (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].
% 0.76/1.02 41 (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].
% 0.76/1.02 42 (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].
% 0.76/1.02 43 (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].
% 0.76/1.02 44 (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].
% 0.76/1.02 45 (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].
% 0.76/1.02 46 (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].
% 0.76/1.02 47 (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].
% 0.76/1.02 48 (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) & v11_lattices(A) & v12_lattices(A) & v13_lattices(A) & v14_lattices(A))) # label(rc10_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.02 49 (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].
% 0.76/1.02 50 (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) & v16_lattices(A))) # label(rc12_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 51 (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) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v17_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 52 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 53 (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].
% 0.76/1.03 54 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 55 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 56 (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].
% 0.76/1.03 57 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 58 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 59 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 60 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 61 (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].
% 0.76/1.03 62 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 63 (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].
% 0.76/1.03 64 (all A all B all C (m2_relset_1(C,A,B) <-> m1_relset_1(C,A,B))) # label(redefinition_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 65 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 66 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 67 (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].
% 0.76/1.03 68 (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].
% 0.76/1.03 69 (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].
% 0.76/1.03 70 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) <-> -v3_struct_0(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))))) # label(t53_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 71 (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].
% 0.76/1.03 72 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) <-> -v3_struct_0(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))))) # label(t65_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 73 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 74 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 75 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.76/1.03 76 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) <-> -v3_struct_0(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))))) # label(t54_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.76/1.03
% 0.76/1.03 ============================== end of process non-clausal formulas ===
% 0.76/1.03
% 0.76/1.03 ============================== PROCESS INITIAL CLAUSES ===============
% 0.76/1.03
% 0.76/1.03 ============================== PREDICATE ELIMINATION =================
% 0.76/1.03 77 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | v3_lattices(g3_lattices(B,A,C)) # label(dt_g3_lattices) # label(axiom). [clausify(15)].
% 0.76/1.03 78 -l3_lattices(A) | -v3_lattices(A) | g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = A # label(abstractness_v3_lattices) # label(axiom). [clausify(1)].
% 0.76/1.03 Derived: -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | -l3_lattices(g3_lattices(B,A,C)) | g3_lattices(u1_struct_0(g3_lattices(B,A,C)),u2_lattices(g3_lattices(B,A,C)),u1_lattices(g3_lattices(B,A,C))) = g3_lattices(B,A,C). [resolve(77,g,78,b)].
% 0.76/1.03 79 -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(16)].
% 0.76/1.03 Derived: -l3_lattices(A) | -l3_lattices(k1_lattice2(A)) | g3_lattices(u1_struct_0(k1_lattice2(A)),u2_lattices(k1_lattice2(A)),u1_lattices(k1_lattice2(A))) = k1_lattice2(A). [resolve(79,b,78,b)].
% 0.76/1.03 80 v3_struct_0(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(37)].
% 0.76/1.03 81 v1_xboole_0(A) | -v1_funct_1(B) | -v1_funct_2(B,k2_zfmisc_1(A,A),A) | -m1_relset_1(B,k2_zfmisc_1(A,A),A) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(A,A),A) | -m1_relset_1(C,k2_zfmisc_1(A,A),A) | v3_lattices(g3_lattices(A,B,C)) # label(fc3_lattices) # label(axiom). [clausify(42)].
% 0.76/1.03 82 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(46)].
% 0.76/1.03 83 v3_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(48)].
% 0.76/1.03 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(83,a,78,b)].
% 0.76/1.03 84 v3_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(49)].
% 0.76/1.03 Derived: -l3_lattices(c6) | g3_lattices(u1_struct_0(c6),u2_lattices(c6),u1_lattices(c6)) = c6. [resolve(84,a,78,b)].
% 0.76/1.03 85 v3_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(50)].
% 0.76/1.03 Derived: -l3_lattices(c7) | g3_lattices(u1_struct_0(c7),u2_lattices(c7),u1_lattices(c7)) = c7. [resolve(85,a,78,b)].
% 0.76/1.03 86 v3_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(51)].
% 0.76/1.03 Derived: -l3_lattices(c8) | g3_lattices(u1_struct_0(c8),u2_lattices(c8),u1_lattices(c8)) = c8. [resolve(86,a,78,b)].
