TSTP Solution File: LAT296+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n024.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 06:27:03 EDT 2022
% Result : Theorem 5.20s 5.48s
% Output : Refutation 5.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT296+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12 % Command : tptp2X_and_run_prover9 %d %s
% 0.12/0.33 % Computer : n024.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 : Wed Jun 29 09:26:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.04 ============================== Prover9 ===============================
% 0.43/1.04 Prover9 (32) version 2009-11A, November 2009.
% 0.43/1.04 Process 20916 was started by sandbox on n024.cluster.edu,
% 0.43/1.04 Wed Jun 29 09:26:16 2022
% 0.43/1.04 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_20763_n024.cluster.edu".
% 0.43/1.04 ============================== end of head ===========================
% 0.43/1.04
% 0.43/1.04 ============================== INPUT =================================
% 0.43/1.04
% 0.43/1.04 % Reading from file /tmp/Prover9_20763_n024.cluster.edu
% 0.43/1.04
% 0.43/1.04 set(prolog_style_variables).
% 0.43/1.04 set(auto2).
% 0.43/1.04 % set(auto2) -> set(auto).
% 0.43/1.04 % set(auto) -> set(auto_inference).
% 0.43/1.04 % set(auto) -> set(auto_setup).
% 0.43/1.04 % set(auto_setup) -> set(predicate_elim).
% 0.43/1.04 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.43/1.04 % set(auto) -> set(auto_limits).
% 0.43/1.04 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.43/1.04 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.43/1.04 % set(auto) -> set(auto_denials).
% 0.43/1.04 % set(auto) -> set(auto_process).
% 0.43/1.04 % set(auto2) -> assign(new_constants, 1).
% 0.43/1.04 % set(auto2) -> assign(fold_denial_max, 3).
% 0.43/1.04 % set(auto2) -> assign(max_weight, "200.000").
% 0.43/1.04 % set(auto2) -> assign(max_hours, 1).
% 0.43/1.04 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.43/1.04 % set(auto2) -> assign(max_seconds, 0).
% 0.43/1.04 % set(auto2) -> assign(max_minutes, 5).
% 0.43/1.04 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.43/1.04 % set(auto2) -> set(sort_initial_sos).
% 0.43/1.04 % set(auto2) -> assign(sos_limit, -1).
% 0.43/1.04 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.43/1.04 % set(auto2) -> assign(max_megs, 400).
% 0.43/1.04 % set(auto2) -> assign(stats, some).
% 0.43/1.04 % set(auto2) -> clear(echo_input).
% 0.43/1.04 % set(auto2) -> set(quiet).
% 0.43/1.04 % set(auto2) -> clear(print_initial_clauses).
% 0.43/1.04 % set(auto2) -> clear(print_given).
% 0.43/1.04 assign(lrs_ticks,-1).
% 0.43/1.04 assign(sos_limit,10000).
% 0.43/1.04 assign(order,kbo).
% 0.43/1.04 set(lex_order_vars).
% 0.43/1.04 clear(print_given).
% 0.43/1.04
% 0.43/1.04 % formulas(sos). % not echoed (73 formulas)
% 0.43/1.04
% 0.43/1.04 ============================== end of input ==========================
% 0.43/1.04
% 0.43/1.04 % From the command line: assign(max_seconds, 300).
% 0.43/1.04
% 0.43/1.04 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.43/1.04
% 0.43/1.04 % Formulas that are not ordinary clauses:
% 0.43/1.04 1 (all A (l3_lattices(A) -> (v3_lattices(A) -> A = g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A))))) # label(abstractness_v3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.04 2 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.04 3 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.04 4 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.04 5 (all A all B all C (m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) -> v1_relat_1(C))) # label(cc1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.04 6 (all A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A) -> v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(cc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.04 7 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A) -> -v3_struct_0(A) & v10_lattices(A)))) # label(cc2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.04 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].
% 0.43/1.04 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].
% 0.43/1.04 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].
% 0.43/1.04 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].
% 0.43/1.05 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].
% 0.43/1.05 13 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v16_lattices(A) & l3_lattices(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k7_lattices(A,B) <-> r2_lattices(A,C,B))))))))) # label(d21_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 14 (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].
% 0.43/1.05 15 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 16 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 17 $T # label(dt_k2_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 18 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)))) # label(dt_k7_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 19 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 20 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 21 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 22 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 23 $T # label(dt_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 24 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 25 (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].
% 0.43/1.05 26 (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].
% 0.43/1.05 27 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 28 (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].
% 0.43/1.05 29 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 30 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 31 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 32 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 33 (all A all B exists C m1_relset_1(C,A,B)) # label(existence_m1_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 34 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 35 (all A all B exists C m2_relset_1(C,A,B)) # label(existence_m2_relset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 36 (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].
% 0.43/1.05 37 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 38 (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].
% 0.43/1.05 39 (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].
% 0.43/1.05 40 (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].
% 0.43/1.05 41 (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].
% 0.43/1.05 42 (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].
% 0.43/1.05 43 (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].
% 0.43/1.05 44 (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].
% 0.43/1.05 45 (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].
% 0.43/1.05 46 (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].
% 0.43/1.05 47 (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].
% 0.43/1.05 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) & v13_lattices(A) & v14_lattices(A) & v15_lattices(A) & v16_lattices(A) & v17_lattices(A))) # label(rc13_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 49 (exists A (v1_relat_1(A) & v1_funct_1(A))) # label(rc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 50 (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].
% 0.43/1.05 51 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 52 (exists A (v1_relat_1(A) & v1_xboole_0(A) & v1_funct_1(A))) # label(rc2_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 53 (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].
% 0.43/1.05 54 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 55 (exists A (v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A))) # label(rc3_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 56 (exists A (l3_lattices(A) & v3_lattices(A))) # label(rc3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 57 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 58 (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].
% 0.43/1.05 59 (exists A (l3_lattices(A) & -v3_struct_0(A) & v3_lattices(A))) # label(rc6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 60 (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].
% 0.43/1.05 61 (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].
% 0.43/1.05 62 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 63 (all A (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & v15_lattices(B) & v16_lattices(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (C = E & D = F & r2_lattices(A,C,D) -> r2_lattices(B,E,F))))))))))))))) # label(t11_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 64 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 65 (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].
% 0.43/1.05 66 (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].
% 0.43/1.05 67 (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].
% 0.43/1.05 68 (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].
