TSTP Solution File: LAT329+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT329+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_prover9 %d %s
% Computer : n008.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 06:27:38 EDT 2022
% Result : Timeout 300.06s 300.32s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT329+1 : TPTP v8.1.0. Released v3.4.0.
% 0.12/0.14 % Command : tptp2X_and_run_prover9 %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 29 18:45:53 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.46/1.06 ============================== Prover9 ===============================
% 0.46/1.06 Prover9 (32) version 2009-11A, November 2009.
% 0.46/1.06 Process 21422 was started by sandbox2 on n008.cluster.edu,
% 0.46/1.06 Wed Jun 29 18:45:53 2022
% 0.46/1.06 The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 300 -f /tmp/Prover9_21269_n008.cluster.edu".
% 0.46/1.06 ============================== end of head ===========================
% 0.46/1.06
% 0.46/1.06 ============================== INPUT =================================
% 0.46/1.06
% 0.46/1.06 % Reading from file /tmp/Prover9_21269_n008.cluster.edu
% 0.46/1.06
% 0.46/1.06 set(prolog_style_variables).
% 0.46/1.06 set(auto2).
% 0.46/1.06 % set(auto2) -> set(auto).
% 0.46/1.06 % set(auto) -> set(auto_inference).
% 0.46/1.06 % set(auto) -> set(auto_setup).
% 0.46/1.06 % set(auto_setup) -> set(predicate_elim).
% 0.46/1.06 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.46/1.06 % set(auto) -> set(auto_limits).
% 0.46/1.06 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.46/1.06 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.46/1.06 % set(auto) -> set(auto_denials).
% 0.46/1.06 % set(auto) -> set(auto_process).
% 0.46/1.06 % set(auto2) -> assign(new_constants, 1).
% 0.46/1.06 % set(auto2) -> assign(fold_denial_max, 3).
% 0.46/1.06 % set(auto2) -> assign(max_weight, "200.000").
% 0.46/1.06 % set(auto2) -> assign(max_hours, 1).
% 0.46/1.06 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.46/1.06 % set(auto2) -> assign(max_seconds, 0).
% 0.46/1.06 % set(auto2) -> assign(max_minutes, 5).
% 0.46/1.06 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.46/1.06 % set(auto2) -> set(sort_initial_sos).
% 0.46/1.06 % set(auto2) -> assign(sos_limit, -1).
% 0.46/1.06 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.46/1.06 % set(auto2) -> assign(max_megs, 400).
% 0.46/1.06 % set(auto2) -> assign(stats, some).
% 0.46/1.06 % set(auto2) -> clear(echo_input).
% 0.46/1.06 % set(auto2) -> set(quiet).
% 0.46/1.06 % set(auto2) -> clear(print_initial_clauses).
% 0.46/1.06 % set(auto2) -> clear(print_given).
% 0.46/1.06 assign(lrs_ticks,-1).
% 0.46/1.06 assign(sos_limit,10000).
% 0.46/1.06 assign(order,kbo).
% 0.46/1.06 set(lex_order_vars).
% 0.46/1.06 clear(print_given).
% 0.46/1.06
% 0.46/1.06 % formulas(sos). % not echoed (61 formulas)
% 0.46/1.06
% 0.46/1.06 ============================== end of input ==========================
% 0.46/1.06
% 0.46/1.06 % From the command line: assign(max_seconds, 300).
% 0.46/1.06
% 0.46/1.06 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.46/1.06
% 0.46/1.06 % Formulas that are not ordinary clauses:
% 0.46/1.06 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 2 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 3 (all A (l3_lattices(A) -> (-v3_struct_0(A) & v10_lattices(A) -> -v3_struct_0(A) & v4_lattices(A) & v5_lattices(A) & v6_lattices(A) & v7_lattices(A) & v8_lattices(A) & v9_lattices(A)))) # label(cc1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 4 (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].