% 0.76/1.03 87 v3_lattices(c14) # label(rc3_lattices) # label(axiom). [clausify(59)].
% 0.76/1.03 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(87,a,78,b)].
% 0.76/1.03 88 v3_lattices(c16) # label(rc6_lattices) # label(axiom). [clausify(62)].
% 0.76/1.03 Derived: -l3_lattices(c16) | g3_lattices(u1_struct_0(c16),u2_lattices(c16),u1_lattices(c16)) = c16. [resolve(88,a,78,b)].
% 0.76/1.03 89 v3_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(63)].
% 0.76/1.03 Derived: -l3_lattices(c17) | g3_lattices(u1_struct_0(c17),u2_lattices(c17),u1_lattices(c17)) = c17. [resolve(89,a,78,b)].
% 0.76/1.03 90 -l3_lattices(A) | v3_struct_0(A) | -v4_lattices(A) | -v5_lattices(A) | -v6_lattices(A) | -v7_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | v10_lattices(A) # label(cc2_lattices) # label(axiom). [clausify(7)].
% 0.76/1.03 91 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.76/1.03 92 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v4_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.76/1.03 93 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(40)].
% 0.76/1.03 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(93,b,91,d)].
% 0.76/1.03 94 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(40)].
% 0.76/1.03 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(94,b,91,d)].
% 0.76/1.03 95 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(40)].
% 0.76/1.03 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(95,b,91,d)].
% 0.76/1.03 96 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(40)].
% 0.76/1.03 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(96,b,91,d)].
% 0.76/1.03 97 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(40)].
% 0.76/1.03 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(97,b,91,d)].
% 0.76/1.03 98 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v4_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(46)].
% 0.76/1.03 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(98,d,93,b)].
% 0.76/1.03 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(98,d,94,b)].
% 0.76/1.03 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(98,d,95,b)].
% 0.76/1.03 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(98,d,96,b)].
% 0.76/1.03 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(98,d,97,b)].
% 0.76/1.03 99 v4_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(48)].
% 0.76/1.03 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(99,a,93,b)].
% 0.76/1.03 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(99,a,94,b)].
% 0.76/1.03 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(99,a,95,b)].
% 0.76/1.03 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(99,a,96,b)].
% 0.76/1.03 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(99,a,97,b)].
% 0.76/1.03 100 v4_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(49)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(100,a,93,b)].
% 0.76/1.03 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_1(u2_lattices(c6)). [resolve(100,a,94,b)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_2(u2_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(100,a,95,b)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(100,a,96,b)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_partfun1(u2_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(100,a,97,b)].
% 0.76/1.04 101 v4_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(50)].
% 0.76/1.04 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(101,a,93,b)].
% 0.76/1.04 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_1(u2_lattices(c7)). [resolve(101,a,94,b)].
% 0.76/1.04 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_2(u2_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(101,a,95,b)].
% 0.76/1.04 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(101,a,96,b)].
% 0.76/1.04 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_partfun1(u2_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(101,a,97,b)].
% 0.76/1.04 102 v4_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(51)].
% 0.76/1.04 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(102,a,93,b)].
% 0.76/1.04 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_1(u2_lattices(c8)). [resolve(102,a,94,b)].
% 0.76/1.04 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_2(u2_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(102,a,95,b)].
% 0.76/1.04 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(102,a,96,b)].
% 0.76/1.04 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_partfun1(u2_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(102,a,97,b)].
% 0.76/1.04 103 v4_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(63)].
% 0.76/1.04 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(103,a,93,b)].
% 0.76/1.04 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_1(u2_lattices(c17)). [resolve(103,a,94,b)].
% 0.76/1.04 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_2(u2_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(103,a,95,b)].
% 0.76/1.04 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(103,a,96,b)].
% 0.76/1.04 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_partfun1(u2_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(103,a,97,b)].
% 0.76/1.04 104 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(41)].
% 0.76/1.04 105 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.76/1.04 106 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v5_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.76/1.04 107 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(41)].
% 0.76/1.04 108 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(41)].
% 0.76/1.04 109 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(41)].