% 0.43/1.05 69 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 70 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 71 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.43/1.05 72 -(all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C = D -> k7_lattices(A,C) = k7_lattices(B,D))))))))))) # label(t12_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.43/1.05
% 0.43/1.05 ============================== end of process non-clausal formulas ===
% 0.43/1.05
% 0.43/1.05 ============================== PROCESS INITIAL CLAUSES ===============
% 0.43/1.05
% 0.43/1.05 ============================== PREDICATE ELIMINATION =================
% 0.43/1.05 73 -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(14)].
% 0.43/1.05 74 -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)].
% 0.43/1.05 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(73,g,74,b)].
% 0.43/1.05 75 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(40)].
% 0.43/1.05 76 v3_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(45)].
% 0.43/1.05 Derived: -l3_lattices(c5) | g3_lattices(u1_struct_0(c5),u2_lattices(c5),u1_lattices(c5)) = c5. [resolve(76,a,74,b)].
% 0.43/1.05 77 v3_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(46)].
% 0.43/1.05 Derived: -l3_lattices(c6) | g3_lattices(u1_struct_0(c6),u2_lattices(c6),u1_lattices(c6)) = c6. [resolve(77,a,74,b)].
% 0.43/1.05 78 v3_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(47)].
% 0.43/1.05 Derived: -l3_lattices(c7) | g3_lattices(u1_struct_0(c7),u2_lattices(c7),u1_lattices(c7)) = c7. [resolve(78,a,74,b)].
% 0.43/1.05 79 v3_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.43/1.05 Derived: -l3_lattices(c8) | g3_lattices(u1_struct_0(c8),u2_lattices(c8),u1_lattices(c8)) = c8. [resolve(79,a,74,b)].
% 0.43/1.05 80 v3_lattices(c14) # label(rc3_lattices) # label(axiom). [clausify(56)].
% 0.43/1.05 Derived: -l3_lattices(c14) | g3_lattices(u1_struct_0(c14),u2_lattices(c14),u1_lattices(c14)) = c14. [resolve(80,a,74,b)].
% 0.43/1.05 81 v3_lattices(c16) # label(rc6_lattices) # label(axiom). [clausify(59)].
% 0.43/1.05 Derived: -l3_lattices(c16) | g3_lattices(u1_struct_0(c16),u2_lattices(c16),u1_lattices(c16)) = c16. [resolve(81,a,74,b)].
% 0.43/1.05 82 v3_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(60)].
% 0.43/1.05 Derived: -l3_lattices(c17) | g3_lattices(u1_struct_0(c17),u2_lattices(c17),u1_lattices(c17)) = c17. [resolve(82,a,74,b)].
% 0.43/1.05 83 -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)].
% 0.43/1.05 84 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.43/1.05 85 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v4_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.43/1.05 86 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(38)].
% 0.43/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(86,b,84,d)].
% 0.43/1.05 87 v3_struct_0(A) | -v4_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc2_lattice2) # label(axiom). [clausify(38)].
% 0.43/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(87,b,84,d)].
% 0.43/1.05 88 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(38)].
% 0.43/1.05 Derived: v3_struct_0(A) | -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(88,b,84,d)].
% 0.77/1.06 89 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(38)].
% 0.77/1.06 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(89,b,84,d)].
% 0.77/1.06 90 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(38)].
% 0.77/1.06 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(90,b,84,d)].
% 0.77/1.06 91 v4_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(45)].
% 0.77/1.06 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(91,a,86,b)].
% 0.77/1.06 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_funct_1(u2_lattices(c5)). [resolve(91,a,87,b)].
% 0.77/1.06 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(91,a,88,b)].
% 0.77/1.06 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v1_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(91,a,89,b)].
% 0.77/1.06 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(91,a,90,b)].
% 0.77/1.06 92 v4_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(46)].
% 0.77/1.06 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(92,a,86,b)].
% 0.77/1.06 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_funct_1(u2_lattices(c6)). [resolve(92,a,87,b)].
% 0.77/1.06 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(92,a,88,b)].
% 0.77/1.06 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v1_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(92,a,89,b)].
% 0.77/1.06 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(92,a,90,b)].
% 0.77/1.06 93 v4_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(47)].
% 0.77/1.06 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(93,a,86,b)].
% 0.77/1.06 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_funct_1(u2_lattices(c7)). [resolve(93,a,87,b)].
% 0.77/1.06 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(93,a,88,b)].
% 0.77/1.06 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v1_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(93,a,89,b)].
% 0.77/1.06 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(93,a,90,b)].
% 0.77/1.06 94 v4_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.77/1.06 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(94,a,86,b)].
% 0.77/1.06 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_funct_1(u2_lattices(c8)). [resolve(94,a,87,b)].
% 0.77/1.06 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(94,a,88,b)].
% 0.77/1.06 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v1_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(94,a,89,b)].
% 0.77/1.06 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(94,a,90,b)].
% 0.77/1.06 95 v4_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(60)].
% 0.77/1.06 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(95,a,86,b)].
% 0.77/1.06 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_funct_1(u2_lattices(c17)). [resolve(95,a,87,b)].
% 0.77/1.06 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(95,a,88,b)].
% 0.77/1.06 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v1_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(95,a,89,b)].
% 0.77/1.06 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(95,a,90,b)].
% 0.77/1.06 96 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(39)].
% 0.77/1.06 97 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.06 98 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v5_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.77/1.06 99 v3_struct_0(A) | -v5_lattices(A) | -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(fc3_lattice2) # label(axiom). [clausify(39)].
% 0.77/1.06 100 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(39)].
% 0.77/1.06 101 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(39)].
% 0.77/1.06 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(101,b,97,d)].
% 0.77/1.06 102 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(39)].
% 0.77/1.06 103 v5_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(45)].
% 0.77/1.06 Derived: v3_struct_0(c5) | -l2_lattices(c5) | v2_binop_1(u2_lattices(c5),u1_struct_0(c5)). [resolve(103,a,101,b)].
% 0.77/1.06 104 v5_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(46)].
% 0.77/1.06 Derived: v3_struct_0(c6) | -l2_lattices(c6) | v2_binop_1(u2_lattices(c6),u1_struct_0(c6)). [resolve(104,a,101,b)].
% 0.77/1.06 105 v5_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(47)].
% 0.77/1.06 Derived: v3_struct_0(c7) | -l2_lattices(c7) | v2_binop_1(u2_lattices(c7),u1_struct_0(c7)). [resolve(105,a,101,b)].
% 0.77/1.06 106 v5_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.77/1.06 Derived: v3_struct_0(c8) | -l2_lattices(c8) | v2_binop_1(u2_lattices(c8),u1_struct_0(c8)). [resolve(106,a,101,b)].
% 0.77/1.06 107 v5_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(60)].
