TSTP Solution File: LAT330+1 by Prover9---1109a
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- Process Solution
%------------------------------------------------------------------------------
% File : Prover9---1109a
% Problem : LAT330+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 06:27:39 EDT 2022
% Result : Timeout 300.09s 300.37s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT330+1 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : tptp2X_and_run_prover9 %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 30 06:17:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.75/1.02 ============================== Prover9 ===============================
% 0.75/1.02 Prover9 (32) version 2009-11A, November 2009.
% 0.75/1.02 Process 12104 was started by sandbox on n008.cluster.edu,
% 0.75/1.02 Thu Jun 30 06:17:53 2022
% 0.75/1.02 The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_11950_n008.cluster.edu".
% 0.75/1.02 ============================== end of head ===========================
% 0.75/1.02
% 0.75/1.02 ============================== INPUT =================================
% 0.75/1.02
% 0.75/1.02 % Reading from file /tmp/Prover9_11950_n008.cluster.edu
% 0.75/1.02
% 0.75/1.02 set(prolog_style_variables).
% 0.75/1.02 set(auto2).
% 0.75/1.02 % set(auto2) -> set(auto).
% 0.75/1.02 % set(auto) -> set(auto_inference).
% 0.75/1.02 % set(auto) -> set(auto_setup).
% 0.75/1.02 % set(auto_setup) -> set(predicate_elim).
% 0.75/1.02 % set(auto_setup) -> assign(eq_defs, unfold).
% 0.75/1.02 % set(auto) -> set(auto_limits).
% 0.75/1.02 % set(auto_limits) -> assign(max_weight, "100.000").
% 0.75/1.02 % set(auto_limits) -> assign(sos_limit, 20000).
% 0.75/1.02 % set(auto) -> set(auto_denials).
% 0.75/1.02 % set(auto) -> set(auto_process).
% 0.75/1.02 % set(auto2) -> assign(new_constants, 1).
% 0.75/1.02 % set(auto2) -> assign(fold_denial_max, 3).
% 0.75/1.02 % set(auto2) -> assign(max_weight, "200.000").
% 0.75/1.02 % set(auto2) -> assign(max_hours, 1).
% 0.75/1.02 % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.75/1.02 % set(auto2) -> assign(max_seconds, 0).
% 0.75/1.02 % set(auto2) -> assign(max_minutes, 5).
% 0.75/1.02 % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.75/1.02 % set(auto2) -> set(sort_initial_sos).
% 0.75/1.02 % set(auto2) -> assign(sos_limit, -1).
% 0.75/1.02 % set(auto2) -> assign(lrs_ticks, 3000).
% 0.75/1.02 % set(auto2) -> assign(max_megs, 400).
% 0.75/1.02 % set(auto2) -> assign(stats, some).
% 0.75/1.02 % set(auto2) -> clear(echo_input).
% 0.75/1.02 % set(auto2) -> set(quiet).
% 0.75/1.02 % set(auto2) -> clear(print_initial_clauses).
% 0.75/1.02 % set(auto2) -> clear(print_given).
% 0.75/1.02 assign(lrs_ticks,-1).
% 0.75/1.02 assign(sos_limit,10000).
% 0.75/1.02 assign(order,kbo).
% 0.75/1.02 set(lex_order_vars).
% 0.75/1.02 clear(print_given).
% 0.75/1.02
% 0.75/1.02 % formulas(sos). % not echoed (56 formulas)
% 0.75/1.02
% 0.75/1.02 ============================== end of input ==========================
% 0.75/1.02
% 0.75/1.02 % From the command line: assign(max_seconds, 300).
% 0.75/1.02
% 0.75/1.02 ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.75/1.02
% 0.75/1.02 % Formulas that are not ordinary clauses:
% 0.75/1.02 1 (all A all B (r2_hidden(A,B) -> -r2_hidden(B,A))) # label(antisymmetry_r2_hidden) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 2 (all A (v1_xboole_0(A) -> v1_funct_1(A))) # label(cc1_funct_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 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].
% 0.75/1.02 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].
% 0.75/1.02 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].
% 0.75/1.02 6 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> k18_filter_2(A,B) = a_2_0_filter_2(A,B))))) # label(d9_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 7 (all A all B (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) & m1_subset_1(B,u1_struct_0(A)) -> m2_filter_2(k18_filter_2(A,B),A))) # label(dt_k18_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 8 $T # label(dt_k1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 9 $T # label(dt_k1_zfmisc_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 10 (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].