% 0.76/1.04 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(109,b,105,d)].
% 0.76/1.04 110 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(41)].
% 0.76/1.04 111 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v5_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(46)].
% 0.76/1.04 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(111,d,109,b)].
% 0.76/1.04 112 v5_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(48)].
% 0.76/1.04 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(112,a,109,b)].
% 0.76/1.04 113 v5_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(49)].
% 0.76/1.04 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v2_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(113,a,109,b)].
% 0.76/1.04 114 v5_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(50)].
% 0.76/1.04 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v2_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(114,a,109,b)].
% 0.76/1.04 115 v5_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(51)].
% 0.76/1.04 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v2_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(115,a,109,b)].
% 0.76/1.04 116 v5_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(63)].
% 0.76/1.04 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v2_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(116,a,109,b)].
% 0.76/1.04 117 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(43)].
% 0.76/1.04 118 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.76/1.04 119 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v6_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.76/1.04 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(117,b,118,d)].
% 0.76/1.04 120 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(43)].
% 0.76/1.04 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(120,b,118,d)].
% 0.76/1.04 121 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(43)].
% 0.76/1.04 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(121,b,118,d)].
% 0.76/1.04 122 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(43)].
% 0.76/1.04 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(122,b,118,d)].
% 0.76/1.04 123 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(43)].
% 0.76/1.04 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(123,b,118,d)].
% 0.76/1.04 124 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v6_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(46)].
% 0.76/1.04 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(124,d,117,b)].
% 0.76/1.04 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(124,d,120,b)].
% 0.76/1.04 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(124,d,121,b)].
% 0.76/1.04 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(124,d,122,b)].
% 0.76/1.05 Derived: v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v3_struct_0(k1_lattice2(A)) | -l1_lattices(k1_lattice2(A)) | v1_partfun1(u1_lattices(k1_lattice2(A)),k2_zfmisc_1(u1_struct_0(k1_lattice2(A)),u1_struct_0(k1_lattice2(A))),u1_struct_0(k1_lattice2(A))). [resolve(124,d,123,b)].
% 0.76/1.05 125 v6_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(48)].
% 0.76/1.05 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(125,a,117,b)].
% 0.76/1.05 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(125,a,120,b)].
% 0.76/1.05 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(125,a,121,b)].
% 0.76/1.05 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(125,a,122,b)].
% 0.76/1.05 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(125,a,123,b)].
% 0.76/1.05 126 v6_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(49)].
% 0.76/1.05 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(126,a,117,b)].
% 0.76/1.05 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_1(u1_lattices(c6)). [resolve(126,a,120,b)].
% 0.76/1.05 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_2(u1_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(126,a,121,b)].
% 0.76/1.05 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(126,a,122,b)].
% 0.76/1.05 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_partfun1(u1_lattices(c6),k2_zfmisc_1(u1_struct_0(c6),u1_struct_0(c6)),u1_struct_0(c6)). [resolve(126,a,123,b)].
% 0.76/1.05 127 v6_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(50)].
% 0.76/1.05 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(127,a,117,b)].
% 0.76/1.05 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_1(u1_lattices(c7)). [resolve(127,a,120,b)].
% 0.76/1.05 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_2(u1_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(127,a,121,b)].
% 0.76/1.05 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(127,a,122,b)].
% 0.76/1.05 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_partfun1(u1_lattices(c7),k2_zfmisc_1(u1_struct_0(c7),u1_struct_0(c7)),u1_struct_0(c7)). [resolve(127,a,123,b)].
% 0.76/1.05 128 v6_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(51)].
% 0.76/1.05 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(128,a,117,b)].
% 0.76/1.05 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_1(u1_lattices(c8)). [resolve(128,a,120,b)].
% 0.76/1.05 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_2(u1_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(128,a,121,b)].
% 0.76/1.05 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(128,a,122,b)].
% 0.76/1.05 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_partfun1(u1_lattices(c8),k2_zfmisc_1(u1_struct_0(c8),u1_struct_0(c8)),u1_struct_0(c8)). [resolve(128,a,123,b)].
% 0.76/1.05 129 v6_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(63)].
% 0.76/1.05 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(129,a,117,b)].