% 0.77/1.06 Derived: v3_struct_0(c17) | -l2_lattices(c17) | v2_binop_1(u2_lattices(c17),u1_struct_0(c17)). [resolve(107,a,101,b)].
% 0.77/1.06 108 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(41)].
% 0.77/1.06 109 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.77/1.06 110 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v6_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.77/1.06 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(108,b,109,d)].
% 0.77/1.06 111 v3_struct_0(A) | -v6_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc4_lattice2) # label(axiom). [clausify(41)].
% 0.77/1.06 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(111,b,109,d)].
% 0.77/1.06 112 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(41)].
% 0.77/1.06 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(112,b,109,d)].
% 0.77/1.06 113 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(41)].
% 0.77/1.06 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(113,b,109,d)].
% 0.77/1.06 114 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(41)].
% 0.77/1.07 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(114,b,109,d)].
% 0.77/1.07 115 v6_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(45)].
% 0.77/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(115,a,108,b)].
% 0.77/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_funct_1(u1_lattices(c5)). [resolve(115,a,111,b)].
% 0.77/1.07 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(115,a,112,b)].
% 0.77/1.07 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v1_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(115,a,113,b)].
% 0.77/1.07 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(115,a,114,b)].
% 0.77/1.07 116 v6_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(46)].
% 0.77/1.07 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(116,a,108,b)].
% 0.77/1.07 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_funct_1(u1_lattices(c6)). [resolve(116,a,111,b)].
% 0.77/1.07 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(116,a,112,b)].
% 0.77/1.07 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v1_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(116,a,113,b)].
% 0.77/1.07 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(116,a,114,b)].
% 0.77/1.07 117 v6_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(47)].
% 0.77/1.07 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(117,a,108,b)].
% 0.77/1.07 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_funct_1(u1_lattices(c7)). [resolve(117,a,111,b)].
% 0.77/1.07 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(117,a,112,b)].
% 0.77/1.07 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v1_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(117,a,113,b)].
% 0.77/1.07 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(117,a,114,b)].
% 0.77/1.07 118 v6_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.77/1.07 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(118,a,108,b)].
% 0.77/1.07 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_funct_1(u1_lattices(c8)). [resolve(118,a,111,b)].
% 0.77/1.07 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(118,a,112,b)].
% 0.77/1.07 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v1_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(118,a,113,b)].
% 0.77/1.07 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(118,a,114,b)].
% 0.77/1.07 119 v6_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(60)].
% 0.77/1.07 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(119,a,108,b)].
% 0.77/1.07 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_funct_1(u1_lattices(c17)). [resolve(119,a,111,b)].
% 0.77/1.07 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(119,a,112,b)].
% 0.77/1.07 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v1_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(119,a,113,b)].
% 0.77/1.07 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(119,a,114,b)].
% 0.77/1.07 120 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(43)].
% 0.81/1.08 121 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(4)].
% 0.81/1.08 122 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v7_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.81/1.08 123 v3_struct_0(A) | -v7_lattices(A) | -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(fc5_lattice2) # label(axiom). [clausify(43)].
% 0.81/1.08 124 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(43)].
% 0.81/1.08 125 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(43)].
% 0.81/1.08 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(125,b,121,d)].
% 0.81/1.08 126 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(43)].
% 0.81/1.08 127 v7_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(45)].
% 0.81/1.08 Derived: v3_struct_0(c5) | -l1_lattices(c5) | v2_binop_1(u1_lattices(c5),u1_struct_0(c5)). [resolve(127,a,125,b)].
% 0.81/1.08 128 v7_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(46)].
% 0.81/1.08 Derived: v3_struct_0(c6) | -l1_lattices(c6) | v2_binop_1(u1_lattices(c6),u1_struct_0(c6)). [resolve(128,a,125,b)].
% 0.81/1.08 129 v7_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(47)].
% 0.81/1.08 Derived: v3_struct_0(c7) | -l1_lattices(c7) | v2_binop_1(u1_lattices(c7),u1_struct_0(c7)). [resolve(129,a,125,b)].
% 0.81/1.08 130 v7_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.81/1.08 Derived: v3_struct_0(c8) | -l1_lattices(c8) | v2_binop_1(u1_lattices(c8),u1_struct_0(c8)). [resolve(130,a,125,b)].
% 0.81/1.08 131 v7_lattices(c17) # label(rc9_lattices) # label(axiom). [clausify(60)].
% 0.81/1.08 Derived: v3_struct_0(c17) | -l1_lattices(c17) | v2_binop_1(u1_lattices(c17),u1_struct_0(c17)). [resolve(131,a,125,b)].
% 0.81/1.08 132 -v1_relat_1(A) | -v1_xboole_0(A) | -v1_funct_1(A) | v2_funct_1(A) # label(cc2_funct_1) # label(axiom). [clausify(6)].
% 0.81/1.08 133 -m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))) | v1_relat_1(A) # label(cc1_relset_1) # label(axiom). [clausify(5)].
% 0.81/1.08 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(132,a,133,b)].
% 0.81/1.08 134 v1_relat_1(c9) # label(rc1_funct_1) # label(axiom). [clausify(49)].
% 0.81/1.08 Derived: -v1_xboole_0(c9) | -v1_funct_1(c9) | v2_funct_1(c9). [resolve(134,a,132,a)].
% 0.81/1.08 135 v1_relat_1(c11) # label(rc2_funct_1) # label(axiom). [clausify(52)].
% 0.81/1.08 Derived: -v1_xboole_0(c11) | -v1_funct_1(c11) | v2_funct_1(c11). [resolve(135,a,132,a)].
% 0.81/1.08 136 v1_relat_1(c13) # label(rc3_funct_1) # label(axiom). [clausify(55)].
% 0.81/1.08 137 v3_struct_0(A) | -l2_lattices(A) | v1_relat_1(u2_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(86,b,84,d)].
% 0.81/1.08 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(137,c,132,a)].
% 0.81/1.08 138 v3_struct_0(c5) | -l2_lattices(c5) | v1_relat_1(u2_lattices(c5)). [resolve(91,a,86,b)].
% 0.81/1.08 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(138,c,132,a)].
% 0.81/1.08 139 v3_struct_0(c6) | -l2_lattices(c6) | v1_relat_1(u2_lattices(c6)). [resolve(92,a,86,b)].
% 0.81/1.08 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(139,c,132,a)].
% 0.81/1.08 140 v3_struct_0(c7) | -l2_lattices(c7) | v1_relat_1(u2_lattices(c7)). [resolve(93,a,86,b)].
% 0.81/1.08 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(140,c,132,a)].