% 0.75/1.02 11 (all A (-v3_struct_0(A) & l1_lattices(A) -> m1_subset_1(k5_lattices(A),u1_struct_0(A)))) # label(dt_k5_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 12 (all A (l1_lattices(A) -> l1_struct_0(A))) # label(dt_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 13 $T # label(dt_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 14 (all A (l2_lattices(A) -> l1_struct_0(A))) # label(dt_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 15 (all A (l3_lattices(A) -> l1_lattices(A) & l2_lattices(A))) # label(dt_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 16 $T # label(dt_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 17 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m2_filter_2(B,A) -> -v1_xboole_0(B) & m2_lattice4(B,A))))) # label(dt_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 18 (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].
% 0.75/1.02 19 $T # label(dt_u1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 20 (exists A l1_lattices(A)) # label(existence_l1_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 21 (exists A l1_struct_0(A)) # label(existence_l1_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 22 (exists A l2_lattices(A)) # label(existence_l2_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 23 (exists A l3_lattices(A)) # label(existence_l3_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 24 (all A exists B m1_subset_1(B,A)) # label(existence_m1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 25 (all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (exists B m2_filter_2(B,A)))) # label(existence_m2_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 26 (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].
% 0.75/1.02 27 (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].
% 0.75/1.02 28 (all A -v1_xboole_0(k1_zfmisc_1(A))) # label(fc1_subset_1) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 29 (all A all B all C (-v3_struct_0(B) & v10_lattices(B) & l3_lattices(B) & m1_subset_1(C,u1_struct_0(B)) -> (r2_hidden(A,a_2_0_filter_2(B,C)) <-> (exists D (m1_subset_1(D,u1_struct_0(B)) & A = D & r3_lattices(B,D,C)))))) # label(fraenkel_a_2_0_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 30 (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].
% 0.75/1.02 31 (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].
% 0.75/1.02 32 (exists A v1_xboole_0(A)) # label(rc1_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 33 (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].
% 0.75/1.02 34 (exists A -v1_xboole_0(A)) # label(rc2_xboole_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 35 (exists A (l1_struct_0(A) & -v3_struct_0(A))) # label(rc3_struct_0) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 36 (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].
% 0.75/1.02 37 (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].
% 0.75/1.02 38 (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].
% 0.75/1.02 39 (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].
% 0.75/1.02 40 (all A all B r1_tarski(A,A)) # label(reflexivity_r1_tarski) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 41 (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].
% 0.75/1.02 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) -> r1_filter_2(A,C,B)))) # label(symmetry_r1_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 43 (all A all B (r2_hidden(A,B) -> m1_subset_1(A,B))) # label(t1_subset) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 44 (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,k18_filter_2(A,C)) <-> r3_lattices(A,B,C)))))))) # label(t29_filter_2) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 45 (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].
% 0.75/1.02 46 (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].
% 0.75/1.02 47 (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].
% 0.75/1.02 48 (all A (-v3_struct_0(A) & v10_lattices(A) & v13_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> r3_lattices(A,k5_lattices(A),B))))) # label(t41_lattices) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 49 (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].
% 0.75/1.02 50 (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].
% 0.75/1.02 51 (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].
% 0.75/1.02 52 (all A (v1_xboole_0(A) -> A = k1_xboole_0)) # label(t6_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 53 (all A all B -(r2_hidden(A,B) & v1_xboole_0(B))) # label(t7_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 54 (all A all B -(v1_xboole_0(A) & A != B & v1_xboole_0(B))) # label(t8_boole) # label(axiom) # label(non_clause). [assumption].
% 0.75/1.02 55 -(all A (-v3_struct_0(A) & v10_lattices(A) & l3_lattices(A) -> (all B (m1_subset_1(B,u1_struct_0(A)) -> (v13_lattices(A) -> r1_filter_2(u1_struct_0(A),k18_filter_2(A,B),k22_filter_2(A,k5_lattices(A),B))))))) # label(t67_filter_2) # label(negated_conjecture) # label(non_clause). [assumption].
% 0.75/1.02
% 0.75/1.02 ============================== end of process non-clausal formulas ===
% 0.75/1.02
% 0.75/1.02 ============================== PROCESS INITIAL CLAUSES ===============
% 0.75/1.02
% 0.75/1.02 ============================== PREDICATE ELIMINATION =================
% 0.75/1.02 56 -l1_lattices(A) | l1_struct_0(A) # label(dt_l1_lattices) # label(axiom). [clausify(12)].