% 0.46/1.06 5 (all A (-v1_xboole_0(A) -> (all B (m1_subset_1(B,k1_zfmisc_1(A)) -> (all C (m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) <-> (all D (m1_subset_1(D,A) -> (r2_hidden(D,B) <-> r2_hidden(D,C))))))))))) # label(d1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 6 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k2_filter_0(A,B) = a_2_0_filter_0(A,B))))) # label(d3_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 7 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 8 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 9 (all A all B all C (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> -v1_xboole_0(k22_filter_2(A,B,C)) & m2_lattice4(k22_filter_2(A,B,C),A))) # label(dt_k22_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 10 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_0(k2_filter_0(A,B),A))) # label(dt_k2_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 11 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m1_filter_2(k2_filter_2(A,B),A))) # label(dt_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 12 (all A (-v3_struct_0(A) & l2_lattices(A) -> m1_subset_1(k6_lattices(A),u1_struct_0(A)))) # label(dt_k6_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 13 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 14 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 15 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 16 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 17 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_0(B,A) -> -v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 18 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 19 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 20 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_lattice4(B,A) -> m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))))))) # label(dt_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 21 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 22 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 23 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 24 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 25 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 26 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_0(B,A)))) # label(existence_m1_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 27 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m1_filter_2(B,A)))) # label(existence_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 28 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 29 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_lattice4(B,A)))) # label(existence_m2_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 30 (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].
% 0.46/1.06 31 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 32 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_0(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,C,D)))))) # label(fraenkel_a_2_0_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 33 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B (m2_lattice4(B,A) & -v1_xboole_0(B))))) # label(rc1_lattice4) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 34 (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].
% 0.46/1.06 35 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 36 (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].
% 0.46/1.06 37 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.06 38 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 39 (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].
% 0.46/1.07 40 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> k2_filter_2(A,B) = k2_filter_0(A,B))) # label(redefinition_k2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 41 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_filter_2(B,A) <-> m1_filter_0(B,A))))) # label(redefinition_m1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 42 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) <-> B = C))) # label(redefinition_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 43 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> (r3_lattices(A,B,C) <-> r1_lattices(A,B,C)))) # label(redefinition_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 44 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> r1_filter_2(A,B,B))) # label(reflexivity_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 45 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 46 (all A all B all C (-v3_struct_0(A) & v6_lattices(A) & v8_lattices(A) & v9_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) & m1_subset_1(C,u1_struct_0(A)) -> r3_lattices(A,B,B))) # label(reflexivity_r3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 47 (all A all B all C (-v1_xboole_0(A) & m1_subset_1(B,k1_zfmisc_1(A)) & m1_subset_1(C,k1_zfmisc_1(A)) -> (r1_filter_2(A,B,C) -> r1_filter_2(A,C,B)))) # label(symmetry_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 48 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (r2_hidden(B,k2_filter_0(A,C)) <-> r3_lattices(A,C,B)))))))) # label(t18_filter_0) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 49 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 50 (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].
% 0.46/1.07 51 (all A all B ((all C (r2_hidden(C,A) <-> r2_hidden(C,B))) -> A = B)) # label(t2_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 52 (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].
% 0.46/1.07 53 (all A (-v3_struct_0(A) & v10_lattices(A) & v14_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r3_lattices(A,B,k6_lattices(A)))))) # label(t45_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 54 (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].
% 0.46/1.07 55 (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].
% 0.46/1.07 56 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (all C (m1_subset_1(C,u1_struct_0(A)) -> (all D (m1_subset_1(D,u1_struct_0(A)) -> (r3_lattices(A,B,C) -> (r2_hidden(D,k22_filter_2(A,B,C)) <-> r3_lattices(A,B,D) & r3_lattices(A,D,C))))))))))) # label(t63_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 57 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 58 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 59 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.46/1.07 60 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v14_lattices(A) -> r1_filter_2(u1_struct_0(A),k2_filter_2(A,B),k22_filter_2(A,B,k6_lattices(A)))))))) # label(t66_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.46/1.07
% 0.46/1.07 ============================== end of process non-clausal formulas ===
% 0.46/1.07
% 0.46/1.07 ============================== PROCESS INITIAL CLAUSES ===============
% 0.46/1.07
% 0.46/1.07 ============================== PREDICATE ELIMINATION =================
% 0.46/1.07 61 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(13)].
% 0.46/1.07 62 l1_lattices(c1) # label(existence_l1_lattices) # label(axiom). [clausify(22)].
% 0.46/1.07 Derived: l1_struct_0(c1). [resolve(61,a,62,a)].
% 0.46/1.07 63 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(16)].
% 0.46/1.07 Derived: -l3_lattices(A) | l1_struct_0(A). [resolve(63,b,61,a)].
% 0.46/1.07 64 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(30)].
% 0.46/1.07 65 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(23)].