% 0.81/1.08 141 v3_struct_0(c8) | -l2_lattices(c8) | v1_relat_1(u2_lattices(c8)). [resolve(94,a,86,b)].
% 0.81/1.09 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(141,c,132,a)].
% 0.81/1.09 142 v3_struct_0(c17) | -l2_lattices(c17) | v1_relat_1(u2_lattices(c17)). [resolve(95,a,86,b)].
% 0.81/1.09 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(142,c,132,a)].
% 0.81/1.09 143 v3_struct_0(A) | -l1_lattices(A) | v1_relat_1(u1_lattices(A)) | -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A). [resolve(108,b,109,d)].
% 0.81/1.09 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(143,c,132,a)].
% 0.81/1.09 144 v3_struct_0(c5) | -l1_lattices(c5) | v1_relat_1(u1_lattices(c5)). [resolve(115,a,108,b)].
% 0.81/1.09 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(144,c,132,a)].
% 0.81/1.09 145 v3_struct_0(c6) | -l1_lattices(c6) | v1_relat_1(u1_lattices(c6)). [resolve(116,a,108,b)].
% 0.81/1.09 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(145,c,132,a)].
% 0.81/1.09 146 v3_struct_0(c7) | -l1_lattices(c7) | v1_relat_1(u1_lattices(c7)). [resolve(117,a,108,b)].
% 0.81/1.09 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(146,c,132,a)].
% 0.81/1.09 147 v3_struct_0(c8) | -l1_lattices(c8) | v1_relat_1(u1_lattices(c8)). [resolve(118,a,108,b)].
% 0.81/1.09 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(147,c,132,a)].
% 0.81/1.09 148 v3_struct_0(c17) | -l1_lattices(c17) | v1_relat_1(u1_lattices(c17)). [resolve(119,a,108,b)].
% 0.81/1.09 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(148,c,132,a)].
% 0.81/1.09 149 -l3_lattices(A) | v3_struct_0(A) | -v15_lattices(A) | v13_lattices(A) # label(cc4_lattices) # label(axiom). [clausify(9)].
% 0.81/1.09 150 -l3_lattices(A) | v3_struct_0(A) | -v13_lattices(A) | -v14_lattices(A) | v15_lattices(A) # label(cc3_lattices) # label(axiom). [clausify(8)].
% 0.81/1.09 151 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v13_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.81/1.09 152 v13_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(45)].
% 0.81/1.09 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v14_lattices(c5) | v15_lattices(c5). [resolve(152,a,150,c)].
% 0.81/1.09 153 v13_lattices(c6) # label(rc11_lattices) # label(axiom). [clausify(46)].
% 0.81/1.09 154 v13_lattices(c7) # label(rc12_lattices) # label(axiom). [clausify(47)].
% 0.81/1.09 155 v13_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.81/1.09 156 -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)].
% 0.81/1.09 157 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v11_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.81/1.09 158 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v14_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.81/1.09 159 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v15_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.81/1.09 160 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v16_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 0.81/1.09 Derived: -l3_lattices(A) | v3_struct_0(A) | -v11_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | v14_lattices(A). [resolve(156,f,158,c)].
% 0.81/1.09 161 v17_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.81/1.09 Derived: -l3_lattices(c8) | v3_struct_0(c8) | v11_lattices(c8). [resolve(161,a,157,c)].
% 0.81/1.09 Derived: -l3_lattices(c8) | v3_struct_0(c8) | v14_lattices(c8). [resolve(161,a,158,c)].
% 0.81/1.09 Derived: -l3_lattices(c8) | v3_struct_0(c8) | v15_lattices(c8). [resolve(161,a,159,c)].
% 0.81/1.10 Derived: -l3_lattices(c8) | v3_struct_0(c8) | v16_lattices(c8). [resolve(161,a,160,c)].
% 0.81/1.10 162 v17_lattices(c18) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 0.81/1.10 Derived: -l3_lattices(c18) | v3_struct_0(c18) | v11_lattices(c18). [resolve(162,a,157,c)].
% 0.81/1.10 Derived: -l3_lattices(c18) | v3_struct_0(c18) | v14_lattices(c18). [resolve(162,a,158,c)].
% 0.81/1.10 Derived: -l3_lattices(c18) | v3_struct_0(c18) | v15_lattices(c18). [resolve(162,a,159,c)].
% 0.81/1.10 Derived: -l3_lattices(c18) | v3_struct_0(c18) | v16_lattices(c18). [resolve(162,a,160,c)].
% 0.81/1.10 163 v17_lattices(c19) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 0.81/1.10 Derived: -l3_lattices(c19) | v3_struct_0(c19) | v11_lattices(c19). [resolve(163,a,157,c)].
% 0.81/1.10 Derived: -l3_lattices(c19) | v3_struct_0(c19) | v14_lattices(c19). [resolve(163,a,158,c)].
% 0.81/1.10 Derived: -l3_lattices(c19) | v3_struct_0(c19) | v15_lattices(c19). [resolve(163,a,159,c)].
% 0.81/1.10 Derived: -l3_lattices(c19) | v3_struct_0(c19) | v16_lattices(c19). [resolve(163,a,160,c)].
% 0.81/1.10 164 v11_lattices(c5) # label(rc10_lattices) # label(axiom). [clausify(45)].
% 0.81/1.10 165 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | -v11_lattices(A) | v12_lattices(A) # label(cc7_lattices) # label(axiom). [clausify(12)].
% 0.81/1.10 166 v3_struct_0(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -v10_lattices(A) | -v11_lattices(A) | -v16_lattices(A) | -m1_subset_1(C,u1_struct_0(A)) | k7_lattices(A,B) != C | r2_lattices(A,C,B) # label(d21_lattices) # label(axiom). [clausify(13)].
% 0.81/1.10 167 v3_struct_0(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -v10_lattices(A) | -v11_lattices(A) | -v16_lattices(A) | -m1_subset_1(C,u1_struct_0(A)) | k7_lattices(A,B) = C | -r2_lattices(A,C,B) # label(d21_lattices) # label(axiom). [clausify(13)].
% 0.81/1.10 Derived: v3_struct_0(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -v10_lattices(c5) | -v16_lattices(c5) | -m1_subset_1(B,u1_struct_0(c5)) | k7_lattices(c5,A) != B | r2_lattices(c5,B,A). [resolve(164,a,166,e)].
% 0.81/1.10 Derived: v3_struct_0(c5) | -l3_lattices(c5) | -m1_subset_1(A,u1_struct_0(c5)) | -v10_lattices(c5) | -v16_lattices(c5) | -m1_subset_1(B,u1_struct_0(c5)) | k7_lattices(c5,A) = B | -r2_lattices(c5,B,A). [resolve(164,a,167,e)].