% 0.76/1.05 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_1(u1_lattices(c17)). [resolve(129,a,120,b)].
% 0.76/1.05 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_2(u1_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(129,a,121,b)].
% 0.76/1.05 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(129,a,122,b)].
% 0.76/1.05 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_partfun1(u1_lattices(c17),k2_zfmisc_1(u1_struct_0(c17),u1_struct_0(c17)),u1_struct_0(c17)). [resolve(129,a,123,b)].
% 0.76/1.05 130 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(45)].
% 0.76/1.07 131 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.76/1.07 132 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v7_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.76/1.07 133 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(45)].
% 0.76/1.07 134 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(45)].
% 0.76/1.07 135 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(45)].
% 0.76/1.07 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(135,b,131,d)].
% 0.76/1.07 136 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(45)].
% 0.76/1.07 137 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v7_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(46)].
% 0.76/1.07 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(137,d,135,b)].
% 0.76/1.07 138 v7_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(48)].
% 0.76/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(138,a,135,b)].
% 0.76/1.07 139 v7_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(49)].
% 0.76/1.07 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v2_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(139,a,135,b)].
% 0.76/1.07 140 v7_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(50)].
% 0.76/1.07 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v2_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(140,a,135,b)].
% 0.76/1.07 141 v7_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(51)].
% 0.76/1.07 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v2_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(141,a,135,b)].
% 0.76/1.07 142 v7_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(63)].
% 0.76/1.07 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v2_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(142,a,135,b)].
% 0.76/1.07 143 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.76/1.07 144 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.76/1.07 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(143,a,144,b)].
% 0.76/1.07 145 v1_relat_1(c9) # label(rc1_funct_1) # label(axiom). [clausify(52)].
% 0.76/1.07 Derived: -v1_xboole_0(c9) | -v1_funct_1(c9) | v2_funct_1(c9). [resolve(145,a,143,a)].
% 0.76/1.07 146 v1_relat_1(c11) # label(rc2_funct_1) # label(axiom). [clausify(55)].
% 0.76/1.07 Derived: -v1_xboole_0(c11) | -v1_funct_1(c11) | v2_funct_1(c11). [resolve(146,a,143,a)].
% 0.76/1.07 147 v1_relat_1(c13) # label(rc3_funct_1) # label(axiom). [clausify(58)].
% 0.76/1.07 148 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(93,b,91,d)].
% 0.76/1.07 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(148,c,143,a)].
% 0.76/1.07 149 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(98,d,93,b)].
% 0.76/1.07 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(149,f,143,a)].
% 0.76/1.07 150 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(99,a,93,b)].
% 0.76/1.07 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(150,c,143,a)].
% 0.76/1.07 151 v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(100,a,93,b)].
% 0.76/1.07 Derived: v3_struct_0(c6) | -l2_lattices(c6) | -v1_xboole_0(u2_lattices(c6)) | -v1_funct_1(u2_lattices(c6)) | v2_funct_1(u2_lattices(c6)). [resolve(151,c,143,a)].
% 0.76/1.07 152 v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(101,a,93,b)].
% 0.76/1.07 Derived: v3_struct_0(c7) | -l2_lattices(c7) | -v1_xboole_0(u2_lattices(c7)) | -v1_funct_1(u2_lattices(c7)) | v2_funct_1(u2_lattices(c7)). [resolve(152,c,143,a)].
% 0.76/1.07 153 v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(102,a,93,b)].
% 0.76/1.07 Derived: v3_struct_0(c8) | -l2_lattices(c8) | -v1_xboole_0(u2_lattices(c8)) | -v1_funct_1(u2_lattices(c8)) | v2_funct_1(u2_lattices(c8)). [resolve(153,c,143,a)].
% 0.76/1.07 154 v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(103,a,93,b)].
% 0.76/1.07 Derived: v3_struct_0(c17) | -l2_lattices(c17) | -v1_xboole_0(u2_lattices(c17)) | -v1_funct_1(u2_lattices(c17)) | v2_funct_1(u2_lattices(c17)). [resolve(154,c,143,a)].
% 0.76/1.07 155 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(117,b,118,d)].
% 0.76/1.07 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(155,c,143,a)].