% 0.46/1.07 66 l1_struct_0(c7) # label(rc3_struct_0) # label(axiom). [clausify(38)].
% 0.46/1.07 67 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(15)].
% 0.46/1.07 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(64,b,65,a)].
% 0.46/1.07 Derived: v3_struct_0(c7) | -v1_xboole_0(u1_struct_0(c7)). [resolve(64,b,66,a)].
% 0.46/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(64,b,67,b)].
% 0.46/1.07 68 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f10(A)) # label(rc5_struct_0) # label(axiom). [clausify(39)].
% 0.46/1.07 Derived: v3_struct_0(c2) | -v1_xboole_0(f10(c2)). [resolve(68,b,65,a)].
% 0.46/1.07 Derived: v3_struct_0(c7) | -v1_xboole_0(f10(c7)). [resolve(68,b,66,a)].
% 0.46/1.07 Derived: v3_struct_0(A) | -v1_xboole_0(f10(A)) | -l2_lattices(A). [resolve(68,b,67,b)].
% 0.46/1.07 69 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(39)].
% 0.46/1.07 Derived: v3_struct_0(c2) | m1_subset_1(f10(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(69,b,65,a)].
% 0.46/1.07 Derived: v3_struct_0(c7) | m1_subset_1(f10(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(69,b,66,a)].
% 0.46/1.07 Derived: v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(69,b,67,b)].
% 0.46/1.07 70 l1_struct_0(c1). [resolve(61,a,62,a)].
% 0.46/1.07 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(70,a,64,b)].
% 0.46/1.07 Derived: v3_struct_0(c1) | -v1_xboole_0(f10(c1)). [resolve(70,a,68,b)].
% 0.46/1.07 Derived: v3_struct_0(c1) | m1_subset_1(f10(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(70,a,69,b)].
% 0.46/1.07 71 -l3_lattices(A) | l1_struct_0(A). [resolve(63,b,61,a)].
% 0.46/1.07 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(71,b,64,b)].
% 0.46/1.07 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f10(A)). [resolve(71,b,68,b)].
% 0.46/1.07 Derived: -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(71,b,69,b)].
% 0.46/1.07 72 v3_struct_0(A) | -l2_lattices(A) | m1_subset_1(k6_lattices(A),u1_struct_0(A)) # label(dt_k6_lattices) # label(axiom). [clausify(12)].
% 0.46/1.07 73 l2_lattices(c3) # label(existence_l2_lattices) # label(axiom). [clausify(24)].
% 0.46/1.07 74 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(16)].
% 0.46/1.07 Derived: v3_struct_0(c3) | m1_subset_1(k6_lattices(c3),u1_struct_0(c3)). [resolve(72,b,73,a)].
% 0.46/1.07 Derived: v3_struct_0(A) | m1_subset_1(k6_lattices(A),u1_struct_0(A)) | -l3_lattices(A). [resolve(72,b,74,b)].
% 0.46/1.07 75 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(64,b,67,b)].
% 0.46/1.07 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(75,c,73,a)].
% 0.46/1.07 76 v3_struct_0(A) | -v1_xboole_0(f10(A)) | -l2_lattices(A). [resolve(68,b,67,b)].
% 0.46/1.07 Derived: v3_struct_0(c3) | -v1_xboole_0(f10(c3)). [resolve(76,c,73,a)].
% 0.46/1.07 77 v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(69,b,67,b)].
% 0.46/1.07 Derived: v3_struct_0(c3) | m1_subset_1(f10(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(77,c,73,a)].
% 0.46/1.07 78 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.46/1.07 79 l3_lattices(c4) # label(existence_l3_lattices) # label(axiom). [clausify(25)].
% 0.46/1.07 80 l3_lattices(c8) # label(t66_filter_2) # label(negated_conjecture). [clausify(60)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v4_lattices(c4). [resolve(78,a,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v4_lattices(c8). [resolve(78,a,80,a)].
% 0.46/1.07 81 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v5_lattices(c4). [resolve(81,a,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v5_lattices(c8). [resolve(81,a,80,a)].
% 0.46/1.07 82 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v6_lattices(c4). [resolve(82,a,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v6_lattices(c8). [resolve(82,a,80,a)].
% 0.46/1.07 83 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v7_lattices(c4). [resolve(83,a,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v7_lattices(c8). [resolve(83,a,80,a)].