% 0.81/1.10 168 v11_lattices(c8) # label(rc13_lattices) # label(axiom). [clausify(48)].
% 0.81/1.10 Derived: -l3_lattices(c8) | v3_struct_0(c8) | -v10_lattices(c8) | v12_lattices(c8). [resolve(168,a,165,d)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -l3_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -v10_lattices(c8) | -v16_lattices(c8) | -m1_subset_1(B,u1_struct_0(c8)) | k7_lattices(c8,A) != B | r2_lattices(c8,B,A). [resolve(168,a,166,e)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -l3_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -v10_lattices(c8) | -v16_lattices(c8) | -m1_subset_1(B,u1_struct_0(c8)) | k7_lattices(c8,A) = B | -r2_lattices(c8,B,A). [resolve(168,a,167,e)].
% 0.81/1.10 169 -l3_lattices(A) | v3_struct_0(A) | -v11_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | -l3_lattices(A) | v3_struct_0(A) | v14_lattices(A). [resolve(156,f,158,c)].
% 0.81/1.10 Derived: -l3_lattices(c5) | v3_struct_0(c5) | -v15_lattices(c5) | -v16_lattices(c5) | -l3_lattices(c5) | v3_struct_0(c5) | v14_lattices(c5). [resolve(169,c,164,a)].
% 0.81/1.10 170 -l3_lattices(c8) | v3_struct_0(c8) | v11_lattices(c8). [resolve(161,a,157,c)].
% 0.81/1.10 171 -l3_lattices(c18) | v3_struct_0(c18) | v11_lattices(c18). [resolve(162,a,157,c)].
% 0.81/1.10 Derived: -l3_lattices(c18) | v3_struct_0(c18) | -l3_lattices(c18) | v3_struct_0(c18) | -v10_lattices(c18) | v12_lattices(c18). [resolve(171,c,165,d)].
% 0.81/1.10 Derived: -l3_lattices(c18) | v3_struct_0(c18) | v3_struct_0(c18) | -l3_lattices(c18) | -m1_subset_1(A,u1_struct_0(c18)) | -v10_lattices(c18) | -v16_lattices(c18) | -m1_subset_1(B,u1_struct_0(c18)) | k7_lattices(c18,A) != B | r2_lattices(c18,B,A). [resolve(171,c,166,e)].
% 0.81/1.10 Derived: -l3_lattices(c18) | v3_struct_0(c18) | v3_struct_0(c18) | -l3_lattices(c18) | -m1_subset_1(A,u1_struct_0(c18)) | -v10_lattices(c18) | -v16_lattices(c18) | -m1_subset_1(B,u1_struct_0(c18)) | k7_lattices(c18,A) = B | -r2_lattices(c18,B,A). [resolve(171,c,167,e)].
% 0.81/1.10 172 -l3_lattices(c19) | v3_struct_0(c19) | v11_lattices(c19). [resolve(163,a,157,c)].
% 0.81/1.10 Derived: -l3_lattices(c19) | v3_struct_0(c19) | -l3_lattices(c19) | v3_struct_0(c19) | -v10_lattices(c19) | v12_lattices(c19). [resolve(172,c,165,d)].
% 0.81/1.10 Derived: -l3_lattices(c19) | v3_struct_0(c19) | v3_struct_0(c19) | -l3_lattices(c19) | -m1_subset_1(A,u1_struct_0(c19)) | -v10_lattices(c19) | -v16_lattices(c19) | -m1_subset_1(B,u1_struct_0(c19)) | k7_lattices(c19,A) != B | r2_lattices(c19,B,A). [resolve(172,c,166,e)].
% 0.81/1.10 Derived: -l3_lattices(c19) | v3_struct_0(c19) | v3_struct_0(c19) | -l3_lattices(c19) | -m1_subset_1(A,u1_struct_0(c19)) | -v10_lattices(c19) | -v16_lattices(c19) | -m1_subset_1(B,u1_struct_0(c19)) | k7_lattices(c19,A) = B | -r2_lattices(c19,B,A). [resolve(172,c,167,e)].
% 0.81/1.10 173 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(36)].
% 0.81/1.10 174 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(19)].
% 0.81/1.10 175 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(21)].
% 0.81/1.10 176 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(30)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l1_lattices(A). [resolve(173,b,174,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(173,b,175,b)].
% 0.81/1.10 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(173,b,176,a)].
% 0.81/1.10 177 l1_struct_0(c15) # label(rc3_struct_0) # label(axiom). [clausify(57)].
% 0.81/1.10 Derived: v3_struct_0(c15) | -v1_xboole_0(u1_struct_0(c15)). [resolve(177,a,173,b)].
% 0.81/1.10 178 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(58)].
% 0.81/1.10 Derived: v3_struct_0(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) | -l1_lattices(A). [resolve(178,b,174,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | m1_subset_1(f6(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(178,b,175,b)].
% 0.81/1.10 Derived: v3_struct_0(c2) | m1_subset_1(f6(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(178,b,176,a)].
% 0.81/1.10 Derived: v3_struct_0(c15) | m1_subset_1(f6(c15),k1_zfmisc_1(u1_struct_0(c15))). [resolve(178,b,177,a)].
% 0.81/1.10 179 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f6(A)) # label(rc5_struct_0) # label(axiom). [clausify(58)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(f6(A)) | -l1_lattices(A). [resolve(179,b,174,b)].
% 0.81/1.10 Derived: v3_struct_0(A) | -v1_xboole_0(f6(A)) | -l2_lattices(A). [resolve(179,b,175,b)].
% 0.81/1.10 Derived: v3_struct_0(c2) | -v1_xboole_0(f6(c2)). [resolve(179,b,176,a)].
% 0.81/1.10 Derived: v3_struct_0(c15) | -v1_xboole_0(f6(c15)). [resolve(179,b,177,a)].
% 0.81/1.10 180 -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(26)].
% 0.81/1.10 181 -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(25)].
% 0.81/1.10 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(180,b,181,a)].
% 0.81/1.10 182 -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(28)].
% 0.81/1.10 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(182,b,181,a)].
% 0.81/1.10 183 m2_relset_1(f3(A,B),A,B) # label(existence_m2_relset_1) # label(axiom). [clausify(35)].
% 0.81/1.10 Derived: m1_subset_1(f3(A,B),k1_zfmisc_1(k2_zfmisc_1(A,B))). [resolve(183,a,181,a)].
% 0.81/1.10 184 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(61)].
% 0.81/1.10 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(184,a,180,b)].
% 0.81/1.10 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(184,a,182,b)].