% 0.76/1.07 156 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(124,d,117,b)].
% 0.76/1.07 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(156,f,143,a)].
% 0.76/1.07 157 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(125,a,117,b)].
% 0.76/1.07 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(157,c,143,a)].
% 0.76/1.07 158 v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(126,a,117,b)].
% 0.76/1.07 Derived: v3_struct_0(c6) | -l1_lattices(c6) | -v1_xboole_0(u1_lattices(c6)) | -v1_funct_1(u1_lattices(c6)) | v2_funct_1(u1_lattices(c6)). [resolve(158,c,143,a)].
% 0.76/1.07 159 v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(127,a,117,b)].
% 0.76/1.07 Derived: v3_struct_0(c7) | -l1_lattices(c7) | -v1_xboole_0(u1_lattices(c7)) | -v1_funct_1(u1_lattices(c7)) | v2_funct_1(u1_lattices(c7)). [resolve(159,c,143,a)].
% 0.76/1.07 160 v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(128,a,117,b)].
% 0.76/1.07 Derived: v3_struct_0(c8) | -l1_lattices(c8) | -v1_xboole_0(u1_lattices(c8)) | -v1_funct_1(u1_lattices(c8)) | v2_funct_1(u1_lattices(c8)). [resolve(160,c,143,a)].
% 0.76/1.07 161 v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(129,a,117,b)].
% 0.76/1.07 Derived: v3_struct_0(c17) | -l1_lattices(c17) | -v1_xboole_0(u1_lattices(c17)) | -v1_funct_1(u1_lattices(c17)) | v2_funct_1(u1_lattices(c17)). [resolve(161,c,143,a)].
% 0.76/1.07 162 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.76/1.07 163 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.76/1.07 164 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v13_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.76/1.07 165 v13_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(48)].
% 0.76/1.07 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | v15_lattices(c5). [resolve(165,a,163,c)].
% 0.76/1.07 166 v13_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(49)].
% 0.76/1.07 167 v13_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(50)].
% 0.76/1.11 168 v13_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(51)].
% 0.76/1.11 169 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(38)].
% 0.76/1.11 170 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(20)].
% 0.76/1.11 171 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(22)].
% 0.76/1.11 172 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(31)].
% 0.76/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(169,b,170,b)].
% 0.76/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(169,b,171,b)].
% 0.76/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(169,b,172,a)].
% 0.76/1.11 173 l1_struct_0(c15) # label(rc3_struct_0) # label(axiom). [clausify(60)].
% 0.76/1.11 Derived: v3_struct_0(c15) | -v1_xboole_0(u1_struct_0(c15)). [resolve(173,a,169,b)].
% 0.76/1.11 174 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(61)].
% 0.76/1.11 Derived: v3_struct_0(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(174,b,170,b)].
% 0.76/1.11 Derived: v3_struct_0(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(174,b,171,b)].
% 0.76/1.11 Derived: v3_struct_0(c2) | m1_subset_1(f6(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(174,b,172,a)].
% 0.76/1.11 Derived: v3_struct_0(c15) | m1_subset_1(f6(c15),k1_zfmisc_1(u1_struct_0(c15))). [resolve(174,b,173,a)].
% 0.76/1.11 175 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f6(A)) # label(rc5_struct_0) # label(axiom). [clausify(61)].
% 0.76/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(f6(A)) | -l1_lattices(A). [resolve(175,b,170,b)].
% 0.76/1.11 Derived: v3_struct_0(A) | -v1_xboole_0(f6(A)) | -l2_lattices(A). [resolve(175,b,171,b)].
% 0.76/1.11 Derived: v3_struct_0(c2) | -v1_xboole_0(f6(c2)). [resolve(175,b,172,a)].
% 0.76/1.11 Derived: v3_struct_0(c15) | -v1_xboole_0(f6(c15)). [resolve(175,b,173,a)].
% 0.76/1.11 176 -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(27)].
% 0.76/1.11 177 -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(26)].
% 0.76/1.11 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(176,b,177,a)].
% 0.76/1.11 178 -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(29)].
% 0.76/1.11 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(178,b,177,a)].
% 0.76/1.11 179 m2_relset_1(f3(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(36)].