% 0.46/1.07 84 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v8_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v8_lattices(c4). [resolve(84,a,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v8_lattices(c8). [resolve(84,a,80,a)].
% 0.46/1.07 85 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v9_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v9_lattices(c4). [resolve(85,a,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v9_lattices(c8). [resolve(85,a,80,a)].
% 0.46/1.07 86 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f7(A)) # label(rc1_lattice4) # label(axiom). [clausify(33)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -v1_xboole_0(f7(c4)). [resolve(86,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -v1_xboole_0(f7(c8)). [resolve(86,c,80,a)].
% 0.46/1.07 87 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_0(f2(A),A) # label(existence_m1_filter_0) # label(axiom). [clausify(26)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m1_filter_0(f2(c4),c4). [resolve(87,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m1_filter_0(f2(c8),c8). [resolve(87,c,80,a)].
% 0.46/1.07 88 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(f3(A),A) # label(existence_m1_filter_2) # label(axiom). [clausify(27)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m1_filter_2(f3(c4),c4). [resolve(88,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m1_filter_2(f3(c8),c8). [resolve(88,c,80,a)].
% 0.46/1.07 89 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f5(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(29)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f5(c4),c4). [resolve(89,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f5(c8),c8). [resolve(89,c,80,a)].
% 0.46/1.07 90 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f7(A),A) # label(rc1_lattice4) # label(axiom). [clausify(33)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f7(c4),c4). [resolve(90,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f7(c8),c8). [resolve(90,c,80,a)].
% 0.46/1.07 91 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_0) # label(axiom). [clausify(17)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_filter_0(A,c4) | -v1_xboole_0(A). [resolve(91,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_filter_0(A,c8) | -v1_xboole_0(A). [resolve(91,c,80,a)].
% 0.46/1.07 92 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m1_filter_2) # label(axiom). [clausify(18)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_filter_2(A,c4) | -v1_xboole_0(A). [resolve(92,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_filter_2(A,c8) | -v1_xboole_0(A). [resolve(92,c,80,a)].
% 0.46/1.07 93 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m1_filter_2) # label(axiom). [clausify(18)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_filter_2(A,c4) | m2_lattice4(A,c4). [resolve(93,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_filter_2(A,c8) | m2_lattice4(A,c8). [resolve(93,c,80,a)].
% 0.46/1.07 94 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_2(B,A) | m1_filter_0(B,A) # label(redefinition_m1_filter_2) # label(axiom). [clausify(41)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_filter_2(A,c4) | m1_filter_0(A,c4). [resolve(94,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_filter_2(A,c8) | m1_filter_0(A,c8). [resolve(94,c,80,a)].
% 0.46/1.07 95 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m1_filter_2(B,A) | -m1_filter_0(B,A) # label(redefinition_m1_filter_2) # label(axiom). [clausify(41)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m1_filter_2(A,c4) | -m1_filter_0(A,c4). [resolve(95,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m1_filter_2(A,c8) | -m1_filter_0(A,c8). [resolve(95,c,80,a)].
% 0.46/1.07 96 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_filter_0(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m1_filter_0) # label(axiom). [clausify(17)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_filter_0(A,c4) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))). [resolve(96,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_filter_0(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [resolve(96,c,80,a)].
% 0.46/1.07 97 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_lattice4(B,A) | m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A))) # label(dt_m2_lattice4) # label(axiom). [clausify(20)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_lattice4(A,c4) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))). [resolve(97,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [resolve(97,c,80,a)].
% 0.46/1.07 98 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_0(k2_filter_0(A,B),A) # label(dt_k2_filter_0) # label(axiom). [clausify(10)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | m1_filter_0(k2_filter_0(c4,A),c4). [resolve(98,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | m1_filter_0(k2_filter_0(c8,A),c8). [resolve(98,c,80,a)].
% 0.46/1.07 99 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m1_filter_2(k2_filter_2(A,B),A) # label(dt_k2_filter_2) # label(axiom). [clausify(11)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | m1_filter_2(k2_filter_2(c4,A),c4). [resolve(99,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | m1_filter_2(k2_filter_2(c8,A),c8). [resolve(99,c,80,a)].
% 0.46/1.07 100 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | a_2_0_filter_0(A,B) = k2_filter_0(A,B) # label(d3_filter_0) # label(axiom). [clausify(6)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | a_2_0_filter_0(c4,A) = k2_filter_0(c4,A). [resolve(100,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | a_2_0_filter_0(c8,A) = k2_filter_0(c8,A). [resolve(100,c,80,a)].