% 0.81/1.10 Derived: m1_relset_1(f3(A,B),A,B). [resolve(184,a,183,a)].
% 0.81/1.10 185 m2_relset_1(A,B,C) | -m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(61)].
% 5.20/5.48 Derived: -m1_relset_1(A,B,C) | m1_subset_1(A,k1_zfmisc_1(k2_zfmisc_1(B,C))). [resolve(185,a,181,a)].
% 5.20/5.48 186 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(66)].
% 5.20/5.48 187 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(62)].
% 5.20/5.48 188 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(66)].
% 5.20/5.48 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(186,b,187,a)].
% 5.20/5.48
% 5.20/5.48 ============================== end predicate elimination =============
% 5.20/5.48
% 5.20/5.48 Auto_denials: (non-Horn, no changes).
% 5.20/5.48
% 5.20/5.48 Term ordering decisions:
% 5.20/5.48 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. c19=1. c20=1. c21=1. k2_zfmisc_1=1. k7_lattices=1. f1=1. f3=1. u1_struct_0=1. u1_lattices=1. u2_lattices=1. k1_zfmisc_1=1. f2=1. f4=1. f5=1. f6=1. g3_lattices=1.
% 5.20/5.48
% 5.20/5.48 ============================== end of process initial clauses ========
% 5.20/5.48
% 5.20/5.48 ============================== CLAUSES FOR SEARCH ====================
% 5.20/5.48
% 5.20/5.48 ============================== end of clauses for search =============
% 5.20/5.48
% 5.20/5.48 ============================== SEARCH ================================
% 5.20/5.48
% 5.20/5.48 % Starting search at 0.12 seconds.
% 5.20/5.48
% 5.20/5.48 NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 611 (0.00 of 0.26 sec).
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=63.000, iters=3519
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=59.000, iters=3488
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=51.000, iters=3566
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=47.000, iters=3867
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=39.000, iters=3677
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=38.000, iters=3630
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=36.000, iters=3343
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=35.000, iters=3340
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=34.000, iters=4316
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=33.000, iters=5088
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=32.000, iters=4707
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=28.000, iters=3458
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=27.000, iters=4015
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=26.000, iters=3685
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=17531, wt=29.000
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=17577, wt=28.000
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=25.000, iters=3657
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=17789, wt=27.000
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=18171, wt=25.000
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=18548, wt=24.000
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=18580, wt=23.000
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=18827, wt=21.000
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=19080, wt=20.000
% 5.20/5.48
% 5.20/5.48 Low Water (keep): wt=24.000, iters=3519
% 5.20/5.48
% 5.20/5.48 Low Water (displace): id=19672, wt=18.000
% 5.20/5.48
% 5.20/5.48 ============================== PROOF =================================
% 5.20/5.48 % SZS status Theorem
% 5.20/5.48 % SZS output start Refutation
% 5.20/5.48
% 5.20/5.48 % Proof 1 at 4.40 (+ 0.05) seconds.
% 5.20/5.48 % Length of proof is 89.
% 5.20/5.48 % Level of proof is 14.
% 5.20/5.48 % Maximum clause weight is 65.000.
% 5.20/5.48 % Given clauses 5866.
% 5.20/5.48
% 5.20/5.48 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].
% 5.20/5.48 13 (all A (-v3_struct_0(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (-v3_struct_0(A) & v10_lattices(A) & v11_lattices(A) & v16_lattices(A) & l3_lattices(A) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (C = k7_lattices(A,B) <-> r2_lattices(A,C,B))))))))) # label(d21_lattices) # label(axiom) # label(non_clause). [assumption].
% 5.20/5.48 18 (all A all B (-v3_struct_0(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_subset_1(k7_lattices(A,B),u1_struct_0(A)))) # label(dt_k7_lattices) # label(axiom) # label(non_clause). [assumption].
% 5.20/5.48 22 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 5.20/5.48 26 (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].
% 5.20/5.48 28 (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].
% 5.20/5.48 44 (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].
% 5.20/5.48 61 (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].
% 5.20/5.48 63 (all A (-v3_struct_0(A) & v10_lattices(A) & v15_lattices(A) & v16_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & v15_lattices(B) & v16_lattices(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (all E (m1_subset_1(E,u1_struct_0(B)) -> (all F (m1_subset_1(F,u1_struct_0(B)) -> (C = E & D = F & r2_lattices(A,C,D) -> r2_lattices(B,E,F))))))))))))))) # label(t11_filter_2) # label(axiom) # label(non_clause). [assumption].
% 5.20/5.48 72 -(all A (-v3_struct_0(A) & v10_lattices(A) & v17_lattices(A) & l3_lattices(A) -> (all B (-v3_struct_0(B) & v10_lattices(B) & v17_lattices(B) & l3_lattices(B) -> (g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) = g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(B)) -> (C = D -> k7_lattices(A,C) = k7_lattices(B,D))))))))))) # label(t12_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 5.20/5.48 157 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v11_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 5.20/5.48 159 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v15_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 5.20/5.48 160 -l3_lattices(A) | v3_struct_0(A) | -v17_lattices(A) | v16_lattices(A) # label(cc5_lattices) # label(axiom). [clausify(10)].
% 5.20/5.48 162 v17_lattices(c18) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 163 v17_lattices(c19) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 166 v3_struct_0(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -v10_lattices(A) | -v11_lattices(A) | -v16_lattices(A) | -m1_subset_1(C,u1_struct_0(A)) | k7_lattices(A,B) != C | r2_lattices(A,C,B) # label(d21_lattices) # label(axiom). [clausify(13)].
% 5.20/5.48 167 v3_struct_0(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -v10_lattices(A) | -v11_lattices(A) | -v16_lattices(A) | -m1_subset_1(C,u1_struct_0(A)) | k7_lattices(A,B) = C | -r2_lattices(A,C,B) # label(d21_lattices) # label(axiom). [clausify(13)].
% 5.20/5.48 171 -l3_lattices(c18) | v3_struct_0(c18) | v11_lattices(c18). [resolve(162,a,157,c)].
% 5.20/5.48 172 -l3_lattices(c19) | v3_struct_0(c19) | v11_lattices(c19). [resolve(163,a,157,c)].
% 5.20/5.48 180 -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(26)].
% 5.20/5.48 182 -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(28)].
% 5.20/5.48 184 -m2_relset_1(A,B,C) | m1_relset_1(A,B,C) # label(redefinition_m2_relset_1) # label(axiom). [clausify(61)].
% 5.20/5.48 193 v3_struct_0(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_subset_1(k7_lattices(A,B),u1_struct_0(A)) # label(dt_k7_lattices) # label(axiom). [clausify(18)].