% 0.76/1.11 Derived: m1_subset_1(f3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(179,a,177,a)].
% 0.76/1.11 180 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(64)].
% 0.76/1.11 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(180,a,176,b)].
% 0.76/1.11 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(180,a,178,b)].
% 0.76/1.11 Derived: m1_relset_1(f3(A,B),A,B). [resolve(180,a,179,a)].
% 0.76/1.11 181 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(64)].
% 0.76/1.11 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(181,a,177,a)].
% 0.76/1.11 182 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(68)].
% 0.76/1.11 183 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(65)].
% 0.76/1.11 184 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(68)].
% 0.76/1.11 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(182,b,183,a)].
% 0.76/1.11
% 0.76/1.11 ============================== end predicate elimination =============
% 0.76/1.11
% 0.76/1.11 Auto_denials: (non-Horn, no changes).
% 0.76/1.11
% 0.76/1.11 Term ordering decisions:
% 0.76/1.11 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. f1=1. f3=1. u1_struct_0=1. k1_lattice2=1. u1_lattices=1. u2_lattices=1. k1_zfmisc_1=1. f2=1. f4=1. f5=1. f6=1. g3_lattices=1.
% 0.92/1.20
% 0.92/1.20 ============================== end of process initial clauses ========
% 0.92/1.20
% 0.92/1.20 ============================== CLAUSES FOR SEARCH ====================
% 0.92/1.20
% 0.92/1.20 ============================== end of clauses for search =============
% 0.92/1.20
% 0.92/1.20 ============================== SEARCH ================================
% 0.92/1.20
% 0.92/1.20 % Starting search at 0.10 seconds.
% 0.92/1.20
% 0.92/1.20 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 249 (0.00 of 0.16 sec).
% 0.92/1.20
% 0.92/1.20 ============================== PROOF =================================
% 0.92/1.20 % SZS status Theorem
% 0.92/1.20 % SZS output start Refutation
% 0.92/1.20
% 0.92/1.20 % Proof 1 at 0.19 (+ 0.00) seconds.
% 0.92/1.20 % Length of proof is 54.
% 0.92/1.20 % Level of proof is 12.
% 0.92/1.20 % Maximum clause weight is 23.000.
% 0.92/1.20 % Given clauses 662.
% 0.92/1.20
% 0.92/1.20 10 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v17_lattices(A) -> -v3_struct_0(A) & v11_lattices(A) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A)))) # label(cc5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.20 11 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v11_lattices(A) & v15_lattices(A) & v16_lattices(A) -> -v3_struct_0(A) & v17_lattices(A)))) # label(cc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.20 16 (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].
% 0.92/1.20 37 (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].
% 0.92/1.20 46 (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].
% 0.92/1.20 70 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) <-> -v3_struct_0(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v15_lattices(k1_lattice2(A)) & v16_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))))) # label(t53_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.20 72 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & l3_lattices(A) <-> -v3_struct_0(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v11_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))))) # label(t65_lattice2) # label(axiom) # label(non_clause). [assumption].
% 0.92/1.20 76 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) <-> -v3_struct_0(k1_lattice2(A)) & v10_lattices(k1_lattice2(A)) & v17_lattices(k1_lattice2(A)) & l3_lattices(k1_lattice2(A))))) # label(t54_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.92/1.20 188 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v11_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.92/1.20 190 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v15_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.92/1.20 191 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v16_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.92/1.20 192 -l3_lattices(A) | v3_struct_0(A) | -v11_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | v17_lattices(A) # label(cc6_lattices) # label(axiom). [clausify(11)].
% 0.92/1.20 196 -l3_lattices(A) | l3_lattices(k1_lattice2(A)) # label(dt_k1_lattice2) # label(axiom). [clausify(16)].
% 0.92/1.20 208 v3_struct_0(A) | -l3_lattices(A) | -v3_struct_0(k1_lattice2(A)) # label(fc1_lattice2) # label(axiom). [clausify(37)].
% 0.92/1.20 213 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v10_lattices(k1_lattice2(A)) # label(fc6_lattice2) # label(axiom). [clausify(46)].