% 0.46/1.07 101 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | k2_filter_2(A,B) = k2_filter_0(A,B) # label(redefinition_k2_filter_2) # label(axiom). [clausify(40)].
% 0.46/1.07 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | k2_filter_2(c4,A) = k2_filter_0(c4,A). [resolve(101,c,79,a)].
% 0.46/1.07 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | k2_filter_2(c8,A) = k2_filter_0(c8,A). [resolve(101,c,80,a)].
% 0.46/1.08 102 v3_struct_0(A) | -v10_lattices(A) | -v14_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | r3_lattices(A,B,k6_lattices(A)) # label(t45_lattices) # label(axiom). [clausify(53)].
% 0.46/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -v14_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | r3_lattices(c4,A,k6_lattices(c4)). [resolve(102,d,79,a)].
% 0.46/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -v14_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | r3_lattices(c8,A,k6_lattices(c8)). [resolve(102,d,80,a)].
% 0.46/1.08 103 -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(4)].
% 0.46/1.08 Derived: v3_struct_0(c4) | -v4_lattices(c4) | -v5_lattices(c4) | -v6_lattices(c4) | -v7_lattices(c4) | -v8_lattices(c4) | -v9_lattices(c4) | v10_lattices(c4). [resolve(103,a,79,a)].
% 0.46/1.08 Derived: v3_struct_0(c8) | -v4_lattices(c8) | -v5_lattices(c8) | -v6_lattices(c8) | -v7_lattices(c8) | -v8_lattices(c8) | -v9_lattices(c8) | v10_lattices(c8). [resolve(103,a,80,a)].
% 0.46/1.08 104 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -v1_xboole_0(k22_filter_2(A,B,C)) # label(dt_k22_filter_2) # label(axiom). [clausify(9)].
% 0.46/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | -v1_xboole_0(k22_filter_2(c4,A,B)). [resolve(104,c,79,a)].
% 0.46/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | -v1_xboole_0(k22_filter_2(c8,A,B)). [resolve(104,c,80,a)].
% 0.46/1.08 105 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | m2_lattice4(k22_filter_2(A,B,C),A) # label(dt_k22_filter_2) # label(axiom). [clausify(9)].
% 0.46/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | m2_lattice4(k22_filter_2(c4,A,B),c4). [resolve(105,c,79,a)].
% 0.46/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | m2_lattice4(k22_filter_2(c8,A,B),c8). [resolve(105,c,80,a)].
% 0.46/1.08 106 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -r2_hidden(C,a_2_0_filter_0(A,B)) | f6(C,A,B) = C # label(fraenkel_a_2_0_filter_0) # label(axiom). [clausify(32)].
% 0.46/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -r2_hidden(B,a_2_0_filter_0(c4,A)) | f6(B,c4,A) = B. [resolve(106,c,79,a)].
% 0.46/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -r2_hidden(B,a_2_0_filter_0(c8,A)) | f6(B,c8,A) = B. [resolve(106,c,80,a)].
% 0.46/1.08 107 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -r2_hidden(C,a_2_0_filter_0(A,B)) | m1_subset_1(f6(C,A,B),u1_struct_0(A)) # label(fraenkel_a_2_0_filter_0) # label(axiom). [clausify(32)].
% 0.46/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -r2_hidden(B,a_2_0_filter_0(c4,A)) | m1_subset_1(f6(B,c4,A),u1_struct_0(c4)). [resolve(107,c,79,a)].
% 0.46/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -r2_hidden(B,a_2_0_filter_0(c8,A)) | m1_subset_1(f6(B,c8,A),u1_struct_0(c8)). [resolve(107,c,80,a)].
% 0.46/1.08 108 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -r2_hidden(C,a_2_0_filter_0(A,B)) | r3_lattices(A,B,f6(C,A,B)) # label(fraenkel_a_2_0_filter_0) # label(axiom). [clausify(32)].
% 0.46/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -r2_hidden(B,a_2_0_filter_0(c4,A)) | r3_lattices(c4,A,f6(B,c4,A)). [resolve(108,c,79,a)].
% 0.46/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -r2_hidden(B,a_2_0_filter_0(c8,A)) | r3_lattices(c8,A,f6(B,c8,A)). [resolve(108,c,80,a)].