% 0.75/1.02 57 l1_lattices(c1) # label(existence_l1_lattices) # label(axiom). [clausify(20)].
% 0.75/1.02 Derived: l1_struct_0(c1). [resolve(56,a,57,a)].
% 0.75/1.02 58 -l3_lattices(A) | l1_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(15)].
% 0.75/1.02 Derived: -l3_lattices(A) | l1_struct_0(A). [resolve(58,b,56,a)].
% 0.75/1.02 59 v3_struct_0(A) | -l1_lattices(A) | m1_subset_1(k5_lattices(A),u1_struct_0(A)) # label(dt_k5_lattices) # label(axiom). [clausify(11)].
% 0.75/1.03 Derived: v3_struct_0(c1) | m1_subset_1(k5_lattices(c1),u1_struct_0(c1)). [resolve(59,b,57,a)].
% 0.75/1.03 Derived: v3_struct_0(A) | m1_subset_1(k5_lattices(A),u1_struct_0(A)) | -l3_lattices(A). [resolve(59,b,58,b)].
% 0.75/1.03 60 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) # label(fc1_struct_0) # label(axiom). [clausify(27)].
% 0.75/1.03 61 l1_struct_0(c2) # label(existence_l1_struct_0) # label(axiom). [clausify(21)].
% 0.75/1.03 62 l1_struct_0(c7) # label(rc3_struct_0) # label(axiom). [clausify(35)].
% 0.75/1.03 63 -l2_lattices(A) | l1_struct_0(A) # label(dt_l2_lattices) # label(axiom). [clausify(14)].
% 0.75/1.03 Derived: v3_struct_0(c2) | -v1_xboole_0(u1_struct_0(c2)). [resolve(60,b,61,a)].
% 0.75/1.03 Derived: v3_struct_0(c7) | -v1_xboole_0(u1_struct_0(c7)). [resolve(60,b,62,a)].
% 0.75/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(60,b,63,b)].
% 0.75/1.03 64 v3_struct_0(A) | -l1_struct_0(A) | -v1_xboole_0(f9(A)) # label(rc5_struct_0) # label(axiom). [clausify(36)].
% 0.75/1.03 Derived: v3_struct_0(c2) | -v1_xboole_0(f9(c2)). [resolve(64,b,61,a)].
% 0.75/1.03 Derived: v3_struct_0(c7) | -v1_xboole_0(f9(c7)). [resolve(64,b,62,a)].
% 0.75/1.03 Derived: v3_struct_0(A) | -v1_xboole_0(f9(A)) | -l2_lattices(A). [resolve(64,b,63,b)].
% 0.75/1.03 65 v3_struct_0(A) | -l1_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) # label(rc5_struct_0) # label(axiom). [clausify(36)].
% 0.75/1.03 Derived: v3_struct_0(c2) | m1_subset_1(f9(c2),k1_zfmisc_1(u1_struct_0(c2))). [resolve(65,b,61,a)].
% 0.75/1.03 Derived: v3_struct_0(c7) | m1_subset_1(f9(c7),k1_zfmisc_1(u1_struct_0(c7))). [resolve(65,b,62,a)].
% 0.75/1.03 Derived: v3_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(65,b,63,b)].
% 0.75/1.03 66 l1_struct_0(c1). [resolve(56,a,57,a)].
% 0.75/1.03 Derived: v3_struct_0(c1) | -v1_xboole_0(u1_struct_0(c1)). [resolve(66,a,60,b)].
% 0.75/1.03 Derived: v3_struct_0(c1) | -v1_xboole_0(f9(c1)). [resolve(66,a,64,b)].
% 0.75/1.03 Derived: v3_struct_0(c1) | m1_subset_1(f9(c1),k1_zfmisc_1(u1_struct_0(c1))). [resolve(66,a,65,b)].
% 0.75/1.03 67 -l3_lattices(A) | l1_struct_0(A). [resolve(58,b,56,a)].
% 0.75/1.03 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(67,b,60,b)].
% 0.75/1.03 Derived: -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f9(A)). [resolve(67,b,64,b)].
% 0.75/1.03 Derived: -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(67,b,65,b)].
% 0.75/1.03 68 v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)) | -l2_lattices(A). [resolve(60,b,63,b)].
% 0.75/1.03 69 l2_lattices(c3) # label(existence_l2_lattices) # label(axiom). [clausify(22)].