% 0.92/1.20 261 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | v15_lattices(k1_lattice2(A)) # label(t53_filter_2) # label(axiom). [clausify(70)].
% 0.92/1.20 262 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | v16_lattices(k1_lattice2(A)) # label(t53_filter_2) # label(axiom). [clausify(70)].
% 0.92/1.20 263 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v15_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v15_lattices(k1_lattice2(A)) | -v16_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) # label(t53_filter_2) # label(axiom). [clausify(70)].
% 0.92/1.20 264 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v16_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v15_lattices(k1_lattice2(A)) | -v16_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) # label(t53_filter_2) # label(axiom). [clausify(70)].
% 0.92/1.20 266 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v11_lattices(A) | v11_lattices(k1_lattice2(A)) # label(t65_lattice2) # label(axiom). [clausify(72)].
% 0.92/1.20 267 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | v11_lattices(A) | v3_struct_0(k1_lattice2(A)) | -v10_lattices(k1_lattice2(A)) | -v11_lattices(k1_lattice2(A)) | -l3_lattices(k1_lattice2(A)) # label(t65_lattice2) # label(axiom). [clausify(72)].
% 0.92/1.20 271 -v3_struct_0(c18) # label(t54_filter_2) # label(negated_conjecture). [clausify(76)].
% 0.92/1.20 272 v10_lattices(c18) # label(t54_filter_2) # label(negated_conjecture). [clausify(76)].
% 0.92/1.20 273 l3_lattices(c18) # label(t54_filter_2) # label(negated_conjecture). [clausify(76)].
% 0.92/1.20 276 v17_lattices(c18) | v17_lattices(k1_lattice2(c18)) # label(t54_filter_2) # label(negated_conjecture). [clausify(76)].
% 0.92/1.20 278 v3_struct_0(c18) | -v10_lattices(c18) | -v17_lattices(c18) | -l3_lattices(c18) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)) # label(t54_filter_2) # label(negated_conjecture). [clausify(76)].
% 0.92/1.20 279 -v17_lattices(c18) | v3_struct_0(k1_lattice2(c18)) | -v10_lattices(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)). [copy(278),unit_del(a,271),unit_del(b,272),unit_del(d,273)].
% 0.92/1.20 435 v10_lattices(k1_lattice2(c18)). [resolve(272,a,213,b),unit_del(a,271),unit_del(b,273)].
% 0.92/1.20 436 -v17_lattices(c18) | v3_struct_0(k1_lattice2(c18)) | -v17_lattices(k1_lattice2(c18)) | -l3_lattices(k1_lattice2(c18)). [back_unit_del(279),unit_del(c,435)].
% 0.92/1.20 437 -v3_struct_0(k1_lattice2(c18)). [resolve(273,a,208,b),unit_del(a,271)].
% 0.92/1.20 440 l3_lattices(k1_lattice2(c18)). [resolve(273,a,196,a)].
% 0.92/1.20 442 -v17_lattices(c18) | -v17_lattices(k1_lattice2(c18)). [back_unit_del(436),unit_del(b,437),unit_del(d,440)].
% 0.92/1.20 443 v17_lattices(c18) | v16_lattices(k1_lattice2(c18)). [resolve(276,b,191,c),unit_del(b,440),unit_del(c,437)].
% 0.92/1.20 444 v17_lattices(c18) | v15_lattices(k1_lattice2(c18)). [resolve(276,b,190,c),unit_del(b,440),unit_del(c,437)].
% 0.92/1.20 446 v17_lattices(c18) | v11_lattices(k1_lattice2(c18)). [resolve(276,b,188,c),unit_del(b,440),unit_del(c,437)].
% 0.92/1.20 885 v17_lattices(c18) | v16_lattices(c18) | -v15_lattices(k1_lattice2(c18)). [resolve(443,b,264,h),unit_del(b,271),unit_del(c,272),unit_del(d,273),unit_del(f,437),unit_del(g,435),unit_del(i,440)].
% 0.92/1.20 886 v17_lattices(c18) | v15_lattices(c18) | -v15_lattices(k1_lattice2(c18)). [resolve(443,b,263,h),unit_del(b,271),unit_del(c,272),unit_del(d,273),unit_del(f,437),unit_del(g,435),unit_del(i,440)].