% 0.46/1.08 109 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,B) # label(reflexivity_r3_lattices) # label(axiom). [clausify(46)].
% 0.81/1.08 Derived: v3_struct_0(c4) | -v6_lattices(c4) | -v8_lattices(c4) | -v9_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | r3_lattices(c4,A,A). [resolve(109,e,79,a)].
% 0.81/1.08 Derived: v3_struct_0(c8) | -v6_lattices(c8) | -v8_lattices(c8) | -v9_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | r3_lattices(c8,A,A). [resolve(109,e,80,a)].
% 0.81/1.08 110 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r2_hidden(B,k2_filter_0(A,C)) | r3_lattices(A,C,B) # label(t18_filter_0) # label(axiom). [clausify(48)].
% 0.81/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | -r2_hidden(A,k2_filter_0(c4,B)) | r3_lattices(c4,B,A). [resolve(110,c,79,a)].
% 0.81/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | -r2_hidden(A,k2_filter_0(c8,B)) | r3_lattices(c8,B,A). [resolve(110,c,80,a)].
% 0.81/1.08 111 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r2_hidden(B,k2_filter_0(A,C)) | -r3_lattices(A,C,B) # label(t18_filter_0) # label(axiom). [clausify(48)].
% 0.81/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | r2_hidden(A,k2_filter_0(c4,B)) | -r3_lattices(c4,B,A). [resolve(111,c,79,a)].
% 0.81/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | r2_hidden(A,k2_filter_0(c8,B)) | -r3_lattices(c8,B,A). [resolve(111,c,80,a)].
% 0.81/1.08 112 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | r2_hidden(C,a_2_0_filter_0(A,B)) | -m1_subset_1(D,u1_struct_0(A)) | D != C | -r3_lattices(A,B,D) # label(fraenkel_a_2_0_filter_0) # label(axiom). [clausify(32)].
% 0.81/1.08 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | r2_hidden(B,a_2_0_filter_0(c4,A)) | -m1_subset_1(C,u1_struct_0(c4)) | C != B | -r3_lattices(c4,A,C). [resolve(112,c,79,a)].
% 0.81/1.08 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | r2_hidden(B,a_2_0_filter_0(c8,A)) | -m1_subset_1(C,u1_struct_0(c8)) | C != B | -r3_lattices(c8,A,C). [resolve(112,c,80,a)].
% 0.81/1.08 113 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -r3_lattices(A,B,C) | r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(43)].
% 0.81/1.08 Derived: v3_struct_0(c4) | -v6_lattices(c4) | -v8_lattices(c4) | -v9_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | -r3_lattices(c4,A,B) | r1_lattices(c4,A,B). [resolve(113,e,79,a)].
% 0.81/1.08 Derived: v3_struct_0(c8) | -v6_lattices(c8) | -v8_lattices(c8) | -v9_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | -r3_lattices(c8,A,B) | r1_lattices(c8,A,B). [resolve(113,e,80,a)].
% 0.81/1.08 114 v3_struct_0(A) | -v6_lattices(A) | -v8_lattices(A) | -v9_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | r3_lattices(A,B,C) | -r1_lattices(A,B,C) # label(redefinition_r3_lattices) # label(axiom). [clausify(43)].
% 0.81/1.08 Derived: v3_struct_0(c4) | -v6_lattices(c4) | -v8_lattices(c4) | -v9_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | r3_lattices(c4,A,B) | -r1_lattices(c4,A,B). [resolve(114,e,79,a)].
% 0.81/1.08 Derived: v3_struct_0(c8) | -v6_lattices(c8) | -v8_lattices(c8) | -v9_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | r3_lattices(c8,A,B) | -r1_lattices(c8,A,B). [resolve(114,e,80,a)].
% 0.81/1.08 115 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -r3_lattices(A,B,C) | -r2_hidden(D,k22_filter_2(A,B,C)) | r3_lattices(A,B,D) # label(t63_filter_2) # label(axiom). [clausify(56)].
% 0.81/1.10 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | -m1_subset_1(C,u1_struct_0(c4)) | -r3_lattices(c4,A,B) | -r2_hidden(C,k22_filter_2(c4,A,B)) | r3_lattices(c4,A,C). [resolve(115,c,79,a)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | -m1_subset_1(C,u1_struct_0(c8)) | -r3_lattices(c8,A,B) | -r2_hidden(C,k22_filter_2(c8,A,B)) | r3_lattices(c8,A,C). [resolve(115,c,80,a)].