% 5.20/5.48 194 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(22)].
% 5.20/5.48 195 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(22)].
% 5.20/5.48 196 -l1_lattices(A) | v1_funct_1(u1_lattices(A)) # label(dt_u1_lattices) # label(axiom). [clausify(26)].
% 5.20/5.48 197 -l1_lattices(A) | v1_funct_2(u1_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u1_lattices) # label(axiom). [clausify(26)].
% 5.20/5.48 198 -l2_lattices(A) | v1_funct_1(u2_lattices(A)) # label(dt_u2_lattices) # label(axiom). [clausify(28)].
% 5.20/5.48 199 -l2_lattices(A) | v1_funct_2(u2_lattices(A),k2_zfmisc_1(u1_struct_0(A),u1_struct_0(A)),u1_struct_0(A)) # label(dt_u2_lattices) # label(axiom). [clausify(28)].
% 5.20/5.48 209 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | D = B # label(free_g3_lattices) # label(axiom). [clausify(44)].
% 5.20/5.48 210 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | E = A # label(free_g3_lattices) # label(axiom). [clausify(44)].
% 5.20/5.48 211 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(B,B),B) | -m1_relset_1(A,k2_zfmisc_1(B,B),B) | -v1_funct_1(C) | -v1_funct_2(C,k2_zfmisc_1(B,B),B) | -m1_relset_1(C,k2_zfmisc_1(B,B),B) | g3_lattices(D,E,F) != g3_lattices(B,A,C) | F = C # label(free_g3_lattices) # label(axiom). [clausify(44)].
% 5.20/5.48 250 v3_struct_0(A) | -v10_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | -l3_lattices(A) | v3_struct_0(B) | -v10_lattices(B) | -v15_lattices(B) | -v16_lattices(B) | -l3_lattices(B) | g3_lattices(u1_struct_0(B),u2_lattices(B),u1_lattices(B)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -m1_subset_1(E,u1_struct_0(B)) | -m1_subset_1(F,u1_struct_0(B)) | E != C | F != D | -r2_lattices(A,C,D) | r2_lattices(B,E,F) # label(t11_filter_2) # label(axiom). [clausify(63)].
% 5.20/5.48 258 -v3_struct_0(c18) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 259 v10_lattices(c18) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 260 l3_lattices(c18) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 261 -v3_struct_0(c19) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 262 v10_lattices(c19) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 263 l3_lattices(c19) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 264 g3_lattices(u1_struct_0(c19),u2_lattices(c19),u1_lattices(c19)) = g3_lattices(u1_struct_0(c18),u2_lattices(c18),u1_lattices(c18)) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 265 m1_subset_1(c20,u1_struct_0(c18)) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 266 m1_subset_1(c21,u1_struct_0(c19)) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 267 c21 = c20 # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 268 k7_lattices(c19,c21) != k7_lattices(c18,c20) # label(t12_filter_2) # label(negated_conjecture). [clausify(72)].
% 5.20/5.48 269 k7_lattices(c19,c20) != k7_lattices(c18,c20). [copy(268),rewrite([267(2)])].
% 5.20/5.48 316 -l3_lattices(c18) | v3_struct_0(c18) | v15_lattices(c18). [resolve(162,a,159,c)].
% 5.20/5.48 317 v15_lattices(c18). [copy(316),unit_del(a,260),unit_del(b,258)].
% 5.20/5.48 318 -l3_lattices(c18) | v3_struct_0(c18) | v16_lattices(c18). [resolve(162,a,160,c)].
% 5.20/5.48 319 v16_lattices(c18). [copy(318),unit_del(a,260),unit_del(b,258)].
% 5.20/5.48 322 -l3_lattices(c19) | v3_struct_0(c19) | v15_lattices(c19). [resolve(163,a,159,c)].
% 5.20/5.48 323 v15_lattices(c19). [copy(322),unit_del(a,263),unit_del(b,261)].
% 5.20/5.48 324 -l3_lattices(c19) | v3_struct_0(c19) | v16_lattices(c19). [resolve(163,a,160,c)].
% 5.20/5.48 325 v16_lattices(c19). [copy(324),unit_del(a,263),unit_del(b,261)].
% 5.20/5.48 337 -l3_lattices(c18) | v3_struct_0(c18) | v3_struct_0(c18) | -l3_lattices(c18) | -m1_subset_1(A,u1_struct_0(c18)) | -v10_lattices(c18) | -v16_lattices(c18) | -m1_subset_1(B,u1_struct_0(c18)) | k7_lattices(c18,A) = B | -r2_lattices(c18,B,A). [resolve(171,c,167,e)].
% 5.20/5.48 338 -m1_subset_1(A,u1_struct_0(c18)) | -m1_subset_1(B,u1_struct_0(c18)) | k7_lattices(c18,A) = B | -r2_lattices(c18,B,A). [copy(337),merge(c),merge(d),unit_del(a,260),unit_del(b,258),unit_del(d,259),unit_del(e,319)].
% 5.20/5.48 339 -l3_lattices(c19) | v3_struct_0(c19) | v3_struct_0(c19) | -l3_lattices(c19) | -m1_subset_1(A,u1_struct_0(c19)) | -v10_lattices(c19) | -v16_lattices(c19) | -m1_subset_1(B,u1_struct_0(c19)) | k7_lattices(c19,A) != B | r2_lattices(c19,B,A). [resolve(172,c,166,e)].
% 5.20/5.48 340 -m1_subset_1(A,u1_struct_0(c19)) | -m1_subset_1(B,u1_struct_0(c19)) | k7_lattices(c19,A) != B | r2_lattices(c19,B,A). [copy(339),merge(c),merge(d),unit_del(a,263),unit_del(b,261),unit_del(d,262),unit_del(e,325)].
% 5.20/5.48 361 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(184,a,180,b)].
% 5.20/5.48 362 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(184,a,182,b)].
% 5.20/5.48 383 m1_subset_1(c20,u1_struct_0(c19)). [back_rewrite(266),rewrite([267(1)])].
% 5.20/5.48 384 k7_lattices(c19,c20) = c_0. [new_symbol(269)].
% 5.20/5.48 411 k7_lattices(c18,c20) != c_0. [back_rewrite(269),rewrite([384(3)]),flip(a)].
% 5.20/5.48 459 l2_lattices(c18). [resolve(260,a,195,a)].
% 5.20/5.48 460 l1_lattices(c18). [resolve(260,a,194,a)].
% 5.20/5.48 613 -m1_subset_1(A,u1_struct_0(c19)) | c_0 != A | r2_lattices(c19,A,c20). [resolve(383,a,340,a),rewrite([384(6)])].