% 0.75/1.03 70 -l3_lattices(A) | l2_lattices(A) # label(dt_l3_lattices) # label(axiom). [clausify(15)].
% 0.75/1.03 Derived: v3_struct_0(c3) | -v1_xboole_0(u1_struct_0(c3)). [resolve(68,c,69,a)].
% 0.75/1.03 71 v3_struct_0(A) | -v1_xboole_0(f9(A)) | -l2_lattices(A). [resolve(64,b,63,b)].
% 0.75/1.03 Derived: v3_struct_0(c3) | -v1_xboole_0(f9(c3)). [resolve(71,c,69,a)].
% 0.75/1.03 72 v3_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))) | -l2_lattices(A). [resolve(65,b,63,b)].
% 0.75/1.03 Derived: v3_struct_0(c3) | m1_subset_1(f9(c3),k1_zfmisc_1(u1_struct_0(c3))). [resolve(72,c,69,a)].
% 0.75/1.03 73 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v4_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.75/1.03 74 l3_lattices(c4) # label(existence_l3_lattices) # label(axiom). [clausify(23)].
% 0.75/1.03 75 l3_lattices(c8) # label(t67_filter_2) # label(negated_conjecture). [clausify(55)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v4_lattices(c4). [resolve(73,a,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v4_lattices(c8). [resolve(73,a,75,a)].
% 0.75/1.03 76 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v5_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v5_lattices(c4). [resolve(76,a,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v5_lattices(c8). [resolve(76,a,75,a)].
% 0.75/1.03 77 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v6_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v6_lattices(c4). [resolve(77,a,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v6_lattices(c8). [resolve(77,a,75,a)].
% 0.75/1.03 78 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v7_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v7_lattices(c4). [resolve(78,a,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v7_lattices(c8). [resolve(78,a,75,a)].
% 0.75/1.03 79 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v8_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v8_lattices(c4). [resolve(79,a,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v8_lattices(c8). [resolve(79,a,75,a)].
% 0.75/1.03 80 -l3_lattices(A) | v3_struct_0(A) | -v10_lattices(A) | v9_lattices(A) # label(cc1_lattices) # label(axiom). [clausify(3)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | v9_lattices(c4). [resolve(80,a,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | v9_lattices(c8). [resolve(80,a,75,a)].
% 0.75/1.03 81 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -v1_xboole_0(f6(A)) # label(rc1_lattice4) # label(axiom). [clausify(30)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -v1_xboole_0(f6(c4)). [resolve(81,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -v1_xboole_0(f6(c8)). [resolve(81,c,75,a)].
% 0.75/1.03 82 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_filter_2(f3(A),A) # label(existence_m2_filter_2) # label(axiom). [clausify(25)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_filter_2(f3(c4),c4). [resolve(82,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_filter_2(f3(c8),c8). [resolve(82,c,75,a)].
% 0.75/1.03 83 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f4(A),A) # label(existence_m2_lattice4) # label(axiom). [clausify(26)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f4(c4),c4). [resolve(83,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f4(c8),c8). [resolve(83,c,75,a)].
% 0.75/1.03 84 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | m2_lattice4(f6(A),A) # label(rc1_lattice4) # label(axiom). [clausify(30)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | m2_lattice4(f6(c4),c4). [resolve(84,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | m2_lattice4(f6(c8),c8). [resolve(84,c,75,a)].
% 0.75/1.03 85 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | -v1_xboole_0(B) # label(dt_m2_filter_2) # label(axiom). [clausify(17)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_filter_2(A,c4) | -v1_xboole_0(A). [resolve(85,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | -v1_xboole_0(A). [resolve(85,c,75,a)].
% 0.75/1.03 86 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m2_filter_2(B,A) | m2_lattice4(B,A) # label(dt_m2_filter_2) # label(axiom). [clausify(17)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_filter_2(A,c4) | m2_lattice4(A,c4). [resolve(86,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_filter_2(A,c8) | m2_lattice4(A,c8). [resolve(86,c,75,a)].
% 0.75/1.03 87 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(18)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m2_lattice4(A,c4) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c4))). [resolve(87,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m2_lattice4(A,c8) | m1_subset_1(A,k1_zfmisc_1(u1_struct_0(c8))). [resolve(87,c,75,a)].
% 0.75/1.03 88 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | m2_filter_2(k18_filter_2(A,B),A) # label(dt_k18_filter_2) # label(axiom). [clausify(7)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | m2_filter_2(k18_filter_2(c4,A),c4). [resolve(88,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | m2_filter_2(k18_filter_2(c8,A),c8). [resolve(88,c,75,a)].