% 0.81/1.10 116 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -r3_lattices(A,B,C) | -r2_hidden(D,k22_filter_2(A,B,C)) | r3_lattices(A,D,C) # label(t63_filter_2) # label(axiom). [clausify(56)].
% 0.81/1.10 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | -m1_subset_1(C,u1_struct_0(c4)) | -r3_lattices(c4,A,B) | -r2_hidden(C,k22_filter_2(c4,A,B)) | r3_lattices(c4,C,B). [resolve(116,c,79,a)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | -m1_subset_1(C,u1_struct_0(c8)) | -r3_lattices(c8,A,B) | -r2_hidden(C,k22_filter_2(c8,A,B)) | r3_lattices(c8,C,B). [resolve(116,c,80,a)].
% 0.81/1.10 117 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | -m1_subset_1(C,u1_struct_0(A)) | -m1_subset_1(D,u1_struct_0(A)) | -r3_lattices(A,B,C) | r2_hidden(D,k22_filter_2(A,B,C)) | -r3_lattices(A,B,D) | -r3_lattices(A,D,C) # label(t63_filter_2) # label(axiom). [clausify(56)].
% 0.81/1.10 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -m1_subset_1(B,u1_struct_0(c4)) | -m1_subset_1(C,u1_struct_0(c4)) | -r3_lattices(c4,A,B) | r2_hidden(C,k22_filter_2(c4,A,B)) | -r3_lattices(c4,A,C) | -r3_lattices(c4,C,B). [resolve(117,c,79,a)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -m1_subset_1(B,u1_struct_0(c8)) | -m1_subset_1(C,u1_struct_0(c8)) | -r3_lattices(c8,A,B) | r2_hidden(C,k22_filter_2(c8,A,B)) | -r3_lattices(c8,A,C) | -r3_lattices(c8,C,B). [resolve(117,c,80,a)].
% 0.81/1.10 118 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(71,b,64,b)].
% 0.81/1.10 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(118,a,79,a)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(118,a,80,a)].
% 0.81/1.10 119 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f10(A)). [resolve(71,b,68,b)].
% 0.81/1.10 Derived: v3_struct_0(c4) | -v1_xboole_0(f10(c4)). [resolve(119,a,79,a)].
% 0.81/1.10 Derived: v3_struct_0(c8) | -v1_xboole_0(f10(c8)). [resolve(119,a,80,a)].
% 0.81/1.10 120 -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f10(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(71,b,69,b)].
% 0.81/1.10 Derived: v3_struct_0(c4) | m1_subset_1(f10(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(120,a,79,a)].
% 0.81/1.10 Derived: v3_struct_0(c8) | m1_subset_1(f10(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(120,a,80,a)].
% 0.81/1.10 121 v3_struct_0(A) | m1_subset_1(k6_lattices(A),u1_struct_0(A)) | -l3_lattices(A). [resolve(72,b,74,b)].
% 0.81/1.10 Derived: v3_struct_0(c4) | m1_subset_1(k6_lattices(c4),u1_struct_0(c4)). [resolve(121,c,79,a)].
% 0.81/1.10 Derived: v3_struct_0(c8) | m1_subset_1(k6_lattices(c8),u1_struct_0(c8)). [resolve(121,c,80,a)].
% 0.81/1.10 122 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(52)].
% 0.81/1.10 123 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(45)].
% 0.81/1.10 124 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(52)].
% 0.81/1.10 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(122,b,123,a)].
% 0.81/1.10
% 0.81/1.10 ============================== end predicate elimination =============
% 0.81/1.10
% 0.81/1.10 Auto_denials: (non-Horn, no changes).
% 0.81/1.10
% 0.81/1.10 Term ordering decisions:
% 0.81/1.10 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. a_2_0_filter_0=1. k2_filter_0=1. k2_filter_2=1. f11=1. u1_struct_0=1. k1_zfmisc_1=1. k6_lattices=1. f2=1. f3=1. f4=1. f5=1. f7=1. f8=1. f9=1. f10=1. k22_filter_2=1. f1=1. f6=1.
% 0.81/1.10
% 0.81/1.10 ============================== end of process initCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------