% 5.20/5.48 615 m1_subset_1(c_0,u1_struct_0(c19)). [resolve(383,a,193,c),rewrite([384(7)]),unit_del(a,261),unit_del(b,263)].
% 5.20/5.48 711 m1_relset_1(u2_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(459,a,362,b)].
% 5.20/5.48 716 v1_funct_2(u2_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(459,a,199,a)].
% 5.20/5.48 717 v1_funct_1(u2_lattices(c18)). [resolve(459,a,198,a)].
% 5.20/5.48 719 m1_relset_1(u1_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(460,a,361,b)].
% 5.20/5.48 721 v1_funct_2(u1_lattices(c18),k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)). [resolve(460,a,197,a)].
% 5.20/5.48 722 v1_funct_1(u1_lattices(c18)). [resolve(460,a,196,a)].
% 5.20/5.48 2022 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | g3_lattices(u1_struct_0(c18),u2_lattices(c18),A) != g3_lattices(B,C,D) | D = A. [resolve(711,a,211,c),flip(f),unit_del(a,717),unit_del(b,716)].
% 5.20/5.48 2024 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | g3_lattices(u1_struct_0(c18),u2_lattices(c18),A) != g3_lattices(B,C,D) | u2_lattices(c18) = C. [resolve(711,a,210,c),flip(f),flip(g),unit_del(a,717),unit_del(b,716)].
% 5.20/5.48 2026 -v1_funct_1(A) | -v1_funct_2(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | -m1_relset_1(A,k2_zfmisc_1(u1_struct_0(c18),u1_struct_0(c18)),u1_struct_0(c18)) | g3_lattices(u1_struct_0(c18),u2_lattices(c18),A) != g3_lattices(B,C,D) | u1_struct_0(c18) = B. [resolve(711,a,209,c),flip(f),flip(g),unit_del(a,717),unit_del(b,716)].
% 5.20/5.48 2576 r2_lattices(c19,c_0,c20). [resolve(613,a,615,a),xx(a)].
% 5.20/5.48 2585 v3_struct_0(A) | -v10_lattices(A) | -v15_lattices(A) | -v16_lattices(A) | -l3_lattices(A) | g3_lattices(u1_struct_0(c18),u2_lattices(c18),u1_lattices(c18)) != g3_lattices(u1_struct_0(A),u2_lattices(A),u1_lattices(A)) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | c_0 != B | c20 != C | r2_lattices(A,B,C). [resolve(2576,a,250,r),rewrite([264(26)]),flip(k),flip(p),flip(q),unit_del(a,261),unit_del(b,262),unit_del(c,323),unit_del(d,325),unit_del(e,263),unit_del(l,615),unit_del(m,383)].
% 5.20/5.48 13672 g3_lattices(u1_struct_0(c18),u2_lattices(c18),u1_lattices(c18)) != g3_lattices(A,B,C) | u1_lattices(c18) = C. [resolve(2022,c,719,a),flip(d),unit_del(a,722),unit_del(b,721)].
% 5.20/5.48 13674 u1_lattices(c19) = u1_lattices(c18). [resolve(13672,a,264,a(flip)),flip(a)].
% 5.20/5.48 13781 g3_lattices(u1_struct_0(c19),u2_lattices(c19),u1_lattices(c18)) = g3_lattices(u1_struct_0(c18),u2_lattices(c18),u1_lattices(c18)). [back_rewrite(264),rewrite([13674(6)])].
% 5.20/5.48 13782 g3_lattices(u1_struct_0(c18),u2_lattices(c18),u1_lattices(c18)) != g3_lattices(A,B,C) | u2_lattices(c18) = B. [resolve(2024,c,719,a),unit_del(a,722),unit_del(b,721)].
% 5.20/5.48 13784 g3_lattices(u1_struct_0(c18),u2_lattices(c18),u1_lattices(c18)) != g3_lattices(A,B,C) | u1_struct_0(c18) = A. [resolve(2026,c,719,a),unit_del(a,722),unit_del(b,721)].
% 5.20/5.48 13908 u2_lattices(c19) = u2_lattices(c18). [resolve(13782,a,13781,a(flip)),flip(a)].
% 5.20/5.48 13916 g3_lattices(u1_struct_0(c19),u2_lattices(c18),u1_lattices(c18)) = g3_lattices(u1_struct_0(c18),u2_lattices(c18),u1_lattices(c18)). [back_rewrite(13781),rewrite([13908(4)])].
% 5.20/5.48 14007 u1_struct_0(c19) = u1_struct_0(c18). [resolve(13784,a,13916,a(flip)),flip(a)].
% 5.20/5.48 15340 m1_subset_1(c_0,u1_struct_0(c18)). [back_rewrite(615),rewrite([14007(3)])].
% 5.20/5.48 19670 -m1_subset_1(A,u1_struct_0(c18)) | c20 != A | r2_lattices(c18,c_0,A). [resolve(2585,g,15340,a),xx(f),xx(h),unit_del(a,258),unit_del(b,259),unit_del(c,317),unit_del(d,319),unit_del(e,260)].
% 5.20/5.48 19913 r2_lattices(c18,c_0,c20). [resolve(19670,a,265,a),xx(a)].
% 5.20/5.48 19917 $F. [resolve(19913,a,338,d),unit_del(a,265),unit_del(b,15340),unit_del(c,411)].
% 5.20/5.48
% 5.20/5.48 % SZS output end Refutation
% 5.20/5.48 ============================== end of proof ==========================
% 5.20/5.48
% 5.20/5.48 ============================== STATISTICS ============================
% 5.20/5.48
% 5.20/5.48 Given=5866. Generated=50690. Kept=19674. proofs=1.
% 5.20/5.48 Usable=5153. Sos=9999. Demods=88. Limbo=2, Disabled=4857. Hints=0.
% 5.20/5.48 Megabytes=32.33.
% 5.20/5.48 User_CPU=4.40, System_CPU=0.05, Wall_clock=4.
% 5.20/5.48
% 5.20/5.48 ============================== end of statistics =====================
% 5.20/5.48
% 5.20/5.48 ============================== end of search =========================
% 5.20/5.48
% 5.20/5.48 THEOREM PROVED
% 5.20/5.48 % SZS status Theorem
% 5.20/5.48
% 5.20/5.48 Exiting with 1 proof.
% 5.20/5.48
% 5.20/5.48 Process 20916 exit (max_proofs) Wed Jun 29 09:26:20 2022
% 5.20/5.48 Prover9 interrupted
%------------------------------------------------------------------------------