% 0.75/1.03 89 v3_struct_0(A) | -v10_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | a_2_0_filter_2(A,B) = k18_filter_2(A,B) # label(d9_filter_2) # label(axiom). [clausify(6)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | a_2_0_filter_2(c4,A) = k18_filter_2(c4,A). [resolve(89,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | a_2_0_filter_2(c8,A) = k18_filter_2(c8,A). [resolve(89,c,75,a)].
% 0.75/1.03 90 v3_struct_0(A) | -v10_lattices(A) | -v13_lattices(A) | -l3_lattices(A) | -m1_subset_1(B,u1_struct_0(A)) | r3_lattices(A,k5_lattices(A),B) # label(t41_lattices) # label(axiom). [clausify(48)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -v13_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | r3_lattices(c4,k5_lattices(c4),A). [resolve(90,d,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -v13_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | r3_lattices(c8,k5_lattices(c8),A). [resolve(90,d,75,a)].
% 0.75/1.03 91 -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)].
% 0.75/1.03 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(91,a,74,a)].
% 0.75/1.03 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(91,a,75,a)].
% 0.75/1.03 92 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(10)].
% 0.75/1.03 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(92,c,74,a)].
% 0.75/1.03 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(92,c,75,a)].
% 0.75/1.03 93 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(10)].
% 0.75/1.03 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(93,c,74,a)].
% 0.75/1.03 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(93,c,75,a)].
% 0.75/1.03 94 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_2(A,B)) | f5(C,A,B) = C # label(fraenkel_a_2_0_filter_2) # label(axiom). [clausify(29)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -r2_hidden(B,a_2_0_filter_2(c4,A)) | f5(B,c4,A) = B. [resolve(94,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -r2_hidden(B,a_2_0_filter_2(c8,A)) | f5(B,c8,A) = B. [resolve(94,c,75,a)].
% 0.75/1.03 95 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_2(A,B)) | m1_subset_1(f5(C,A,B),u1_struct_0(A)) # label(fraenkel_a_2_0_filter_2) # label(axiom). [clausify(29)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -r2_hidden(B,a_2_0_filter_2(c4,A)) | m1_subset_1(f5(B,c4,A),u1_struct_0(c4)). [resolve(95,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -r2_hidden(B,a_2_0_filter_2(c8,A)) | m1_subset_1(f5(B,c8,A),u1_struct_0(c8)). [resolve(95,c,75,a)].
% 0.75/1.03 96 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_2(A,B)) | r3_lattices(A,f5(C,A,B),B) # label(fraenkel_a_2_0_filter_2) # label(axiom). [clausify(29)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | -r2_hidden(B,a_2_0_filter_2(c4,A)) | r3_lattices(c4,f5(B,c4,A),A). [resolve(96,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | -r2_hidden(B,a_2_0_filter_2(c8,A)) | r3_lattices(c8,f5(B,c8,A),A). [resolve(96,c,75,a)].
% 0.75/1.03 97 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(41)].
% 0.75/1.03 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(97,e,74,a)].
% 0.75/1.03 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(97,e,75,a)].
% 0.75/1.03 98 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,k18_filter_2(A,C)) | r3_lattices(A,B,C) # label(t29_filter_2) # label(axiom). [clausify(44)].
% 0.75/1.03 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,k18_filter_2(c4,B)) | r3_lattices(c4,A,B). [resolve(98,c,74,a)].
% 0.75/1.03 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,k18_filter_2(c8,B)) | r3_lattices(c8,A,B). [resolve(98,c,75,a)].
% 0.75/1.03 99 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,k18_filter_2(A,C)) | -r3_lattices(A,B,C) # label(t29_filter_2) # label(axiom). [clausify(44)].
% 0.75/1.03 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,k18_filter_2(c4,B)) | -r3_lattices(c4,A,B). [resolve(99,c,74,a)].
% 0.75/1.03 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,k18_filter_2(c8,B)) | -r3_lattices(c8,A,B). [resolve(99,c,75,a)].
% 0.75/1.03 100 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_2(A,B)) | -m1_subset_1(D,u1_struct_0(A)) | D != C | -r3_lattices(A,D,B) # label(fraenkel_a_2_0_filter_2) # label(axiom). [clausify(29)].