% 0.92/1.20 911 v15_lattices(k1_lattice2(c18)) | v16_lattices(c18). [resolve(444,a,191,c),unit_del(b,273),unit_del(c,271)].
% 0.92/1.20 912 v15_lattices(k1_lattice2(c18)) | v15_lattices(c18). [resolve(444,a,190,c),unit_del(b,273),unit_del(c,271)].
% 0.92/1.20 944 v17_lattices(c18) | v11_lattices(c18). [resolve(446,b,267,g),unit_del(b,271),unit_del(c,272),unit_del(d,273),unit_del(f,437),unit_del(g,435),unit_del(h,440)].
% 0.92/1.20 950 v17_lattices(c18) | -v15_lattices(c18) | -v16_lattices(c18). [resolve(944,b,192,c),merge(f),unit_del(b,273),unit_del(c,271)].
% 0.92/1.20 1034 v15_lattices(k1_lattice2(c18)) | -v15_lattices(c18). [resolve(911,b,261,e),merge(f),unit_del(b,271),unit_del(c,272),unit_del(d,273)].
% 0.92/1.20 1550 v17_lattices(c18) | v15_lattices(c18). [resolve(886,c,912,a),merge(c)].
% 0.92/1.20 1552 v15_lattices(c18). [resolve(1550,a,190,c),merge(d),unit_del(b,273),unit_del(c,271)].
% 0.92/1.20 1553 v15_lattices(k1_lattice2(c18)). [back_unit_del(1034),unit_del(b,1552)].
% 0.92/1.20 1554 v17_lattices(c18) | -v16_lattices(c18). [back_unit_del(950),unit_del(b,1552)].
% 0.92/1.20 1557 v17_lattices(c18) | v16_lattices(c18). [back_unit_del(885),unit_del(c,1553)].
% 0.92/1.20 1603 v17_lattices(c18). [resolve(1557,b,1554,b),merge(b)].
% 0.92/1.20 1604 -v17_lattices(k1_lattice2(c18)). [back_unit_del(442),unit_del(a,1603)].
% 0.92/1.20 1606 v16_lattices(c18). [resolve(1603,a,191,c),unit_del(a,273),unit_del(b,271)].
% 0.92/1.20 1607 v11_lattices(c18). [resolve(1603,a,188,c),unit_del(a,273),unit_del(b,271)].
% 0.92/1.20 1608 v16_lattices(k1_lattice2(c18)). [resolve(1606,a,262,e),unit_del(a,271),unit_del(b,272),unit_del(c,273),unit_del(d,1552)].
% 0.92/1.20 1609 v11_lattices(k1_lattice2(c18)). [resolve(1607,a,266,d),unit_del(a,271),unit_del(b,272),unit_del(c,273)].
% 0.92/1.20 1613 $F. [resolve(1609,a,192,c),unit_del(a,440),unit_del(b,437),unit_del(c,1553),unit_del(d,1608),unit_del(e,1604)].
% 0.92/1.20
% 0.92/1.20 % SZS output end Refutation
% 0.92/1.20 ============================== end of proof ==========================
% 0.92/1.20
% 0.92/1.20 ============================== STATISTICS ============================
% 0.92/1.20
% 0.92/1.20 Given=662. Generated=1851. Kept=1391. proofs=1.
% 0.92/1.20 Usable=650. Sos=710. Demods=97. Limbo=1, Disabled=378. Hints=0.
% 0.92/1.20 Megabytes=2.18.
% 0.92/1.20 User_CPU=0.20, System_CPU=0.00, Wall_clock=1.
% 0.92/1.20
% 0.92/1.20 ============================== end of statistics =====================
% 0.92/1.20
% 0.92/1.20 ============================== end of search =========================
% 0.92/1.20
% 0.92/1.20 THEOREM PROVED
% 0.92/1.20 % SZS status Theorem
% 0.92/1.20
% 0.92/1.20 Exiting with 1 proof.
% 0.92/1.20
% 0.92/1.20 Process 8390 exit (max_proofs) Thu Jun 30 02:08:54 2022
% 0.92/1.20 Prover9 interrupted
%------------------------------------------------------------------------------