% 0.75/1.03 Derived: v3_struct_0(c4) | -v10_lattices(c4) | -m1_subset_1(A,u1_struct_0(c4)) | r2_hidden(B,a_2_0_filter_2(c4,A)) | -m1_subset_1(C,u1_struct_0(c4)) | C != B | -r3_lattices(c4,C,A). [resolve(100,c,74,a)].
% 0.75/1.03 Derived: v3_struct_0(c8) | -v10_lattices(c8) | -m1_subset_1(A,u1_struct_0(c8)) | r2_hidden(B,a_2_0_filter_2(c8,A)) | -m1_subset_1(C,u1_struct_0(c8)) | C != B | -r3_lattices(c8,C,A). [resolve(100,c,75,a)].
% 0.75/1.03 101 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(38)].
% 0.75/1.03 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(101,e,74,a)].
% 0.75/1.03 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(101,e,75,a)].
% 0.75/1.03 102 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(38)].
% 0.75/1.03 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(102,e,74,a)].
% 0.75/1.03 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(102,e,75,a)].
% 0.75/1.03 103 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(51)].
% 0.75/1.05 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(103,c,74,a)].
% 0.75/1.05 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(103,c,75,a)].
% 0.75/1.05 104 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)) | -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(51)].
% 0.75/1.05 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(104,c,74,a)].
% 0.75/1.05 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(104,c,75,a)].
% 0.75/1.05 105 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)) | -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(51)].
% 0.75/1.05 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(105,c,74,a)].
% 0.75/1.05 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(105,c,75,a)].
% 0.75/1.05 106 v3_struct_0(A) | m1_subset_1(k5_lattices(A),u1_struct_0(A)) | -l3_lattices(A). [resolve(59,b,58,b)].
% 0.75/1.05 Derived: v3_struct_0(c4) | m1_subset_1(k5_lattices(c4),u1_struct_0(c4)). [resolve(106,c,74,a)].
% 0.75/1.05 Derived: v3_struct_0(c8) | m1_subset_1(k5_lattices(c8),u1_struct_0(c8)). [resolve(106,c,75,a)].
% 0.75/1.05 107 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(u1_struct_0(A)). [resolve(67,b,60,b)].
% 0.75/1.05 Derived: v3_struct_0(c4) | -v1_xboole_0(u1_struct_0(c4)). [resolve(107,a,74,a)].
% 0.75/1.05 Derived: v3_struct_0(c8) | -v1_xboole_0(u1_struct_0(c8)). [resolve(107,a,75,a)].
% 0.75/1.05 108 -l3_lattices(A) | v3_struct_0(A) | -v1_xboole_0(f9(A)). [resolve(67,b,64,b)].
% 0.75/1.05 Derived: v3_struct_0(c4) | -v1_xboole_0(f9(c4)). [resolve(108,a,74,a)].
% 0.75/1.05 Derived: v3_struct_0(c8) | -v1_xboole_0(f9(c8)). [resolve(108,a,75,a)].
% 0.75/1.05 109 -l3_lattices(A) | v3_struct_0(A) | m1_subset_1(f9(A),k1_zfmisc_1(u1_struct_0(A))). [resolve(67,b,65,b)].
% 0.75/1.05 Derived: v3_struct_0(c4) | m1_subset_1(f9(c4),k1_zfmisc_1(u1_struct_0(c4))). [resolve(109,a,74,a)].
% 0.75/1.05 Derived: v3_struct_0(c8) | m1_subset_1(f9(c8),k1_zfmisc_1(u1_struct_0(c8))). [resolve(109,a,75,a)].
% 0.75/1.05 110 m1_subset_1(A,k1_zfmisc_1(B)) | -r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(47)].
% 0.75/1.05 111 r1_tarski(A,A) # label(reflexivity_r1_tarski) # label(axiom). [clausify(40)].
% 0.75/1.05 112 -m1_subset_1(A,k1_zfmisc_1(B)) | r1_tarski(A,B) # label(t3_subset) # label(axiom). [clausify(47)].
% 0.75/1.05 Derived: m1_subset_1(A,k1_zfmisc_1(A)). [resolve(110,b,111,a)].
% 0.75/1.05
% 0.75/1.05 ============================== end predicate elimination =============
% 0.75/1.05
% 0.75/1.05 Auto_denials: (non-Horn, no changes).
% 0.75/1.05
% 0.75/1.05 Term ordering decisions:
% 0.75/1.05 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_2=1. k18_filter_2=1. f10=1. u1_struct_0=1. k1_zfmisCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------